1 
Representing functions  Polynomials & Hat
functions 
Prof. M. Ramakrishna , IIT Madras 

Monday 

2 
Representing functions  Polynomials & Hat
functions 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

3 
Representing functions  Polynomials & Hat
functions 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

4 
Representing functions  Box functions 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

5 
Representing functions  Box functions 
Prof. M. Ramakrishna , IIT Madras 

Friday 

6 
Representing functions  Box functions 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

7 
Representing functions  Box functions 
Prof. M. Ramakrishna , IIT Madras 

Monday 

8 
Representing functions  Box functions 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

9 
Representing functions  Box functions 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

10 
Representing Derivatives  finite differences 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

11 
Representing Derivatives  finite differences 
Prof. M. Ramakrishna , IIT Madras 

Friday 

12 
Representing Derivatives  finite differences 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

13 
Finite differences, Laplace equation 
Prof. M. Ramakrishna , IIT Madras 


Monday 


14 
Finite differences, Laplace equation 
Prof. M. Ramakrishna , IIT Madras 


Tuesday 


15 
Finite differences, Laplace equation 
Prof. M. Ramakrishna , IIT Madras 


Wednesday 


16 
Laplace equation  Jacobi iterations 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

17 
Laplace equation  Jacobi iterations 
Prof. M. Ramakrishna , IIT Madras 

Friday 

18 
Laplace equation  Jacobi iterations 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

19 
Laplace equation  Iteration matrices 
Prof. M. Ramakrishna , IIT Madras 

Monday 

20 
Laplace equation  Iteration matrices 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

21 
Laplace equation  Iteration matrices 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

22 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

23 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Friday 

24 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

25 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Monday 

26 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Monday 

27 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

28 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

29 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

30 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

31 
Demo  representation error, Laplace equation 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

32 
Demo  representation error, Laplace equation 
Prof. M. Ramakrishna , IIT Madras 

Friday 

33 
Demo  representation error, Laplace equation 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

34 
Demo  Laplace equation, SOR 
Prof. M. Ramakrishna , IIT Madras 

Monday 

35 
Demo  Laplace equation, SOR 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

36 
Demo  Laplace equation, SOR 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

37 
Laplace equation  final, Linear Wave equation 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

38 
Laplace equation  final, Linear Wave equation 
Prof. M. Ramakrishna , IIT Madras 

Friday 

39 
Laplace equation  final, Linear Wave equation 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

40 
Linear wave equation  Closed form & numerical
solution, stability analysis 
Prof. M. Ramakrishna , IIT Madras 

Monday 

41 
Linear wave equation  Closed form & numerical
solution, stability analysis 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

42 
Linear wave equation  Closed form & numerical
solution, stability analysis 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

