TY  - BOOK
AU  - Gander,Walter
AU  - Gander,Martin J.
AU  - Kwok,Felix
ED  - SpringerLink (Online service)
TI  - Scientific Computing - An Introduction using Maple and MATLAB
T2  - Texts in Computational Science and Engineering,
SN  - 9783319043258
AV  - QA71-90 
U1  - 518 23
PY  - 2014///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Computer mathematics
KW  - Algorithms
KW  - Computer software
KW  - Numerical analysis
KW  - Computational Mathematics and Numerical Analysis
KW  - Computational Science and Engineering
KW  - Mathematical Software
KW  - Numerical Analysis
N1  - 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
N2  - 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”
UR  - http://dx.doi.org/10.1007/978-3-319-04325-8
ER  -