The analysis of general two-dimensional PEC structures using a modified CPFDTD algorithm [PDF]
, 1996 The use of the contour path finite difference time domain (CPFDTD) method with locally distorted contours has been shown to give accurate results for curved metal structures.
Schneider, JB, Railton, CJ, Craddock, IJ
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Nonuniform Finite Difference Scheme for the Three-Dimensional Time-Fractional Black–Scholes Equation
Journal of Function Spaces, 2021 In this study, we present an accurate and efficient nonuniform finite difference method for the three-dimensional (3D) time-fractional Black–Scholes (BS) equation.
Sangkwon Kim +5 more
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On stochastic finite difference schemes [PDF]
Stochastic Partial Differential Equations: Analysis and Computations, 2014 Finite difference schemes in the spatial variable for degenerate stochastic parabolic PDEs are investigated. Sharp results on the rate of $L_p$ and almost sure convergence of the finite difference approximations are presented and results on Richardson extrapolation are established for stochastic parabolic schemes under smoothness assumptions.
openaire +2 more sources
A dynamically optimized finite difference scheme for Large-Eddy Simulation [PDF]
, 2010 A low-dispersive dynamic finite difference scheme for Large-Eddy Simulation is developed. The dynamic scheme is constructed by combining Taylor series expansions on two different grid resolutions. The scheme is optimized dynamically through the real-time
Fauconnier, Dieter +5 more
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Journal of Algorithms & Computational Technology, 2013 A new finite difference scheme based on the method of characteristics is presented for convection-diffusion problems. The scheme is of single-step and second order in time, and the matrix of the derived system of linear equations is symmetric.
Hirofumi Notsu +2 more
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Solving space-fractional Cauchy problem by modified finite-difference discretization scheme
Alexandria Engineering Journal, 2020 This paper deals with the stability convergence analysis for SFCE in the sense of Riemann-Liouville derivative. A modified FDDS is developed utilizing the fractionally-shifted Grünwald formula in handling the SFCE.
Omar Abu Arqub +3 more
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Conservative Weighted Finite Difference Scheme for the Rosenau-RLW Equation
四川大学学报. 自然科学版, 2017 In this paper a numerical method for an initial-boundary problem of the Rosenau-RLW equation is considered. A three-layer weighted conservative difference scheme is proposed. The scheme simulates the conservation property of the equations.
ZHANG Xi, HU Bing, HU Jin-Song
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A mimetic finite difference method using Crank-Nicolson scheme for unsteady diffusion equation
Revista de Matemática: Teoría y Aplicaciones, 2010 n this article a new mimetic finite difference method to solve unsteady diffusion equation is presented. It uses Crank-Nicolson scheme to obtain time approximations and second order mimetic discretizations for gradient and divergence operators in space ...
Iliana A. Mannarino
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A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]
, 1996 A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
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Perturbational Finite Difference Scheme of Convection-Diffusion Equation
, 2002 The Perturbational Finite Difference (PFD) method is a kind of high-order-accurate compact difference method, But its idea is different from the normal compact method and the multi-nodes method.
Hu LM(胡利民), Gao Z(高智)
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