NUMERICAL SIMULATION OF MAGNETIC FIELD STRUCTURE IN CYLINDRICAL FILM SCREEN by G. F. Gromyko, V. T. Erofeenko, G. M. Zayats

“…A numerical method for solving the boundary value problem for a nonlinear magnetostatic equation describing the external magnetostatic field penetration through the cylindrical film coating is developed. …”
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On the Singularity of Multivariate Hermite Interpolation of Total Degree by Zhongyong Hu, Zhaoliang Meng, Zhongxuan Luo

“…Also some regular interpolation schemes are derived, a few of which are proved due to theoretical argument and most of which are verified by numerical method. There are some schemes to be decided and left open.…”
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Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition by Habtamu Garoma Debela, Gemechis File Duressa

“…An accelerated uniformly convergent numerical method is constructed via exponentially fitted operator method using Richardson extrapolation techniques and numerical integration methods to solve the problem. …”
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A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model by O. Angulo, J. C. López-Marcos, M. A. López-Marcos

“…We propose a new second-order numerical method to attain its solution. The scheme is analyzed and the optimal rate of convergence is derived. …”
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Parameter-Uniform Numerical Scheme for Singularly Perturbed Delay Parabolic Reaction Diffusion Equations with Integral Boundary Condition by Wakjira Tolassa Gobena, Gemechis File Duressa

“…A parameter-uniform numerical method is constructed via the nonstandard finite difference method for the spatial direction, and the backward Euler method for the resulting system of initial value problems in temporal direction is used. …”
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Convergence of numerical solution of stochastic differential equation for the self-thinning process by Petras Rupšys

“…In this paper from a practical viewpoint we apply a simple numerical method for solution of the stochastic differential equations by the Milstein's higher order method. …”
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Numerical Calculations of the GRP Scheme for Nonconservative Ideal Fluid Mechanics Equations Relying on Parallel Calculation of Multifluid Grids by Huijing Zhan, Mingze Wu

“…In order to solve the numerical method of nonconservative ideal hydrodynamics equations, the viscous perturbation technique for solving nonconservative hydrodynamics equations is improved and tested by solving the Riemann problem. …”
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On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current by Dali Guo, Bo Tao, Xiaohui Zeng

“…The numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. …”
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Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems by Gianni Arioli

“…We present a new numerical method for the computation of the forcing term of minimal norm such that a two-point boundary value problem admits a solution. …”
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On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method by Z. Pashazadeh Atabakan, A. Kazemi Nasab, A. Kılıçman

“…A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points. …”
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Behavior of Uniform Anisotropic Beams of Rectangular Section under Transverse Impact of a Mass by Lu Chun, K. Y. Lam

“…A numerical method is presented to investigate the dynamic response of uniform orthotropic beams subjected to an impact of a mass. …”
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Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel by M. Esmaeilpour, Naeem Roshan, Negar Roshan, D. D. Ganji

“…The results compare well with those obtained by the numerical method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.…”
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Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method by Jun-Mei Li, Yu-Lan Wang, Wei Zhang

“…Although some numerical methods of the Lorenz system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. …”
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Numerical Algorithm for Delta of Asian Option by Boxiang Zhang, Yang Yu, Weiguo Wang

“…We implement our proposed numerical method and compare the standard error with other classical variance reduction methods. …”
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SIMPLIFIED METHOD FOR CALCULATING CLOSING IN OF SWITCH-GEAR FLEXIBLE BUSES AT SHORT CIRCUIT BY IMPULSE OF ELECTRODYNAMIC FORCES by I. I. Sergey, E. G. Ponomarenko, W. M. Sammur, P. I. Klimkovich

“…These factors have been obtained with the help of a computer program that realized numerical method for calculating closing-in of wires by flexible thread levels.Diagrams are constructed with the purpose to find ymax and criteria of electro-dynamic resistance of flexible buses (permissible impulse of electro-dynamic forces and current of electro-dynamic resistance) is determined.…”
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Piecewise Approximate Analytical Solutions of High-Order Singular Perturbation Problems with a Discontinuous Source Term by Essam R. El-Zahar

“…The results show that the method is a reliable and convenient asymptotic semianalytical numerical method for treating high-order singular perturbation problems with a discontinuous source term.…”
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Enriched P1-Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions by Gwanghyun Jo, Do Y. Kwak

“…We develop a numerical method for elliptic interface problems with implicit jumps. …”
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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems by Ozgur Yildirim

“…A very efficient numerical method that combines the finite difference method and the fixed point theory is used to perform numerical experiments to verify theoretical statements.…”
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Solution of the Falkner–Skan Equation Using the Chebyshev Series in Matrix Form by Abdelrady Okasha Elnady, M. Fayek Abd Rabbo, Hani M. Negm

“…A numerical method for the solution of the Falkner–Skan equation, which is a nonlinear differential equation, is presented. …”
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Qualitatively Stable Nonstandard Finite Difference Scheme for Numerical Solution of the Nonlinear Black–Scholes Equation by Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Zahra Mohammadnia, Hamid Mohammad Sedighi

“…In this paper, we use a numerical method for solving the nonlinear Black–Scholes partial differential equation of the European option under transaction costs, which is based on the nonstandard discretization of the spatial derivatives. …”
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