Master numerical methods using MATLAB, today's leading software for problem solving
This complete guide to numerical methods in chemical engineering is the first to take full advantage of MATLAB's powerful calculation environment. Every chapter contains several examples using general MATLAB functions that implement the method and can also be applied to many other problems in the same category.
The authors begin by introducing the solution of nonlinear equations using several standard approaches, including methods of successive substitution and linear interpolation; the Wegstein method, the Newton-Raphson method; the Eigenvalue method; and synthetic division algorithms. With these fundamentals in hand, they move on to simultaneous linear algebraic equations, covering matrix and vector operations; Cramer's rule; Gauss methods; the Jacobi method; and the characteristic-value problem. Additional coverage includes:
Finite difference methods, and interpolation of equally and unequally spaced points
Numerical differentiation and integration, including differentiation by backward, forward, and central finite differences; Newton-Cotes formulas; and the Gauss Quadrature
Two detailed chapters on ordinary and partial differential equations
Linear and nonlinear regression analyses, including least squares, estimated vector of parameters, method of steepest descent, Gauss-Newton method, Marquardt Method, Newton Method, and multiple nonlinear regression
The numerical methods covered here represent virtually all of those commonly used by practicing chemical engineers. The focus on MATLAB enables readers to accomplish more, with less complexity, than was possible with traditional FORTRAN. For those unfamiliar with MATLAB, a brief introduction is provided as an Appendix.
The accompanying website contains MATLAB 5.0 (and higher) source code for more than 60 examples, methods, and function scripts covered in the book. These programs are compatible with all three operating systems: Windows(r), MacOS(r), and UNIX(r).
A textbook for a one-semester graduate or advanced undergraduate course, which marks the advanced material in each chapter that can be left out of an undergraduate course. Assumes a working knowledge of the computer language, but appends a brief introduction. Emphasizes the derivation of a variety of numerical methods and their application in solving chemical engineering problems. The algorithms encompass linear and nonlinear algebraic equations, eigenvalue problems, finite difference methods, and other tools. The CD-ROM can run under any of the three major operating systems, and contains MATLAB source code for over 60 examples from the book. Annotation c. Book News, Inc., Portland, OR (booknews.com)