Studies in Numerical Nonlinear Instability I. Why do Leapfrog Schemes Go Unstable?
- 1 October 1985
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific and Statistical Computing
- Vol. 6 (4), 923-938
- https://doi.org/10.1137/0906062
Abstract
No abstract availableThis publication has 15 references indexed in Scilit:
- Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensional Incompressible Flow. Part IJournal of Computational Physics, 1997
- Equivalence Theorems for Incomplete Spaces: An AppraisalIMA Journal of Numerical Analysis, 1984
- On finite elements simulatenously in space and timeInternational Journal for Numerical Methods in Engineering, 1983
- An explicit finite-difference scheme with exact conservation propertiesJournal of Computational Physics, 1982
- Convergence of Methods for the Numerical Solution of the Korteweg—de Vries EquationIMA Journal of Numerical Analysis, 1981
- A systematic approach for correcting nonlinear instabilitiesNumerische Mathematik, 1978
- Mathematical Methods of Classical MechanicsPublished by Springer Nature ,1978
- Finite Amplitude Instabilities of Partial Difference EquationsSIAM Journal on Applied Mathematics, 1977
- On the instability of leap-frog and Crank-Nicolson approximations of a nonlinear partial differential equationMathematics of Computation, 1973
- ON THE COMPUTATIONAL STABILITY OF NUMERICAL SOLUTIONS OF TIME-DEPENDENT NON-LINEAR GEOPHYSICAL FLUID DYNAMICS PROBLEMSMonthly Weather Review, 1965