TY - BOOK AU - LeVeque,Randall J. TI - Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems SN - 9780898716290 (alk. paper) U1 - 515.35 22 PY - 2007/// CY - Philadelphia, PA PB - Society for Industrial and Applied Mathematics KW - Finite differences KW - Differential equations N1 - Includes bibliographical references (p. 329-335) and index; Finite 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 UR - http://www.loc.gov/catdir/enhancements/fy0707/2007061732-t.html UR - http://www.loc.gov/catdir/enhancements/fy0707/2007061732-d.html UR - http://www.loc.gov/catdir/enhancements/fy0708/2007061732-b.html ER -