Convergence of multistep methods for systems of ordinary differential equations with parameters. (English) Zbl 0634.65063

Jankowski, Tadeusz

Apl. Mat. 32, 257-270 (1987).

Quasilinear nonstationary multistep methods for systems of ordinary differential equations with paramters are considered. The author obtains sufficient conditions for convergence of the methods. Two examples are considered to illustrate the method. It is found that this method is slightly better than that of R. W. Hamming [J. Assoc. Comput. Machin. 6, 37-47 (1959; Zbl 0086.112)].

Reviewer: N.Parki

MSC:

65L10	Numerical solution of boundary value problems involving ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations

Keywords:

Quasilinear nonstationary multistep methods; convergence

Citations:

Zbl 0086.112

References:

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