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 : Imprint: Springer, 2014.
• Edition: 4th ed. 2014.
• Series: Texts in Computational Science and Engineering, 2
• Subjects: Mathematics.; Chemistry, Physical and theoretical.; Computer mathematics.; Visualization.; Physics.; Computational intelligence.; Computational Science and Engineering.; Numerical and Computational Physics.; Computational Intelligence.; Theoretical and Computational Chemistry.

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, the extrema, and the integrals of continuous functions, solve linear sy...

Table of Contents:

• 1. What can' t be ignored
• 2. Nonlinear equations
• 3. Approximation of functions and data
• 4. Numerical differentiation and integration
• 5. Linear systems
• 6. Eigenvalues and eigenvectors
• 7. Numerical optimization
• 8. Ordinary differential equations
• 9. Numerical approximation of boundary-value problems
• 10. Solutions of the exercises
• References
• Index.