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Volume 15, Issue 2
On Maximum Norm Estimates for Ritz-Volterra Projection with Applications to Some Time Dependent Problems

Y. P. Lin

J. Comp. Math., 15 (1997), pp. 159-178.

Published online: 1997-04

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  • Abstract

The stability in $L^\infty$-norm is considered for the Ritz-Volterra projection and some applications are presented in this paper. As a result, point-wise error estimates are established for the finite element approximation for the parabolic integro-differential equation, Sobolev equations, and a diffusion equation with non-local boundary value problem.

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@Article{JCM-15-159, author = {Y. P. Lin}, title = {On Maximum Norm Estimates for Ritz-Volterra Projection with Applications to Some Time Dependent Problems}, journal = {Journal of Computational Mathematics}, year = {1997}, volume = {15}, number = {2}, pages = {159--178}, abstract = {

The stability in $L^\infty$-norm is considered for the Ritz-Volterra projection and some applications are presented in this paper. As a result, point-wise error estimates are established for the finite element approximation for the parabolic integro-differential equation, Sobolev equations, and a diffusion equation with non-local boundary value problem.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9197.html} }
TY - JOUR T1 - On Maximum Norm Estimates for Ritz-Volterra Projection with Applications to Some Time Dependent Problems AU - Y. P. Lin JO - Journal of Computational Mathematics VL - 2 SP - 159 EP - 178 PY - 1997 DA - 1997/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9197.html KW - AB -

The stability in $L^\infty$-norm is considered for the Ritz-Volterra projection and some applications are presented in this paper. As a result, point-wise error estimates are established for the finite element approximation for the parabolic integro-differential equation, Sobolev equations, and a diffusion equation with non-local boundary value problem.

Y. P. Lin. (1997). On Maximum Norm Estimates for Ritz-Volterra Projection with Applications to Some Time Dependent Problems. Journal of Computational Mathematics. 15 (2). 159-178. doi:
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