Schauder bases in Banach spaces: Application to numerical solutions of differential equations.

DOI10.1016/S0898-1221(02)00176-1zbMath1035.65082OpenAlexW2086719194MaRDI QIDQ1416269

D. Massart

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00176-1

zbMATH Keywords

numerical exampleBanach spaceSchauder basesDifferential equationstau method

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space ⋮ A convergence result for a least-squares method using Schauder bases ⋮ Schauder bases and approximation property in fuzzy normed spaces ⋮ Approximation properties in fuzzy normed spaces

Cites Work

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• Numerical Solution of Stiff and Singularly Perturbed Boundary Value Problems With a Segmented-Adaptive Formulation of the Tau Method
• A construction of basis in $C^{(1)}(I^{2})$
• The Tau Method
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$