Mathematical Analysis

A First Course in the Numerical Analysis of Differential - download pdf or read online

By Arieh Iserles

ISBN-10: 0521553768

ISBN-13: 9780521553766

ISBN-10: 0521556554

ISBN-13: 9780521556552

Numerical research provides varied faces to the realm. For mathematicians it's a bona fide mathematical thought with an acceptable flavour. For scientists and engineers it's a sensible, utilized topic, a part of the traditional repertoire of modelling recommendations. For laptop scientists it's a thought at the interaction of machine structure and algorithms for real-number calculations. the stress among those standpoints is the driver of this ebook, which offers a rigorous account of the basics of numerical research of either usual and partial differential equations. The exposition keeps a stability among theoretical, algorithmic and utilized elements. This re-creation has been widely up-to-date, and contains new chapters on rising topic parts: geometric numerical integration, spectral tools and conjugate gradients. different subject matters lined contain multistep and Runge-Kutta tools; finite distinction and finite parts strategies for the Poisson equation; and quite a few algorithms to resolve huge, sparse algebraic systems.

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A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics) by Arieh Iserles

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