Concepedia

Time Integration of the Shallow Water Equations in Spherical Geometry

D. Lanser, J.G. Blom, J.G. Verwer

Journal of Computational Physics · 2001 · 35 citations · 15 references

DOI

Concepts

References

15

Difference Methods for Initial-Value Problems

E. I., Robert D. Richtmyer, K. W. Morton · Mathematics of Computation · 1968 · 3.4K citations

, , +11

The Numerical Solution of Parabolic and Elliptic Differential Equations

D.W. Peaceman, H.H. Rachford · Journal of the Society for Industrial and Applied Mathematics · 1955 · 3.3K citations

, , +17

An implicit finite-difference algorithm for hyperbolic systems in conservation-law form

Richard M. Beam, R. F. Warming · Journal of Computational Physics · 1976 · 1.1K citations

, , +15

A standard test set for numerical approximations to the shallow water equations in spherical geometry

David Williamson, John B. Drake, James J. Hack et al. · Journal of Computational Physics · 1992 · 870 citations

, , +12

Upwind difference schemes for hyperbolic systems of conservation laws

Stanley Osher, Fred Solomon · Mathematics of Computation · 1982 · 775 citations

, , +17