The development of fast, efficient and inexpensive computers has significantly increased the range of engineering problems that can be solved reliably.
Computational techniques use computers to solve problems by step-wise, repeated and iterative solution methods, which would otherwise be tedious or unsolvable by hand-calculations.
This course is designed to give an overview of computational techniques of interest to process engineer. Understanding of computational techniques will be enhanced using several solved examples, which will be done using MS Excel. Since the focus is on the techniques themselves, rather than specific applications, the contents should be relevant to varied fields such as engineering, management, economics, etc.
S.No
Topics
No. of Hours
1
Introduction
Motivation and applications.
1
2
Computation and Error Analysis
Accuracy and precision; Truncation and round-off errors; Binary Number System; Error propagation.
2
3
Linear Systems and Equations
Matrix representation; Cramer's rule; Gauss Elimination; Matrix Inversion; LU Decomposition; Iterative Methods; Relaxation Methods; Eigen Values.
6
4
Algebraic Equations
Bracketing methods: Bisection, Reguli-Falsi; Open methods: Secant, Fixed point iteration, Newton-Raphson; Multivariate Newton’s method.
5
5
Regression and Curve Fitting
Linear regression; Least squares; Total Least Squares; Interpolation; Newton’s Difference Formulae; Cubic Splines.
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