On the optimal error of algorithms for solving scalar autonomous ODE

DOI10.1007/BF01934413zbMath0501.65037MaRDI QIDQ1172375

Bolesław Kacewicz

Publication date: 1982

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

22, 503-518 (1982)error of algorithmsscalar autonomous differential equationTaylor algorithm

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

A survey of information-based complexity, Optimal solution of ordinary differential equations, Asymptotic error of algorithms for solving nonlinear problems, How to increase the order to get minimal-error algorithms for systems of ODE, On sequential and parallel solution of initial value problems, Solving systems of IVPs with discontinuous derivatives-numerical experiments, The randomized complexity of initial value problems, Can adaption help on the average?, Optimality of Euler-integral information for solving a scalar autonomous ODE

Cites Work

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• The optimal recovery of smooth functions
• On the Optimal Solution of Large Linear Systems
• Computational Complexity of One-Step Methods for Systems of Differential Equations