Stability of parabolic difference schemes in the maximum norm

DOI10.1007/BF02163187zbMath0173.44805OpenAlexW2025073461MaRDI QIDQ2532345

Olof B. Widlund

Publication date: 1966

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131697

zbMATH Keywords

numerical analysis

Related Items (16)

The rate of convergence of parabolic difference schemes with constant coefficients ⋮ Interior a priori estimates in discrete L\(_p\) norms for solutions of parabolic and elliptic difference equations ⋮ Maximum Norm Stability of Difference Approximations to the Mixed Initial Boundary-Value Problem for the Heat Equation ⋮ The equivalence of \(L^ q-\)stability, the resolvent condition, and strict H-stability ⋮ The distribution of the eigenvalues of the discrete Laplacian ⋮ High-order compact finite difference scheme for option pricing in stochastic volatility models ⋮ Stability and convergence of linear parabolic mixed initial-boundary value problems on nonuniform grids ⋮ Large time step maximum norm regularity of L-stable difference methods for parabolic equations ⋮ From finite differences to finite elements. A short history of numerical analysis of partial differential equations ⋮ Error estimates for partial differential equations ⋮ Stabile Mehrschichtverfahren für parabolische Evolutionsgleichungen ⋮ Numerical analysis of coupled hydromagnetic wave equations with a finite difference scheme ⋮ On the numerical solutions of higher order nonlinear parabolic equations ⋮ Perturbation theory of difference schemes ⋮ Besov spaces in theory of approximation ⋮ Mesh Refinements for Parabolic Equations of Second Order

Cites Work

• Necessary and insufficient conditions for well-posed Cauchy problems
• The stability of finite difference approximations to second order linear parabolic differential equations
• On the stability of certain finite difference approximations to parabolic systems of differential equations
• Convergence and stability in the numerical integration of ordinary differential equations
• Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
• On the Stability of Parabolic Difference Schemes
• On a matrix theorem due to H. O. Kreiss
• On integration of parabolic equations by difference methods: I. Linear and quasi‐linear equations for the infinite interval
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