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Numerical Mathematics and Advanced Applications

Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, July 2001

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Franco Brezzi

    1. e Tecnologie Informatiche IMATI-CNR, Università di Pavia and Istituto di Matematica Applicata, Pavia, Italy

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  2. Annalisa Buffa

    1. e Tecnologie Informatiche IMATI-CNR, Istituto di Matematica Applicata, Pavia, Italy

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  3. Stefania Corsaro

    1. e Reti ad Alte Prestazioni ICAR-CNR, Istituto per il Calcolo, Napoli, Italy

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  4. Almerico Murli

    1. e Reti ad Alte Prestazioni ICAR-CNR, Università di Napoli and Istituto per il Calcolo, Napoli, Italy

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  • Contains major lectures given at ENUMATH 2001, the 4th European Conference on Numerical Mathematics and Advanced Applications
  • Invaluable instrument for getting a wide range perspective together with a deep insight into the latest and newest developments in Mathematical aspects of Scientific Computing

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About this book

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.

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Table of contents (90 papers)

  1. Front Matter

    Pages I-XXIV
    Download chapter PDF

  2. Flow Problems

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations

      • M. Discacciati, A. Quarteroni
      Pages 3-20

    3. Residual-free bubbles for a singular perturbation equation

      • M. I. Asensio, L. P. Franca, A. Russo
      Pages 21-34

    4. High-order IMEX-RK finite volume methods for multidimensional hyperbolic systems

      • E. Bertolazzi, G. Manzini
      Pages 35-44

    5. High-order central WENO schemes for 1D Hamilton-Jacobi equations

      • S. Bryson, D. Levy
      Pages 45-54

    6. Asymptotic analysis of coupled problems for compressible flows

      • C. A. Coclici, J. Heiermann, Gh. Moroşanu, W. L. Wendland
      Pages 55-64

    7. On the discontinuous Galerkin method for the numerical solution of compressible high-speed flow

      • V. Dolejší, M. Feistauer
      Pages 65-83

    8. Comparison of two conservative schemes for hyperbolic interface problems

      • R. Fazio
      Pages 85-93

    9. Adaptive numerical flow simulation

      • J. Felcman
      Pages 95-102

    10. Flood modelling using mixed-hybrid finite elements

      • M. Hokr, J. Maryška, R. Smetana
      Pages 103-109

    11. High-order relaxation methods for incompressible Navier-Stokes equations

      • A. Klar, M. Seaïd
      Pages 111-121

    12. New nonconforming finite elements for solving the incompressible Navier-Stokes equations

      • P. Knobloch
      Pages 123-132

    13. Explicit and implicit high-resolution finite element schemes based on the flux-corrected-transport algorithm

      • D. Kuzmin, S. Turek
      Pages 133-143

    14. Genuinely multidimensional evolution Galerkin schemes for the shallow water equations

      • M. Lukáčová-Medvid’ová, J. Saibertová
      Pages 145-154

    15. Mixed-hybrid FEM discrete fracture network model of the fracture flow

      • J. Maryška, O. Severýn, M. Vohralík
      Pages 155-164

    16. Numerical evaluation of FEM with application to the 1D advection-diffusion problem

      • G. Sangalli
      Pages 165-172

    17. Numerical simulation of interfacial flows

      • A. Smolianski
      Pages 173-178

    18. A family of finite difference schemes for the convection-diffusion equation in two dimensions

      • E. Sousa, I. Sobey
      Pages 179-188

    19. An unstructured staggered scheme for the Navier—Stokes equations

      • I. Wenneker, G. Segal, P. Wesseling
      Pages 189-197
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Editors and Affiliations

  • e Tecnologie Informatiche IMATI-CNR, Università di Pavia and Istituto di Matematica Applicata, Pavia, Italy

    Franco Brezzi

  • e Tecnologie Informatiche IMATI-CNR, Istituto di Matematica Applicata, Pavia, Italy

    Annalisa Buffa

  • e Reti ad Alte Prestazioni ICAR-CNR, Istituto per il Calcolo, Napoli, Italy

    Stefania Corsaro

  • e Reti ad Alte Prestazioni ICAR-CNR, Università di Napoli and Istituto per il Calcolo, Napoli, Italy

    Almerico Murli

Bibliographic Information

  • Book Title: Numerical Mathematics and Advanced Applications

  • Book Subtitle: Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, July 2001

  • Editors: Franco Brezzi, Annalisa Buffa, Stefania Corsaro, Almerico Murli

  • DOI: https://doi.org/10.1007/978-88-470-2089-4

  • Publisher: Springer Milano

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Italia 2003

  • Hardcover ISBN: 978-88-470-0180-0Published: 30 April 2003

  • Softcover ISBN: 978-88-470-2167-9Published: 15 November 2012

  • eBook ISBN: 978-88-470-2089-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XXIV, 996

  • Topics: Analysis, Applications of Mathematics, Computational Mathematics and Numerical Analysis

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