Springer Proceedings in Mathematics & Statistics

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

Editors: Iliev, O.P., Margenov, S.D., Minev, P.D., Vassilevski, P.S., Zikatanov, L.T. (Eds.)

  • 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  ​
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eBook $109.00
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  • ISBN 978-1-4614-7172-1
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Hardcover $139.00
price for USA
  • ISBN 978-1-4614-7171-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
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  • ISBN 978-1-4899-9830-9
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Rent the ebook  
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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. 

Table of contents (15 chapters)

  • Improving Conservation for First-Order System Least-Squares Finite-Element Methods

    Adler, J. H. (et al.)

    Pages 1-19

  • Multiscale Coarsening for Linear Elasticity by Energy Minimization

    Buck, Marco (et al.)

    Pages 21-44

  • Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I

    Axelsson, Owe

    Pages 45-67

  • A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition

    Bonito, Andrea (et al.)

    Pages 69-79

  • Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs

    Brannick, James (et al.)

    Pages 81-102

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-7172-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-4614-7171-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4899-9830-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Series Volume
45
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-7172-1
DOI
10.1007/978-1-4614-7172-1
Hardcover ISBN
978-1-4614-7171-4
Softcover ISBN
978-1-4899-9830-9
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XII, 327
Topics