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The book is designed to cover all major aspects of applied numerical methods, including numerical computations, solution of algebraic and transcendental equations, finite differences and interpolation, curve fitting, correlation and regression, numerical differentiation and integration, matrices and linear system of equations, numerical solution of ordinary differential equations, and numerical solution of partial differential equations. MATLAB is incorporated throughout the text and most of the problems are executed in MATLAB code. It uses a numerical problem-solving orientation with numerous examples, figures, and end of chapter exercises. Presentations are limited to very basic topics to serve as an introduction to more advanced topics.
Features:
- Integrates MATLAB throughout the text
- Includes over 600 fully-solved problems with step-by-step solutions
- Limits presentations to basic concepts of solving numerical methods
R. V. Dukkipati is a Professor and Chair of Mechanical Engineering at Fairfield University, as well as a consultant in the field of road vehicle accident reconstruction. He is a member of the Connecticut Academy of Sciences and Engineering (CASE), and a Fellow of both the American Society of Mechanical Engineers (ASME) and the Canadian Society for Mechanical Engineers (CSME).
2: Linear System of Equations
3: Solution of Algebraic and Transcendental Equations
4: Numerical Differentiation
5: Finite Differences and Interpolation
6: Curve Fitting, Regression, and Correlation
7: Numerical Integration
8: Numerical Solution of Ordinary Differential Equations
9: Direct Numerical Integration Methods
10: MATLAB Basics
11: Optimization
12: Partial Differential Equations
Appendices:
A. Answers to Selected Problems
B. Bibliography
C. Partial Fraction Expansions
D. Basic Engineering Mathematics
E. Cramer’s Rule
F. MATLAB Built-In Functions
G. MATLAB M-File Functions
Index