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Latest Developments in Computational Methods for Differential Equations Arising in Fluid Dynamics with Multi-scale and Boundary Layer Behaviour

Organizer(s):
Name:	Affiliation:	Country:
Natesan Srinivasan	Indian Institute of Technology Guwahati	India

Introduction:

Several real-life problems are modeled by ordinary and partial differential equations. In particular, several differential equations arising in fluid dynamics are nonlinear in nature. Obtaining closed form analytical solutions to these problems are very difficult and almost impossible in some cases. Therefore, one has to seek numerical approximate solutions to these problems. When the solutions of these differential equations have multi-scale behavior or exhibit boundary layers, then the classical methods fail to yield satisfactory numerical approximate solutions, and one has to use certain layer-adapted nonuniform meshes. In addition, we will discuss efficient numerical and analytical solution techniques to various types of differential equations arising in real-life applications. In this special session, several researchers across the globe, will present their latest contributions in this direction.

All Abstracts

List of approved abstract
Name	Affiliation	Title
Vivek Kumar Aggarwal	Delhi Technological University	Singularly Perturbed Differential Equations on a Graph Domain
Vivek Kumar Aggarwal	Delhi Technological University	Data Driven Approach to Estimate Perturbation Parameter for Singularly Perturbed Problems using Differential Evolution
Abhijit Biswas	king Abdullah University of Science and Technology	Stiff Order Conditions in Runge-Kutta Methods for Linear and Semi-Linear Problems
Anuradha Jha	Indian Institute of Information Technology Guwahati	A parameter uniform hybrid approach for singularly perturbed two-parameter parabolic problem with discontinuous data
Anirban Majumdar	Indian Institute of Information Technology Design and Manufacturing Kurnool	Layer-Resolving Numerical Methods for Degenerate Singular Perturbations Problems with Two Parameters
Deeksha Singh	SRMIST KTR, Chennai	A Newton linearized two-level alternating direction implicit scheme for two-dimensional time fractional reaction--diffusion equation exhibiting weak initial singularity
Gautam Singh	National Institute of Technology Tiruchirappalli	Direct discontinuous Galerkin method for two parameter singular perturbation problems
Natesan Srinivasan	Indian Institute of Technology Guwahati	An Efficient Robust Computational Method for Singularly Perturbed 1D Parabolic PDEs
Natesan Srinivasan	Indian Institute of Technology Guwahati	Numerical Solution of Two-Parameter Singularly Perturbed Differential Equations by Efficient Physics-Informed Neural Networks
Shuo Zhang	Academy of Mathematics and Systems Science, Chinese Academy of Sciences	Robust conservative finite element methods for incompressible flows: with lower degrees