The Application of Stability Analysis in the Numerical Solution of Quasi-Linear Parabolic Differential Equations

DOI10.2307/1993197zbMath0084.34702OpenAlexW4246261780MaRDI QIDQ3252938

Jim jun. Douglas

Publication date: 1959

Full work available at URL: https://doi.org/10.2307/1993197

zbMATH Keywords

numerical analysis

Related Items (7)

Some Stable Difference Approximations to a Fourth-Order Parabolic Partial Differential Equation ⋮ Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem ⋮ Stability analysis and numerical simulation of 1-D and 2-D radial flow towards on oil well ⋮ Optimal numerical algorithms ⋮ Stability and Convergence of Difference Approximations to Pseudo-Parabolic Partial Differential Equations ⋮ Alternating direction methods for three space variables ⋮ An implicit finite difference method for Eulerian fluid dynamics

Cites Work

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• On the numerical integration of quasi-linear parabolic differential equations
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• The Solution of the Diffusion Equation by a High Order Correct Difference Equation
• Survey of the stability of linear finite difference equations
• On the Relation Between Stability and Convergence in the Numerical Solution of Linear Parabolic and Hyperbolic Differential Equations
• A Study of the Numerical Solution of Partial Differential Equations
• On integration of parabolic equations by difference methods: I. Linear and quasi‐linear equations for the infinite interval

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