On the Scope of the Method of Modified Equations
- 1 July 1986
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific and Statistical Computing
- Vol. 7 (3), 994-1008
- https://doi.org/10.1137/0907067
Abstract
No abstract availableKeywords
This publication has 17 references indexed in Scilit:
- Studies in Numerical Nonlinear Instability I. Why do Leapfrog Schemes Go Unstable?SIAM Journal on Scientific and Statistical Computing, 1985
- The study of a Petrov-Galerkin method for first-order hyperbolic equationsComputer Methods in Applied Mechanics and Engineering, 1984
- The stability of explicit Euler time‐integration for certain finite difference approximations of the multi‐dimensional advection–diffusion equationInternational Journal for Numerical Methods in Fluids, 1984
- Convergence of the Lambert-McLeod trajectory solver and of the celf methodNumerische Mathematik, 1984
- An extension of the Lax-Richtmyer theoryNumerische Mathematik, 1984
- Equivalence Theorems for Incomplete Spaces: An AppraisalIMA Journal of Numerical Analysis, 1984
- A dispersion analysis for difference schemes: tables of generalized Airy functionsMathematics of Computation, 1978
- On finite‐difference approximations and entropy conditions for shocksCommunications on Pure and Applied Mathematics, 1976
- Heuristic stability theory for finite-difference equationsJournal of Computational Physics, 1968
- Estimation of the Relaxation Factor for Small Mesh SizeMathematical Tables and Other Aids to Computation, 1956