000 01723nam a2200205 a 4500
999 _c6714
_d6714
020 _a0521734908 (paperback)
020 _a9780521734905 (paperback)
082 _a518.6ISE
100 1 _aIserles, Arieh.
245 1 2 _aA First Course in the Numerical Analysis of Differential Equations
250 _a2nd ed.
260 _aLondon
_bCambridge University Press,
_c2008.
300 _a477 p. ;
490 1 _aCambridge texts in applied mathematics.
520 _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.
650 _aDifferential equations--Numerical solutions
650 _aDifferential equations
856 4 0 _uhttp://www.amazon.com/exec/obidos/ASIN/0521734908/chopaconline-20
942 _cBK