Long-range numerical solution of mildly non-linear parabolic equations

DOI10.1007/BF02165002zbMath0221.65156MaRDI QIDQ2547473

Alfred S. Carasso

Publication date: 1971

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

Full work available at URL: https://eudml.org/doc/132036

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

The role of difference equations in numerical analysis ⋮ Two-step boundary value methods in the solution of ODEs ⋮ On the convergence of certain finite-difference schemes by an inverse- matrix method ⋮ Numerische Lösung des ersten und vierten parabolischen Randwertproblems and Hilfe der Randwerttechnik ⋮ A Posteriori Bounds in the Numerical Solution of Mildly Nonlinear Parabolic Equations ⋮ Boundary value methods and BV-stability in the solution of initial value problems ⋮ Asymptotic behavior of solutions of nonlinear parabolic equations ⋮ Long-range and periodic solutions of parabolic problems ⋮ Stability properties of some boundary value methods

Cites Work

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• Mildly nonlinear elliptic partial differential equations and their numerical solution. II
• Accurate partial difference methods. II: Non-linear problems
• Approximate Solutions of Parabolic Equations
• Computing Eigenvalues of Ordinary Differential Equations by Finite Differences
• A Generalization of the Lax-Richtmyer Theorem on Finite Difference Schemes
• On Difference Methods for Parabolic Equations and Alternating Direction Implicit Methods for Elliptic Equations
• On the Rate of Convergence for Discrete Initial-Value Problems.
• Finite-Difference Methods and the Eigenvalue Problem for Nonselfadjoint Sturm-Liouville Operators
• An Analysis of "Boundary-Value Techniques" for Parabolic Problems
• On integration of parabolic equations by difference methods: I. Linear and quasi‐linear equations for the infinite interval