Stabilization of explicit methods for convection diffusion equations by discrete mollification

DOI10.1016/j.camwa.2007.04.019zbMath1155.65366OpenAlexW2004027532MaRDI QIDQ1005815

Carlos D. Acosta, Carlos E. Mejía

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.04.019

zbMATH Keywords

stability analysiswave propagationconvection-diffusionexplicit schemesdiscrete mollification

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (10)

A mollified marching solution of an inverse ablation-type moving boundary problem ⋮ Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ A mollification based operator splitting method for convection diffusion equations ⋮ A two dimensional discrete mollification operator and the numerical solution of an inverse source problem ⋮ A Compact Higher-Order Scheme for Two-Dimensional Unsteady Convection–Diffusion Equations ⋮ Approximate solution of hyperbolic conservation laws by discrete mollification ⋮ A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem ⋮ Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations ⋮ Estimation of unknown boundary functions in an inverse heat conduction problem using a mollified marching scheme

Cites Work

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• Discrete mollification and automatic numerical differentiation
• Mollified hyperbolic method for coefficient identification problems
• Iterative exponential filtering for large discrete ill-posed problems
• High order finite difference numerical methods for time-dependent convection-dominated problems
• Stabilization of explicit methods for hyperbolic partial differential equations
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• Explicit Time-Stepping for Stiff ODEs
• A Fast Algorithm for Deblurring Models with Neumann Boundary Conditions
• Super-time-stepping acceleration of explicit schemes for parabolic problems

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