Ph.D. Student, IMI Department,
Indian Institute of Science (2020 - Present)
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I’m a doctoral student in the research group of Prof. Sashikumaar Ganesan and Prof. S. V. Raghurama Rao at Indian Institute of Science under the interdisciplinary program IISc Mathematics Initiative (IMI). My complete resume can be found here. I can be reached at kedars@iisc.ac.in.
My research interests are in the development of higher-order discontinuous Galerkin (DG) methods and kinetic schemes for hyperbolic conservation laws with a primary focus on shock-capturing algorithms and entropy stability in such frameworks. I am also interested in developing genuinely multidimensional extensions for higher-order numerical methods for hyperbolic balance laws. Currently, I also experiment with augmenting DG solvers with machine learning techniques and the use of neural networks to approximate the solution of hyperbolic PDEs.