Finite volume methods for hyperbolic problems/
LeVeque, Randall J., 1955-
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 .
0521810876 0521009243 (pbk.)
00105264
GBA2-54895
Differential equations, Hyperbolic---Numerical solutions.
Finite volume method.-
515.53 / L657f
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 .
0521810876 0521009243 (pbk.)
00105264
GBA2-54895
Differential equations, Hyperbolic---Numerical solutions.
Finite volume method.-
515.53 / L657f