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Preprint ARTICLE | doi:10.20944/preprints202404.1225.v1

Solutions for the System of Nonlinear Mixed Variational Inequality Problems

H. Gissy, A. A. H. Ahmadini, Salahuddin .

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: System of nonlinear mixed variational inequality problem; Inverse relaxed monotonicity; Existence; Stability

Online: 18 April 2024 (11:24:36 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.1227.v1

Partition Entropy as a Measure of Regularity of Music Scales

Rafael Cubarsi

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: metric entropy; convex sets; convex functions; continued fractions; best rational approximation; maximal even sets; well-formed scales; pythagorean tuning

Online: 18 April 2024 (08:48:08 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.1144.v1

Time-Optimal Motions of Mechanical System with Viscous Friction

Dmitrii Kamzolkin, Vladimir Ternovski

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: inverse problems; optimal control; maximum principle; viscous friction; reachibility set

Online: 18 April 2024 (07:09:14 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.1055.v1

Robust Algorithms for the Analysis of Fast Field Cycling Nuclear Magnetic Resonance Dispersion Curves

Villiam Bortolotti, Pellegrino Conte, Germana Landi, Paolo Giuseppe Maria Lo Meo, Anastasiia Nagmutdinova, Giovanni Vito Spinelli, Fabiana Zama

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Fast Field-Cycling (FFC) NMR relaxometry; Model-free approach to NMR Dispersion profiles; MuPen and L1 regularization algorithms.

Online: 16 April 2024 (15:52:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.1008.v1

Valuation of Currency Option based on Uncertain Fractional Differential Equation

Weiwei Wang, Dan A. Ralescu, Xiaojuan Xue

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: uncertainty; fractional-order differential equation; currency option; optimistic value

Online: 16 April 2024 (11:07:10 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0740.v1

Functional Process Control (FPC): A Methodology to Reduce Variability

Joaquín Sancho, Javier Martínez, Jorge Pastor, Carlos Cajal

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: functional data; quality; non-normal data; variability; outlier

Online: 10 April 2024 (15:52:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0727.v1

Analyzing Bifurcations and Optimal Control Strategies in SIRS Epidemic Models: Insights from Theory and COVID-19 Data

Mohamed Cherif Belili, Mohamed Lamine Sahari, Omar Kebiri, Halim Zeghdoudi

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Flip bifurcation; Transcritical bifurcation; discrete epidemic model; numerical simulation

Online: 10 April 2024 (11:45:15 CEST)

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Preprint ESSAY | doi:10.20944/preprints202404.0506.v1

Neural Networks through the Lens of Evolutionary Dynamics

Dan C. Baciu

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Evolutionary dynamics; Neural Networks; Self-attention; Variation-selection; Frequency Dependent Selection

Online: 8 April 2024 (06:11:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0353.v1

Fractal Dimension of Generalized Rényian Entropy With Potential Fractal Dimension Applications to Smart Cities

Ismail A Mageed, Ashiq Hussain Bhat

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Fractal dimension; Generalized Ré; nyian Entropy; Koch snowflake; Sierpiniski Gasket; Information; communications Technology (ICT)

Online: 4 April 2024 (08:06:11 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0253.v1

Disturbance Propagation Model of Luggage Drifting Motion Based on Nonlinear Pressure in Typical Passenger Corridors of Transportation Hubs

Bingyu Wei, Rongyong Zhao, Cuiling Li, Miyuan Li, Yulong Ma, Eric S. W. Wong

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Luggage-laden passenger; passenger-luggage flow; disturbance propagation dynamics; luggage drifting disturbance

Online: 3 April 2024 (16:37:35 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0287.v1

Unfolding the Third Approximation of The Time‐Dependent Controller’s Designed Parameter (TDCDP) of Fokker Planck Kolmogorov (FPK) Probability Density Function(PDF)

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Control theory; time-dependent controller’ s designed parameter(TDCDP)

Online: 3 April 2024 (14:14:47 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v64

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Silva Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 2 April 2024 (15:41:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0194.v1

Forecasting the Power Generation Mix in Italy Based on Grey Markov Models

Guglielmo D’Amico, Alex Karagrigoriou, Veronica Vigna

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Markov Chain; Grey Model; Energy Mix; Electricity

Online: 2 April 2024 (13:06:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202404.0126.v1

A Fluid Dynamic Approach To Model And Optimize Energy Flows In Networked Systems

Massimo de Falco, Luigi Rarità, Alfredo Vaccaro

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: energy flows; optimization; simulation

Online: 2 April 2024 (08:27:43 CEST)

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Preprint TECHNICAL NOTE | doi:10.20944/preprints202403.1807.v1

