Spatial Semidiscretizations and Time Integration of 2D Parabolic Singularly Perturbed Problems

DOI10.1007/978-3-319-25727-3_6zbMath1427.65152OpenAlexW2483283551MaRDI QIDQ5207409

J. C. Jorge, Carmelo Clavero

Publication date: 20 December 2019

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25727-3_6

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

• A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems
• A hybrid difference scheme on a Shishkin mesh for linear convection-diffusion problems
• Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems
• Fitted Numerical Methods For Singular Perturbation Problems
• A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
• A uniformly convergent alternating direction HODIE finite difference scheme for 2D time-dependent convection-diffusion problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Asymptotic Analysis of a Singular Perturbation Problem
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A parameter robust numerical method for a two dimensional reaction-diffusion problem

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