Using direct method for solving variational problems via triangular orthogonal functions

DOI10.1016/j.amc.2007.02.080zbMath1193.65196OpenAlexW2066238503MaRDI QIDQ990420

J. Martínez

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.080

zbMATH Keywords

direct methodvariational problemsorthogonal functionsoperational matricestriangular functions

Mathematics Subject Classification ID

Newton-type methods (49M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• Direct Walsh-wavelet packet method for variational problems
• A new set of orthogonal functions and its application to the analysis of dynamic systems
• Shifted Legendre direct method for variational problems
• Laguerre series direct method for variational problems
• A Walsh series direct method for solving variational problems
• Haar wavelet direct method for solving variational problems.
• Shifted Chebyshev direct method for solving variational problems
• Fourier series direct method for variational problems
• Recursive computational algorithms for a set of block pulse operational matrices

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