Generalized Definition of the Derivative

Mehmet Pakdemirli

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Limit Definition; Derivative; Error Analysis; Scaling Transformations; Translational Transformations

Online: 29 March 2024 (09:56:14 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1802.v1

Aging Renewal Point Processes and Exchangeability of Event Times

Fabio Vanni, David Lambert

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: renewal processes; exchangeability; statistical aging; survival analysis; high frequency exchange rates

Online: 29 March 2024 (07:41:00 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1726.v1

Jordan-Type Inequalities and Stratification

Miloš Mićović, Branko Malešević

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Jordan’ s inequality; stratified families of functions; a minimax approximant; upper and lower bounds of the sinc function; approximations of the sinc function

Online: 28 March 2024 (05:03:41 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1544.v1

Problem of Heliostat Field Efficiency Calculation Based on Innovative Monte Carlo Simulation

Tengda Xu, Junliang Wu, Tengwei Yang, Jiajia Qin

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: heliostat field; Monte Carlo simulation; light tracing; optimal design

Online: 26 March 2024 (06:31:18 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v63

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Silva Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 25 March 2024 (11:21:37 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v62

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Silva Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 20 March 2024 (12:24:10 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.1205.v1

Persistence and Stochastic Extinction in a Lotka-Volterra Predator-Prey Stochastically Perturbed Model

Leonid Shaikhet, Andrei Korobeinikov

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Ito's stochastic differential equation; the Lyapunov functions method; stability in probability; stabilization by noise; stochastic extinction; persistence

Online: 20 March 2024 (10:23:40 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0995.v1

Fractional Mathematical Models S.V. Dubovsky to Describe K-Waves in Economics

Danil Makarov, Roman Parovik

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: mathematical model; phase trajectory; oscillogram; limit cycle; fractional derivative; Adams-Bashforth-Moulton method; heredity

Online: 18 March 2024 (09:48:46 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1675.v2

Mathematics of Epidemics: On the General Solution of SIRVD, SIRV, SIRD and SIR Compartment Models

Reinhard Schlickeiser, Martin Kröger

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: nonlinear differential equations; analytic solution; vaccination; pandemic spreading

Online: 15 March 2024 (15:03:36 CET)

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The susceptible-infected-recovered-vaccinated-deceased (SIRVD) epidemic compartment model extends the SIR model to include the effects of vaccination campaigns and time-dependent fatality rates on epidemic outbreaks. It encompasses the SIR, SIRV, SIRD, and SI models as special cases, with individual time-dependent rates governing transitions between different fractions. We investigate a special class of exact solutions and accurate analytical approximations for the SIRVD and SIRD compartment models. While the SIRVD and SIRD equations pose complex integro-differential equations for the rate of new infections and the fractions as a function of time, a simpler approach considers determining equations for the sum of ratios for given variations. This approach enables us to derive fully exact analytical solutions for the SIRVD and SIRD models. For nonlinear models with a high-dimensional parameter space, such as the SIRVD and SIRD models, analytical solutions, exact or accurately approximative, are of high importance and interest: not only as suitable benchmarks for numerical codes, but especially as they allow us to understand the critical behavior of epidemic outbursts as well as the decisive role of certain parameters. In the second part of our study, we apply a recently developed analytical approximation for the SIR and SIRV models to the more general SIRVD model. This approximation offers accurate analytical expressions for epidemic quantities, such as the rate of new infections and the fraction of infected persons, particularly when the cumulative fraction of infections is small. The distinction between recovered and deceased individuals in the SIRVD model affects the calculation of the death rate, which is proportional to the infected fraction in the SIRVD/SIRD cases but often proportional to the rate of new infections in many SIR models using a posteriori approach. We demonstrate that the temporal dependence of the infected fraction and the rate of new infections differs when considering the effects of vaccinations and when the real-time dependence of fatality and recovery rates diverge. These differences are highlighted for stationary ratios and gradually decreasing fatality rates. \Revised{The case of stationary ratios allows one to construct a new powerful diagnostics method to extract analytically all SIRVD model parameters from measured COVID-19 data of a completed pandemic wave.

