Week 13: Numerical solution of a system of linear equations Direct methods: Gaussian elimination method
Numerical solution of a system of linear equations
Direct methods: Gaussian elimination method
Course Material
- Week 01: 1. Error analysis: Floating point arithmetic, Approximations and errors
- week 03: Bisection method, regula-falsi method
- Week 02: Methods for the solution of nonlinear equations
- Week 04: Newton-Raphson method, secant method, error analysis for iterative methods
- Week 05: Interpolation and polynomial approximation
- Week 06: Forward, backward and centered difference formulae,
- Week 07: Lagrange interpolation, Newton’s divided difference formula
- Week 08: Interpolation with a cubic spline, Hermite interpolation, least squares approximation.
- Week 09: Mid Terms
- Week 10: Numerical differentiation and Integration: Forward, backward and central difference formulae
- Week 11: Richardson’s extrapolation, Newton-Cotes formulae, Numerical integration Rectangular rule, trapezoidal rule, Simpson’s 1/3 and 3/8 rules
- Week 12: Boole’s and Weddle’s rules, Gaussian quadrature
- Week 13: Numerical solution of a system of linear equations Direct methods: Gaussian elimination method
- Week 14: Gauss-Jordan method; matrix inversion; LU-factorization
- Week 15: Doolittle’s, Crout’s and Cholesky’s methods
- Week 16: Iterative methods: Jacobi, Gauss-Seidel and SOR
- Week 17: Eigen values problems Introduction, Power Method, Jaccobi's Method.
- Week 18: Final Terms
- Chapters 18
- Department Mathematics
- Teacher
Dr. Muhammad Faheem Khan
