A variant of Tikhonov regularization for parabolic PDE with space derivative multiplied by a small parameter \(\epsilon\)
type: Item
instance of: scholarly article
title: A variant of Tikhonov regularization for parabolic PDE with space derivative multiplied by a small parameter \(\epsilon\)
zbMATH Open document ID: 1390.35121
author: M. P. Rajan
author: G. D. Reddy
published in: Applied Mathematics and Computation
publication date: 2018-06-07T00:00:00Z
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 6881733
zbMATH Keywords: singular perturbation
zbMATH Keywords: parabolic PDE
zbMATH Keywords: Tikhonov regularization
MaRDI profile type: Publication
full work available at URL: j.amc.2015.02.071
OpenAlex ID: W2074136425
cites work: Finite difference domain decomposition algorithms for a parabolic problem with boundary layers
cites work: High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems
cites work: Parameter uniform approximations for time‐dependent reaction‐diffusion problems
cites work: Q4895893
cites work: Stable approximate evaluation of unbounded operators
cites work: A brief survey on numerical methods for solving singularly perturbed problems
cites work: On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection-diffusion equation.
cites work: Richardson extrapolation technique for singularly perturbed parabolic convection--diffusion problems
cites work: Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind
cites work: An iterative Tikhonov regularization for solving singularly perturbed elliptic PDE
cites work: Tikhonov regularization of an elliptic PDE
cites work: Q3363687
cites work: On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer
cites work: On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems
cites work: -uniform schemes with high-order time-accuracy for parabolic singular perturbation problems
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: Numerical methods for time-dependent convection-diffusion equations
DOI: 10.1016/J.AMC.2015.02.071
description: scientific article; zbMATH DE number 6881733