CE 601 NUMERICAL METHODS
Numerical methods is a mathematical course for engineers and scientists designed to solve various engineering and natural problems. The various scientific phenomena in nature and man-made events can be mathematically modeled using equations and expressions. To engineer these phenomena, one may have to solve these mathematical models by - analytical, graphical, or approximations. Numerical methods is that branch that deals with the approximate solution formations of various mathematical models.
Course Syllabus Tutorials/Assignments
Lecture Schedule Solved Examples
Lecture Presentations/Notes
Sl.No | Lectures | Sl.No | Lectures |
1 | Lecture 1 (24/07/2012) - Introduction to Numerical Methods | 2 | Lecture 2 (25/07/2012) - System of Linear Equations |
3 | Lecture 3 (30/07/2012) - System of Linear Equations-2 | 4 | Lecture 4 (31/07/2012) - Gauss Elimination Method |
5 | Lecture 5 (01/08/2012) - Gauss-Jordan Method | 6 | Lecture 6 (06/08/2012) - LU Decomposition |
7 | Lecture 7 (07/08/2012) - Banded Matrices and Thomas Algorithm | 8 | Lecture 8 (08/08/2012) - Drawbacks of Elimination Methods |
9 | Lecture 9 (13/08/2012) - Iterative Methods | 10 | Lecture 10 (14/08/2012) - Successive Over-Relax, Eigen Values & Vectors |
11 | Lecture 11 (21/08/2012) - To formulate Eigen Problems | 12 | Lecture 12 (22/08/2012) - Power Method, Inverse Power, Shifted Power |
13 | Lecture 13 (23/08/2012) - Fadeev-Leverrier Method, Similarity Transformations | 14 | Lecture 14 (27/08/2012) - Solution of Non-linear Equations |
15 | Lecture 15 (28/08/2012) - Regula-Falsi, Fixed-point Iteration | 16 | Lecture 16 (30/08/2012) - Newton's Method, Order of Convergence |
17 | Lecture 17 (03/09/2012) - Secant Method, Muller's Method, Polynomials as Non-linear functions | 18 | Lecture 18 (04/09/2012) - Newton's Method for Simple Roots, Multiple Roots |
19 | Lecture 19 (05/09/2012) - Solution of System of Non-linear Equations | 20 | Lecture 20 (10/09/2012) - Polynomial Approximations |
21 | Lecture 21 (11/09/2012) - Divided Difference Polynomial, Newton's Forward Difference Polynomial | 22 | Lecture 22 (12/09/2012) - Newton's Difference Polynomials, Inverse Interpolation |
23 | Lecture 23 (24/09/2012) - Multivariate Polynomial Approximation, Cubic Splines. | 24 | Lecture 24 (26/09/2012) - Cubic Splines. |
25 | Lecture 25 (28/09/2012) - Method of Least Squares. | 26 | Lecture 26 (01/10/2012) - Numerical Differentiation using Polynomial Approximations |
27 | Lecture 27 (03/10/2012) - Difference Formulas using Newton's Polynomials | 28 | Lecture 28 (04/10/2012) - Difference Formulas |
29 | Lecture 29 (08/10/2012) - Numerical Integration - Introduction | 30 | Lecture 30 (09/10/2012) - Numerical Integration - Simpson's Rule |
31 | Lecture 31 (15/10/2012) - Gaussian Quadrature | 32 | Lecture 32 (16/10/2012) - Ordinary Differential Equations - Introduction |
33 | Lecture 33 (17/10/2012) - Finite-Difference Method for Initial Value -ODE (Part-1) | 34 | Lecture 34 (19/10/2012) - FDM for IV-ODE: Modified Euler Method; Runge-Kutta Method |
35 | Lecture 35 (29/10/2012) - Runge-Kutta Method; Multi-point Methods | 36 | Lecture 36 (30/10/2012) - Multi-point Methods; Boundary Value-ODE |
37 | Lecture 37 (31/10/2012) - BV-ODE: Dirichlet and Neuman BCs | 38 | Lecture 38 (02/11/2012) - Partial Differential Equations |
39 | Lecture 39 (03/11/2012) - Elliptic Partial Differential Equations | 40 | Lecture 40 (05/11/2012) - Parabolic Partial Differential Equations |
41 | Lecture 41 (06/11/2012) - Hyperbolic Partial Differential Equations | 42 | Lecture 42 (07/11/2012) - Introduction to FEM |
43 | Lecture 43 (12/11/2012) - Rayleigh-Ritz; Collocation Methods | 44 | Lecture 44 (14/11/2012) - Galerkin Weighted Residual; The FEM; Course Conclusion |