Scientific computing with MATLAB and Octave

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, approximate functions using polynomials and construct accurate approximations for the solution ofordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. Features a sound combination of problems, algorithms, programs, exercises, illustrations and numerical solutions Containsmore than 70 examples, 120 solved exercises and 35 Matlab and Octave programsEach chapter starts with the formulation of a few representative problems stemming from various fields of applications, continues with the construction andanalysis of algorithms, ad-hoc programs for their implementation INDICE: 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. Ordinary differential equations.- 8. Numerical approximation of boundary-value problems.- 9. Solutionsof the exercises.- References - Index

• ISBN: 978-3-642-12429-7
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 360
• Fecha Publicación: 01/06/2010
• Nº Volúmenes: 1
• Idioma: Inglés