×

A general equivalence theorem in the theory of discretization methods. (English) Zbl 0599.65034

For initial and boundary value problems discretized by finite differences, by finite elements, etc. the Lax-Richtmyer theorem is generalized. Several examples are given.
Reviewer: S.Filippi

MSC:

65J10 Numerical solutions to equations with linear operators
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65L20 Stability and convergence of numerical methods for ordinary differential equations
PDF BibTeX XML Cite
Full Text: DOI