An iterative technique for solving singularly perturbed parabolic PDE
DOI10.1007/s12190-015-0866-xzbMath1330.65151OpenAlexW2035903083MaRDI QIDQ2634334
Publication date: 9 February 2016
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-015-0866-x
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- A brief survey on numerical methods for solving singularly perturbed problems
- Richardson extrapolation technique for singularly perturbed parabolic convection--diffusion problems
- Stable approximate evaluation of unbounded operators
- On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems
- Numerical methods for time-dependent convection-diffusion equations
- Finite difference domain decomposition algorithms for a parabolic problem with boundary layers
- On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer
- On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection-diffusion equation.
- An iterative Tikhonov regularization for solving singularly perturbed elliptic PDE
- Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind
- An a posteriori parameter choice for simplified regularization of ill- posed problems
- High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates
- -uniform schemes with high-order time-accuracy for parabolic singular perturbation problems
- Parameter uniform approximations for time‐dependent reaction‐diffusion problems
- Tikhonov regularization of an elliptic PDE
This page was built for publication: An iterative technique for solving singularly perturbed parabolic PDE