Dynamic programming treatment of the finite element method for two-point boundary value problems †

DOI10.1080/00207168208803332zbMath0491.65048OpenAlexW2054482331MaRDI QIDQ3953110

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Publication date: 1982

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168208803332

zbMATH Keywords

numerical examplestwo-point boundary value problemsrecursion relationsdynamic programming, finite element method

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

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• A dynamic programming approach to the formulation and solution of finite element equations
• Dynamic programming and partial differential equations
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Splines via dynamic programming

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