Adaptive methods for piecewise polynomial collocation for ordinary differential equations

DOI10.1007/s10543-006-0103-yzbMath1116.65095OpenAlexW2012476599MaRDI QIDQ878196

N. E. Zubov

Publication date: 26 April 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0103-y

zbMATH Keywords

numerical examplesboundary value problemserror estimatemesh redistributionpiecewise polynomial collocation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Computer-oriented stability analysis based on recurrent transformation of difference solutions of ordinary differential equations ⋮ Adaptive piecewise Poly-Sinc methods for function approximation

Uses Software

• COLSYS

Cites Work

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• Convergence rates for adaptive approximation of ordinary differential equations
• Mesh Selection in Collocation for Boundary Value Problems
• A Posteriori Error Estimation and Global Error Control for Ordinary Differential Equations by the Adjoint Method
• Further Asymptotic Properties of Collocation Matrix Norms
• Collocation Software for Boundary-Value ODEs
• On a Theory of Mesh-Refinement Processes
• Adaptive mesh refinement processes for finite element solutions
• Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
• Multi-Adaptive Galerkin Methods for ODEs I
• Collocation at Gaussian Points
• Trigonometric Interpolation of Empirical and Analytical Functions

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