A Galerkin approximation for the initial-value problem for linear second- order differential equations

DOI10.1016/0096-3003(84)90010-9zbMath0553.65049OpenAlexW2018155005MaRDI QIDQ759456

Marvin Zeman, John Gregory

Publication date: 1984

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(84)90010-9

zbMATH Keywords

comparison of methodsGalerkin methodRunge-Kutta methodseigenvalue problemsdirect methodstwo-step difference schemelinear second-order differential equationscontrol-theory problemsCowell's methodspline hat functionsStörmer's method

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

A finite element approximation for the initial-value problem for nonlinear second-order differential equations. II: Systems

Cites Work

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• Quadratic form theory and differential equations
• Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
• Convergence and stability in the numerical integration of ordinary differential equations
• Interpolation and Integration of Initial Value Problems of Ordinary Differential Equations by Regular Splines
• Spline Function Approximations for Solutions of Ordinary Differential Equations

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