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Dr. rer. nat. Pradip Roul (PhD from OVG University, Germany)

Assistant Professor                                                                                          

Department of Mathematics

Visvesvaraya National Institute of Technology, Nagpur  

South Ambazari Road      

Maharashtra-440010

India                 

                                                                                                                                                                     

E-mail Address: drpkroul@mth.vnit.ac.in

                            pradipvnit@yahoo.com

Phone (office):   ++91-7122801408     Fax:  ++91-7122223969

Webpage: http://mth.vnit.ac.in/people/proul/

Pradip_Roul
Dr. Roul finished his graduation in Science with Mathematics honours from Utkal university and postgraduation in Mathematics with specialization in Numerical Analysis from Ravenshaw University.  He has hold a first-class first position in M.Sc in Ravenshaw University. Dr. Roul received his Ph.D degree in Mathematics from the University of Magdeburg, Germany in 2009. After finishing his doctoral studies, Dr. Roul joined the applied Numerical mathematics group, headed by Prof. K. Siebert, at the University of Duisburg-Essen, Germany in June, 2009 as a postdoctoral researcher. He had been involved in both research and teaching activities there. Dr. Roul afterwards moved to the research group of Prof. M. Hoschneider, Institute of Applied Numerical mathematics, Potsdam University, Germany for another postdoctoral work. Before joining the VNIT, Nagpur, Dr. Roul was employed as a postdoctoral research fellow at the Institute of Mathematics, University of Toulouse, France. As of now, he has twenty two publications in international peer reviewed journals and contributed in book chapter. Under him, two students completed their PhD work.  Dr. Roul also serves as reviewer for many international scientific journals.

Research Interests:

  • Numerical methods, analysis & scientific computing
  • Singular boundary value problems
  • Fractional ODE/PDE
  • Computational Finance
  • Nuclear reactor dynamics
  • Particle based simulation (DEM/MD)

  Teaching Interests:

  •  Adaptive Finite Element         Methods
  •   Numerical Analysis
  •   Theory of ODE, PDE
  •   Fractional Calculus
  •   Continuum Mechanics
  •   Differential Geometry
  •    Complex Analysis                                                        

Recent Publications in SCI/SCIE Indexed Journals:  

2018-19:

[18].  P. Roul"Doubly singular boundary value problems with derivative dependent source function: A fast-converging iterative approach, Accepted,  Mathematical Methods in the Applied Sciences, Willey, Impact Factor: 1.18  (2017), SCIE

[17]. P. Roul, VMK P. Goura:  B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems,  341, 428-450,  2018,  Applied Mathematics and Computation, Elsevier,  Impact Factor: 2.30 (2017), SCI

[16]. P. Roul, H. Madduri: A new approximate method and its convergencbe for a strongly nonlinear problem governing electrohydrodynamic flow of a fluid in a circular cylindrical conduit, 341, 335-347, 2018,  Applied Mathematics and Computation, Elsevier,  Impact Factor: 2.30 (2017), SCI

[15]. P. Roul, H. Madduri, K. Kassner: A new iterative algorithm for a strongly nonlinear singular boundary value problem, To appear in Journal of Computational and Applied Mathematics, Elsevier,  2018,  Impact Factor: 1.63 (2017), SCI

[14].  P. Roul, H. Madduri:  "An optimal iterative algorithm for solving Bratu-type problems",  Accepted, Journal of Mathematical Chemistry, Springer,  2018. Impact Factor: 1.88 (2017), SCI 

[13]. H. Madduri, P. Roul A fast-converging iterative scheme for solving a system of Lane-Emden equations arising in catalytic diffusion reactions, Accepted, Journal of Mathematical Chemistry, Springer,  2018. Impact Factor: 1.88 (2017), SCI 

[12].  P. Roul, H. Madduri: A new highly accurate domain decomposition optimal homotopy analysis method and its convergence for singular boundary value problems, Mathematical Methods in the Applied Sciences, Willey, DOI:10.1002/mma.5181, 2018,  Impact Factor: 1.18  (2017), SCIE

[11]. P. Roul, K. Thula: A new high-order numerical method for solving singular two-point boundary value problems, Journal of Computational and Applied Mathematics, Elsevier, https://doi.org/10.1016/j.cam.2018.04.056, 2018,  Impact Factor: 1.63 (2017), SCI

