IST - Theoretical and Numerical aspects of PDEs: Application to Flow Dynamics (2026)
Speakers and Syllabus
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Ananta K. Majee, |
6 |
Classical PDEs: Classification of second order PDEs, Parabolic, Hyperbolic and Elliptic PDEs, Heat Equation, Wave equation, Telegraph Equation, Diffusion equations. Maximum principle, fundamental solution, Fixed point theorem, existence and uniqueness of weak solution. |
|
Rajendra K. Ray, |
6 |
Finite Difference Methods: Development and Analysis (consistency, convergence, stability, and error estimate) of finite difference schemes for Heat equation, Wave equation, Laplace equation, Convection-diffusion equation. Higher order compact (HOC) finite difference schemes. Introduction to MATLAB, basic code development for convection-diffusion equation. Elite Master class through Field visit to demonstrate the concept through Courant-Friedrichs-Lewy (CFL) condition |
| Saumya Bajpai, IIT Goa |
6 | Finite Element Methods: Introduction to finite element methods, construction of finite element spaces, Interpolation theory, applications to elliptic and parabolic PDEs. Error analysis. |
|
Atendra Kumar, |
6 |
Study of fluid flow and vortex dynamics: Introduction to Topological aspect based structural bifurcation analysis, Flow past bluff bodies, Numerical study of vortex shedding with structural bifurcation analysis. Development of MATLAB codes to solve flow past bluff body problems using HOC finite difference method. |
References:
1. L. C. Evans. Partial Differential Equations, AMS.
2. J. C. Strikwerda. Finite difference schemes and PDEs, SIAM.
3. J. N. Reddy, An Introduction to Finite Element Method, McGraw Hill.
4. M. M. Zdravkovich, Flow around Circular Cylinders: Volume 1. Fundamental, 1997, Oxford Science Publication.
Tutorial Assistants:
-
S.No.
Name
Affiliation
1
Arindam Sarkar
IIT Mandi
2
Andleeb Hamid
NIT Srinagar
Time Table
Time-Table (with names of speakers and course associates /tutors):
-
Day
Date
Lecture1
(9.30–11.00)
Tea
(11.05–11.25)Lecture2
(11.30–1.00)
Lunch
(1.05–2.25)Tutorial
(2.30–3.30)Tea
(3.35-3.55)
Tutorial
(4.00-5.00)(name of the speaker)
(name of the speaker)
(name of the speaker+tutors)
(name of thespeaker+tutors)
Mon
29/06/2026
AM
AM
AM,AK,AS
AM,RR,AS
Tues
30/06/2026
AM
AM
AM,AK,AS
AM,RR,AS
Wed
01/07/2026
AM
AM
AM,AK,AS
AM,RR,AS
Thu
02/07/2026
RR
RR
RR,AK, AS
RR,AK, AS
Fri
03/07/2026
RR
RR
RR,AK, AS
RR,AK, AS
Sat
04/07/2026
RR
RR
RR,AK, AS
RR,AK, AS
SUNDAY:OFF
Mon
06/07/2026
SB
SB
SB,AK,AH
SB,RR, AH
Tues
07/07/2026
SB
SB
SB,AK, AH
SB,RR, AH
Wed
08/07/2026
SB
SB
SB,AK, AH
SB,RR, AH
Thu
09/07/2026
AK
AK
AK,RR,AH
AK,RR,AH
Fri
10/07/2026
AK
AK
AK,RR,AH
AK,RR,AH
Sat
11/07/2026
AK
AK
AK,RR,AH
AK,RR,AH
- M: Ananta K. Majee
- RR: Rajendra K. Ray
- SB: Saumya Bajpai
- AK: Atendra Kumar
- AS: Arindam Sarkar
- AH: Andleeb Hamid