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＜電子ブック＞
Mathematics and Computation, a Contemporary View : The Abel Symposium 2006 / edited by Hans Munthe-Kaas, Brynjulf Owren
(Abel Symposia. ISSN:21978549 ; 3)

版	1st ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XIV, 127 p : online resource
著者標目	Munthe-Kaas, Hans editor Owren, Brynjulf editor SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Software engineering LCSH:Computer science LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Numerical Analysis FREE:Software Engineering FREE:Theory of Computation FREE:Computational Mathematics and Numerical Analysis FREE:Mathematics of Computing
一般注記	Geometric Methods in Engineering Applications -- Boundary Integral Equations for the Laplace-Beltrami Operator -- Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations -- Energy-Preserving and Stable Approximations for the Two-Dimensional Shallow Water Equations -- A Conjecture about Molecular Dynamics -- The Dynamics of Transition to Turbulence in Plane Couette Flow 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 HTTP:URL=https://doi.org/10.1007/978-3-540-68850-1

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