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Preprint ARTICLE | doi:10.20944/preprints202305.0936.v2

Ed Gerck

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: quantum computing; communication; tri-state+; algebraic; quantum; classical; coherence; law of the excluded middle; laser; wave-particle duality

Online: 29 May 2023 (10:59:14 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.1973.v1

A Time Two-mesh Finite Difference Numerical Scheme for the Symmetric Regularized Long Wave Equation

Jingying Gao, Siriguleng He, Qingmei Bai, Jie Liu

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: SRLW equation; finite difference; time two-mesh; convergence analysis; conservation law

Online: 29 May 2023 (05:07:49 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.1775.v1

Power Measurement Using Adaptive Chirp Mode Decomposition for Electrical Vehicles Charging Load

Haili Ding, Rui Tian, Jinfei Wang, Xiaomei Yang

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Electric vehicles; Power calculation; Harmonics; Non-stationary; Adaptive chirp mode decomposition.

Online: 25 May 2023 (08:47:37 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.1310.v1

Block-Centered Finite Difference Methods for Fourth-Order Parabolic Equations

Taixiu Zhang, Zhe Yin, Ailing Zhu

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: fourth-order parabolic equation; block-centered finite difference methods; stability; error estimates; numerical analysis

Online: 18 May 2023 (09:27:39 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.1001.v1

Generalized Legendre Wavelets, Definition, Properties and Their Applications for Solving Linear Differential Equations

Naglaa M. El-Shazly, Mohamed A. Ramadan, Taha Radwan

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Generalized Legendre wavelet; operational matrix of integration; linear differential equations; product operation matrix; convergence analysis; accuracy

Online: 15 May 2023 (08:05:45 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.0936.v1

Quantum Computing Arrives

Ed Gerck

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: quantum computing; communication; tri-state+; algebraic; quantum; classical; coherence; law of the excluded middle; laser; wave-particle duality

Online: 12 May 2023 (11:12:10 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.0778.v1

Credit Reports Classification Based on Semi-Supervised Learning Methods

Ruiqi Feng, Lu Han, Muzi Chen

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Ant colony clustering algorithm; Random Forest; Fuzzy number; Classification

Online: 11 May 2023 (03:57:06 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.0623.v1

Estimation of Expectations and Variance Components in Two-Level Nested Simulation Experiments

David Fernando Muñoz

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Bayesian forecasting; stochastic simulation; parameter uncertainty; two-level simulation

Online: 9 May 2023 (09:24:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202305.0059.v1

Computational Analysis of Stability of Wave Propagation Against Submerged Permeable Breakwater Using Hybrid Finite Element Method

Tulus Tulus, Md Mustafizur Rahman, Sutarman Sutarman, Muhammad Romi Syahputra, Tulus Joseph Marpaung, Jonathan Liviera Marpaung

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Breakwater; Simulation; Fluids Dynamics; H-FEM; PDE

Online: 2 May 2023 (05:14:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202304.0845.v1

Topological Properties and Entropy Calculations of Aluminophosphates

Sahaya Vijay J., Roy S., Charles Beromeo Bheeter, Mohamad Nazri Husin, Tony Augustine, Gobithaasan R.U., Easu Raja M.

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Aluminophosphates; vertex based molecular descriptors; cut method; Shannon's method; correlation coefficient.

Online: 24 April 2023 (09:48:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202304.0242.v3

A Simulation Based Solution Approach for the Capacitated Lot-Sizing Problem With Remanufacturing

Luis Rocha

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: capacitated lot-sizing problem, heuristic, simulation based optimization, remanufacturing

Online: 21 April 2023 (09:46:54 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202304.0271.v1

Numerical Simulation for Transient Diffusion Convection Reaction Problems of a Class of Anisotropic FGMs

Mohammad Ivan Azis

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: transient; diffusion convection reaction; anisotropic; functionally graded materials; simulation

Online: 12 April 2023 (11:47:19 CEST)

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Preprint SHORT NOTE | doi:10.20944/preprints202304.0206.v1

On the Group of Universal Gates for a Two-Qubit Quantum System

Bakytzhan Oralbekov, Aset Durmagambetov, Maksut Abenov, Batyrzhan Daulet

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Quantum computing; Abelian group; quantum gates

Online: 11 April 2023 (07:13:21 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0414.v2

Improving the Accuracy of the Deep Energy Method

Charul Chadha, Junyan He, Diab Abueidda, Seid Koric, Erman Guleryuz, Iwona Jasiuk

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Elasticity; Machine learning; Minimum potential energy; Partial differential equations (PDEs); Physics-informed neural network

Online: 3 April 2023 (03:29:13 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202303.0297.v2

Apex Method: A New Scalable Iterative Method for Linear Programming

Leonid B. Sokolinsky, Irina M. Sokolinskaya

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: linear programming; apex method; iterative method; projection-type method; Fejér mapping; parallel algorithm; cluster computing system; scalability evaluation; Netlib-LP repository

