Finite Difference Schemes for Partial Differential Equations with Weak Solutions and Irregular Coefficients-Reference-Cited by-同舟云学术

Finite Difference Schemes for Partial Differential Equations with Weak Solutions and Irregular Coefficients

Published:2004 Issue:1 Volume:4 Page:48-65
ISSN:1609-9389
Container-title:Computational Methods in Applied Mathematics
language:
Short-container-title:Comput. Methods Appl. Math.

Author:

Jovanović Boško S.¹

Affiliation:

1. 1University of Belgrade, Faculcty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia and Montenegro.

Abstract

AbstractA survey of the results concerning the convergence of ﬁnite difference schemes for boundary value problems with generalized solutions from the Sobolev space is presented. In particular, difference schemes for some problems with singular coefficients are investigated.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.2478/cmam-2004-0004/pdf

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Approximations to Problems of Optimal Control of Leading Coefficients of Elliptic Equations in Nondivergence Form with an Unbounded Nonlinearity in the Coefficients;Differential Equations;2021-06

2. On Convergence of Difference Approximations of Extremum Problems Described by Elliptic Equations with Unbounded Nonlinearity;Finite Difference Methods. Theory and Applications;2019

3. Consistent convergence rate estimates in the grid W 2,0 2 (ω) norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from W 2,0 m (Ω), 3 < m ≤ 4;Computational Mathematics and Mathematical Physics;2017-09