Numerical approximation to ODEs using the error functional

DOI10.1090/S0002-9939-2012-11340-1zbMath1279.65088OpenAlexW1990494572MaRDI QIDQ2846854

L. Bayón, P. M. Suárez, José María Grau, M. M. Ruiz

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11340-1

zbMATH Keywords

optimal controlnumerical exampleserror boundsvariational methodsinitial value problemsboundary value problemglobal solutionscyclic coordinate descenterror integral functionEuler's polygonals

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) 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) Error bounds for numerical methods for ordinary differential equations (65L70)

Uses Software

• bvp4c

Cites Work

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• Numerical Solution of Ordinary Differential Equations
• An almost L‐stable BDF‐type method for the numerical solution of stiff ODEs arising from the method of lines
• Optimal control

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