| Biography | |
|---|---|
 Dr. Pratibhamoy Das Department of Mathematics, Indian Institute of Technology, India |
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| Title: A Moving Mesh Algorithm based Optimal Accurate Mesh Equidistribution Approach for Boundary Layer Originated Parabolic Systems | |
| Abstract: This talk will on the mesh equidistribution based numerical approximations and their convergence analysis for boundary layer originated singularly perturbed systems. Here we focus on the system of singularly perturbed problems for which classical methods on uniform meshes diverge. I shall start my talk with a small introduction of singularly perturbed problems and explain the difficulty of numerical analysis for these problems. Equidistribution based moving mesh algorithm will be also explained. Note that the mesh movement at every time steps, leads to the interpolation of the previous time solution for obtaining the present time solution. We have mainly used a modified backward Euler technique to obtain the stability in time. Thereafter I consider the optimal order convergence analysis of the numerical solution on the fully equidistributed meshes. Numerical experiment will be shown to explain the effective behavior of the present approach on moving mesh algorithm. | |
| Biography: Dr. Pratibhamoy Das is an Assistant Professor of Department of Mathematics, Indian Institute of Technology Patna. He works mainly on the optimal accurate numerical analysis of singularly perturbed differential equations and approximations of fractional integro differential equations. Presently, he is working on the a posteriori estimate generation for system of boundary/interior layer originated parabolic problems and theoretical aspects and least square based optimal accurate solutions for fractional integro differential models. Before joining to IIT Patna, he was an Einstein Foundation Fellow at Institute fur Mathematik, Technische Universitat Berlin, Germany, where he worked with the group of Prof. Volker Mehrmann. He was also a visiting faculty at IISER Bhopal and NBHM Fellow at Indian Institute of Science Bangalore. He did his master from IIT Bombay and doctorate from IIT Guwahati. At present, he has plenty of international MathScinet and SCI listed publications and single author publications. He is also receipt of several awards, including Young Scientist Award at 100th Indian Science Congress and also DAAD Research Ambassador of Germany. | |
