nitarunachal@nitap.ac.in 0360-2284801
nitarunachal@nitap.ac.in 0360-2284801

Dr A Vanav Kumar

Associate Professor, Basic & Applied Science

Research Areas:

 vanav@nitap.ac.in
vanavkumar.a@gmail.comn
 9442559321
Address:
View CV

Educational Qualification

ACADEMICS

  • Ph. D., Unsteady Boundary layer fluid flow past a stretching sheet,
    • Topic: Unsteady Boundary layer fluid flow past a stretching sheet.
  • M. Sc., Applied Mathematics,
    • Duration : June-1998 to May-2000
    • ThiagarajarCollege of Engg., Madurai-625015, India
    •  First Class
  • B.Sc., Mathematics,
    • Duration : June-1996 to May-1998
    • The AmericanCollege, Madurai-625002, India
    • First Class

Research

RESEARCH INTEREST

  • Computation fluid dynamics
  • Viscous hypersonic fluid flow (Interested to Collaborate within and outside the Institute)
  • Groundwater flow modeling with contamination (In Collaboration with Dr. M. Berlin, Department of Civil Engineering, NIT, Arunachal Pradesh)
  • Quantum Computation
  • Data Science and Analytics 
  • Financial Computing and Mathematics
  • Graph theory and its applications in Data Science and analytics
  • Fractional calculus
  • Fuzzy mathematics

Experience

TEACHING AND WORK EXPERIENCE

  • Lecturer, Department of Mathematics, V.S.B.EngineeringCollege, Karur, India, August 2002 to November 2003
  • Research Assistant/Teaching Assistant, National Institute of Technology, Tiruchirappalli, India, August 2004 to May 2006
  • Research Assistant, National Institute of Technology, Tiruchirappalli, India, July 2009 to January 2010
  • Assistant Professor, Oxford Engineering College, Tiruchirappalli, India, May 2010 to May 2011.
  • Assistant Professor, VIT, Chennai, India, June 2011 to July 2014.
  • Assistant Professor, NIT, Arunachal Pradesh, India, July 2014 to July 2022
  • Associate Professor, NIT, Arunachal Pradesh, India, July 2022 to till date.

SUBJECTS TAUGHT

  •     ENGINEERING MATHEMATICS-I, II, III (Reference Early Calculus: Early Transcendentals by James Stewart, Veerarajan)
  •     PROBABILITY AND STATISTICS (Reference Probability and Statistics for Engineers and Scientists, Walpole, Myers, Myers and Ye)  
  •     PROBABILITY AND RANDOM PROCESSES  (Reference Probability and Statistics for Engineers and Scientists, Walpole, Myers, Myers and Ye, Probability, Random Variables, and Random Signal Principles by Peyton Z. Peebles )  
  •     COMPUTATIONAL FLUID DYNAMICS (Reference Computational Fluid mechanics and Heat transfer, Dale Anderson, John C. Tannehill, Richard H. Pletcher, Introduction to Computational Fluid Dynamics, H. Versteeg, W.  Malalasekera,                                                                               Computational fluid dynamics by Gautam Biswas, Somenath Mukherjee,  Convective heat transfer by Adrian Bejan, Convective heat transfer by D. B. Ingham and I. Pop, Dynamics of Fluids in Porous                                                                           media by J. Bear, Basic Control Volume Finite Element Methods for Fluids and Solids by V. R. Voller, Computational fluid dynamics by Tapan Sen Gupta)
  •      BOUNDARY LAYER THEORY (Reference Boundary layer theory by Hermann Schlichting, Klaus Gersten)
  •      FRACTIONAL CALCULUS (Reference Fractional differential equations by Igor Podlubný, Fractional Calculus and Its Applications by Keneth Miller, Theory and Applications of Fractional Differential Equations: Volume 204 (North-Holland                                                               Mathematics Studies,  A.A. Kilbas , H. M. Srivastava, The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order by Spanier and Oldham, Fractional Dynamics by V. E.                                                            Tarasov)
  •      OPERATION RESEARCH (Reference Operations research An Introduction by H A Taha, Operations research by J K Sharma,  Convex optimization by Stephen Boyd, ‎Stephen P. Boyd, ‎Lieven Vandenberghe and Combinotrial optimization by                                                    Christos Papadimitriou and Kenneth Steiglitz 
  •      C, C++, JAVA 
  •      DATA SCIENCE AND ANALYTICS (Business Analytics by Dinesh Kumar, Machine learning with Python by M Pardhan, Dinesh Kumar)
  •      FORTRAN
  •      TENSOR CALCULUS (Reference Tensor Calculus by Heinbockel Bockel)
  •      FINANCIAL COMPUTING (Reference Books by Paul Wilmott, Y Hilpsch, John Hull, Brent Oksendal, Steve Shreve)
  •      DISCRETE MATHEMATICS (Reference Discrete Mathematics by Tremblay and Manohar)
  •      REAL ANALYSIS  (Reference by Real analysis by S. Kumaresan, T. M. Apostol, S. Ponnusamy, W. Rudin)
  •      NUMERICAL METHODS (Reference Jain and Iyengar)

