The Stability of One-Step Schemes for First-Order Two-Pointv Boundary Value Problems

DOI10.1137/0720083zbMath0529.65052OpenAlexW2007972173MaRDI QIDQ3311607

Carl De Boor, Herbert B. Keller, Frank R. de Hoog

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1137/0720083

zbMATH Keywords

stabilityfirst-order systemfinite difference schemeone-step schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (8)

On computing smooth solutions of problems with large Lipschitz constants ⋮ On the condition of singular boundary value problems ⋮ On stability constants and condition numbers of discretisation methods ⋮ On dichotomy and well conditioning in Kronecker product two-point boundary value problems ⋮ On dichotomy and well-conditioning in two-point boundary-value problems ⋮ Gaussian collocation via defect correction ⋮ Accurate estimates for the fundamental solutions of discrete boundary value problems ⋮ A note on conditioning, stability and collocation matrices

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