Abel Symposia

Mathematics and Computation, a Contemporary View

The Abel Symposium 2006

Editors: Munthe-Kaas, Hans Z., Owren, Brynjulf (Eds.)

  • Top-level computational mathematicians write on current research topics inspired by an Abel Foundation sponsored workshop

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  • ISBN 978-3-540-68850-1
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Softcover $119.00
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  • ISBN 978-3-642-08841-4
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About this book

The 2006 Abel symposium is focusing on contemporary research involving interaction between computer science, computational science and mathematics. In recent years, computation has been affecting pure mathematics in fundamental ways. Conversely, ideas and methods of pure mathematics are becoming increasingly important within computational and applied mathematics. At the core of computer science is the study of computability and complexity for discrete mathematical structures. Studying the foundations of computational mathematics raises similar questions concerning continuous mathematical structures.

There are several reasons for these developments. The exponential growth of computing power is bringing computational methods into ever new application areas.

Equally important is the advance of software and programming languages, which to an increasing degree allows the representation of abstract mathematical structures in program code. Symbolic computing is bringing algorithms from mathematical analysis into the hands of pure and applied mathematicians, and the combination of symbolic and numerical techniques is becoming increasingly important both in computational science and in areas of pure mathematics.

We are witnessing a development where a focus on computability, computing and algorithms is contributing towards a unification of areas of computer science, applied and pure mathematics. The 2006 Abel symposium brought together some of the leading international researchers working in these areas, presented a snapshot of current state of the art, and raised questions about future research directions.

Table of contents (6 chapters)

  • Geometric Methods in Engineering Applications

    Gu, Xianfeng (et al.)

    Pages 1-19

  • Boundary Integral Equations for the Laplace-Beltrami Operator

    Gemmrich, S. (et al.)

    Pages 21-37

  • Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations

    Hou, Thomas Y. (et al.)

    Pages 39-66

  • Energy-Preserving and Stable Approximations for the Two-Dimensional Shallow Water Equations

    Tadmor, Eitan (et al.)

    Pages 67-94

  • A Conjecture about Molecular Dynamics

    Tupper, P. F.

    Pages 95-108

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-3-540-68850-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA
  • ISBN 978-3-540-68848-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA
  • ISBN 978-3-642-08841-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics and Computation, a Contemporary View
Book Subtitle
The Abel Symposium 2006
Editors
  • Hans Z. Munthe-Kaas
  • Brynjulf Owren
Series Title
Abel Symposia
Series Volume
3
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-68850-1
DOI
10.1007/978-3-540-68850-1
Hardcover ISBN
978-3-540-68848-8
Softcover ISBN
978-3-642-08841-4
Series ISSN
2193-2808
Edition Number
1
Number of Pages
XIV, 127
Topics