Online: 24 March 2023 (03:48:13 CET)

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Preprint ARTICLE | doi:10.20944/preprints202303.0297.v1

Apex Method: A New Scalable Iterative Method for Linear Programming

Leonid B. Sokolinsky, Irina M. Sokolinskaya

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: linear programming; apex method; iterative method; projection-type method; Fejér mapping; parallel algorithm; cluster computing system; scalability evaluation; Netlib-LP repository

Online: 16 March 2023 (03:26:48 CET)

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Preprint ARTICLE | doi:10.20944/preprints202303.0001.v3

A Two-Step Rule for Backpropagation

Ahmed Boughammoura

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Artificial neural networks; back-propagation

Online: 9 March 2023 (02:04:21 CET)

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Preprint ARTICLE | doi:10.20944/preprints202303.0117.v1

Fluid-Structure Interaction: Numerical Analysis of Biomagnetic Flow Inhibition on a Plaque in a Stenosed Bifurcation Artery

MUDASSAR RAZZAQ

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Bifurcation; Elastic walls; Finite element method; Stenosis; Wall shear stress; Mag-netic field

Online: 7 March 2023 (02:03:46 CET)

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Preprint ARTICLE | doi:10.20944/preprints202303.0001.v2

A Two-Step Rule for Backpropagation

Ahmed Boughammoura

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Artificial neural networks; back-propagation

Online: 3 March 2023 (01:24:54 CET)

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Preprint ARTICLE | doi:10.20944/preprints202303.0001.v1

A Two-Step Rule for Backpropagation

Ahmed Boughammoura

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: artificial neural networks; back-propagation

Online: 1 March 2023 (01:57:59 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0222.v2

Gauss Quadrature for Integrals and Sums

Abdulaziz D. Alhaidari

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Gauss quadrature; integral approximation; continuous measure; discrete measure; mixed measure; orthogonal polynomials; recursion relation

Online: 17 February 2023 (15:11:43 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0222.v1

Gauss Quadrature for Integrals and Sums

Abdulaziz D. Alhaidari

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Gauss quadrature; integral approximation; continuous measure; discrete measure; mixed measure; orthogonal polynomials; recursion relation

Online: 13 February 2023 (15:08:17 CET)

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Preprint ARTICLE | doi:10.20944/preprints202302.0184.v1

Accelerating the Wheel Factoring Techniques

Alaa Zaki, M. Bakr, Arwa Alsahangiti, Saima Khosa, Khaled Fathy

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Integer factorization; Wheel factorization; Cryptography

Online: 10 February 2023 (07:43:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints202301.0069.v1

Stability and Resolution Analysis of the Wavelet Collocation Upwind Schemes for Hyperbolic Conservation Laws

Bing Yang, Jizeng Wang, Xiaojing Liu, Youhe Zhou

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Stability; Resolution; Wavelet upwind scheme; Hyperbolic conservation laws

Online: 4 January 2023 (06:21:25 CET)

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Preprint ARTICLE | doi:10.20944/preprints202212.0082.v1

Classification of Leaf Disease via Deep Neural Network combined with Clustering Algorithm

Emma Mamdouh Qumsiyeh, Muath Naji Sabha

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: K-means clustering algorithm; Elbow method; Silhouette technique; Kneedle Algorithm; Image Segmentation; Conventional Neural Network.

Online: 6 December 2022 (01:30:03 CET)

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Preprint ARTICLE | doi:10.20944/preprints202210.0413.v1

Implementation of the Hindmarsh–Rose Model Using Stochastic Computing

Oscar Camps, Stavros Stavrinides, Carol De Benito, Rodrigo Picos

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: stochastic logic; chaotic systems; approximate computing; Hindmarsh Rose system

Online: 26 October 2022 (10:33:54 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202210.0071.v1

Multiphysics Topology Optimization Using Automatic Differentiation and Adjoint Method

Junyan He, Diab Abueidda

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: FEniCS; JAX; Sensitivity analysis; Topology optimization

Online: 7 October 2022 (07:32:06 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0485.v1

QKD Reconciliation System Using Conjugate Frames in the Presence of Near-Unity Error Rates

Luis Adrián Lizama-Perez, Jesús Ignacio Morán-Ramírez, José Mauricio López-Romero

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: QKD; distillation; reconciliation; conjugate frame

Online: 30 September 2022 (11:03:56 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0484.v1

Approximate Closed-form Solutions for the Rabinovich System via the Optimal Auxiliary Functions Method

Remus-Daniel Ene, Nicolina Pop, Marioara Lapadat

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: optimal auxiliary functions method; Rabinovich system; symmetries; Hamilton--Poisson realization; periodical orbits

Online: 30 September 2022 (10:59:49 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0474.v1

Approximate Closed-form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method

Remus-Daniel Ene, Nicolina Pop, Marioara Lapadat, Luisa Dungan

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: optimal homotopy asymptotic method; Maxwell--Bloch equations; symmetries; Hamilton--Poisson realization; periodical orbits

Online: 30 September 2022 (03:52:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0415.v1

Inherent Twitter-like Structure of Classical Religious Sources

Zeew Volkovich, Raz Malka, Renata Avros, Shoham Yamin

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Stylometry; Signal Processing; Word Embedding; Deep Neural Networks

Online: 27 September 2022 (07:55:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0294.v1

Machine Learning for Financial Investment Indication

Ariel Vieira de Oliveira, Marcia Cristina Schiavi Dazzi, Anita Maria da Rocha Fernandes, Rudimar Luis Scaranto Dazzi, Paulo Ferreira, Valderi Reis Quietinho Leithardt

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Financial Investment; Machine Learning; Artificial Intelligence.

