01677nam a2200181 a 4500020002700000020003000027082001400057100002000071245007200091250001200163260004700175300001300222490004400235520107000279650004801349650002801397856007001425  a0521734908 (paperback)  a9780521734905 (paperback)  a518.6ISE	1 aIserles, Arieh.12aA First Course in the Numerical Analysis of Differential Equations   a2nd ed.  aLondonbCambridge University Press,c2008.  a477 p. ;1 aCambridge texts in applied mathematics.  aNumerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This new edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.  aDifferential equations--Numerical solutions  aDifferential equations	40uhttp://www.amazon.com/exec/obidos/ASIN/0521734908/chopaconline-20