An analytically oriented discretization technique for boundary value problems

DOI10.1007/BF02950758zbMath0776.65057OpenAlexW2093950328MaRDI QIDQ1187142

Hans-Goerg Roos

Publication date: 28 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02950758

zbMATH Keywords

singular perturbationuniform convergencemonotone methodsfourth order problemsbounding operator

Mathematics Subject Classification ID

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 (4)

Viscous Equations Treated with $$\mathcal{L}$$ -Splines and Steklov-Poincaré Operator in Two Dimensions ⋮ Ten ways to generate the Il'in and related schemes ⋮ A nonconforming finite element method for a singularly perturbed boundary value problem ⋮ \(\mathcal L\)-splines and viscosity limits for well-balanced schemes acting on linear parabolic equations

Cites Work

• Monotone iteration descretization algorithm for BVP's
• Global uniformly convergent schemes for a singularly perturbed boundary- value problem using patched base spline-functions
• Strong uniform stability and exact discretizations of a model singular perturbation problem and its finite-difference approximations
• Uniform Enclosure of High Order for Boundary Value Problems by Monotone Discretization
• An Analysis of a Singularly Perturbed Two-Point Boundary Value Problem Using Only Finite Element Techniques
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