Preprint ARTICLE | doi:10.20944/preprints202403.0810.v1

Extending Group Dynamics Models: Incorporating Heterogeneous Networks to Analyze Cooperative Behaviors and Collective Intelligence in Biological Groups

Yude Fu, Jing Zhu, Xiang Li, Xu Han, Wenhui Tan, Qizi Huangpeng, Xiaojun Duan

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: coordinated behavior; informed leaders; group consistency; biological interaction; power-law distribution; complex network

Online: 14 March 2024 (07:58:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0581.v1

A Mathematical Model of Stochastic Synaptic Noise Dynamics Based Spontaneous Action Potential in Non-neural Cell

Chitaranjan Mahapatra, Inna Samuilik

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: excitable cells; synaptic conductance; background synaptic noise dynamics; mathematical modeling; action potential

Online: 11 March 2024 (21:17:25 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v61

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Silva Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 11 March 2024 (09:04:26 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0557.v1

Information Data Length Theory of Human Emotions, How, What and Why

Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Information data length; Psychological aspects of human emotions; emotional distribution

Online: 11 March 2024 (09:04:13 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0465.v1

Stable Variable Selection Method with Shrinkage Regression Applied to the Selection of Genetic Variants Associated with Alzheimer’s Disease

Vera Afreixo, Ana Helena Tavares, Vera Enes, Miguel Pinheiro, Leonor Rodrigues, Gabriela Moura

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: penalized regression; Akaike’ s Information Criterion; high-dimensional data; stability; overall weighted coefficients; Alzheimer’ s disease; SNP

Online: 8 March 2024 (04:29:51 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0282.v1

Modeling Pandemic Vaccine with Saturated Incidence Rate Based on Disease Induced Death

Odriozola Vazquez

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Vaccine; Basic Reproduction Number; Stabilities; Disease induced death; saturation terms

Online: 5 March 2024 (16:09:00 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0116.v1

A Full-Newton Step Interior-Point Method for Weighted Quadratic Programming Based on the Algebraic Equivalent Transformation

Yongsheng Rao, Jianwei Su, Behrouz Kheirfam

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Quadratic programming; interior-point methods; full-Newton step; weight vector

Online: 4 March 2024 (10:37:31 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v60

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 4 March 2024 (09:56:44 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1306.v1

Validation of a 3D Local-Scale Adaptive Solar Radiation Model by Using Pyranometer Measurements and High-Resolution DEM

Eduardo Rodríguez, Judit García-Ferrero, Maria Sanchez-Aparicio, José Manuel Iglesias, Albert Oliver-Serra, María Jesus Santos Sánchez, Paula Andres-Anaya, José Manuel Cascón, GUSTAVO MONTERO, Alejandro Medina, Susana Lagüela, M.Isabel Asensio, Rafael Montenegro

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Solar radiation; Complex orography; Shadow calculation; LiDAR data; High-resolution DEM; Adaptive mesh; Pyranometer measurement

Online: 4 March 2024 (07:09:50 CET)

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Preprint ARTICLE | doi:10.20944/preprints202403.0098.v1

The Basic k-ϵ Model and a New Fundamentally Based Model of Anisotropic Inhomogeneous Turbulence Compared with DNS of Channel Flow at High Reynolds Number

J.J.H. Brouwers

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Turbulent Channel Flow; k-ϵ model; new fundamentally based model; diffusion representations

Online: 4 March 2024 (05:54:31 CET)

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Preprint ARTICLE | doi:10.20944/preprints202203.0401.v2

Collatz conjecture: an order isomorphic recursive machine

Michael Williams

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Collatz conjecture; order isomorphism; embedding; Rule 50; Jacobsthal numbers; congruence

Online: 1 March 2024 (10:32:19 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1675.v1

Mathematics of Epidemics: On the General Solution of SIRVD, SIRV, SIRD and SIR Compartment Models

Reinhard Schlickeiser, Martin Kröger

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: nonlinear differential equations; analytic solution; vaccination; pandemic spreading

Online: 29 February 2024 (11:31:09 CET)

Show abstract| Download PDF| Share

The susceptible-infected-recovered-vaccinated-deceased (SIRVD) epidemic compartment model extends the SIR model to include the effects of vaccination campaigns and time-dependent fatality rates on epidemic outbreaks. It encompasses the SIR, SIRV, SIRD, and SI models as special cases, with individual time-dependent rates governing transitions between different fractions. We investigate a special class of exact solutions and accurate analytical approximations for the SIRVD and SIRD compartment models. While the SIRVD and SIRD equations pose complex integro-differential equations for the rate of new infections and the fractions as a function of time, a simpler approach considers determining equations for the sum of ratios for given variations. This approach enables us to derive fully exact analytical solutions for the SIRVD and SIRD models. For nonlinear models with a high-dimensional parameter space, such as the SIRVD and SIRD models, analytical solutions, exact or accurately approximative, are of high importance and interest: not only as suitable benchmarks for numerical codes, but especially as they allow us to understand the critical behavior of epidemic outbursts as well as the decisive role of certain parameters. In the second part of our study, we apply a recently developed analytical approximation for the SIR and SIRV models to the more general SIRVD model. This approximation offers accurate analytical expressions for epidemic quantities, such as the rate of new infections and the fraction of infected persons, particularly when the cumulative fraction of infections is small. The distinction between recovered and deceased individuals in the SIRVD model affects the calculation of the death rate, which is proportional to the infected fraction in the SIRVD/SIRD cases but often proportional to the rate of new infections in many SIR models using a posteriori approach. We demonstrate that the temporal dependence of the infected fraction and the rate of new infections differs when considering the effects of vaccinations and when the real-time dependence of fatality and recovery rates diverge. These differences are highlighted for stationary ratios and gradually decreasing fatality rates.