Online: 20 September 2022 (05:45:26 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0150.v1

A Short Review on Fast Ways to Multiply Two Matrices

Ishan Banerjee

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Matrix multiplication; Complexity; Matrix multiplication constant; Algorithm; Tensors; Tensor product; Tensor power

Online: 12 September 2022 (12:59:25 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202209.0090.v1

Global Dynamics of SARS-CoV-2 Infection with Antibody Response and the Impact of Impulsive Drug Therapy

Amar Nath Chatterjee, Dibyendu Biswas, Fahad Al Basir

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: epithelial cell; antibody response; basic reproduction number; transcritical bifurcation; impulsive control; drug holidays

Online: 6 September 2022 (10:25:07 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202208.0526.v1

Automorphisms and Definability for Upward Complete Structures

Alexei L. Semenov, Sergei F. Soprunov

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: definability; definability lattice; automorphism group; reduct; Svenonius theorem

Online: 30 August 2022 (14:39:19 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202207.0388.v1

An Innovative Method for Approximating Arcsine Function

Slim Ben Othman, Yogesh J. Bagul

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: arcsine function; approximation; interpolation; Shafer-Fink inequality; padé approximants

Online: 26 July 2022 (05:57:53 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202207.0041.v1

Estimating the Basic Reproduction Number for the Second Wave of COVID–19 Pandemic in Nigeria

Ashiribo Wusu, Olusola Olabanjo, Manuel Mazzara

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: coronavirus; COVID-19; pandemic; compartmental model; Nigeria

Online: 4 July 2022 (08:42:03 CEST)

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It is no news that the COVID–19 pandemic has affected many persons in different ways. As the number of reported cases rises across the globe, efforts are geared towards production and administration of effective vaccines for the disease. However, many developing countries are faced with the dilemma of how to slow the spread and flatten the curves of the disease as the available vaccines are not enough. Interestingly, the dynamics of the disease can be analysed to get useful insights to enhance the making of suitable preventive policies that will slow the spread, ultimately flatten the curves of the disease and also help in managing any future occurrence. In this work, the aim is to analyse the dynamics, and estimate the basic reproduction number of the second wave of the pandemic in Nigeria using a Susceptible-Infected-Recovered-Deceased (SIRD) compartmental–based model. The dynamics of the disease is described by a system of nonlinear ordinary differential equations. The model takes into consideration the current control policies in place - social distancing, mask usage, personal hygiene and quarantine. Available data provided by Nigeria Centre for Disease Control (NCDC), World Health Organization (WHO) and Wolfram Data Repository were used for the computations. The Quasi–Newton algorithm was implemented in fitting the proposed model to the available data and a sensitivity analysis was presented. Major parameters - effective contact rate, average recovery time, average mortality rate, and overall effectiveness of the control policies - influencing the dynamics of the disease, and the basic reproduction numbers were estimated. The turning points of the disease during the second wave were also obtained. The proposed model gave estimated values for the parameters influencing the spread of the disease. Also, the measure of the overall effectiveness of the current control policies gave insight into how effective the measures are.

Preprint ARTICLE | doi:10.20944/preprints202207.0034.v1

Multi-fidelity Model Calibration in Structural Dynamics using Stochastic Variational Inference on Manifolds

Panagiotis Tsilifis, Piyush Pandita, Sayan Ghosh, Liping Wang

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Gaussian Processes; Stochastic Variational Inference; Manifold Gradient Ascent; Multi-fidelity modeling; Structural Dynamics; Vibration Torsion

Online: 4 July 2022 (06:02:50 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0414.v1

Optimizing Hyperparameters and Architecture of Deep Energy Method

Charul Chadha, Diab Abueidda, Seid Koric, Erman Guleryuz, Iwona Jasiuk

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Elasticity; Machine learning; Minimum potential energy; Partial differential equations (PDEs); Physics-informed neural network

Online: 30 June 2022 (04:25:56 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0387.v1

Exponentially–Fitted Fourth–Derivative Single–Step Obrechkoff Method for Oscillatory/Periodic Problems

Ashiribo Senapon Wusu, Olusola Olabanjo

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Exponentially–fitted; Obrechkoff; Fourth–derivative; Oscillatory; Periodic; Single–step

Online: 28 June 2022 (12:50:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0227.v1

Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems

Călin-Ioan Gheorghiu

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Chebfun; differential equation; non-linearity; singularity; convergence; Bernstein growth; improper integrals; boundary layer

Online: 16 June 2022 (02:53:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0213.v1

Force Estimation during Cell Migration Using Mathematical Modelling

Feng Wei Yang, Chandrasekar Venkataraman, Sai Gu, Vanessa Styles, Anotida Madzvamuse

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: cell migration; optimal control; geometric partial differential equations; mechanical membrane forces; cell polarisation

Online: 15 June 2022 (05:54:15 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0086.v1

Leveraging Geographically Distributed Data for Influenza and SARS-CoV-2 Non-Parametric Forecasting

Pablo Boullosa, Adrián Garea, Iván Carlos Area-Carracedo, Juan Nieto, Jorge Mira

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: non-parametric modeling; flu; influenza; COVID-19; SARS-CoV-2; Empirical Dynamic Modeling; forecasting

Online: 6 June 2022 (10:24:45 CEST)

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Preprint COMMUNICATION | doi:10.20944/preprints202206.0084.v1

Factorial of Sum of Two Nonnegative Integers Is Equal to Multiple of the Product of Factorial of the Two Nonnegative Integers

Chinnaraji Annamalai

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: algorithm; combinatorics; factorial function; computation

Online: 6 June 2022 (10:12:44 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202206.0041.v1

Analytical Solutions to Unsteady Unidirectional Flows of a Generalized Oldroyd-B Fuid

Fang Wang, Yu Wang

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Fractional calculus; Generalized Oldroyd-B fluid; separation of variables method; Unidirectional flow; Caputo fractional derivative

Online: 3 June 2022 (09:58:29 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202205.0122.v1

Series with Binomial-Like Coefficients for the Investigation of Fractal Structures Associated with the Riemann Zeta Function

Igoris Belovas, Martynas Sabaliauskas, Lukas Kuzma

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Riemann zeta function; fractal structures; numerical algorithms

Online: 10 May 2022 (03:01:23 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202204.0220.v1

Recommendations of Scrna-Seq Differential Gene Expression Analysis Based on Comprehensive Benchmarking

Jake Gagnon, Lira Pi, Matthew Ryals, Qingwen Wan, Wenxing Hu, Zhengyu Ouyang, Baohong Zhang, Kejie Li

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: scRNA-seq; single cell; RNA-seq; DEG; differential expression; DE; benchmarking; scRNA-seq simulator

Online: 25 April 2022 (06:18:45 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202204.0068.v1

Functional Data Analysis for Imaging Mean Function Estimation: Computing Times and Parameter Selection

Juan Arias López, Carmen Cadarso Suárez, Pablo Aguiar Fernández

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Functional Data Analysis; Image Processing; Brain Imaging; Neuroimaging; Computational Neuroscience; Data Science

Online: 8 April 2022 (03:21:06 CEST)

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Preprint REVIEW | doi:10.20944/preprints202204.0047.v1

A Survey Paper for Parsing of English Sentences Using Context-Free Grammar

Harsh Dhabekar, Chetanya Rathi, Harshit Mundhra, Pushkar Helge, Kartik Rajput

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Artificial Intelligence; Bottom-up Parser; Context-Free-Grammar; English Grammar; Python; Parse Table; Semantic Parser; Top-downParser

Online: 6 April 2022 (12:42:37 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202204.0045.v1

A Predictor-Corrector Algorithm for IVPs in Frame of Generalized Fractional Operator With Mittag-Leffler Kernels

Ibrahim Slimane, Zaid Odibat, Dumitru Baleanu

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Fractional differential equation; singular generalized fractional derivative; Mittag-Leffler kernel; predictor-corrector algorithm; numerical solution

Online: 6 April 2022 (11:38:48 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202103.0716.v2

Non-Commutative Key Exchange Protocol

Luis Adrián Lizama-Pérez, José Mauricio López Romero

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Non-commutative; matrix; cryptography

Online: 23 March 2022 (11:08:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202203.0178.v1

Digital Triage Tool Using Artificial Intelligence and Patient History for Detecting Selected Neurological Diseases and Sensing the Bottleneck between Symptoms, Diagnosis, and Therapy

Lorenz Grigull, Werner Lechner, Frank Klawonn

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: artificial intelligence; data mining; diagnostic decision support; rare diseases; questionnaire anamnesis; neuromuscular diseases; high latencies

Online: 14 March 2022 (08:58:29 CET)

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Preprint CONCEPT PAPER | doi:10.20944/preprints202203.0129.v2

A Generic Scalable DFT Calculation Method for Vectors and Matrices Using Matrix Multiplications

Abdullah Aman Khan

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Discrete Fourier Transform; Fourier Transform; Twiddle factor

Online: 11 March 2022 (11:03:46 CET)

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Preprint CONCEPT PAPER | doi:10.20944/preprints202203.0129.v1

