A parametrization method for the numerical solution of singular differential equations

DOI10.1016/J.APNUM.2008.03.025zbMath1160.65033OpenAlexW1994010556MaRDI QIDQ1007385

J. Martínez

Publication date: 20 March 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.025

zbMATH Keywords

numerical examplesdifferential-algebraic equationsimplicit differential equationsparametrization methodvariational splinesvariable degeneracy

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical optimization and variational techniques (65K10) Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (1)

The method of normal splines for linear DAEs on the number semi-axis

Uses Software

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Cites Work

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• Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited
• The method of normal splines for linear DAEs on the number semi-axis
• Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge-Kutta methods with a nontrivial predictor
• The parameterization method in optimal control problems and differential-algebraic equations
• Regularization of degenerated equations and inequalities under explicit data parameterization
• Solving Ordinary Differential Equations I
• The Parameterization Method in Singular Differential-Algebraic Equations
• Development of the Normal Spline Method for Linear Integro-Differential Equations
• DUALITY OF CONVEX FUNCTIONS AND EXTREMUM PROBLEMS
• Solving systems differential-algebraic equations of high indices

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