Preprint ARTICLE | doi:10.20944/preprints202302.0051.v59

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 22 February 2024 (01:43:05 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1210.v1

A Comparison of Technological and Socio-Economic Networks. Case Study: Tourist Destination of Durrës, Albania

Besjana Mema, Genta Rexha

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: network distribution; socio/economic networks; technological networks.

Online: 22 February 2024 (01:25:13 CET)

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Preprint REVIEW | doi:10.20944/preprints202402.1162.v1

Lower Bound for the Fokker Planck Kolmogorov (FPK) Probability Density Function Controller's Designed Parameter with FPK applications to Genetics

Ismail A. Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Fokker Planck Kolmogorov(FPK) equations; time-dependent controller’ s designed parameter(TDCDP); probability density function(PDF)

Online: 20 February 2024 (14:22:57 CET)

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Preprint REVIEW | doi:10.20944/preprints202402.1122.v1

How Satellite Imaging and Deep Learning Are Influenced by Tensor Decompositions: A Review

Ismail A. Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Tensor Decompositions (TDs); Satellite Imaging (SI); Deep Learning (DL); Tensor Train Networks (TTNs); Tucker decomposition (TUD); canonical polyadic decomposition (CPD); polyadic decomposition (PD); Roll, Pitch, and Yaw (RPY)

Online: 20 February 2024 (09:08:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.1119.v1

Threshold and Upper Bound for the Controller’s Designed Parameter of Fokker Planck Kolmogorov Probability Density Function with Applications to Cryptocurrency

Ismail A. Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: fokker planck kolmogorov (FPK) equations; time-dependent controller’ s designed parameter (TDCDP); probability density function (PDF)

Online: 20 February 2024 (08:59:36 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0954.v1

Fractal Dimension of Ismail’s Third Entropy with Fractal Applications to CubeSat Technologies and Education

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Fractal dimension; Ismail’ s third entropy; CubeSat Technologies; Education

Online: 19 February 2024 (14:31:34 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0973.v1

Delay Embedding Spatio-Temporal Dynamic Mode Decomposition

Gyurhan Nedzhibov

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: DMDmethod; Spatio-Temporal Dynamicmode decomposition; Koopman operator; Delay embedding

Online: 19 February 2024 (11:19:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v58

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 19 February 2024 (08:34:46 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v57

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 14 February 2024 (15:26:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v56

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 14 February 2024 (03:36:03 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0663.v1

Star and Wheel on Recognition of Cancer and Neutrosophic SuperHyperGraph with a Specific Type of Independency of SuperHyperVertices

Henry Garrett

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Neutrosophic SuperHyperGraph; SuperHyper_STABLE; Cancer's Neutrosophic Recognition

Online: 13 February 2024 (07:48:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0548.v1

Ismail’s Ratio Conquers New Horizons the Non-stationary M/G/1 Queue’s State Variable Closed Form Expression

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Time Varying ; queueing system; number of customers; mean arrival rate; time; The Pointwise Stionary Fluid Flow Approximation(PSFFA); Time Varying queueing systems(TVQSs)

Online: 9 February 2024 (11:17:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v55

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 5 February 2024 (15:32:59 CET)

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Preprint REVIEW | doi:10.20944/preprints202402.0254.v1

Entropy has a Great Potential to Steer Education above and Beyond

Ismail A. Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Entropy; education

Online: 5 February 2024 (13:51:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0013.v2

The Revised Schrödinger Equation as a Solution of Measurement Paradox: A Unified Model of the U-procedure and R-procedure

Yingrui Yang

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: The measurement problem; U-R procedures; the Yes/No type measurement; stochastic sampling; sample phase; Born probability

Online: 5 February 2024 (11:00:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0261.v1

A Review of Modelling and SimulationTechniques for Life Support Systems and Queueing Systems

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Review; calibration; validation; verification; goal seeking; queueing systems

Online: 5 February 2024 (10:31:43 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v54

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 2 February 2024 (10:29:42 CET)

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Preprint ARTICLE | doi:10.20944/preprints202402.0013.v1

