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Titlebook: Mathematics and Computation, a Contemporary View; The Abel Symposium 2 Hans Munthe-Kaas,Brynjulf Owren Conference proceedings 2008 Springer

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发表于 2025-3-21 16:37:42 | 显示全部楼层 |阅读模式
书目名称Mathematics and Computation, a Contemporary View
副标题The Abel Symposium 2
编辑Hans Munthe-Kaas,Brynjulf Owren
视频video
概述Top-level computational mathematicians wrote on current research topics inspired by an Abel Foundation sponsored workshop.Includes supplementary material:
丛书名称Abel Symposia
图书封面Titlebook: Mathematics and Computation, a Contemporary View; The Abel Symposium 2 Hans Munthe-Kaas,Brynjulf Owren Conference proceedings 2008 Springer
描述.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 ar
出版日期Conference proceedings 2008
关键词Abel symposia; algorithms; applied mathematics; complexity; computability; computational mathematics; comp
版次1
doihttps://doi.org/10.1007/978-3-540-68850-1
isbn_softcover978-3-642-08841-4
isbn_ebook978-3-540-68850-1Series ISSN 2193-2808 Series E-ISSN 2197-8549
issn_series 2193-2808
copyrightSpringer-Verlag Berlin Heidelberg 2008
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发表于 2025-3-21 22:56:44 | 显示全部楼层
Conference proceedings 2008n 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 di
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The Dynamics of Transition to Turbulence in Plane Couette Flow,by a threshold perturbation could depend upon the nature of the perturbation. Surprisingly, the positive eigenvalue that corresponds to one family of solutions decreases in magnitude with increasing ., with the rate of decrease given by .. with . ≈ −0.46.
发表于 2025-3-22 11:12:19 | 显示全部楼层
2193-2808 tary material: .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
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Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations, consider the interaction of two perturbed antiparallel vortex tubes which was previously investigated by Kerr in [16, 19]. In our numerical study, we use both the pseudo-spectral method with the 2/3 dealiasing rule and the pseudo-spectral method with a high order Fourier smoothing. Moreover, we per
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