Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition
DOI10.1007/s11075-021-01098-6zbMath1492.65236arXiv2010.09305OpenAlexW3164752167WikidataQ114224301 ScholiaQ114224301MaRDI QIDQ2665949
José Luis Gracia, Eugene O'Riordan
Publication date: 22 November 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.09305
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Bifurcations in context of PDEs (35B32)
Related Items
Cites Work
- Parameter-uniform error estimate for the implicit four-point scheme for a singularly perturbed heat equation with corner singularities
- A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
- Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition
- Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data
- Parabolic equations with a small parameter and discontinuous data
- Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type
- Coupling Stokes–Darcy Flow with Transport
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item