Title | Numerical Mathematics and Advanced Applications [electronic resource] : Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, July 2001 / edited by Franco Brezzi, Annalisa Buffa, Stefania Corsaro, Almerico Murli |
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Imprint | Milano : Springer Milan : Imprint: Springer, 2003 |

Connect to | http://dx.doi.org/10.1007/978-88-470-2089-4 |

Descript | XXIV, 996 p. online resource |

SUMMARY

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 computerยญ aided diagnosis and operations in medical applications (which involve often comยญ 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 knowยญ 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 applicaยญ 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

CONTENT

Flow Problems -- Electromagnetic Problems -- Elasticity and Structures -- Numerical Problems in Finance -- Numerical Methods for kinetic Equations -- Singular Free Boundary Problems -- Other Applications -- A Posteriori Estimates and Adaptivity -- Discontinuous Galerkin Finite Element Methods -- Domain Decomposition Methods -- ODE, IDE, and Related Problems -- Numerical Linear Algebra

Mathematics
Mathematical analysis
Analysis (Mathematics)
Applied mathematics
Engineering mathematics
Computer mathematics
Mathematics
Analysis
Applications of Mathematics
Computational Mathematics and Numerical Analysis