Local Piecewise Polynomial Projection Methods for an O.D.E. Which Give High-Order Convergence at Knots

DOI10.2307/2007723zbMath0456.65056OpenAlexW4253649407MaRDI QIDQ3906345

Carl De Boor, Blair K. Swartz

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007723

zbMATH Keywords

superconvergencecollocationhigh-order convergencelocal moment methodslocal piecewise polynomial projection methods

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (5)

Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: The Principle of the Thing ⋮ Error analysis of the Tau method: Dependence of the approximation error on the choice of perturbation term ⋮ Differential equations with piecewise approximate coefficients: Discrete and continuous estimation for initial and boundary value problems ⋮ A fourth-order collocation scheme for two-point interface boundary value problems ⋮ On superconvergence techniques

Cites Work

• High order approximation to Sturm-Liouville eigenvalues
• High order projection methods of moment- and collocation-type for nonlinear boundary value problems
• Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: The Principle of the Thing
• Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: Numerical Illustrations
• Solving Linear Boundary Value Problems by Approximating the Coefficients
• Collocation at Gaussian Points

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