1.

Record Nr.

UNINA9910300149103321

Autore

Gander Walter

Titolo

Scientific Computing -  An Introduction using Maple and MATLAB / / by Walter Gander, Martin J. Gander, Felix Kwok

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-04325-0

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (XVIII, 905 p. 133 illus., 53 illus. in color.) : online resource

Collana

Texts in Computational Science and Engineering, , 1611-0994 ; ; 11

Disciplina

502.85

Soggetti

Computer mathematics

Algorithms

Computer software

Numerical analysis

Computational Mathematics and Numerical Analysis

Computational Science and Engineering

Mathematical Software

Numerical Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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”.