Calculation of Electric Contact Heating on the Basis of Two-Dimensional Temperature Field Model by A. N. Gerasimovich, D. A. Gerasimovich, Yu. A. Klimovich

“…Two-dimensional temperature field model is proposed to calculate flat contact heating. Numerical algorithms for calculation of contact temperature have been developed on the basis of finite-difference method. …”
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A Spectral Relaxation Approach for Unsteady Boundary-Layer Flow and Heat Transfer of a Nanofluid over a Permeable Stretching/Shrinking Sheet by S. S. Motsa, P. Sibanda, J. M. Ngnotchouye, G. T. Marewo

“…This paper introduces two novel numerical algorithms for the efficient solution of coupled systems of nonlinear boundary value problems. …”
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High-Accuracy Parallel Neural Networks with Hard Constraints for a Mixed Stokes/Darcy Model by Zhulian Lu, Junyang Zhang, Xiaohong Zhu

“…In this paper, we study numerical algorithms based on Physics-Informed Neural Networks (PINNs) for solving a mixed Stokes/Darcy model that describes a fluid flow coupled with a porous media flow. …”
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Instability behavior of arches under quasi-static concentrated load by Nguyen Dinh Kien

“…The arches are idealized as equivalent frameworks and analyzed by the finite element method using the nonlinear co-rotational beam elements. The numerical algorithms for computing the limit load and tracing the equilibrium path are presented. …”
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Principle of compatibility and non-generalised coordinates by Dinh Van Phong

“…In the article the author derived the theoretical basis as well as numerical algorithms concerning the combination of nongeneralised coordinates with the principle of compatibility. …”
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High-Order Algorithms for Riesz Derivative and Their Applications (I) by Hengfei Ding, Changpin Li, YangQuan Chen

“…We firstly develop the high-order numerical algorithms for the left and right Riemann-Liouville derivatives. …”
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Modeling Non-Quasi-Static Magnetic Coupling of Parallel Flat Inductors for Wireless Power Transfer Applications in Close Proximity to the Ground by Mauro Parise

“…The validity of the derived solution is assessed through comparison with the outcomes of conventional analytical and numerical algorithms. The results from the conducted simulations confirm that the proposed formulation offers advantages over the previous techniques in terms of both accuracy and efficiency.…”
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Text Mining arXiv: A Look Through Quantitative Finance Papers by Michele Leonardo Bianchi

“…Additionally, I compare numerous algorithms for performing topic modeling, including state-of-the-art approaches.…”
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Numerical Solution of Diffusion Models in Biomedical Imaging on Multicore Processors by Luisa D'Amore, Daniela Casaburi, Livia Marcellino, Almerico Murli

“…We perform a comparative study of numerical algorithms arising from using the semi-implicit and the fully implicit discretization schemes. …”
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Two Legendre-Dual-Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd-Order Boundary Value Problems by Waleed M. Abd-Elhameed, Eid H. Doha, Mahmoud A. Bassuony

“…Two numerical algorithms based on dual-Petrov-Galerkin method are developed for solving the integrated forms of high odd-order boundary value problems (BVPs) governed by homogeneous and nonhomogeneous boundary conditions. …”
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A Note on the Perturbation of arithmetic expressions by Baghdad Science Journal

“…In this paper we present the theoretical foundation of forward error analysis of numerical algorithms under;• Approximations in "built-in" functions.• Rounding errors in arithmetic floating-point operations.• Perturbations of data.The error analysis is based on linearization method. …”
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Series and Rational Solutions of the Second Kind Painlevé Equations by Using the Quantum Pseudospectral Method by Saeid Abbasbandy

“…Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. …”
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Generalized Lucas Tau Method for the Numerical Treatment of the One and Two-Dimensional Partial Differential Heat Equation by Y. H. Youssri, W. M. Abd-Elhameed, S. M. Sayed

“…This paper is dedicated to proposing two numerical algorithms for solving the one- and two-dimensional heat partial differential equations (PDEs). …”
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COMBINED ALGORITHMS FOR CONSTRUCTING A SOLUTION TO THE TIME–OPTIMAL PROBLEM IN THREE-DIMENSIONAL SPACE BASED ON THE SELECTION OF EXTREME POINTS OF THE SCATTERING SURFACE by Pavel D. Lebedev, Alexander A. Uspenskii

“…The found analytical representation for the extreme points of the bisector is taken as the basis for numerical algorithms for constructing a singular set. The effectiveness of the developed approach for solving non-smooth dynamic problems is illustrated by an example of numerical-analytical construction of resolving structures for the time-optimal control problem.…”
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Calculation of Plane Contact Heating under Steady-State and Transient Conditions on the Basis of One-Dimension Model of Temperature Field by D. A. Gerasimovich, Y. A. Klimovich, M. A. Mishkina, G. G. Ezenkov

“…The paper proposes one-dimension model of temperature field with the purpose to calculate plane contact heating under steady-state and transient conditions. The numerical algorithms have been developed to calculate contact temperatures. …”
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Interest-Rate Products Pricing Problems with Uncertain Jump Processes by Yiyao Sun, Shiqin Liu

“…For this reason, numerical algorithms are designed by using the formulas in order to compute the prices of these structured products. …”
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A semi discrete convolutional neural network algorithm for solving hyperbolic equations(求解双曲型方程的半离散卷积神经网络算法) by 汪浏博(WANG Liubo), 郑素佩(ZHENG Supei), 张蕊(ZHANG Rui), 封建湖(FENG Jianhu)

“…The existence of discontinuous solutions of the hyperbolic conservation laws calls for require strict numerical algorithms. Traditional low order numerical algorithms are usually easy to construct, but the resolution of the numerical results is low and depends on the grid. …”
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Maximum likelihood inference for multivariate delay differential equation models by Ahmed Adly Mahmoud, Abdalla Rabie, Sarat Chandra Dass, Ohud A. Alqasem, Getachew Tekle Mekiso, Eslam Hussam, Ahmed M. Gemeay

“…To obtain the maximum likelihood estimator and estimate of the information matrix, two numerical algorithms are developed: (i) the adaptive grid and (ii) the gradient descent algorithms. …”
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Determination of Coefficients of High-Order Schemes for Riemann-Liouville Derivative by Rifang Wu, Hengfei Ding, Changpin Li

“…Although there have existed some numerical algorithms for the fractional differential equations, developing high-order methods (i.e., with convergence order greater than or equal to 2) is just the beginning. …”
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Absence and Blow-Up of Solutions to Singular Perturbation Problems in the Case of Exchange of Stabilities by M. A. Terentyev

“…We prove some results of this kind by means of the nonlinear capacity argument and discuss their role in developing numerical algorithms for the problems under consideration.…”
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