The method of normal spline collocation

DOI10.1016/0041-5553(89)90059-1zbMath0702.65106OpenAlexW1992366224MaRDI QIDQ3481203

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Publication date: 1989

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(89)90059-1

zbMATH Keywords

projection methodnormal solutionHilbert-Sobolev spacecollocation systemmethod of normal spline-collocation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (7)

A simple NSC-RKHS algorithm for solving linear boundary value problems -- Error bounds and implementations ⋮ Spline reproducing kernels on \(\mathbb{R}\) and error bounds for piecewise smooth LBV problems ⋮ Properties of degenerate systems of linear integro-differential equations and initial value problems for these equations ⋮ Regularizing properties of difference schemes for singular integral-differential equations ⋮ Fast variants of the NSC-RKHS algorithm for solving linear boundary value problems ⋮ Collocation-variation difference schemes with several collocation points for differential-algebraic equations ⋮ The parameterization method in optimal control problems and differential-algebraic equations

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