Numerical Analysis in Modern Scientific Computing: An Introduction: 43 - Rilegato

Libro 27 di 55: Texts in Applied Mathematics

Deuflhard, Peter; Hohmann, Andreas

 
9780387954103: Numerical Analysis in Modern Scientific Computing: An Introduction: 43

Sinossi

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

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Dalla quarta di copertina

This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking-emphasizing long-living computational concepts over fast changing software issues. The guiding principle is to explain modern numerical analysis concepts applicable in complex scientific computing at much simpler model problems. For example, the two adaptive techniques in numerical quadrature elaborated here carry the germs for either exploration methods or multigrid methods in differential equations, which are not treated here. The presentation draws on geometrical intuition wherever appropriate, supported by large number of illustrations. Numerous exercises are included for further practice and improved understanding.

This text will appeal to undergraduate and graduate students as well as researchers in mathematics, computer science, science, and engineering. At the same time, it is addressed to practical computational scientists who, via self-study, wish to become acquainted with modern concepts of numerical analysis and scientific computing on an elementary level. The sole prerequisite is undergraduate knowledge in linear algebra and calculus.

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Altre edizioni note dello stesso titolo

9781441929907: Numerical Analysis in Modern Scientific Computing: An Introduction: 43

Edizione in evidenza

ISBN 10:  1441929908 ISBN 13:  9781441929907
Casa editrice: Springer, 2010
Brossura