Modules / Lectures

Sl.No Chapter Name English
1Introduction, Why and how we need computersPDF unavailable
2Representing Arrays and functions on computers PDF unavailable
3Representing functions - Box functionsPDF unavailable
4Representing functions - Polynomials & Hat functions PDF unavailable
5Hat functions, Quadratic & Cubic representations PDF unavailable
6Demo - Hat functions, AliasingPDF unavailable
7Representing Derivatives - finite differencesPDF unavailable
8Finite differences, Laplace equationPDF unavailable
9Laplace equation - Jacobi iterationsPDF unavailable
10Laplace equation - Iteration matricesPDF unavailable
11Laplace equation - convergence ratePDF unavailable
12Laplace equation - convergence rate ContinuedPDF unavailable
13Demo - representation error, Laplace equation PDF unavailable
14Demo - Laplace equation, SORPDF unavailable
15Laplace equation - final, Linear Wave equation PDF unavailable
16Linear wave equation - Closed form & numerical solution, stability analysisPDF unavailable
17Generating a stable scheme & Boundary conditionsPDF unavailable
18Modified equationPDF unavailable
19Effect of higher derivative terms on Wave equationPDF unavailable
20Artificial dissipation, upwinding, generating schemes PDF unavailable
21Demo - Modified equation, Wave equationPDF unavailable
22Demo - Wave equation / Heat EquationPDF unavailable
23Quasi-linear One-Dimensional. wave equationPDF unavailable
24Shock speed, stability analysis, Derive Governing equationsPDF unavailable
25One-Dimensional Euler equations - Attempts to decouplePDF unavailable
26Derive Eigenvectors, Writing ProgramsPDF unavailable
27Applying Boundary conditionsPDF unavailable
28Implicit Boundary conditions PDF unavailable
29Flux Vector Splitting, setup froms averaging PDF unavailable
30Roes averagingPDF unavailable
31Demo - One Dimensional flowPDF unavailable
32Accelerating convergence - Preconditioning, dual time steppingPDF unavailable
33Accelerating convergence, Intro to Multigrid methodPDF unavailable
34Multigrid methodPDF unavailable
35Multigrid method - final, Parallel ComputingPDF unavailable
36Calculus of Variations - Three Lemmas and a TheoremPDF unavailable
37Calculus of Variations - Application to Laplace Equation PDF unavailable
38Calculus of Variations -final & Random Walk PDF unavailable
39Overview and Recap of the coursePDF unavailable

Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available