Dr . K. R Arun
Assistant Professor
School of Mathematics
Indian Institute of Science Education and Research Thiruvananthapuram
India
Biography
He has done Ph. D in Mathematics from Indian Institute of Science, Bangalore, India. He has done M.Sc. in Mathematics from Indian Institute of Technology Madras, Chennai. He has won The Martin Forster Medal for the best thesis in Mathematical Sciences for the year 2010-2011, Indian Institute of Science, Bangalore, March 2012. He has done Alexander von Humboldt Fellowship for postdoctoral research at the Institut fuer Geometrie und Praktische Mathematik, RWTH-Aachen University, Germany, July 2010.
Research Interest
Hyperbolic systems of conservation laws, Asymptotic preserving schemes, Genuinely multidimensional numerical schemes, Nonlinear waves and shock waves.
Publications
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K. R. Arun, M. Lukacova-Medvidova, P. Prasad, and S. V. Raghurama Rao. A second order accurate kinetic relaxation scheme for inviscid compressible flows, Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 2013, Volume 120/2013, 1-24 . K. R. Arun, and M. Lukacova-Medvidova. A characteristics based genuinely multidimensional discrete kinetic scheme for the Euler equations. To appear in J. Sci. Comput. K. R. Arun. A numerical scheme for three-dimensional front propagation and control of Jordan mode. SIAM J. Sci. Comput. 34:B148-B178, 2012. K. R. Arun, and P. Prasad. Eigenvalues of kinematical conservation laws (KCL) based weakly nonlinear ray theory (WNLRT). Appl. Math. Comput. 217:2285-2288, 2010.
