Scientific Computing - An Introduction using Maple and MATLAB

AvWalter Gander,Martin J. Gander

Häftad, Engelska, 2016

Del 11 i serien Texts in Computational Science and Engineering

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Beskrivning

Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

Produktinformation

Utgivningsdatum:2016-10-01
Mått:155 x 235 x 47 mm
Vikt:1 551 g
Format:Häftad
Språk:Engelska
Serie:Texts in Computational Science and Engineering
Antal sidor:905
Förlag:Springer International Publishing AG
ISBN:9783319381589

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Recensioner i media

From the book reviews: "This is an elaborate book on fundamental numerical methods including numerical ordinary differential equations and optimization. ... All chapters are organized in the same nice way by beginning with an introductary example and ending with a large number of exercises. The presentation of the material is reader orientated such that e.g. a student can learn directly from the book. Many details are given and special attention lies on various numerical calculations which enlight the performance of the respective algorithms." (Rolf Dieter Grigorieff, zbMATH, Vol. 1296, 2014)

Innehållsförteckning

Why Study Scientific Computing?.- Finite Precision Arithmetic.- Linear Systems of Equations.- Interpolation.- Nonlinear Equations.-Least Squares Problems.- Eigenvalue Problems.- Differentiation.- Quadrature.- Numerical Ordinary Differential Equations.- Iterative Methods for Linear Systems.- Optimization.- Bibliography.- Index.