A Generic Scalable DFT Calculation Method for Vectors and Matrices Using Matrix Multiplications

Abdullah Aman Khan

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Discrete Fourier Transform; Fourier Transform; Twiddle factor

Online: 9 March 2022 (09:48:06 CET)

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Preprint TECHNICAL NOTE | doi:10.20944/preprints202203.0036.v1

Vedic Mathematics Approach to Speedup Parallel Computations

Urmila Shrawankar, Chaitreya Shrawankar

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Vedic mathematics; parallel computation; parallelism; Multicore Systems; pipelining; 1D and 2D partitioning; linear equations solving; Paravartya Yojayet method; Sunyam Anyat method; Sankalana Vyavakalanabhyam method; Sopantyadvayamantyam method

Online: 2 March 2022 (07:37:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0176.v2

Numerical Solutions of the Hattendorff Differential Equation for Multi-state Markov Insurance Models

Nathan Ritchey, Rajeev Rajaram

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Policy Value; Kolmogorov forward equations; Multi-state model; Thiele's differential equation; Hattendorff differential equation

Online: 29 December 2021 (09:00:20 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0316.v1

GPS: Improvement in the Formulation of the TSP for Its Generalizations Type QUBO

Saúl Gonzalez-Bermejo, Guillermo Alonso-Linaje, Parfait Atchade-Adelomou

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: n/a; Quantum Computing; Quantum Annealing; Optimización combinatoria; QUBO; TSP; VRP

Online: 21 December 2021 (08:49:24 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0303.v1

D3 Dihedral Logistic Map of Fractional Order

Marius-F. Danca, Nikolay Kuznetsov

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Discrete fractional-order system; Caputo delta fractional difference; Hidden attractor; Dihedral symmetry D3

Online: 20 December 2021 (10:20:56 CET)

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Preprint ARTICLE | doi:10.20944/preprints202112.0151.v1

Some Properties of the Basins of Attraction of the Newton’s Method for Simple Nonlinear Geodetic Systems

Krzysztof Kroszczynski, Damian Kiliszek, Ireneusz Winnicki

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: basin of attraction; convergence of the Newton’s iterative method; planar intersection/resection.

Online: 9 December 2021 (10:55:53 CET)

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Preprint ARTICLE | doi:10.20944/preprints202111.0555.v1

Determining COVID-19 Dynamics Using Physics Informed Neural Networks

Joseph Malinzi, Simanga Gwebu, Sandile Motsa

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Physics Informed Neural Networks; Mathematical modeling; COVID-19

Online: 30 November 2021 (10:41:39 CET)

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Preprint ARTICLE | doi:10.20944/preprints202109.0400.v1

The Role of the Double Layer Potential in Regularized Stokeslet Models of Self-Propulsion

David John Smith, Meurig Thomas Gallagher, Rudi Schuech, Thomas Douglas Montenegro-Johnson

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Stokes flow; propulsion; swimming; regularized stokeslets; double-layer; squirmer; undulating swimmer

Online: 23 September 2021 (11:02:27 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202109.0208.v1

A New Edge betweenness Measure Using a Game Theoretical Approach : An Application to Hierarchical Community Detection

Daniel Gómez, Javier Castro, Inmaculada Gutiérrez García-Pardo, Rosa Espínola

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Game Theory; Graph Theory; Hierarchical Clustering networks; Community Detection problems; Divisive Algorithms

Online: 13 September 2021 (11:51:33 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202109.0157.v1

Using Non-Fourier’s Heat Flux and Non-Fick’s Mass Flux Theory in the Radiative and Chemically Reactive Flow of Powell-Eyring Fluid

Hina Firdous, Syed Tauseef Saeed, Hijaz Ahmed, Syed Muhammad Husnine

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Eyring-Powell fluid; Non-Fourier’s heat flux and non-Fick’s mass flux theory; Boundary layer flow; Radiation; Convective boundary conditions.

Online: 8 September 2021 (16:29:03 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202108.0415.v1

Intuitionistic Fuzzy Normed Prime Ideal and Some of Their Characteristics

Tekalign Regasa Ashale

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Intuitionist Fuzzy Normed Ring; Intuitionist fuzzy normed Ideal; Intuitionist Fuzzy Normed Point; Fuzzy Normed Prime Idea

Online: 20 August 2021 (12:48:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202105.0644.v1

Novel Method to Analytically Obtain the Asymptotic Stable Equilibria States of Extended SIR-type Epidemiological Models

Teddy Lazebnik, Svetlana Bunimovich-Mendrazitsky, Leonid Shaikhet

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Markov chain; random variable transformation technique; asymptotic stable equilibria state; three age group SIIRD model

Online: 26 May 2021 (14:29:42 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202105.0481.v1

Mathematical Modelling for the Transmission Dynamics of blinding Trachoma

Salisu Muhammad Muhammad, Evren Hincal

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Trachoma Model; Reproduction number; Chlamydia Trachomatis; Stability; sensitivity analysis; Model fitting.

