Modern methods in scientific computing and applications
著者
書誌事項
Modern methods in scientific computing and applications
（NATO science series, Series II . Mathematics,
Kluwer Academic, c2002
- タイトル別名
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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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