Modern Methods in Scientific Computing and Applications

Softcover Nachdruck of the original 1. Auflage 2002
ISBN: 978-1-4020-0782-8
Verlag: Springer Netherlands

Buch, Englisch, Band 75, 492 Seiten, Paperback, Format (B × H): 160 mm x 240 mm, Gewicht: 1580 g

Reihe: NATO Science Series II: Mathematics, Physics and Chemistry

When we first heard in the spring of 2000 that the Seminaire de matMmatiques superieures (SMS) was interested in devoting its session of the summer of 200l-its 40th-to scientific computing the idea of taking on the organizational work seemed to us somewhat remote. More immediate things were on our minds: one of us was about to go on leave to the Courant Institute, the other preparing for a research summer in Paris. But the more we learned about the possibilities of such a seminar, the support for the organization and also the great history of the SMS, the more we grew attached to the project. The topics we planned to cover were intended to span a wide range of theoretical and practical tools for solving problems in image processing, thin films, mathematical finance, electrical engineering, moving interfaces, and combustion. These applications alone show how wide the influence of scientific computing has become over the last two decades: almost any area of science and engineering is greatly influenced by simulations, and the SMS workshop in this field came very timely. We decided to organize the workshop in pairs of speakers for each of the eight topics we had chosen, and we invited the leading experts worldwide in these fields. We were very fortunate that every speaker we invited accepted to come, so the program could be realized as planned.

Zielgruppe

Research

Autoren/Hrsg.

Bourlioux, Anne

Gander, Martin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik EDV | Informatik Informatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.