A method for the computation of bounds with convergence of arbitrary order for ordinary linear boundary value problems

DOI10.1016/0022-247X(81)90053-6zbMath0495.65038OpenAlexW2008619806MaRDI QIDQ1169796

H. Spreuer

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90053-6

zbMATH Keywords

two-sided boundsinternal-mathematics

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Comparison of direct to shooting enclosures for an inverse-monotone boundary value problem with locally steep solution ⋮ A new method for automatical computation of error bounds for the set of all solutions of nonlinear boundary value problems

Uses Software

• ALGOL 60

Cites Work

• Uniqueness and stability for boundary value problems with weakly coupled systems of nonlinear integro-differential equations and application to chemical reactions
• The defect correction principle and discretization methods
• On improving an approximate solution of a functional equation by deferred corrections
• On contracting interval iteration for nonlinear problems in Rn
• A General Theory of Convergence for Numerical Methods
• Hinreichende Bedingung für Ausschluß von Eigenwerten in Parameterintervallen bei einer Klasse von linearen homogenen Funktionalgleichungen
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