A Stochastic Sampling Approach to the Measurement Problem

Yingrui Yang

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: U-R procedures; the Yes/No type measurement; stochastic sampling; sample phase; Schrö; dinger equation; Born probability

Online: 1 February 2024 (08:27:48 CET)

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Preprint SHORT NOTE | doi:10.20944/preprints202401.2243.v1

Upper and Lower Bounds of the State Variable of M/G/1 Psffa Model of the Non‐Stationary m/E_k/1 Queueing System

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: PSFFA Model; Non-stationary M/Ek/1 queueing system; threshold; upper and lower bounds; ; set of phases

Online: 31 January 2024 (15:52:35 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.2104.v1

A Geometrical Study about the Biparametric Family of Anomalies in the Elliptic Two Body Problem with Extensions to Other Families

José Antonio López Ortí, Francisco José Marco Castillo, María José Martínez Usó

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Mathematical models in engineering; Celestial mechanics; Two-body problem; Orbital
motion; Analytical regularization of the step size.

Online: 30 January 2024 (14:22:31 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.2097.v1

Explicit P1 Finite Element Solution of the Maxwell-Wave Equation Coupling Problem with Absorbing b. c.

Larisa Beilina, Vitoriano Ruas

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Absorbing boundary conditions; Coupling problem; Wave equation; Maxwell's equations; Dielectric permittivity; Explicit scheme; Finite elements; Lumped mass; Piecewise linear

Online: 30 January 2024 (14:16:10 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.2124.v1

Towards An Info-Geometric Theory Of The Analysis Of Non-Time Dependent Queueing Systems

Ismail A. Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Maximum entropy (ME); IG; SM; QM; RCT; Einstein Tensor; Stress Energy Tensor; Riemannian metric (RM); probability density function (PDF); Fisher Information matrix (FIM); Inverse Fisher Information matrix (IFIM); threshold theorem; Kullback’ s divergence (KD); J-divergence (JD); Ré; nyi Divergence(RD); sAB Divergence; QT-IG unifiers; Queueing Theoretic Fisher Information Unifiers(QIGU); information matrix exponential (IME); Stability of a matrix

Online: 30 January 2024 (12:52:34 CET)

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Information geometry (IG) seeks to characterize the structure of statistical geodesic models from a differential geometric point of view. By considering families of probability distributions as manifolds with coordinate charts determined by the parameters of each individual model, the tools of differential geometry, such as divergences and metric tensors, provide effective means of studying their characteristics. The research undertaken in this paper presents a novel approach to the modelling study of information geometrics of a queueing system. In this context, the manifold of a stable M/G/1queue is characterised from the viewpoint of IG. The Fisher Information matrix (FIM) as well as the inverse of (FIM), (IFIM) of stable M/G/1 queue manifold are devised. In addition to that, new results that uncovered the significant impact of stability of M/G/1 queue manifold on the existence of (IFIM) are obtained. The Kullback’s divergence (KD), and J-divergence (JD).New result has been devised on the significant impact of both server utilization and squared coefficient of variation of the underlying M/G/1 queue manifold on both (KD) and (KD) are devised. Also, it is revealed that stable M/G/1 QM is developable (i.e., has a zero Gaussian curvature) and has a non-zero Ricci Curvature Tensor (RCT). Novel stability dynamics of M/G/1 queue manifold is revealed by discovering the mutual dual impact between the behaviour of (RCT) and the stability and the instability phases of the underlying M/G/1 queue manifold. Furthermore, a new discovery that presents the significant impact of stability of M/G/1 queue manifold and the continuity of the unique representation between M/G/1 queue manifold and Ricci Curvature Tensor (RCT). The information matrix exponential (IME) is devised. It is also shown that the obtained (IME) is unstable. Also, it is shown that stability of the devised (IME) enforces the instability of M/G/1 queue manifold. Unifying IG with Queueing Theory enables the study of dynamics of queueing system from a novel Riemannian Geometric (RG) point of view, leading to the analysis of the stable M/G/1 queue, based on the Theory of Relativity (TR).Extending the study over two new additional divergence measures, namely and together with a complete illustrative numerical results for all these measures including KD, JD. This links Queueing theory, IG with deep machine learning and metric learning. Furthermore, this reveals the revolutionary approach of queue learning. Full analytic study of Gaussian curvatures subject to both Angular and Monge techniques together with the overall stability dynamics impact on these curvatures. Full analytic study of Einestein Tensor and Stress Energy Tensor together with the overall stability dynamics impact on these curvatures. The inclusion of the definitions of Gaussian and Ricci, Ricci scalar curvatures and Einstein Tensor together with their physical interpretations; The proposed novel approach for the pioneer visualization of queueing systems via computational information geometry. The determination of new important links between classical queueing theory and other mathematical disciplines, such as IG, matrix theory Riemannian geometry and the THEORY OF RELATIVITY by providing for first time i) The full detailed derivations of the Gaussian curvature ii) The Ricci curvature tensor and iii) The full physical as well as the geometric interpretation of these new results. The provision of a novel link between Ricci Curvature (RCT) and the stability analysis of the stable M/G/1 QM. The full investigation of the newly introduced QT-IG unifiers together with the impact of stability/ instability of the underlying M/G/1 QM on them. The full investigation of the newly introduced (QIGU) unifiers together with the impact of stability/ instability of the underlying M/G/1 QM on them.

