Logarithmic Reduction of the Wrapping Effect with Application to Ordinary Differential Equations

DOI10.1137/0725012zbMath0638.65068OpenAlexW1992040379MaRDI QIDQ3779688

Robert D. Skeel, Thomas N. Gambill

Publication date: 1988

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0725012

zbMATH Keywords

numerical examplesinterval analysissysteminterval matriceslogarithmic reductionwrapping effectrigorous error boundsodd/even reduction

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 (5)

On interval predictor-corrector methods ⋮ Interval versions of Milne's multistep methods ⋮ Enclosing Chebyshev Expansions in Linear Time ⋮ Rigorously computed orbits of dynamical systems without the wrapping effect ⋮ On parallel methods for boundary value ODEs

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