Numerical solution of stiff and convection-diffusion equations using adaptive spline function approximation

DOI10.1016/0307-904X(83)90163-4zbMath0512.65083OpenAlexW2011869745MaRDI QIDQ1050107

J. Blot

Publication date: 1983

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(83)90163-4

zbMATH Keywords

numerical resultssingular perturbationconvection-diffusion problemsstiff systemadaptive spline functionnonphysical oscillationsoscillation free solutionstest models

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Initial-boundary value problems for first-order hyperbolic systems (35L50) 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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Cites Work

• Unnamed Item
• Spline function approximation for differential equations
• Monotone Difference Schemes for Diffusion-Convection Problems
• Higher Order Compact Implicit Schemes for the Wave Equation
• Higher-Order Numerical Solutions Using Cubic Splines
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• Cubic spline solutions to two-point boundary value problems
• The use of cubic splines in the solution of two-point boundary value problems
• Numerical Analysis of Boundary-Layer Problems in Ordinary Differential Equations
• Linear Multistep Methods with Mildly Varying Coefficients
• The automatic integration of ordinary differential equations
• A special stability problem for linear multistep methods

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