Hermite interpolation visits ordinary two-point boundary value problems

DOI10.1017/S1446181100003205zbMath1130.65074OpenAlexW2158243018MaRDI QIDQ5431873

R. E. Grundy

Publication date: 2 January 2008

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100003205

zbMATH Keywords

numerical examplesboundary value problemspolynomial solutionsHermite interpolation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations ⋮ Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations ⋮ A new basis for osculatory interpolation problems and applications ⋮ Uniformly valid polynomial representations for boundary-layer problems ⋮ An explicit representation of the three-point Hermite interpolant for the numerical solution of singular boundary value problems

Cites Work

• The analysis of initial-boundary-value problems using Hermite interpolation
• Explicit forms for certain Hermite approximations
• The application of Hermite interpolation to the analysis of non-linear diffusive initial-boundary value problems
• Polynomial representations for initial-boundary-value problems involving the inviscid Proudman-Johnson equation
• Trigonometric Interpolation of Empirical and Analytical Functions

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