43 
Generating a stable scheme & Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

44 
Generating a stable scheme & Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 

Friday 

45 
Generating a stable scheme & Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

46 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Monday 

47 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

48 
Laplace equation  convergence rate 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

49 
Effect of higher derivative terms on Wave equation 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

50 
Effect of higher derivative terms on Wave equation 
Prof. M. Ramakrishna , IIT Madras 

Friday 

51 
Effect of higher derivative terms on Wave equation 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

52 
Artificial dissipation, upwinding, generating
schemes 
Prof. M. Ramakrishna , IIT Madras 

Monday 

53 
Artificial dissipation, upwinding, generating
schemes 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

54 
Artificial dissipation, upwinding, generating
schemes 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

55 
Demo  Modified equation, Wave equation 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

56 
Demo  Wave equation / Heat Equation 
Prof. M. Ramakrishna , IIT Madras 


Monday 


57 
Demo  Wave equation / Heat Equation 
Prof. M. Ramakrishna , IIT Madras 


Tuesday 


58 
Demo  Wave equation / Heat Equation 
Prof. M. Ramakrishna , IIT Madras 


Wednesday 


59 
Quasilinear OneDimensional. wave equation 
Prof. M. Ramakrishna , IIT Madras 


Thursday 


60 
Quasilinear OneDimensional. wave equation 
Prof. M. Ramakrishna , IIT Madras 


Friday 


61 
Quasilinear OneDimensional. wave equation 
Prof. M. Ramakrishna , IIT Madras 


Saturday 


62 
OneDimensional Euler equations  Attempts to
decouple 
Prof. M. Ramakrishna , IIT Madras 


Thursday 


63 
OneDimensional Euler equations  Attempts to
decouple 
Prof. M. Ramakrishna , IIT Madras 


Friday 


64 
OneDimensional Euler equations  Attempts to
decouple 
Prof. M. Ramakrishna , IIT Madras 


Saturday 


65 
Derive Eigenvectors, Writing Programs 
Prof. M. Ramakrishna , IIT Madras 


Monday 


66 
Derive Eigenvectors, Writing Programs 
Prof. M. Ramakrishna , IIT Madras 


Tuesday 


67 
Derive Eigenvectors, Writing Programs 
Prof. M. Ramakrishna , IIT Madras 


Wednesday 


68 
Applying Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 


Thursday 


69 
Applying Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 


Friday 


70 
Applying Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 


Saturday 


71 
Implicit Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 


Monday 


72 
Implicit Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 


Tuesday 


73 
Implicit Boundary conditions 
Prof. M. Ramakrishna , IIT Madras 


Wednesday 


74 
Flux Vector Splitting, setup Roeâ€™s averaging 
Prof. M. Ramakrishna , IIT Madras 


Thursday 


75 
Flux Vector Splitting, setup Roeâ€™s averaging 
Prof. M. Ramakrishna , IIT Madras 


Friday 


76 
Flux Vector Splitting, setup Roeâ€™s averaging 
Prof. M. Ramakrishna , IIT Madras 


Saturday 


77 
Demo  One Dimensional flow 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

78 
Demo  One Dimensional flow 
Prof. M. Ramakrishna , IIT Madras 

Friday 

79 
Demo  One Dimensional flow 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

80 
Accelerating convergence, Intro to Multigrid
method 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

81 
Accelerating convergence, Intro to Multigrid
method 
Prof. M. Ramakrishna , IIT Madras 

Friday 

82 
Accelerating convergence, Intro to Multigrid
method 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

83 
Multigrid method 
Prof. M. Ramakrishna , IIT Madras 

Monday 

84 
Multigrid method 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

85 
Multigrid method 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

86 
Multigrid method  final, Parallel Computing 
Prof. M. Ramakrishna , IIT Madras 

Thursday 

87 
Multigrid method  final, Parallel Computing 
Prof. M. Ramakrishna , IIT Madras 

Friday 

88 
Multigrid method  final, Parallel Computing 
Prof. M. Ramakrishna , IIT Madras 

Saturday 

89 
Calculus of Variations  Three Lemmas and a
Theorem 
Prof. M. Ramakrishna , IIT Madras 

Monday 

90 
Calculus of Variations  Three Lemmas and a
Theorem 
Prof. M. Ramakrishna , IIT Madras 

Tuesday 

91 
Calculus of Variations  Three Lemmas and a
Theorem 
Prof. M. Ramakrishna , IIT Madras 

Wednesday 

92 
Calculus of Variations  Application to Laplace
Equation 
Prof. M. Ramakrishna , IIT Madras 


Thursday 


93 
Calculus of Variations  Application to Laplace
Equation 
Prof. M. Ramakrishna , IIT Madras 


Friday 


94 
Calculus of Variations  Application to Laplace
Equation 
Prof. M. Ramakrishna , IIT Madras 


Saturday 


95 
Overview and Recap of the course 
Prof. M. Ramakrishna , IIT Madras 


Thursday 


96 
Overview and Recap of the course 
Prof. M. Ramakrishna , IIT Madras 


Friday 


97 
Overview and Recap of the course 
Prof. M. Ramakrishna , IIT Madras 


Saturday 

