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The extension of the theory of A-methods to RK-methods. (English) Zbl 0682.65041

Numerical treatment of differential equations, Sel. Pap. 4th Int. Semin., NUMDIFF, Halle-Wittenberg/GDR 1987, Teubner-Texte Math. 104, 8-18 (1988).
[For the entire collection see Zbl 0672.00007.]
Any combination of different linear k-step methods generates a composite linear scheme; typical examples are the linear cyclic methods, the block- implicit methods, and also the Runge-Kutta methods (RK-methods). The aim of this paper is to incorporate the theory of RK-methods into the more general theoretical setting of A-methods. The result is a unified approach to a very large class of integration methods.
Reviewer: P.ChocholatĂ˝

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems

Citations:

Zbl 0672.00007