Using a small algebraic manipulation system to solve differential and integral equations by variational and approximation techniques

DOI10.1016/S0747-7171(87)80007-XzbMath0647.65059OpenAlexW2066222208MaRDI QIDQ1104710

R. D. Mills

Publication date: 1987

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(87)80007-x

zbMATH Keywords

Galerkin methodsymbolic computationvariational methodsleast squares methodRayleigh-Ritz methodalgebraic manipulation systemschoice of the basis functions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Slope retention techniques for solving boundary-value problems in differential equations ⋮ When integration sparsification fails: banded Galerkin discretizations for Hermite functions, rational Chebyshev functions and sinh-mapped Fourier functions on an infinite domain, and Chebyshev methods for solutions with \(C^\infty\) endpoint singularities

Cites Work

• Symbolic and algebraic computation. EUROSAM '79, an international symposium on symbolic and algebraic manipulation, Marseille, France, June 1979
• Analytically Solving Integral Equations by Using Computer Algebra
• Addendum to “Analytically Solving Integral Equations by Using Computer Algebra”
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