A Iserles, Arieh. creator text London Cambridge University Press 2008 2nd ed. monographic 477 p. ; Numerical 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. Differential equations--Numerical solutions Differential equations 518.6ISE 0521734908 (paperback) 9780521734905 (paperback) http://www.amazon.com/exec/obidos/ASIN/0521734908/chopaconline-20 http://www.amazon.com/exec/obidos/ASIN/0521734908/chopaconline-20