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Oscillation Theory, Computation, and Methods of Compensated Compactness

  • Conference proceedings
  • © 1986

Overview

Editors:
  1. Constantine Dafermos

    1. Division of Applied Mathematics, Brown University, Providence, USA

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  2. J. L. Ericksen

    1. School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

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  3. David Kinderlehrer

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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  4. Marshall Slemrod

    1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 2)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-ix
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  2. Convection of Microstructures by Incompressible and Slightly Compressible Flows

    • T. Chacon, O. Pironneau
    Pages 1-22

  3. Oscillations in Solutions to Nonlinear Differential Equations

    • Ronald J. DiPerna
    Pages 23-33

  4. Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation

    • M. Gregory Forest, Jong-Eao Lee
    Pages 35-69

  5. On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes

    • Ami Harten
    Pages 71-105

  6. On the Weak Convergence of Dispersive Difference Schemes

    • Peter D. Lax
    Pages 107-113

  7. Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws

    • Andrew Majda
    Pages 115-165

  8. On the Construction of a Modulating Multiphase Wavetrain for a Perturbed Kdv Equation

    • David W. McLaughlin
    Pages 167-195

  9. Evidence of Nonuniqueness and Oscillatory Solutions in Computational Fluid Mechanics

    • J. W. Nunziato, D. K. Gartling, M. E. Kipp
    Pages 197-228

  10. Very High Order Accurate TVD Schemes

    • Stanley Osher, Sukumar Chakravarthy
    Pages 229-274

  11. Convergence of Approximate Solutions to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants

    • Michel Rascle
    Pages 275-288

  12. Applications of the Theory of Compensated Compactness

    • M. E. Schonbek
    Pages 289-294

  13. A General Study of a Commutation Relation Given by L. Tartar

    • Denis Serre
    Pages 295-307

  14. Interrelationships among Mechanics Numerical Analysis, Compensated Compactness, and Oscillation Theory

    • M. Slemrod
    Pages 309-336

  15. The Solution of Completely Integrable Systems in the Continuum Limit of the Spectral Data

    • Stephanos Venakides
    Pages 337-355

  16. Stability of Finite-Difference Approximations for Hyperbolic Initial-Boundary-Value Problems

    • Robert F. Warming, Richard M. Beam
    Pages 357-379

  17. Construction of a Class of Symmetric TVD Schemes

    • H. C. Yee
    Pages 381-395

  18. Back Matter

    Pages 397-402
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Keywords

Editors and Affiliations

  • Division of Applied Mathematics, Brown University, Providence, USA

    Constantine Dafermos

  • School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

    J. L. Ericksen

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    David Kinderlehrer

  • Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    Marshall Slemrod

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