Modern methods in scientific computing and applications

著者

書誌事項

Modern methods in scientific computing and applications

edited by Anne Bourlioux, Martin J. Gander and technical editor Gert Sabidussi

(NATO science series, Series II . Mathematics, physics and chemistry ; v. 75)

Kluwer Academic, c2002

タイトル別名

Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques Supérieures on Modern Methods in Scientific Computing and Applications, Montréal, Québec, Canada, 9-20 July 2001

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

The influence of scientific computing has become very wide over the last few decades: almost every area of science and engineering is greatly influenced by simulations - image processing, thin films, mathematical finance, electrical engineering, moving interfaces and combustion, to name but a few. One half of this book focuses on the techniques of scientific computing: domain decomposition, the absorption of boundary conditions and one-way operators, convergence analysis of multi-grid methods and other multi-grid techniques, dynamical systems, and matrix analysis. The remainder of the book is concerned with combining techniques with concrete applications: stochastic differential equations, image processing, thin films, and asymptotic analysis for combustion problems.

目次

  • Preface. Key to group picture. Participants. Contributors. Computation of large-scale quadratic forms and transfer functions using the theory of moments, quadrature and Pade approximation
  • Z. Bai, G.H. Golub. Thin film dynamics: theory and applications
  • A.L. Bertozzi, M. Bowen. Numerical turbulent combustion: an asymptotic view via an idealized test-case
  • A. Bourlioux. Multigrid methods: from geometrical to algebraic versions
  • G. Haase, U. Langer. One-way operators, absorbing boundary conditions and domain decomposition for wave propagation
  • L. Halpern, A. Rahmouni. Deterministic and random dynamical systems: theory and numerics
  • A.R. Humphries, A.M. Stuart. Optimal investment problems and volatility homogenization approximations
  • M. Jonsson, R. Sircar. Image processing with partial differential equations
  • K. Mikula. Interface connections in domain decomposition methods
  • F. Nataf. A review of level set and fast marching methods for image processing
  • J.A. Sethian. Recent developments in the theory of front propagation and its applications
  • P.E. Souganidis. Computing finite-time singularities in interfacial flows
  • T.P. Witelski. Index.

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詳細情報

  • NII書誌ID(NCID)
    BA58939979
  • ISBN
    • 1402007817
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Dordrecht
  • ページ数/冊数
    xxii, 492 p.
  • 大きさ
    25 cm
  • 親書誌ID
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