[10]. P. Roul, K. Thula: A high order B-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science, Mediterranean Journal of Mathematics, Springer 15, 1767, 2018,  https://doi.org/10.1007/s00009-018-1220-y, Impact Factor: 1.00 (2017), SCIE

2016-17:

[9].  P. Roul: On the numerical solution of singular two-point boundary value problem: a domain decomposition homotopy perturbation approach, Mathematical Methods in the Applied Sciences, Willey, DOI: 10.1002/mma.4536,  2017, Impact Factor: 1.18 (2017), SCIE

[8].  P. Roul,  D. Biswal: A new numerical approach for solving a class of singular two-point boundaryvalue problems, Numerical Algorithm, Springer, 75, 531-552, 2017. Impact Factor: 1.53 (2017), SCIE

[7].  P. Roul, K. Thula: A fourth order B-spline collocation method and its error analysis for Bratu-type and Lane-Emden problems, Int. Journal of Computer Mathematics, Taylor & Francis, https://doi.or g/10.1080/0020716 0.2017.1417592, 2017. Impact Factor: 1.05 (2017), SCIE

[6].  P. Roul, U. Warbhe:  New approach for solving a class of singular boundary value problem arising in various physical Models, Journal of Mathematical Chemistry, Springer, 54 (6)  255-1285,  2016. Impact Factor: 1.88 (2017), SCI 

[5].  P. Roul : A fast and accurate computational technique for efficient numerical  solution of nonlinear singular boundary value problems, Int. Journal of Computer Mathematics, Taylor & Francis,  https://doi.or g/10.1080/0020716 0.2017.1417588, 2017. Impact Factor: 1.05 (2017), SCIE

[4]. P. Roul, U. Warbhe: A new homotopy perturbation scheme for solving singular boundary value problems arising in various physical models, Zeitschrift für Naturforschung A, De Gruyter, 72 (8) 733-743, 2017.  Impact Factor: 1.43 (2016), SCI

[3].  P. Roul : A new efficient recursive technique for solving singular boundary problem arising In various physical models, The European Physical Journal Plus, Springer. 131 (4) 1-15, 2016. Impact Factor: 2.24 (2017), SCI.

[2].  P. Roul: An improved iterative technique for solving nonlinear doubly singular two-point Boundary value problems, The European Physical Journal Plus, Springer, 131 (6) 1-15, 2016.  Impact Factor: 2.24 (2017), SCI.

2014-15:

[1].  P. Roul, U. Warbhe: A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems, Journal of Computational and Applied Mathematics, Elsevier, 296, 661-676, 2016.  Impact Factor: 1.63 (2017), SCI

 

Number of Research Projects: 5  (DST (EMR)-1, NBHM-1, BRNS-1, CSIR-1, DST-MATRICS-1)

Total Cost: 71 lakhs

Number of PhD Guided:

1 (Awarded), 1 (submitted),  2 (ongoing)

Number of M.sc Thesis Guided:

10 (Completed) , 2 (ongoing)

Number of JRF Working with PhD: 2

Number of SCI/SCIE Publications (Int): 23

Number of Scopus publication (Int): 1

Book Chapter: 1 (springer, Germany-Berlin)

 

Fellowship/Award:

1. DFG Fellowship for PhD

2. DFG Fellowship for Postdoc

3: GATE (Percentile: 95.46)

4. CSIR-UGC (JRF)

5. Portugal Posdoc Fellowship (Not availed)

 

Courses Taught at VNIT:

PG:

Finite Element Method (MAL544)

Theory of ODE (MAL513)

Numerical Analysis (MAL525)

Algebera (MAL523)

Numerical Computational Lab (MAP-526)

UG:

MATH-I (MAL-101), MATH-II (MAL-102)

Integral Transform & PDE (MAL-202)

Numerical methods and Probabilty Theory (MAL-205)

Numerical methods and Computation (MAL-203)

 

 

Open Position:

One RA/JRF position under CSIR project is avilable!

Link: http://www.vnit.ac.in/index.php/recruitments/requires-jrf-project-assistant

Last Date: 19.11.2018

 

 

Last Updated on: 13.10.2018