M Tech (Computer Science and Applications):Numerical and Scientific ComputingThapar University
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Frequent Asked Questions
Admission to M. Tech. (Computer Science and Applications) will be open to a candidate who obtains at least 50% marks in aggregate in the qualifying examination from a recognized university.
Advanced Data Structures
Data Communication and Computer Networks
Computer Organization and Operating Systems
Computational Algorithms in Optimization
Statistical Methods and Algorithms
Database Management and Administration
Object Oriented Analysis and Design
Logic and its applications
Computer Graphics and Multimedia Technologies
Web Technologies and E-Governance
Numerical and Scientific Computing
Introduction : Introduction to scientific computing with the understanding of various data structures and storages schemes.
Nonlinear Equations and Nonlinear Systems: Review of iterative methods for non linear equation, Birge-Vieta and Graeffe’s method for polynomial equations, Iteration and Newton-Raphson methods for non-linear system of equations,
Linear System of Equations: Review of iterative methods, successive over relaxation method with optimal relaxation parameters, bound(s) on eigen frequencies, Given’s and Rutishauser methods
Interpolation and Approximations: Bivariate interpolation, least squares approximation. Cubic spline and B-splines and applications.
Ordinary Differential Equations: Predictor-corrector method, Use of spline to solve differential equation, Finite difference method for boundary value problems
Partial Differential Equations:
Parabolic: Explicit, fully implicit, Crank –Nicholson methods for one-dimensional equations, Discussion of their compatibility, Stability and convergence
Elliptic: Finite difference replacements and reduction to block tridiagonal form and its solution, Diritchlet and Neumann boundary conditions, Treatment of curved boundaries, Solution by A.D.I. method.
Hyperbolic: Finite difference methods using rectangular and characteristics grids
Finite Element Method: Introduction to FEM, FEM for Laplace and Possion equations
Laboratory: Throughout the course implementation of the various methods and their comparisons with professionally written softwares