| Prereq |
Pre-Semester |
Vector Calculus & PDE Foundations |
Prerequisite Notes (PDF) |
| 01 |
12-08-2026 |
Foundations and the Continuity Equation |
Lecture 1 (PDF) |
| 02 |
12-08-2026 |
The Euler and Navier-Stokes Equations |
Lecture 2 (PDF) |
| 03 |
13-08-2026 |
Classification of PDEs in Fluid Dynamics |
Lecture 3 (PDF) |
| 04 |
19-08-2026 |
Method of Characteristics: Linear Problems |
Lecture 4 (PDF) |
| 05 |
19-08-2026 |
Method of Characteristics: Non-linear Problems |
Lecture 5 (PDF) |
| 06 |
26-08-2026 |
Finite Difference Methods: Foundations & Truncation Error |
Lecture 6 (PDF) |
| 07 |
26-08-2026 |
Von Neumann Stability Analysis & Classical Schemes |
Lecture 7 (PDF) |
| 08 |
02-09-2026 |
Modified Equation Analysis: Dissipation & Dispersion |
Lecture 8 (PDF) |
| 09 |
02-09-2026 |
Conservative Schemes, Semi-Discretization & SSP Methods |
Lecture 9 (PDF) |
| 10 |
22-09-2026 |
Finite Volume Method, Control Volumes & Godunov's Scheme |
Lecture 10 (PDF) |
| 11 |
29-09-2026 |
MUSCL Reconstruction, Slope Limiters & Second-Order FV Schemes |
Lecture 11 (PDF) |
| 12 |
06-10-2026 |
TVD Schemes, Flux Limiters & SSP Time Stepping |
Lecture 12 (PDF) |
| 13 |
13-10-2026 |
ENO & WENO Schemes |
Lecture 13 (PDF) |
