A variational method using Walsh functions

DOI10.1016/S0362-546X(97)00498-7zbMath0939.42017OpenAlexW2010055892MaRDI QIDQ4266444

W. F. Blyth, B. G. Sloss

Publication date: 30 September 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00498-7

zbMATH Keywords

Walsh functionsRitz methodvariational problemssemilinear Dirichlet equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Existence theories for free problems in two or more independent variables (49J10)

Related Items (1)

THE COMPUTATIONAL EFFICIENCY OF WALSH APPROXIMATION FOR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS

Cites Work

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• A Walsh series direct method for solving variational problems
• A pseudospectral Walsh function method
• Corrington's Walsh function method applied to a nonlinear integral equation
• A priori error estimates for Corrington's Walsh function method
• On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators
• A Remarkable Series of Orthogonal Functions (I)
• A Remarkable Series of Orthogonal Functions (II)
• Finite-Dimensional Analogues of Variational Problems in the Plane
• On the Walsh Functions

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