A Stable High-Order Interpolation Scheme for Superconvergent Data

DOI10.1137/S1064827593257481zbMath0922.65061MaRDI QIDQ4883666

Hongsung Jin, Steven A. Pruess

Publication date: 11 October 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical examplesboundary value problemssuperconvergencespline collocationstable interpolation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Higher order approximations using interpolation applied to collocation solutions of two-point boundary value problems ⋮ An error term and uniqueness for Hermite-Birkhoff interpolation involving only function values and/or first derivative values ⋮ High-order interpolants for solutionsof two-point boundary value problems using MIRK methods ⋮ Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems

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