IST - Theory and Numerics of PDE (2025)
Venue: NIT, Warangal
Dates: 1 Sep 2025 to 13 Sep 2025
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Convener(s) |
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| Name: | Thirupathi Gudi | Satyanarayana Engu |
| Mailing Address: | Professor Department of Mathematics. Indian Institute of Science Bangalore 560012 |
Associate Professor Department of Mathematics NIT Warangal- 506004, Telangana Email: |
| Email: | gudi at iisc.ac.in | satya at nitw.ac.in |
PDEs arise naturally in many mathematical modelling describing physical phenomenon and engineering applications. It is therefore important to understand the PDEs and their solution process. The theory of PDEs consists of studying the existence, uniqueness of the solution and further to establish its regularity. The solution process includes to develop methodologies to find solutions either in closed form or by an approximation. The instructional school aims to provide the participants a tour to classical theory of PDEs and to introduce to them the advanced PDEs through Sobolev Spaces. Furthermore, the school aims to demonstrate numeric techniques to solve the PDEs, in particular, finite difference methods and finite element methods. The topics in the school are designed in such way that the participants get exposure to topics in both classical and modern approach in the theory and computation of PDEs which are also part of the curriculum in the universities and post graduate colleges.