Finite volume methods for hyperbolic problems/
Randall J. LeVeque.
- Cambridge, UK: New York: Cambridge University Press, 2002.
- xix, 558 p.: ill.; 26 cm.
- Cambridge texts in applied mathematics .
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 .