High order projection methods of moment- and collocation-type for nonlinear boundary value problems

DOI10.1007/BF02252915zbMath0288.65047OpenAlexW389415841MaRDI QIDQ1846734

K. A. Wittenbrink

Publication date: 1973

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252915

Mathematics Subject Classification ID

Spline approximation (41A15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical analysis in abstract spaces (65J99)

Related Items

Global Approximations to Solutions of Initial Value Problems, Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: The Principle of the Thing, A Collocation Solver for Mixed Order Systems of Boundary Value Problems, Local Piecewise Polynomial Projection Methods for an O.D.E. Which Give High-Order Convergence at Knots, Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben, Projektionsverfahren für Randwertaufgaben mit nichtlinearen Randbedingungen, Collocation methods for parabolic partial differential equations in one space dimension, Approximative methods for nonlinear equations (two approaches to the convergence problem), Regular convergence of operators and approximate solution of equations

Cites Work

• A collocation method for boundary value problems
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
• Collocation at Gaussian Points
• Quadrature Formulas with Simple Gaussian Nodes and Multiple Fixed Nodes
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