First Course in the Numerical Analysis of Differential Equations (eBook)

Arieh Iserles (Autor)

eBook Download: EPUB

2008
Cambridge University Press (Verlag)
978-1-139-63656-8 (ISBN)

Infos

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 second 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.

Produkt-Details

• Erscheint lt. Verlag: 27.11.2008
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 1-139-63656-1 / 1139636561
• ISBN-13: 978-1-139-63656-8 / 9781139636568