Equivalence theorems for incomplete spaces: An appraisal. (English) Zbl 0559.65033

Palencia, C.; Sanz-Serna, J. M.

IMA J. Numer. Anal. 4, 109-115 (1984).

The authors apply some of the equivalence theorems which have been derived for nonlinear problems to linear ones and compare their respective ranges. In addition, there are some slight extensions of known results.

Reviewer: G.Merz

MSC:

65J10	Numerical solutions to equations with linear operators
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65L05	Numerical methods for initial value problems involving ordinary differential equations
34G10	Linear differential equations in abstract spaces

Keywords:

incomplete spaces; equivalence theorem; linear multistep methods