Results 161 to 170 of about 64,290 (211)

On a finite difference scheme for Burgers’ equation

Applied Mathematics and Computation, 2009
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Kanti Pandey   +2 more
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Memoirs of finite difference schemes

Journal of Computational Physics
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S K Godunov, Ivanova, Kseniya A.
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A New Finite-Difference Diffusion Scheme

Journal of Computational Physics, 1996
The authors purpose a new second-order accurate, explicit finite difference diffusion scheme, that they call ``three-level, locally implicit'' scheme. The scheme is derived as a weighted average of the conventional forward-in-time, explicit diffusion scheme over one grid length and the same scheme over two grid lengths.
Hobson, J. M., Wood, N., Mason, P. J.
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Finite Difference Scheme

1984
To arrive at finite difference equations modeling magnetohydrodynamic equilibrium we use a technique that is motivated by the finite element method [3]. First we develop a second order accurate numerical quadrature formula for the Hamiltonian E based on a rectangular grid of mesh points over a unit cube of the space with coordinates s, u and v.
Frances Bauer   +2 more
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Group Velocity in Finite Difference Schemes

SIAM Review, 1982
The relevance of group velocity to the behavior of finite difference models of time-dependent partial differential equations is surveyed and illustrated. Applications involve the propagation of wave packets in one and two dimensions, numerical dispersion, the behavior of parasitic waves, and the stability analysis of initial boundary-value problems.
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Finite-Difference Schemes

2020
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
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AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES

Journal of Computational Acoustics, 1999
Nonstandard finite difference schemes offer the potential for either constructing exact discrete models of differential equations or obtaining discrete models that do not have the elementary numerical instabilities. While the general laws for constructing such schemes are not precisely known at the present time, a number of important rules have been ...
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