Results 41 to 50 of about 64,290 (211)
Development of a symplectic and phase error reducing perturbation finite-difference advection scheme
, 2016 The aim of this work is to develop a new scheme for solving the pure advection equation. This scheme formulated within the perturbation finite-difference context not only conserves symplecticity but also preserves the numerical dispersion relation ...
高智 +3 more
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A high order accurate difference scheme for complex flow fields [PDF]
, 1997 A high order accurate finite difference method for direct numerical simulation of coherent structure in the mixing layers is presented. The reason for oscillation production in numerical solutions is analyzed, It is caused by a nonuniform group velocity ...
马延文 +2 more
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Generalized finite-difference schemes [PDF]
Mathematics of Computation, 1969 Finite-difference schemes for initial boundary-value problems for partial differential equations lead to systems of equations which must be solved at each time step. Other methods also lead to systems of equations. We call a method a generalized finite-difference scheme if the matrix of coefficients of the system is sparse.
Swartz, B., Wendroff, B.
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, 2017 In the present paper, we develop a generalised finite difference approach based on compact integrated radial basis function (CIRBF) stencils for solving highly nonlinear Richards equation governing fluid movement in heterogeneous soils.
Ngo-Cong, D. +13 more
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Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation [PDF]
Mathematics Interdisciplinary Research, 2016 In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the ...
Akbar Mohebbi, Zahra Faraz
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Theoretical Optimization of Finite Difference Schemes
, 2006 The aim of this work is to develop general optimization methods for finite difference schemes used to approximate linear differential equations. The specific case of the transport equation is exposed. In particular, the minimization of the numerical error is taken into account.
David, Claire, Sagaut, Pierre
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Some estimates for a special linear difference parabolic equation
Mathematical Modelling and Analysis, 1997 The finite‐difference scheme for a special linear parabolic equation is investigated. A priori estimates for such finite‐difference scheme are derived in the difference analogues of norm on Banach function spaces V2 and W 2 2,1. First Published Online:
Artūras Štikonas
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Nonlinear Instability in Dissipative Finite Difference Schemes [PDF]
SIAM Review, 1989 A unified analysis of reaction-diffusion equations and their finite difference representations is presented. Continuous and discrete problems are studied from the perspective of bifurcation theory. The numerical instability is shown to be associated with the bifurcation of periodic orbits in discrete systems.
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A parallel algorithm for solving one problem of nonlinear optics
Lietuvos Matematikos Rinkinys, 1998 This paper deals with a system of nonlinear differential equations, which describe the interaction of two focussed laser beams.The problem is approximated by a splitting finite difference scheme.
Raimondas Čiegis +2 more
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Conservative Linear Difference Scheme for Rosenau-KdV Equation
Advances in Mathematical Physics, 2013 A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well.
Jinsong Hu, Youcai Xu, Bing Hu
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