2K6CE 705(D) COMPUTATIONAL METHODS AND OPERATIONAL RESEARCH

A. Computational methods in civil engineering
MODULE I (13 Hours)
Eigen value problems Examples of Eigen value problems in civil engineering- principal stress and strain- free vibration of multi degree of freedom systems- determination of Eigen values and Eigen vectors by power method and Jacobi’s method.
MODULE II (13 Hours)
Numerical differentiation and integration Numerical differentiation and integration using Newton’s and Gauss’ formula- maximum and minimum values of tabulated functions- Newton Cote’s integration formula- numerical integration using trapezoidal formula, Simpson’s formula – Gauss quadrature- development of computer algorithms for numerical integration. Numerical solution of partial differential equations solutions of elliptic, parabolic and hyperbolic equations
B. Operational research techniques
MODULE IV (13 Hours)
Introduction to operational research History of operational research- nature and scope of operational research- – mathematical formulation of the problem- graphical solution methods- allocation assignment and transportation problems
MODULE V (13 Hours)
Linear programming mathematical solution of L-P problems- matrix formulation of general linear programming problems-Simplex method- algorithm and computational procedures- Karmarkar’s method – two phase simplex method- problems of degeneracy- principles of duality in simplex method- sensitivity analysis.  

Reference Books

1.Hildebrand F.B, Introduction to Numerical Analysis, T.M.H
2. Gerald C. F, Applied Numerical Analysis, Addison Wesley
3. S.S. Sastry, Introductory methods of numerical analysis, P.H.I
4. Singiresu. S. Rao, Engineering optimization theory and practice, New age international.
5. R.L. Fox. Optimization methods for engineering design.
6. Taha.H A, Operational Research An Introduction, P.H.I