An Analysis of a Superconvergence Result for a Singularly Perturbed Boundary Value Problem
From MaRDI portal
Publication:3753404
DOI10.2307/2008216zbMath0612.65043OpenAlexW2078398994MaRDI QIDQ3753404
Martin Stynes, Eugene O'Riordan
Publication date: 1986
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2008216
difference schemesuperconvergencesingularly perturbed boundary value problemdiscrete Green's functionuniform second order convergence
Green's functions for ordinary differential equations (34B27) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)
Related Items
\(L^ 1\) and \(L^{\infty}\) uniform convergence of a difference scheme for a semilinear singular perturbation problem, Optimal B-spline collocation method for self-adjoint singularly perturbed boundary value problems, Ten ways to generate the Il'in and related schemes, A nonconforming finite element method for a singularly perturbed boundary value problem, Superconvergence phenomena in the finite element method, Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points, Fourth-order accurate difference method for the singular perturbation problem, Unnamed Item, Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems, Second-order accurate difference method for the singularly perturbed problem of fourth-order ordinary differential equations, Finite Volume Solutions of Convection-Diffusion Test Problems, A numerical verification method for solutions of singularly perturbed problems with nonlinearity, Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations, An Analysis of a Uniformly Convergent Finite Difference/Finite Element Scheme for a Model Singular-Perturbation Problem, A finite element method for a singularly perturbed boundary value problem