Online: 20 May 2021 (10:57:07 CEST)

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Trachsummaroma is an eye infectious disease caused by Chlamydia Trachomatis bacterium, which may lead to irreversible blindness. The disease is spread directly or indirectly by contacting a contaminated material. It can also be transmitted through the disease vector known as “Musca sorbens” or “Bazaar fly”. To curtail the spread of the disease in a population, a meaningful information on the spread and possible control of the disease is required. Mathematical modeling provides efficient tools that can be used to understand and analyze the dynamics of the disease and its control. Several compartmental epidemic models have been proposed in the literature to study the dynamics of trachoma; including SI, SIR and SEIR. However, majority of the existing trachoma models consider only person to person transmission. Thus, the information provided by such models is insufficient since they did not capture the disease vector transmission. The current study proposed a novel SEIR-SEI model that consider both person-person and vector transmission dynamics. The threshold quantity, basic reproduction number R0 is obtained using the next generation matrix, and it was proved that the disease-free equilibrium is asymptotically stable when R0 < 1, and the endemic equilibrium is globally asymptotically stable when R0 > 1. Some simulation results with the aid of mesh plots for the reproductive number as a function of two different biological parameters were obtained. Furthermore, a comprehensive sensitivity analysis is conducted to identify the influence of the individual parameters on the R0. Numerical results show that the vector contact rate has the highest sensitivity with respect to R0, and the value of R0 increases with increase in, hence, the disease can be controlled by decreasing the vector contact rate. Similarly, improving the rate of environmental hygiene and facial cleanliness will decrease the size of R0 and result in the declination of the disease transmission. Moreover, a detailed parameter estimation of the model parameters and model fitting was presented with the use of field data cases from Northern Nigeria using least-square fitting method. The study provides alternative tools that can be used for planning trachoma control program to achieve global eradication of trachoma as a public heath challenge as targeted by WHO in 2030.

Preprint ARTICLE | doi:10.20944/preprints202105.0174.v1

Non-Commutative Key Exchange Protocol

Luis Adrián Lizama-Pérez, José Mauricio López Romero

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Non-commutative; matrix; cryptography

Online: 10 May 2021 (11:09:10 CEST)

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Working Paper ARTICLE

Hybrid Classical-Quantum Computing: Applications to Statistical Mechanics of Neocortical Interactions

Lester Ingber

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: path integral; quantum systems; neocortical interactions

Online: 22 April 2021 (14:10:21 CEST)

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Hybrid Classical-Quantum computing has already arrived at several commercial quantum computers, offered to researchers and businesses. Here, application is made to a classical-quantum model of human neocortex, Statistical Mechanics of Neocortical Interactions (SMNI), which has had its applications published in many papers since 1981. However, this project only uses Classical (super-)computers. Since 2015, a path-integral algorithm, PATHINT, used previously to accurately describe several systems in several disciplines, has been generalized from 1 dimension to N dimensions, and from classical to quantum systems, qPATHINT. Published papers have described the use of qPATHINT to neocortical interactions and financial options. The classical space described by SMNI applies nonlinear nonequilibrium multivariate statistical mechanics to synaptic neuronal interactions, while the quantum space described by qPATHINT applies synaptic contributions from Ca2+ waves generated by astrocytes at tripartite neuron-astrocyte-neuron sites. Previous SMNI publications since 2013 have calculated the astrocyte Ca2+ wave synaptic interactions from a closed-form (analytic) expression derived by the author. However, more realistic random shocks to the Ca2+ waves from ions entering and leaving these wave packets should be included using qPATHINT between electroencephalographic (EEG) measurements which decohere the quantum wave packets. This current project extends calculations to multiple scales of interaction between classical events and expectations over the Ca2+ quantum processes to include these random shocks in previous codes used to fit EEG data to the SMNI model, that included the analytic forms for the quantum processes but now replaced by qPATHINT. The author's Adaptive Simulated Annealing (ASA) importance-sampling optimization code is used for fitting the combined classical-quantum system. Gaussian Quadratures is used for numerical calculation of momenta expectations of the astrocyte processes that contribute to SMNI synaptic interactions. This project thereby demonstrates how some hybrid classical-quantum systems may be calculated quite well using only classical (super-)computers.

Preprint ARTICLE | doi:10.20944/preprints202103.0716.v1

Non-Commutative Key Exchange Protocol

Luis Adrián Lizama-Pérez, José Mauricio López Romero

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Non-commutative; matrix; cryptography

Online: 30 March 2021 (09:35:46 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202103.0325.v2

A Simple Chaotic Map Model for Fractal Traffic Generation in High-speed Computer Networks

Ginno Millán

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Chaotic maps; Fractality; Hurst exponent (H); Self-similarity; Traffic modeling in high-speed computer networks

Online: 15 March 2021 (16:32:07 CET)

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Preprint ARTICLE | doi:10.20944/preprints202103.0299.v2

A Simplified Multifractal Model for Self-Similar Traffic Flows in High-Speed Computer Networks

Ginno Millán

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Multifractals, Self-similarity, Hurst exponent (H), High-speed computer networks, Traffic models.