Teaching

COURSES/SUBJECTS TAUGHT

  •     ENGINEERING MATHEMATICS-I, II, III (Reference Early Calculus: Early Transcendentals by James Stewart, Veerarajan)
  •     PROBABILITY AND STATISTICS (Reference Probability and Statistics for Engineers and Scientists, Walpole, Myers, Myers and Ye)  
  •     PROBABILITY AND RANDOM PROCESSES  (Reference Probability and Statistics for Engineers and Scientists, Walpole, Myers, Myers and Ye, Probability, Random Variables, and Random Signal Principles by Peyton Z. Peebles )  
  •     COMPUTATIONAL FLUID DYNAMICS (Reference Computational Fluid mechanics and Heat transfer, Dale Anderson, John C. Tannehill, Richard H. Pletcher, Introduction to Computational Fluid Dynamics, H. Versteeg, W.  Malalasekera,                                                                               Computational fluid dynamics by Gautam Biswas, Somenath Mukherjee,  Convective heat transfer by Adrian Bejan, Convective heat transfer by D. B. Ingham and I. Pop, Dynamics of Fluids in Porous                                                                           media by J. Bear, Basic Control Volume Finite Element Methods for Fluids and Solids by V. R. Voller, Computational fluid dynamics by Tapan Sen Gupta)
  •      BOUNDARY LAYER THEORY (Reference Boundary layer theory by Hermann Schlichting, Klaus Gersten)
  •      FRACTIONAL CALCULUS (Reference Fractional differential equations by Igor Podlubný, Fractional Calculus and Its Applications by Keneth Miller, Theory and Applications of Fractional Differential Equations: Volume 204 (North-Holland                                                               Mathematics Studies,  A.A. Kilbas , H. M. Srivastava, The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order by Spanier and Oldham, Fractional Dynamics by V. E.                                                            Tarasov)
  •      OPERATION RESEARCH (Reference Operations research An Introduction by H A Taha, Operations research by J K Sharma,  Convex optimization by Stephen Boyd, ‎Stephen P. Boyd, ‎Lieven Vandenberghe and Combinotrial optimization by                                                    Christos Papadimitriou and Kenneth Steiglitz 
  •      C, C++, JAVA, JDBC, JAVE SERVERS, JAVA SERVELETS, EJB, PERL, JSP, JAVA SCRIPT
  •      DATA SCIENCE AND ANALYTICS (Business Analytics by Dinesh Kumar, Machine learning with Python by M Pardhan, Dinesh Kumar)
  •      FORTRAN (Reference FORTRAN for Scientist and Engineers by Stephen Chapman)
  •      TENSOR CALCULUS (Reference Tensor Calculus by Heinbockel)
  •      FINANCIAL COMPUTING (Reference Books by Paul Wilmott, Y Hilpsch, John Hull, Brent Oksendal, Steve Shreve)
  •      DISCRETE MATHEMATICS (Reference Discrete Mathematics by Tremblay and Manohar, Kenneth Rosen)
  •      REAL ANALYSIS  (Reference by Real analysis by S. Kumaresan, T. M. Apostol, S. Ponnusamy, W. Rudin)
  •      NUMERICAL METHODS (Reference Jain and Iyengar)

 

Awards/Achievement

FIRST RANK HOLDER IN M.SC., APPLIED MATHEMATICS (COMPLETED YEAR  2000)

Patents

NIL