Dr. Arvind Kumar Gupta akg.jpg
Assistant Professor
Department of Mathematics





Biography

Dr. Gupta is an Assistant Professor in the Department of Mathematics at IIT Ropar. After obtaining his Master and Doctoral degree from IIT Roorkee, he joined BITS Pilani as an Assistant Professor in the Mathematics Group. Dr. Gupta's areas of research interests include Mathematical Modeling of Traffic flow, Hyperbolic Conservation Laws and Cellular Automata.

Research Interests

  • Mathematical Modeling
  • Cellular Automata

Education

  • Ph.D., Indian Institute of Technology Roorkee, India, 2007
  • M.Sc., Indian Institute of Technology Roorkee, India, 2001

Work Experience

  • Assistant Professor, Indian Institute of Technology Ropar, India, 2010-Present
  • Assistant Professor, BITS Pilani, India, 2006-2010

Selected Publications

1. A. K. Gupta and S.Sharma, (2011) “Analysis of wave properties of a new two-lane continuum model with consideration of the coupling effect”, Chin. Phys. B. (Accepted).

2. A. K. Gupta and Sapna Sharma, (2010) “Nonlinear analysis of traffic jams in an anisotropic continuum model”, Chinese Physics B, 19(11) 110503.

3. A. K. Gupta and V. K. Katiyar, (2007), “A new multi-class continuum model for traffic flow”, Transportmetrica, 3(1) 73-85.

4. A. K. Gupta and V. K. Katiyar, (2006), “A new anisotropic continuum model for traffic flow”, Physica A: Statistical Mechanics and its Applications, 368 (2), 551-559.

5. A. K. Gupta and V. K. Katiyar, (2006), “Phase transition of traffic states with an on-ramp”, Physica A: Statistical Mechanics and its Applications, 371 (2), 674-682.

6. A. K. Gupta and V. K. Katiyar, (2005), “Analyses of shock waves and traffic jams”, Journal of Physics A: Mathematical and General, May (38), 4069-4083.