"My focus in Computational Mathematics is to develop efficient and accurate solutions to real world problems with a strong theoretical flavor."
Dr. Amiya Kumar Pani,
Professor of Mathematics,
Department of Mathematics,
Indian Institute of Technology Bombay,
(022) 576 7481 (Office)
(022) 576 8481 (Residence)
(022) 572 3550 (Residence)
Fax No : +91 22 572 3480
Email : firstname.lastname@example.org
Birth Place : Ambabahali, Orissa (India)
Wife (Tapaswini) and sons (Aurosmit and Anupum)
Amiya K. Pani's research interest is primarily in the area of numerical approximations of partial differential equations. His expertise includes construction, stability and convergence analysis of finite element methods, finite difference schemes, orthogonal spline collocation methods for free boundary problems, partial integro differential equations, coupled equations in Oil Reservior Studies, evolutionary variational inequalities and scientific computations for industrial applications.
Amiya K. Pani is presently collaborating with Prof. Graeme Fairweather (Colorado School of Mines) on alternate mixed finite element methods and orthogonal spline collocation methods for partial integro differential equations, Prof. Jin Yun Yuan and Prof. D. Pedro (UFPR, Curitiba, Brazil) on the theoretical analysis and computational methods for Viscoelastic Fluid Flow Problems, and Prof. S. K. Chung (Seoul National University, Korea) on finite element analysis of fourth order evolution equations and Prof. Kannan Moudgalya (Chemical Engineering Department, IIT Bombay ) on efficient numerical methods for differential algebraic equations and on mathematical as well as computational methods for Particle Size Distributions in Emulsion Polymerisation Process.
In the past, he had worked with Dr. R. S. Anderssen (CMA, ANU & CSIRO, Canberra) and Prof. S. K. Chung on Generalized Finite Difference Schemes, Dr. T. Peterson (Virginia Tech) on finite element analysis for parabolic integro differential equation with spatial quarature, Prof. Vidar Thomee (Chalmers Univ. Tech., Sweden) and Prof. Lars B. Wahlbin (Cornel Univeristy) on time stepping methods with reduced storage for intero differential equations of parabolic and hyperbolic type.