NCMW - Numerical Methods for Partial Differential Equations (2022)

Venue: IISER, Thiruvananthapuram

Dates: 19 Sep 2022 to 24 Sep 2022

Convener(s)

 
Name: Dr. Chamakuri Nagaiah G.D. Veerappa Gowda
Mailing Address:  Assistant Professor
School of Mathematics
IISER Thiruvananthapuram,
Kerala, 695551, India.		  Raja Ramanna Fellow
TIFR Centre for Applicable Mathematics
Sharadanagar, Chikkabommasandra
Yelahanka New Town, Bangalore - 65.
Email: nagaiah.chamakuri at iisertvm.ac.in gowda at tifrbng.res.in

Partial Differential Equations(PDEs) play an important role in science and engineering applications, such as the propagation of heat or sound, fluid flow, finite elasticity, electrodynamics, cancer modeling, etc. In general, the solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary and initial conditions, and nonlinearities. Even if we know the theoretical existence and the uniqueness of the solution, it may not be possible to obtain analytical solutions. The only way to get approximate solutions is by using numerical techniques. This workshop offers an introduction to some important numerical methods for linear and non-linear ordinary and partial differential equations, and various numerical discretization techniques for their solution, namely finite difference (FDM), finite volume methods (FVM),finite element methods (FEM), and discontinuous Galerkin methods (DGM). It also includes an introduction to Machine Learning, Deep Learning, and Physics Informed Neural Networks (PINNs).This workshop is intended for Ph.Ds and Postdocs so that they can learn these techniques and use them in their research.