1 | Properties of numerical methods and basic steps in numerical solutions errors and error sources. |
2 | Linear Algebraic Equations |
3 | Linear Algebraic Equations (Cont'd) |
4 | Curve-Fitting: Least squares regression, Interpolation and Extrapolation |
5 | Curve-Fitting: Least squares regression, Interpolation and Extrapolation |
6 | Optimization: One dimensional unconstrained optimization, multidimensional unconstrained optimization and constrained optimization |
7 | Numerical Differentiation and Integration |
8 | Numerical Differentiation and Integration (Cont'd) |
9 | Mid- Term |
10 | Ordinary Differential Equations (ODEs): Runge-Kutta Methods, Stiffness and Multistep methods, Boundry value and Eigenvalue Problems. |
11 | Ordinary Differential Equations (ODEs): Runge-Kutta Methods, Stiffness and Multistep methods, Boundry value and Eigenvalue Problems (Cont'd) |
12 | Ordinary Differential Equations (ODEs): Runge-Kutta Methods, Stiffness and Multistep methods, Boundry value and Eigenvalue Problems (Cont'd) |
13 | Partial Differential Equations: Elliptic, parabolic and hyperbolic partial differential equations (PDEs). |
14 | Partial Differential Equations: Elliptic, parabolic and hyperbolic partial differential equations (PDEs) (Cont'd) |