National University of Sciences and Technology
Home | Back
MATH-805 Computational Mathematics
Campus SNS
Programs PG
Session Fall Semester 2016
Course Title Computational Mathematics
Course Code MATH-805
Credit Hours 3-0
Course Objectives
Detail Content Introduction to Numerical Analysis, Solutions of Equations: (Bisection Method, Newton-Raphson Method etc., Error Analysis for Iterative Methods), Interpolation: (Lagrange and Divided Difference Interpolation, Spline Interpolation), Numerical Differentiation: (Difference Formulae, Error Analysis), Numerical Integration: (Trapezoidal and Simpson’s Rule, Error Analysis), Multiple Integration, Initial Value Problems for ODE’s: (Euler’s and Runge-Kutta Methods), Higher Order ODE’s, Error Analysis and Stability, Linear Systems of Equations: (Gauss Elimination, LU factorization), Gauss-Siedal Method, Error Analysis and Convergence. Eigenvalues: (Inclusion Theorems, Power Method), Boundary Value Problems for ODE’s: (Shooting Method), Numerical Solutions for PDE’s: (Elliptic PDEs., Irregular Boundries), Parabolic PDEs. Hyperbolic PDEs.
Text/Ref Books Textbook: Numerical Analysis (Fifth Edition)
Author: R. L. Burden and J. D. Faires
Publisher: PWS Publishing Company, Boston, 2000

Reference: Applied Numerical Analysis (Third Edition)
Author: C. F. Gerald and P. O. Wheatly
Publisher: Addison-Wesley Publishing Company, 1985
Time Schedule Fall Semester 2014
Faculty/Resource Person Dr. Yousaf Habib
PhD, Mathematics (Auckland, New Zealand)

Discipline: Computational Mathematics