A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations

DOI10.1016/J.CAM.2011.09.026zbMath1236.65101OpenAlexW2114969977MaRDI QIDQ654785

Takehiko Kinoshita, Mitsuhiro T. Nakao, Takuma Kimura

Publication date: 21 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.09.026

zbMATH Keywords

finite element methodlinear ODEsconstructive a posteriori estimates

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Ordinary differential operators (34L99) Error analysis and interval analysis (65G99)

Related Items (4)

On a posteriori estimates of inverse operators for linear parabolic initial-boundary value problems ⋮ Numerical Verification of Solutions for Nonlinear Parabolic Problems ⋮ On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems ⋮ Constructive error analysis of a full-discrete finite element method for the heat equation

Uses Software

• INTLAB

Cites Work

• On a posteriori estimates of inverse operators for linear parabolic initial-boundary value problems
• On the best constant in the error bound for the \(H_0^1\)-projection into piecewise polynomial spaces
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