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Finite volume methods for hyperbolic problems/ Randall J. LeVeque.

By: Series: Cambridge texts in applied mathematicsPublication details: Cambridge, UK: New York: Cambridge University Press, 2002.Description: xix, 558 p.: ill.; 26 cmISBN:
  • 0521810876
  • 0521009243 (pbk.)
Subject(s): DDC classification:
  • 515.53 L657f
Online resources:
Contents:
Conservation laws and differential equations -- Characteristics and Riemann problems for linear hyperbolic equations -- Finite-volume methods -- Introduction to the CLAWPACK software -- High resolution methods -- Boundary conditions and ghost cells -- Convergence, accuracy, and stability -- Variable-coefficient linear equations -- Other approaches to high resolution -- Nonlinear scalar conservation laws -- Finite-volume methods for nonlinear scalar conservation laws -- Nonlinear systems of conservation laws -- Gas dynamics and the Euler equations -- Finite-volume methods for nonlinear systems -- Some nonclassical hyperbolic problems -- Source terms and balance laws -- Multidimensional hyperbolic problems -- Multidimensional numerical methods -- Multidimensional scalar equations -- Multidimensional systems -- Elastic waves -- Finite-volume methods on quadrilateral grids .
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Holdings
Item type Current library Collection Call number Copy number Status Date due Barcode
Books Books Castorina Estantes Abertas (Open Shelves) Livros (Books) 515.35 L657f 2002 IMPA (Browse shelf(Opens below)) 1 Available 39063000604184

Includes bibliographical references (p. 535-552) and index.

Conservation laws and differential equations -- Characteristics and Riemann problems for linear hyperbolic equations -- Finite-volume methods -- Introduction to the CLAWPACK software -- High resolution methods -- Boundary conditions and ghost cells -- Convergence, accuracy, and stability -- Variable-coefficient linear equations -- Other approaches to high resolution -- Nonlinear scalar conservation laws -- Finite-volume methods for nonlinear scalar conservation laws -- Nonlinear systems of conservation laws -- Gas dynamics and the Euler equations -- Finite-volume methods for nonlinear systems -- Some nonclassical hyperbolic problems -- Source terms and balance laws -- Multidimensional hyperbolic problems -- Multidimensional numerical methods -- Multidimensional scalar equations -- Multidimensional systems -- Elastic waves -- Finite-volume methods on quadrilateral grids .

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