Finite volume methods for hyperbolic problems/ Randall J. LeVeque.
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.)
- 515.53 L657f
| Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
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Castorina Estantes Abertas (Open Shelves) | Livros (Books) | 515.35 L657f 2002 IMPA (Browse shelf(Opens below)) | 1 | Available | 39063000604184 |
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| 515.35 L614h 1955 IMPA Hyperbolic differential equations/ | 515.35 L614l 1981 IMPA Lagrangian analysis and quantum mechanics: a mathematical structure related to asymptotic expansions and the Maslov index/ | 515.35 L653n 2009 IMPA Nonlinear systems of partial differential equations: applications to life and physical sciences/ | 515.35 L657f 2002 IMPA Finite volume methods for hyperbolic problems/ | 515.35 L657f 2007 IMPA Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems/ | 515.35 L657n 1992 IMPA Numerical methods for conservation laws/ | 515.35 L657n 1992 IMPA Numerical methods for conservation laws/ |
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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