Overview
- Provides a broad spectrum of numerical techniques and real life applications of these techniques
- All fundamentally important aspects of numerical modeling of physical phenomena described by partial differential equations are covered
- Additionally, some state-of-the-art numerical multiscale discretization and solution techniques are presented ?
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 45)
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About this book
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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Table of contents (15 papers)
Editors and Affiliations
Bibliographic Information
Book Title: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
Book Subtitle: In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics
Editors: Oleg P. Iliev, Svetozar D. Margenov, Peter D Minev, Panayot S. Vassilevski, Ludmil T Zikatanov
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-1-4614-7172-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-7171-4Published: 04 June 2013
Softcover ISBN: 978-1-4899-9830-9Published: 07 July 2015
eBook ISBN: 978-1-4614-7172-1Published: 04 June 2013
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XII, 327
Topics: Partial Differential Equations, Numerical Analysis, Difference and Functional Equations, Computational Mathematics and Numerical Analysis