Results 211 to 220 of about 49,679 (263)

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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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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Memoirs of finite difference schemes

Journal of Computational Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S K Godunov, Ivanova, Kseniya A.
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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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On Monotonic Finite Difference Schemes

Mathematical Models and Computer Simulations, 2020
We propose an approach to construct monotonic finite difference schemes for solving the simplest elliptic and parabolic equations with the first derivatives and a small parameter at the highest derivative. For this, the notion of adaptive artificial viscosity is introduced.
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