01546nam a2200217 a 4500001001400000003000700014005001700021008004100038020003100079020002800110040000800138100002400146245014400170260007900314300003300393504006300426505069700489650002301186650002701209856009201236vtls000047044KUKTEM20251117150151.0100707t2007 paua f b 001 0 eng d a9780898716290 (alk. paper) a0898716292 (alk. paper) aUMP1 aLeVeque, Randall J.10aFinite 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 index0 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. 0aFinite differences 0aDifferential equations413Table of contents onlyuhttp://www.loc.gov/catdir/enhancements/fy0707/2007061732-t.html