Preprint ARTICLE | doi:10.20944/preprints202401.2052.v1

The Info-Geometric Analysis of Wind Speed Dynamics and How Energy Is Influentially Impacted by Information Geometry (IG)

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Wind Speed Manifold (WSM), IG,GeodesicEquations (GEs)

Online: 30 January 2024 (08:40:24 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.2008.v1

Info-Geometric Analysis of the Dynamics of Parthasarathian Transient Solution of M/M/1 Queue Manifold with Info-Geometric Applications to Machine Learning

Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Transient M/M/1; Information Geometry (IG); statistical manifold (SM); queue manifold (QM); Information Geodesic equations of motion (IEMs); Fisher Information matrix (FIM); Inverse Fisher Information matrix (IFIM); Machine Learning (ML)

Online: 29 January 2024 (09:28:49 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1897.v1

Fixed-Time Aperiodic Intermittent Control for Quasi-bipartite Synchronization of Competitive Neural Networks

Shimiao Tang, Jiarong Li, Haijun Jiang, Jinling Wang

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Competitive neural network; Quasi-bipartite synchronization; Fixed-time intermittent control; External disturbance

Online: 26 January 2024 (09:01:04 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v53

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 26 January 2024 (02:03:43 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.1827.v1

A Theory of Everything: When Information Geometry Meets the Generalized Brownian Motion and the Einsteinian Relativity

Dr Ismail A Mageed

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Generalized Brownian Motion (GBM), probability density function (PDF),matrix exponential of A (geodesic equations (GEs).

Online: 25 January 2024 (14:10:23 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v52

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 23 January 2024 (10:56:14 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v51

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 22 January 2024 (14:26:31 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v50

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 17 January 2024 (06:53:32 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0938.v1

Using Transient Fourier Analysis at Some EE Applications in a Slightly Different Way

Branislav Dobrucký, Jozef Šedo, Mariana Beňová, Roman Koňarik, Michal Praženica

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Fourier transform, Laplace-Carson transform, transient phenomena, state-space variables, electrical circuits, power electronic system.

Online: 11 January 2024 (14:17:17 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v49

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 10 January 2024 (11:10:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v48

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 8 January 2024 (13:56:20 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0586.v1

Spatio-Temporal Dual Kriging with Adaptive Coefficient Drift Function

Chalida Kongsanun, Nawinda Chutsagulprom, Sompop Moonchai

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: geostatistics; spatio-temporal interpolation; spatio-temporal dual kriging; spatio-temporal kriging with external drift; spatio-temporal regression kriging; drift function; adaptive coefficient

Online: 8 January 2024 (13:44:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0377.v1

Experimental Response of a Dynamic System With Fractional Damping

Erick Márquez Quintos, Miguel Pedro Romo, Armando Rafael Hermosillo, Fernando Brambila, Roberto Magaña

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: fractional differential equations; fractional damping; dynamic behaviour

Online: 4 January 2024 (09:34:38 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0273.v1

Estimating Parameters of the Exponentially-Modified Logistic Distribution by the Maximum likelihood: Grey Wolf Optimization

Pelin Kasap, Adi Omaia Faouri

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: maximum likelihood; exponentially‐modified logistic distribution; Grey Wolf optimization; swarm intelligence; Monte Carlo simulation

Online: 3 January 2024 (16:02:10 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0171.v1

Existence and Properties of Solution of Nonlinear Differential Equations with Impulses at Variable Times

Huifu Xia, Yunfei Peng, Peng Zhang

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Differential equation; Impulses at variable times; Existence; Qualitative theory; Pulse phenomena

Online: 3 January 2024 (10:04:47 CET)

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Preprint ARTICLE | doi:10.20944/preprints202401.0149.v1

A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam

José Javier Padilla, Francisco I. Chicharro, Alicia Cordero, Alejandro M. Hernández-Díaz, Juan R. Torregrosa

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Nonlinear systems; iterative methods; reinforced concrete; shear behaviour; stability; convergence order; efficiency

