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Modern Methods in Scientific Computing and Applications
- Author / Creator
- Available as
- Online
- Summary
-
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 film...
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.
Details
- Creator
- edited by Anne Bourlioux, Martin J. Gander, Gert Sabidussi
- Format
- Books
- Language
- English
- Contributors
- Publication
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- Dordrecht : Springer Netherlands : 2002
- [Place of publication not identified] : Imprint : Springer, 2002
- Physical Details
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- 1 online resource (516 pages)
- ISBNs
- 9789401005104, 9401005109, 9781402007828, 1402007825, 1402007817, 9781402007811, 9781402007828
- OCLC
- ocn840307573
- Preface -- Key to group picture -- Participants -- Contributors -- Computation of large-scale quadratic forms and transfer functions using the theory of moments, quadrature and Padé approximation -- Thin film dynamics: theory and applications -- Numerical turbulent combustion: an asymptotic view via an idealized test-case -- Multigrid methods: from geometrical to algebraic versions -- one-way operators, absorbing boundary conditions and domain decomposition for wave propagation -- Deterministic and random dynamical systems: theory and numerics -- Optimal investment problems and volatility homogenization approximations -- Image processing with partial differential equations -- Interface connections in domain decomposition methods -- A review of level set and fast marching methods for image processing -- Recent developments in the theory of front propagation and its applications -- Computing finite-time singularities in interfacial flows -- Index