A new method for automatical computation of error bounds for the set of all solutions of nonlinear boundary value problems

DOI10.1007/BF02259841zbMath0555.65055OpenAlexW357085604MaRDI QIDQ760775

Peter Wildenauer

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02259841

zbMATH Keywords

a priori boundsautomatical computation of error boundsset of all solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Computer aspects of numerical algorithms (65Yxx)

Related Items (1)

A priori error bounds for general two-point boundary-value problems with arbitrarily many solutions

Cites Work

• Einschließungsaussagen bei Differentialoperatoren zweiter Ordnung durch punktweise Ungleichungen
• Operator inequalities
• A method for the computation of bounds with convergence of arbitrary order for ordinary linear boundary value problems
• Erzeugung globaler Konvergenz bei regulären Zerlegungen von nichtlinearen Abbildungen
• Construction of Domains with All Solutions, and the Existence of Extreme Solutions
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