Online: 3 January 2024 (07:46:49 CET)

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Preprint ARTICLE | doi:10.20944/preprints202311.1327.v2

Reachable Set Estimation and Controller Design for Linear Time-Delayed Control System with Disturbances

Yongchun Jiang, Hongli Yang, Ivan G. Ivanov

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: time-delay; ellipsoid; Lyapunov-Krasovskii functional; reachable set; linear matrix inequalities

Online: 29 December 2023 (14:39:24 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v47

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 29 December 2023 (12:05:37 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2236.v1

A Two-Stage Attention Based Hierarchical Transformer for Remaining Useful Life Prediction

Zhengyang Fan, Wanru Li, Kuo-Chu Chang

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: two-stage attention; multiscale transformer; remaining useful life prediction; turbofan aircraft engine

Online: 29 December 2023 (03:18:35 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2164.v1

The Duality Principle for Multidimensional Optional Semimartingales

Mahdieh Aminian Shahrokhabadi, Alexander Melnikov, Andrey Pak

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Optional Semimartingales; Derivative pricing; Duality relations

Online: 28 December 2023 (09:58:07 CET)

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Preprint COMMUNICATION | doi:10.20944/preprints202312.2137.v1

On the Optimal Point of the Weighted Simpson Index

José Pinto Casquilho, Helena Mena-Matos

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Weighted Simpson index; Lagrange multiplier method; Critical point; Minimum value; Harmonic mean; Inversion problem

Online: 28 December 2023 (03:48:05 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2037.v1

A Nonlinear Population Model

Dragos-Patru Covei, Traian A. Pirvu, Catalin Sterbeti

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Population dynamics; Equilibrium density function

Online: 27 December 2023 (10:09:11 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.2055.v1

Existence of a Hölder Continuous extension on embedded balls of the 3-Torus for the Periodic Navier Stokes Equations

Terry Eleftherios Moschandreou

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Navier-Stokes; PNS; 3-Torus; periodic; ball; sphere; Hölder; continuous; uniqueness; Riemann Surface

Online: 27 December 2023 (05:23:24 CET)

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\abstract{The existence of vorticies is well known in fluid mechanics and particularly in turbulence theory. In the context of the millennium problem of the Clay Institute on the existence (or not) of Global solutions in time of the Periodic Navier Stokes equations (PNS) results are now proposed to confirm that Global solutions do not exist in the general case of PNS defined on $\mathbb{T}^3$. This corresponds to part ($D$) proposition in the Navier Stokes problem as posted by C.Fefferman. Recent work has shown that for the Euler equations defined on the 3-Torus there exists a H\"older continuous solution for the third component of velocity $v_3$ at the center of each cell or cube of the 3-Torus Lattice. It has also been determined that as the kinematic viscosity changes from the corresponding value at $\nu=0$ to the fully viscous case for the Periodic Navier Stokes equations (PNS) at the value $\nu=1$ the solution reaches a peak ($\frac{\partial v_3}{\partial y_3} = 0$ ) in $y_3$. (third component of $\vec{r}=(y_1,y_2,y_3)$ in Cartesian co-ordinates) Here in the viscous case there exists a dipole which is not centered at the center of the cell of the Lattice. This immediately implies that since the dipole by definition has an equal in magnitude positive and negative peak in the third component of velocity, then the dipole Riemann cut-off surface is covered by a closed surface which is the sphere $\|\vec{r}\|=1$ and where a given cell of dimensions $[-1,1]^3$ is circumscribed on a sphere of radius $1$. For such a closed surface containing a dipole it necessarily follows that the flux at the surface of the sphere of $v_3$ wrt to surface normal $\vec{n}$ is zero including at $y_i, i=1\dots 3$ is zero at the points where the surface of sphere touches the cube walls. At the finite time singularity on the sphere a rotation boundary condition is deduced. Here $\frac{\partial v_3}{\partial \vec{n}}= \vec{n}\cdot \nabla v_3$. Also a boundary condition on the sphere shows rotation of sphere. Finally as a result, on the sphere a solution for $v_3$ is obtained which is proven to be H\"older continuous and it is proven that it is possible to extend H\"older continuity on the sphere uniquely to all of the interior of the ball.}

Preprint ARTICLE | doi:10.20944/preprints202302.0051.v46

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 26 December 2023 (06:25:50 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1917.v1

The Fourier-Legendre Series of Bessel Functions of the First Kind

Jack C. Straton

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: bessel functions; fourier-legendre series; laplace series; generalized hypergeometric functions; polynomial approximations; computational methods

Online: 26 December 2023 (04:20:42 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1866.v1