Online: 12 March 2021 (09:36:16 CET)

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Preprint ARTICLE | doi:10.20944/preprints202103.0275.v1

Traffic Flows Analysis in High-Speed Computer Networks Using Time Series

Ginno Millán

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Computer networks, Hurst exponent, IEEE 802.3ab standard, Time series analysis, Traffic flows analysis.

Online: 10 March 2021 (10:33:30 CET)

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Preprint ARTICLE | doi:10.20944/preprints202006.0370.v2

Defining and Computing Reproduction Numbers to Monitor the Outbreak of Covid-19 or Other Epidemics

Paulo Zingano, Janaina Zingano, Alessandra Silva, Carolina Zingano

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Covid-19 outbreak; SARS-Cov-2 coronavirus; reproduction numbers; SEIR models; parameter determination; herd immunity against Covid-19

Online: 16 February 2021 (13:18:54 CET)

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Preprint ARTICLE | doi:10.20944/preprints202012.0084.v1

New Computational Geometry Methods Applied to Solve Complex Problems of Radiative Transfer

Francisco Salguero-Andújar, Joseph Cabeza-Lainez

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: mathematics applied to lighting and radiative transfer; configuration factors; computational geometry; parametric design; new solutions for equations of geometric optics; numerical computation of quadruple integrals.

Online: 3 December 2020 (13:05:02 CET)

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Preprint ARTICLE | doi:10.20944/preprints202010.0617.v1

A New Block Structural Index Reduction Approach for Large-scale Differential Algebraic Equations

Juan Tang, Yongsheng Rao

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: differential algebraic equations; index reduction; block triangular forms

Online: 29 October 2020 (14:34:38 CET)

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Preprint ARTICLE | doi:10.20944/preprints202009.0516.v1

Novel Ensemble Approach of Deep Learning Neural Network Model and Particle Swarm Optimization (PSO) Algorithm for Prediction of Gully Erosion Susceptibility

Shahab S, Saeid Janizadeh, Subodh Chandra Pal, Asish Saha, Rabin Chakrabortty, Manouchehr Shokri, Amirhosein Mosavi

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: gully erosion susceptibility; deep learning neural network; particle swarm optimization; Shiran watershed

Online: 22 September 2020 (09:48:07 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202009.0158.v1

A Finite Element based Micromechanical Model to Simulate Fatigue Damage Development in Open-Hole Laminated Composites

mohammad ghalandari, Hossein Toozandehjani, Ibrahim Mahariq

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: progressive fatigue model; micromechanical model; finite element simulation; composite laminate

Online: 7 September 2020 (07:21:35 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202008.0272.v1

A Study on the Determinants of some Hessenberg Toeplitz Bohemians

Jishe Feng, Hongtao Fan

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Bohemian; Toeplitz matrix; Hessenberg matrix; tridiagonal matrix; pentadiagonal matrix

Online: 12 August 2020 (06:00:31 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202008.0239.v1

A Moment-Based Method of Optinalysis

Kabir Bindawa Abdullahi

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Automorphism; Identity; Isometry; Isomorphism; Similarity; Symmetry

Online: 10 August 2020 (06:29:58 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202007.0588.v1

Proof that P ≠ NP

Jamell Ivan Samuels

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Computational Complexity; Probability; Mathematics

Online: 24 July 2020 (13:53:24 CEST)

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Working Paper ARTICLE

Scalable Block Preconditioners in Computational Fluid Dynamics at High Reynolds Number

Luca Bergamaschi, Filippo Zanetti

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: preconditioners; low-rank updates; Navier-Stokes equations; GMRES method

Online: 23 July 2020 (08:19:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202007.0450.v1

JAMPI: Efficient Matrix Multiplication in Spark Using Barrier Execution Mode

Tamas Foldi, Chris von Csefalvay, Nicolas A. Perez

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Apache Spark; distributed computing; distributed matrix algebra; deep learning; matrix primitives

Online: 19 July 2020 (21:22:01 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202007.0397.v1

Dimension Reduction of Machine Learning-based Forecasting Models Employing Principal Component Analysis

Yinghui Meng, Sultan Noman Qasem, Manouchehr Shokri, S Shamshirband

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Machine learning; Dimensionality reduction; Wavelet transform; Water quality; Principal component analysis

Online: 17 July 2020 (15:47:53 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202007.0171.v1

Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations

Denys Dutykh, Elena Tobisch

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: energy cascade; modulational instability; Fourier power spectrum; Korteweg-de Vries equations

Online: 9 July 2020 (06:44:33 CEST)

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Preprint SHORT NOTE | doi:10.20944/preprints202006.0370.v1

Defining and Computing Reproduction Numbers to Monitor the Outbreak of Covid-19 or Other Epidemics

