An improved Kellogg-Tsan solution decomposition in numerical methods for singularly perturbed convection-diffusion problems
DOI10.1016/j.apnum.2021.07.019zbMath1492.65218OpenAlexW3191617789MaRDI QIDQ822167
Thái Anh Nhan, Relja Vulanović
Publication date: 21 September 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.07.019
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Cites Work
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- Error estimates for linear finite elements on Bakhvalov-type meshes.
- Layer-adapted meshes for reaction-convection-diffusion problems
- Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem
- Uniform second-order pointwise convergence of a finite difference discretization for a quasilinear problem
- Optimal uniform-convergence results for convection-diffusion problems in one dimension using preconditioning
- The uniform convergence with respect to a small parameter of A. A. Samarskij's monotone scheme and its modification
- Nonlinear singular perturbation phenomena: theory and applications
- Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems
- Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Numerical solution of the third boundary value problem for an equation with a small parameter
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
- Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh
- The optimization of methods of solving boundary value problems with a boundary layer
- A note on the conditioning of upwind schemes on Shishkin meshes
