Finite volume methods for hyperbolic problems Randall J. LeVeque
Publisher: Cambridge ; Cambridge University Press, 2002.
ISBN: 0511042191
DDC: 515.353
LCC: QA377
Edition: (electronic bk.)
Notes:
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.
Electronic reproduction.Boulder, Colo.: NetLibrary,2004.Available via
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