Numerical methods for chemical engineers with MATLAB applications
著者
書誌事項
Numerical methods for chemical engineers with MATLAB applications
（Prentice-Hall international series in the physical and chemical engineering sciences）
Prentice Hall PTR, 1999
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注記
Includes index
内容説明・目次
内容説明
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.
Over 60+ MATLAB examples, methods, and function scripts are covered, and all of them are included on the book's CD
目次
General Algorithm for the Software Developed in This Book.
Programs on the website.
1. Numerical Solution of Nonlinear Equations.
2. Numerical Solution of Simultaneous Linear Algebraic Equations.
3. Finite Difference Methods and Interpolation.
4. Numerical Differentiation and Integration.
5. Numerical Solution of Ordinary Differential Equations.
6. Numerical Solution of Partial Differential Equations.
7. Linear and Nonlinear Regression Analysis.
Appendix: Introduction to MATLAB.
Index.
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