April
| Monday | Tuesday | Wednesday | Thursday | Friday |
| 2 | 3 Classes start:
Lagrange Polynomial |
4 | 5 | |
| 8 Assignment No.1 due Cubic Spline, Finite Difference. |
9 | 10 Finite Difference formulae, Pade Approximations |
11 | 12 |
| 15 Assignment No.2 due Modified Wave Number, Finite difference form for non-uniform mesh spacing Trapezoidal, rectangular and Simpson rule, error analysis |
16 | 17 Trapzoidal rule with end correction, Richardson extrapolation, Romberg integration |
18 | 19 |
| 22 Assignment No.3 due Adaptive quadrature, Gauss quadrature |
23 | 24 Gauss Quadrature, remedies for singularities in integrand Numerical solution of ODE's, Euler's method, different classes of solution methods |
25 | 26 |
| 29Assignment
No.4 due Stability Analysis of Numerical Schemes, Implicit Euler |
30 |
May
| Monday | Tuesday | Wednesday | Thursday | Friday |
| 1 Amplitude and Phase Error, Trapezoidal method, predictor and corrector methods, 2nd order Runge Kutta methods |
2 | 3 |
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| 6 Assignment No.5 due General form of Runge Kutta
Methods, 2nd order R-K method, stability and accuracy,
phase error, Multi-step methods |
7 | 8 Mid Term Exam Syllabus : Everything covered till (and including)1st May
|
9 | 10
|
| 13 Assignment No.6 due Multi-step methods, Leapfrog method, Adam
Bashforth Method, System of First Order Ordinary
Differential Equations |
14 |
15 System of First Order ODE's, Boundary Value Problems, Shooting Methods |
16 |
17 |
| 20 Assignment No.7 due Shooting Methods and Direct Methods for ODE's PDE's |
21 | 22 PDE's semi-discretisation, stability analysis, Von Neumann stability analysis, Modified wave number analysis |
23 |
24 Modified Wave Number Analysis, Implicit Time Advancement, Accuracy via modified equation, Du-Fort Frankel Method |
| 27 | 28 | 29 Assignment No.8 due Multi dimensions, Implicit methods in higherdimensions, Approximate factorisation |
30 |
31 |
June
| Monday | Tuesday | Wednesday | Thursday | Friday |
| 3Assignment No.9 due Alternating Direction Implicit Methods, Elliptic partial differential equations, Iterative Solution Methods, Point Jacobi Method, Gauss Seidel Method |
4 | 5 Point Jacobi Method, Gauss Seidel Method, Successive Over Relaxation (SOR) |
6 | 7 |
| 10 | 11 | 12 End Term Exam |
13 | 14 |