E-Book Overview
Scientific computing is a fast growing and fast changing area whose applications to various branches of science, engineering, medicine, economics (and others) are increasing in number and relevance every day. There are two main reasons (among others) that make scientific computing change so rapidly. One is the increasing number of different research areas beginning to make use of numerical simulation: from nanotechnology to genomics, from computer aided diagnosis and operations in medical applications (which involve often com plete simulations of parts of the human body) to economics and finance. Each new application, and each new aspect of earlier applications, draws heavily on the know how that has been acquired on other problems with similar mathematical features. It has to be pointed out that the lofty perspective of mathematics succeeds quite often in finding connections among very different phenomena, that tum out in the end to share the same mathematical and numerical structure. In tum, new applica tions contribute to the cross-fertilization by "sending back" new interpretations and suggestions which are often useful in more classical applications. All this creates a resonance effect that contributes greatly to the growth rate of the whole field.
E-Book Information
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Year: 2,003
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Edition: 1
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Pages: 996
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Pages In File: 980
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Language: English
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Identifier: 978-88-470-2167-9,978-88-470-2089-4
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Doi: 10.1007/978-88-470-2089-4
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Cleaned: 1
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Orientation: 1
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Paginated: 1
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Org File Size: 48,702,959
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Extension: pdf
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Tags:
Analysis
Applications of Mathematics
Computational Mathematics and Numerical Analysis
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Toc: Front Matter....Pages I-XXIV Front Matter....Pages 1-1 Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations....Pages 3-20 Residual-free bubbles for a singular perturbation equation....Pages 21-34 High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems....Pages 35-44 High-order central WENO schemes for 1D Hamilton-Jacobi equations....Pages 45-54 Asymptotic analysis of coupled problems for compressible flows....Pages 55-64 On the discontinuous Galerkin method for the numerical solution of compressible high-speed flow....Pages 65-83 Comparison of two conservative schemes for hyperbolic interface problems....Pages 85-93 Adaptive numerical flow simulation....Pages 95-102 Flood modelling using mixed-hybrid finite elements....Pages 103-109 High-order relaxation methods for incompressible Navier-Stokes equations....Pages 111-121 New nonconforming finite elements for solving the incompressible Navier-Stokes equations....Pages 123-132 Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport algorithm....Pages 133-143 Genuinely multidimensional evolution Galerkin schemes for the shallow water equations....Page