Scientific Computing with MATLAB and Octave

• Main Authors: Quarteroni, Alfio (Author), Saleri, Fausto (Author), Gervasio, Paola (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Texts in Computational Science and Engineering, 2
• Subjects: Mathematics.; Computer mathematics.; Numerical analysis.; Physics.; Computational intelligence.; Computational Mathematics and Numerical Analysis.; Numerical Analysis.; Theoretical, Mathematical and Computational Physics.; Computational Science and Engineering.; Numerical and Computational Physics.; Computational Intelligence.

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approxim...

Table of Contents:

• What can’t be ignored
• Nonlinear equations
• Approximation of functions and data
• Numerical differentiation and integration
• Linear systems
• Eigenvalues and eigenvectors
• Ordinary differential equations
• Numerical approximation of boundary-value problems
• Solutions of the exercises.