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First Course in the Numerical Analysis of Differential Equations

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First Course in the Numerical Analysis of Differential Equations

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First Course in the Numerical Analysis of Differential Equations
Arieh Iserles

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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.
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  • Editie:PDF met Adobe DRM  Meer informatie
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  • ISBN: 9780511500619
  • Auteur: Arieh Iserles
  • Uitgave: Cambridge University Press
  • Jaar van uitgave: 2008
  • Taal: Engels
  • Artikelnummer: 61018143
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€ 43,61
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