Single Step Methods and Low Order Splines for Solutions of Ordinary Differential Equations

DOI10.1137/0708008zbMath0219.65060OpenAlexW2070546689MaRDI QIDQ5624579

E. David Callender

Publication date: 1971

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0708008

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (13)

Global Approximations to Solutions of Initial Value Problems ⋮ Implicit single step methods by spline-like functions for solution of ordinary differential equations ⋮ Numerische Lösung gewöhnlicher Differentialgleichungen mit Splinefunktionen ⋮ Numerical solution of initial-value problems by collocation methods using generalized piecewise functions ⋮ On the numerical solution of nonlinear Volterra integro-differential equations ⋮ Natural spline block implicit methods ⋮ Convergence of spline collocation for Volterra integral equations ⋮ One-Step Piecewise Polynomial Galerkin Methods for Initial Value Problems ⋮ A one-step integration routine for normal differential systems, based on Gauss-Legendre quadrature ⋮ On the divergence of collocation solutions in smooth piecewise polynomial spaces for Volterra integral equations ⋮ Maximale Konvergenzordnung bei der numerischen Lösung von Anfangswertproblemen mit Splines ⋮ A deficient spline function approximation to systems of first-order differential equations. II ⋮ One-Step Piecewise Polynomial Multiple Collocation Methods for Initial Value Problems

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