Publications

Publications in Refereed International Journals:

• 1. Numerical approximations to the transport equation arising in neuronal variability (with Kapil K. Sharma), Int. J. Pure Appl. Math. 69 (3), pp. 341-356, 2011. [Link to article]

1. Finite difference approximations for the first-order hyperbolic partial differential equation with point-wise delay (with Kapil K. Sharma), Int. J. Pure Appl. Math. 67 (1), pp. 49-67, 2011. [arXiv Link] [Link to article]

1. Numerical solution of first-order hyperbolic partial differential-difference equation with shift (with Kapil K. Sharma), Numer. Methods Partial Differential Equations 26 (1), pp. 107-116, 2010. [Link to article]

2. Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution (with Kapil K. Sharma), Appl. Math. Comput. 201 (1-2), pp. 229-238, 2008. [Link to article]

Papers Presentations (Talks) in Conferences/Workshops:

1. Numerical approximations of leaky integrate-and-fire model with Lévy noise at ICIAM 2011 during July 18--22, 2011 at Vancouver, BC, Canada.

2. Numerical Solution of Hyperbolic Partial Functional Differential Equation in Neuronal Variability at Indo-German Conference on PDE, Scientific Computing and Optimization in Applications during October 7--9, 2009 at Department of Mathematics, Indian Institute of Technology, Kanpur, India.

3. Numerical Approximations of Hyperbolic Partial Differential Difference Equation in Neuronal Variability at Spring School on Analytical and Numerical Aspects of Evolution Equations from March 30, 2009 to April 4, 2009 at Institut fur Mathematik, Technische Universitat, Berlin, Germany.