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