Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. M. Ramakrishna
NPTEL Co-ordinating Institute : IIT - Madras
NPTEL Lecture Count : 39
NPTEL Course Size : 16 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Introduction, Why and how we need computers
Lecture 2 - Representing Arrays and functions on computers
Lecture 3 - Representing functions - Box functions
Lecture 4 - Representing functions - Polynomials and Hat functions
Lecture 5 - Hat functions, Quadratic and Cubic representations
Lecture 6 - Demo - Hat functions, Aliasing
Lecture 7 - Representing Derivatives - finite differences
Lecture 8 - Finite differences, Laplace equation
Lecture 9 - Laplace equation - Jacobi iterations
Lecture 10 - Laplace equation - Iteration matrices
Lecture 11 - Laplace equation - convergence rate
Lecture 12 - Laplace equation - convergence rate Continued
Lecture 13 - Demo - representation error, Laplace equation
Lecture 14 - Demo - Laplace equation, SOR
Lecture 15 - Laplace equation - final, Linear Wave equation
Lecture 16 - Linear wave equation - Closed form and numerical solution, stability analysis
Lecture 17 - Generating a stable scheme and Boundary conditions
Lecture 18 - Modified equation
Lecture 19 - Effect of higher derivative terms on Wave equation
Lecture 20 - Artificial dissipation, upwinding, generating schemes
Lecture 21 - Demo - Modified equation, Wave equation
Lecture 22 - Demo - Wave equation / Heat Equation
Lecture 23 - Quasi-linear One-Dimensional. wave equation
Lecture 24 - Shock speed, stability analysis, Derive Governing equations
Lecture 25 - One-Dimensional Euler equations - Attempts to decouple
Lecture 26 - Derive Eigenvectors, Writing Programs
Lecture 27 - Applying Boundary conditions
Lecture 28 - Implicit Boundary conditions
Lecture 29 - Flux Vector Splitting, setup froms averaging
Lecture 30 - Roes averaging
Lecture 31 - Demo - One Dimensional flow
Lecture 32 - Accelerating convergence - Preconditioning, dual time stepping
Lecture 33 - Accelerating convergence - Intro to Multigrid method
Lecture 34 - Multigrid method
Lecture 35 - Multigrid method - final, Parallel Computing
Lecture 36 - Calculus of Variations - Three Lemmas and a Theorem
Lecture 37 - Calculus of Variations - Application to Laplace Equation
Lecture 38 - Calculus of Variations - Final and Random Walk
Lecture 39 - Overview and Recap of the course