Finite Representations of theWright Function

Dimiter Prodanov

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Wright function; hypergeometric function; Bessel function; Error function; Airy function; Gaussian function

Online: 25 December 2023 (12:24:04 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1810.v1

On the Analytical Solution of the Sirv-Model for the Temporal Evolution of Epidemics for General Time-Dependent Recovery, Infection and Vaccination Rates

Martin Kröger, Reinhard Schlickeiser

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: epidemological model; nonlinear coupled differential equation; infinite sums; analytical solution; Covid-19; SIRV model; virus

Online: 25 December 2023 (10:31:41 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1760.v1

Spotting Suspicious Academic Citations Using Self-Learning Graph Transformers

Renata Avros, Mor Ben Haim, Almog Madar, Elena Ravve, Zeev Volkovich

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: graph masked autoencoders; manipulated citations, network perturbation

Online: 22 December 2023 (14:33:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v45

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 19 December 2023 (10:52:21 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v44

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 18 December 2023 (13:02:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1175.v1

Fractional Order Mathematical Modelling of HFMD Transmission via Caputo Derivative

Aakash Mohandoss, Gunasundari Chandrasekar, Mutum Zico Meetei, Ahmed H. Msmali

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: mathematical model; fractional dynamical system; stability; fractional euler’s method

Online: 15 December 2023 (11:08:01 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v43

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 14 December 2023 (16:29:43 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1079.v1

Calculation of Sommerfeld Integrals in Dipole Radiation Problems

Merey Sautbekova, Seil Sautbekov, Kuralay Baisalova, Mustahim Pshikov

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Maxwell’ s equations; convolution; Green’ s function; electromagnetic wave scattering; Hertz dipole; Sommerfeld integrals

Online: 14 December 2023 (10:23:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.1072.v1

Entropy of Difference

Pasquale Nardone, Giorgio Sonnino

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: entropy; complexity measure; random signal

Online: 14 December 2023 (08:55:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202210.0207.v26

On Duality Principles and Related Convex Dual Formulations Suitable for Local and Global Non-Convex Variational Optimization

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: convex dual variational formulations; duality principles for non-convex local and global primal optimization; Ginzburg-Landau type equation

Online: 13 December 2023 (13:17:57 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v42

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 13 December 2023 (05:06:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0872.v1

Design, Convergence and Stability Analysis of a New Parametric Class of Fourth-Order Optimal Iterative Schemes for Solving Nonlinear Equations

Alicia Cordero, José A. Reyes, Juan R. Torregrosa, María P. Vassileva

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Iterative methods; convergence order; periodic orbits; stability; analytical conjugation; parameter plane; dynamical plane.

Online: 12 December 2023 (13:18:32 CET)

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Preprint ARTICLE | doi:10.20944/preprints202210.0207.v25

On Duality Principles and Related Convex Dual Formulations Suitable for Local and Global Non-Convex Variational Optimization

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: convex dual variational formulations; duality principles for non-convex local and global primal optimization; Ginzburg-Landau type equation

Online: 12 December 2023 (10:15:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0680.v1

Impact of Crustacean Morphology on Metachronal Propulsion: A Numerical Study

Enbao Cao, Zbigniew J. Kabala

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: metachronal; crustacean; fluid mechanics; bio-inspired propulsion; immersed boundary method; morphology

Online: 11 December 2023 (09:31:21 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0657.v1

Inhomogeneous Boundary Value Problems for Generalized Boussinesq Model of Mass Transfer

Gennadii Alekseev, Olga Soboleva

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: generalized Boussinesq model of mass transfer; binary fluid; inhomogeneous boundary conditions; global solvability; maximum principle; local uniqueness

Online: 11 December 2023 (06:21:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202312.0544.v1

A Convergence Criterion for a Class of Stationary Inclusions in Hilbert Spaces

Mircea Sofonea, Domingo A. Tarzia

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: stationary inclusion; projection operator; convergence criterion; convergence results; penalty method, frictional contact problem; elastic constitutive law

Online: 8 December 2023 (08:02:46 CET)

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Preprint REVIEW | doi:10.20944/preprints202312.0260.v1

Topological Data Analysis in Cardiovascular Signals: An Overview

Enrique Hernández-Lemus, Pedro Miramontes, Mireya Martinez-Garcia

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: topological data analysis; cardiovascular signals; alegbraic topology; persistent homology; mapper algorithm

Online: 5 December 2023 (11:00:09 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0051.v41

Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations

Fabio Botelho

Subject: Computer Science And Mathematics, Applied Mathematics Keywords: duality theory; non-convex analysis; numerical method for a non-smooth model

Online: 5 December 2023 (04:38:06 CET)

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Computer Science and Mathematics