Paulo Zingano, Janaina Zingano, Alessandra Silva, Carolina Zingano

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Covid-19 outbreak; SARS-Cov-2 coronavirus; reproduction numbers; deterministic SEIR models; parameter determination; robust methods

Online: 30 June 2020 (11:40:43 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202006.0289.v1

Estimation of Time-Dependent Reproduction Number for Global COVID-19 Outbreak

Tatiana Petrova, Dmitry Soshnikov, Andrey Grunin

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: reproduction number; infectious disease epidemiology; COVID-19; epidemic modelling; mobility index

Online: 24 June 2020 (09:03:44 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202002.0379.v6

The Complexity of Mathematics

Frank Vega

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: complexity classes; regular languages; reduction; number theory; one-way; primes

Online: 4 June 2020 (13:22:40 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202005.0504.v1

Chaos and Pattern Formation in Spatial Phytoplankton Dynamics

Randhir Singh Baghel

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Reaction-diffusion equation; phytoplankton dynamics; Spatiotemporal pattern formation; Chaos; Local Stability

Online: 31 May 2020 (20:31:07 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202005.0484.v1

Stability Analysis and Semi-analytic Solution to a SEIR-SEI Malaria Transmission Model Using HE’s Variational Iteration Method

Kingsley Timilehin Akinfe, Adedapo Chris Loyinmi

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: SEIR-SEI; Basic Reproduction number; Disease-Free equilibrium point (DFE); Endemic equilibrium point; Stability; Variational iteration method (VIM); Runge-Kutta-Felhberg (RKF-45)

Online: 31 May 2020 (17:39:41 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202005.0444.v1

Online Sequential Extreme Learning Machine: A New Training Scheme for Restricted Boltzmann Machines

BERGHOUT Tarek

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: restricted Boltzmann machine; contrastive divergence; extreme learning machine; online sequential extreme learning machine; autoencoders; deep belief network; deep learning

Online: 27 May 2020 (08:18:39 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202004.0193.v2

Effect of Lockdown and Isolation to Suppress the COVID-19 in Bangladesh: An Epidemic Compartments Model

Md. Shahidul Islam, Jannatun Irana Ira, K. M. Ariful Kabir, Md. Kamrujjaman

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: COVID-19; lockdown; sensitivity analysis; epidemic dynamics

Online: 23 May 2020 (10:47:33 CEST)

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Preprint REVIEW | doi:10.20944/preprints202005.0243.v1

Review of New Flow Friction Equations: Constructing Colebrook’s Explicit Correlations Accurately

Pavel Praks, Dejan Brkić

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Colebrook equation; Hydraulic flow friction; Wright ω-function; explicit approximations; symbolic regression; computational intelligence

Online: 14 May 2020 (15:15:38 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202005.0004.v1

The Umbrella Function

Kuldeep Sing Gehlot

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: The Umbrella function; the Umbrella symbol

Online: 2 May 2020 (11:57:11 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202004.0537.v1

New Two Parameter Gamma Function

Kuldeep Sing Gehlot

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: New/Generalized two parameter Gamma function; New/Generalized two parameter Pochhammer symbol; Two Parameter Pochhammer symbol; Two parameter Gamma function; New/Generalized two parameter Psi function; New/Generalized p - k Hypergeometric function

Online: 30 April 2020 (16:31:51 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202002.0379.v5

The Complexity of Mathematics

Frank Vega

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: complexity classes; regular languages; reduction; number theory; conjecture; primes

Online: 22 April 2020 (09:48:30 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202004.0113.v1

Dynamics of the Rational Difference Equation $x_{n+1}=px_{n}+\frac{q}{x_{n-1}^2}$

Sk Sarif Hassan

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: rational difference equation; asymptotic stability; periodic solutions; chaos and fractal

Online: 8 April 2020 (03:59:40 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202002.0379.v4

The Complexity of Mathematics

Frank Vega

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: complexity classes; regular languages; reduction; number theory; conjecture; primes

Online: 2 April 2020 (18:25:32 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202003.0447.v1

Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations

Denys Dutykh, Elena Tobisch

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: energy cascade; modulational instability; Fourier power spectrum; Korteweg-de Vries equations

Online: 31 March 2020 (09:46:20 CEST)

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Preprint ARTICLE | doi:10.20944/preprints202002.0379.v3

The Complexity of Number Theory

Frank Vega

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: complexity classes; regular languages; reduction; number theory; conjecture; primes

Online: 11 March 2020 (16:04:28 CET)

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Preprint ARTICLE | doi:10.20944/preprints202002.0410.v1

On Efficient Iterative Numerical Methods for Simultaneous Determination of all Roots of Non-Linear Function

Mudassir Shams, Nazir Mir, Naila Rafiq

Subject: Computer Science And Mathematics, Computational Mathematics Keywords: Single roots; Distinct roots; Multiple roots; Optimal order; Non-Linear equation; Iterative methods; Simultaneous Methods; Basin of attraction; Computational Efficiency

Online: 27 February 2020 (16:02:39 CET)

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Computer Science and Mathematics