On Collocation Schemes for Quasilinear Singularly Perturbed Boundary Value Problems

DOI10.1137/0721056zbMath0581.65062OpenAlexW2038872300MaRDI QIDQ3703225

Christian Ringhofer

Publication date: 1984

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0721056

zbMATH Keywords

numerical exampleglobal errorquasilinear systemspolynomial collocationmesh selecting strategy

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

Efficient classes of Runge-Kutta methods for two-point boundary value problems ⋮ Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes ⋮ B-spline collocation method for nonlinear singularly-perturbed two-point boundary-value problems ⋮ 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 ⋮ The Galerkin method for singularly perturbed boundary value problems on adaptive grids

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