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Course Co-ordinated by IIT Kanpur
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The course covers lessons in Foundation of Scientific Computing ,Quantum computing,Wentzel-Kramer-Brillouin Method, Runge-Kutta method, Trapezoidal method , Quasi-linear, Laplace equation,wave packets, Pressure fluctuation ,linearized shallow water wave equation, 1D convection equation,Upwinding ,Numerical amplification factor ,Parabolic partial differential equation , Elliptic partial differential equations ,Lagrange and hermite interpolations .

S.No Topic
1
Foundation of Scientific Computing
2
Quantum computing
3
Wentzel-Kramer-Brillouin Method
4
Runge-Kutta method
5
Trapezoidal method
6
Quasi-linear
7
Laplace equation
8
wave packets
9
Pressure fluctuation
10
wave phenomena
11
linearized shallow water wave equation
12
1D convection equation
13
Upwinding
14
Numerical amplification factor
15
Stiff differential equation.
16
Numerical amplification factor
17
Heat equation
18
Parabolic partial differential equation
19
Tridiagonal matrices
20

Error propagation

21
Elliptic partial differential equations
22
Ordinary differential equation
23

Convergence properties

24
General elliptic equation
25
Multigrid method
26

Spectral analysis of explicit and implicit

27
Highlight the scientific and high performance
28
Taylor series analysis
29
Buffer domain technique
30
Aliasing error
31
Accuracy compact schemes
32
CCD scheme
33
Stabilizing effects of filters
34
Properties of filters
35
Scientific elements of a FEM
36
Lagrange and hermite interpolations
37
Elliptic equation with linear basis function
   
   
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