Results 261 to 270 of about 1,089,385 (313)

Memoirs of finite difference schemes

Journal of Computational Physics
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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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Conservative Multi-dimensional Semi-Lagrangian Finite Difference Scheme: Stability and Applications to the Kinetic and Fluid Simulations

Journal of Scientific Computing, 2016
In this paper, we propose a mass conservative semi-Lagrangian finite difference scheme for multi-dimensional problems without dimensional splitting. The semi-Lagrangian scheme, based on tracing characteristics backward in time from grid points, does not ...
T. Xiong, G. Russo, Jing-Mei Qiu
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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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Finite-Difference Schemes on Regular Triangular Grids

Journal of Computational Physics, 1993
The authors consider wave propagation errors of linear convection equations in one and two spatial dimensions (1) \(U_ t + c \cdot \text{grad} U = 0\). For the analytical solution an ansatz of harmonic functions is made. This is compared with some numerical semidiscrete approximations of (1). In the 2D-case finite difference schemes are considered on a
Zingg, David W., Lomax, Harvard
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Finite-difference scheme to solve Schrödinger equations

Physical Review E, 1993
Comparisons are made among several three-node finite-difference schemes (FDS's) for solving time-independent Schr\"odinger equations. It is shown that the Mickens FDS is, although exact in some special cases, generally two orders lower than the Numerov FDS. An alternative FDS, the combined Numerov-Mickens FDS, is introduced.
, Chen, , Xu, , Sun
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Modified-truncation finite difference schemes

Journal of Computational Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chaos in Finite Difference Schemes

2003
Publisher Summary The word “chaos” appeared for the first time in the field of mathematics in an article of Li and Yorke entitled “Period Three Implies Chaos.” This short and elegant paper caused a great sensation in the world of mathematical physics.
Masaya Yamaguti, Yoichi Maeda
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Finite Difference Scheme for Barotropic Gas Equations

Doklady Mathematics, 2018
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Imranov, F. B., Kobel'kov, G. M., Sokolov, A. G.   +2 more
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Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games

SIAM Journal on Numerical Analysis, 2015
Mean field--type models describing the limiting behavior of stochastic differential games as the number of players tends to $+\infty$ were recently introduced by Lasry and Lions.
Y. Achdou, A. Porretta
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