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Modern Methods in Scientific Computing and Applications

  • Book
  • © 2002

Overview

Editors:
  1. Anne Bourlioux

    1. Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Canada

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  2. Martin J. Gander

    1. Department of Mathematics and Statistics, McGill University, Montréal, Canada

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  3. Gert Sabidussi

    1. Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Canada

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Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 75)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Computation of large-scale quadratic forms and transfer functions using the theory of moments, quadrature and Padé approximation

    • Zhaojun Bai, Gene Golub
    Pages 1-30

  3. Thin film dynamics: theory and applications

    • Andrea L. Bertozzi, Mark Bowen
    Pages 31-79

  4. Numerical turbulent combustion: an asymptotic view via an idealized test-case

    • Anne Bourlioux
    Pages 81-102

  5. Multigrid methods: from geometrical to algebraic versions

    • Gundolf Haase, Ulrich Langer
    Pages 103-153

  6. One-way operators, absorbing boundary conditions and domain decomposition for wave propagation

    • Laurence Halpern, Adib Rahmouni
    Pages 155-209

  7. Deterministic and random dynamical systems: theory and numerics

    • A. R. Humphries, A. M. Stuart
    Pages 211-254

  8. Optimal investment problems and volatility homogenization approximations

    • Mattias Jonsson, Ronnie Sircar
    Pages 255-281

  9. Image processing with partial differential equations

    • Karol Mikula
    Pages 283-321

  10. Interface connections in domain decomposition methods

    • Frédéric Nataf
    Pages 323-364

  11. A review of level set and fast marching methods for image processing

    • J. A. Sethian
    Pages 365-396

  12. Recent developments in the theory of front propagation and its applications

    • Panagiotis E. Souganidis
    Pages 397-449

  13. Computing finite-time singularities in interfacial flows

    • Thomas P. Witelski
    Pages 451-487

  14. Back Matter

    Pages 489-492
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Keywords

About this book

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.

Editors and Affiliations

  • Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Canada

    Anne Bourlioux, Gert Sabidussi

  • Department of Mathematics and Statistics, McGill University, Montréal, Canada

    Martin J. Gander

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