Download e-book for iPad: A First Course in the Numerical Analysis of Differential by Arieh Iserles

By Arieh Iserles

Numerical research provides assorted faces to the realm. For mathematicians it's a bona fide mathematical concept with an appropriate flavour. For scientists and engineers it's a sensible, utilized topic, a part of the normal repertoire of modelling innovations. For computing device scientists it's a concept at the interaction of computing device structure and algorithms for real-number calculations. the stress among those standpoints is the driver of this e-book, which offers a rigorous account of the basics of numerical research of either usual and partial differential equations. The exposition continues a stability among theoretical, algorithmic and utilized elements. This re-creation has been greatly up-to-date, and comprises new chapters on rising topic components: geometric numerical integration, spectral tools and conjugate gradients. different themes coated comprise multistep and Runge-Kutta tools; finite distinction and finite parts suggestions for the Poisson equation; and various 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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