On best possible order of convergence estimates in the collocation method and Galerkin's method for singularly perturbed boundary value problems for systems of first-order ordinary differential equations

DOI10.1090/S0025-5718-99-01034-0zbMath1043.65092OpenAlexW1996756530MaRDI QIDQ4235513

V. V. Strygin, Igor A. Blatov

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01034-0

zbMATH Keywords

collocation methodGalerkin methodFinite element method for singular perturbation problems

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Conditional \(\epsilon\)-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems ⋮ A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement

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