Numerical methods for evolutionary differential equations
Philadelphia
Society for Industrial and Applied Mathematics )siam(
2008
xiii, 395 p.: ill.; 26 cm.
Computational science and engineering; 5
Includes bibliographical references )p. 375-386( and index
Uri M. Ascher
1
2
Introduction -- Methods and concepts for ODEs -- Finite difference and finite volume methods -- Stability for constant coefficient problems -- Variable coefficient and nonlinear problems -- Hamiltonian systems and long time integration -- Dispersion and dissipation -- More on handling boundary conditions -- Several space variables and splitting methods -- Discontinuities and almost discontinuities -- Additional topic