Open AccessBook
Numerical Analysis
Roger Temam
- 30 Sep 1973
35
About: The article was published on 30 Sep 1973. and is currently open access. The article focuses on the topics: Numerical analysis.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Analysis of evolutionary error in finite element and other methods
M.J.P Cullen,K.W. Morton +1 more
TL;DR: A unified framework is presented for analyzing the accuracy of finite difference, finite element, and spectral methods in approximating evolutionary problems and demonstrates the importance of the interpretation given to the discrete data generated in any computation.
49
•Journal Article
Analysis and Estimation of Error Constants for P0 and P1 Interpolations over Triangular Finite Elements
Xuefeng Liu,Fumio Kikuchi +1 more
TL;DR: In this paper, the Babuska-Aziz constant has been shown to play an essential role in the interpolation error estimation of the linear triangular finite element, which is used for a priori and a posteriori error estimations in adaptive computation and numerical verification of nu- merical solutions based on the triangular finite elements.
Numerical solution of nonlinear partial differential equations with the Tau method
E.L. Ortiz,K.-S. Pun +1 more
TL;DR: The ability of a recent formulation of the Tau method of Ortiz and Samara to give approximate solutions of a high accuracy of linear PDEs with variable coefficients is used to produce numerical solutions of nonlinear partial differential equations as mentioned in this paper.
44
Full discretization of the porous medium/fast diffusion equation based on its very weak formulation
TL;DR: In this paper, a weak formulation of the porous medium/fast diffusion equation yields an evolution problem in a Gelfand triple with the pivot space H 1. The theoretical results are illustrated for the piecewise constant finite element approximation with the�-distribution as initial value.
27
Multigrid methods: development of fast solvers
TL;DR: It is found that a large class of equations can be solved efficiently in this way, and the user has to specify only the matrix and the right-hand-side, and remains unaware of the underlying multigrid method.
27