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Singularly Perturbed Boundary-Value Problems

  • Book
  • © 2007

Overview

Authors:
  1. Luminiţa Barbu

    1. Department of Mathematics and Informatics, Ovidius University, Constanta, Romania

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    You can also search for this author in PubMed   Google Scholar

  2. Gheorghe Moroşanu

    1. Department of Mathematics and Its Applications, Central European University, Budapest, Hungary

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    You can also search for this author in PubMed   Google Scholar

  • Interdisciplinary relevant work
  • Special methods and tools are presented, which allow easier handling of non-linear and other mathematical models
  • Includes supplementary material: sn.pub/extras

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 156)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Preliminaries

    1. Front Matter

      Pages 1-1
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    2. Regular and Singular Perturbations

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 3-15

    3. Evolution Equations in Hilbert Spaces

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 17-34

  3. Singularly Perturbed Hyperbolic Problems

    1. Front Matter

      Pages 35-35
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    2. Presentation of the Problems

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 37-41

    3. Hyperbolic Systems with Algebraic Boundary Conditions

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 43-64

    4. Hyperbolic Systems with Dynamic Boundary Conditions

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 65-110

  4. Singularly Perturbed Coupled Boundary Value Problems

    1. Front Matter

      Pages 111-111
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    2. Presentation of the Problems

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 113-116

    3. The Stationary Case

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 117-142

    4. The Evolutionary Case

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 143-177

  5. Elliptic and Hyperbolic Regularizations of Parabolic Problems

    1. Front Matter

      Pages 179-179
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    2. Presentation of the Problems

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 181-183

    3. The Linear Case

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 185-208

    4. The Nonlinear Case

      • Luminiţa Barbu, Gheorghe Moroşanu
      Pages 209-226

  6. Back Matter

    Pages 227-231
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Keywords

Authors and Affiliations

  • Department of Mathematics and Informatics, Ovidius University, Constanta, Romania

    Luminiţa Barbu

  • Department of Mathematics and Its Applications, Central European University, Budapest, Hungary

    Gheorghe Moroşanu

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