Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics

Nonfiction, Science & Nature, Mathematics, Number Systems, Differential Equations
Cover of the book Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications by , Springer New York
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Author: ISBN: 9781461471721
Publisher: Springer New York Publication: June 4, 2013
Imprint: Springer Language: English
Author:
ISBN: 9781461471721
Publisher: Springer New York
Publication: June 4, 2013
Imprint: Springer
Language: English

One of the current main challenges in the area of scientific computing​ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability and robustness of the algorithms in porous media, structural mechanics and electromagnetism are presented. 

 

Researchers and graduate students in  numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

One of the current main challenges in the area of scientific computing​ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability and robustness of the algorithms in porous media, structural mechanics and electromagnetism are presented. 

 

Researchers and graduate students in  numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful. 

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