|aFinite difference methods for ordinary and partial differential equations :|bsteady-state and time-dependent problems /|cRandall J. LeVeque.
|aPhiladelphia, PA :|bSociety for Industrial and Applied Mathematics,|cc2007.
|axv, 341 p. :|bill. ;|c26 cm.
|aIncludes bibliographical references (p. 329-335) and index.
|aFinite difference approximations -- Steady states and boundary value problems -- Elliptic equations -- Iterative methods for sparse linear systems -- The initial value problem for ordinary differential equations -- Zero-stability and convergence for initial value problems -- Absolute stability for ordinary differential equations -- Stiff ordinary differential equations -- Diffusion equations and parabolic problems -- Addiction equations and hyperbolic systems -- Mixed equations -- Appendixes: A. Measuring errors -- B. Polynomial interpolation and orthogonal polynomials -- C. Eigenvalues and inner-product norms -- D. Matrix powers and exponentials -- E. Partial differential equations.