Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient-Reference-Cited by-同舟云学术

Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient

Published:2001-04 Issue:1-2 Volume:37 Page:171-187
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Castillo J.E.,Hyman J.M.,Shashkov M.,Steinberg S.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference18 articles.

1. Time-stable boundary conditions for finite difference solving hyperbolic systems: Methodology and applications to high-order compact schemes;Carpenter;J. Comput. Phys.,1994

2. The sensitivity and accuracy of fourth order finite-difference schemes on non-uniform grids in one dimension;Castillo;Comput. Math. Appl.,1995

3. J.E. Castillo, J.M. Hyman, M.J. Shashkov, S. Steinberg, High-order mimetic finite-difference schemes on non-uniform grids, ICOSAHOM '95; Houston J. Math. (1996)

4. Numerical Methods for Scientists and Engineers;Hamming,1973

5. High order finite volume approximations of differential operators on nonuniform grids;Hyman;Phys. D,1992

Cited by 39 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Modeling acoustic wavefields from moving sources in the presence of a time-varying free surface;GEOPHYSICS;2024-04-12

2. A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems;GEM - International Journal on Geomathematics;2023-11-23

3. High order mimetic differences applied to the convection–diffusion equation: a matrix stability analysis;GEM - International Journal on Geomathematics;2023-09-13

4. Mimetic finite difference operators and higher order quadratures;GEM - International Journal on Geomathematics;2023-07-19

5. High-order mimetic finite differences for anisotropic elliptic equations;Computers & Fluids;2020-12