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Contact Details:
Prof. L. P. Singh
Office Address: Department of Mathematical Sciences, Indian Institute of Technology(BHU), Varanasi  221005 (U.P.) India.
Residence Address: P22 New Medical Enclave, Naria, BHU Campus, Varanasi  221005 (U. P.) India.
Phone No: +91 94518 95174 (Mob)
+91 542 2985821 (Res.)
Email: lpsingh.apm@iitbhu.ac.in; lpsingh.apm@gmail.com
Research Areas:
Hyperbolic Partial Differential Equations, Fluid Dynamics, Computational Fluid Dynamics.
M. Sc.(1981): Banaras Hindu University
Ph. D. (1987): Banaras Hindu University
Sl. No.  Name of Student  Thesis Title  Status (Awarded/Submitted/Ongoing) 

1.  Mithilesh Singh  Some studies on propagation of nonlinear waves in gaseous media.  Awarded 
2.  Akmal Husain  Some Investigations Concerning Propagation of Nonlinear Waves in Gas Dynamics.  Awarded 
3.  Subedar Ram  Study Concerning the Propagation of Nonlinear Waves in Gaseous Media.  Awarded 
4.  Dheerendra Bahadur Singh  Some Aspects of Nonlinear Wave propagation in Gaseous Media.  Awarded 
5.  Shikha Gaur  Numerical Solution of AdvectionDispersion Equation using Wavelets.  Awarded 
6.  Raghwendra Singh  Study of Certain Aspects of Nonlinear Waves in Gaseous Media.  Awarded 
7.  Triloki Nath  Some Investigations on Nonlinear Wave Propagation in Gaseous Media  Awarded 
8.  Raj Kumar Gupta  Some aspects of nonlinear wave propagation involving hyperbolic partial differential equations.  Awarded 
9.  Jitendra Pal Chaudhary  Study of Nonlinear Wave Propagation Involving Hyperbolic PDE's  Awarded 
10.  Pooja Gupta  Ongoing  
11.  Rahul Kumar Chaturvedi  Ongoing  
12.  Shobhit Kumar Srivastava  Ongoing  
13.  Mahesh Pandey  Ongoing  
14.  Pradeep  Ongoing  
15.  Dheeraj Shukla  Ongoing  
16.  Shweta  Ongoing  
17.  Gaurav  Ongoing 
 Singh, L.P., Kumar, A. and Shyam, R.: 1984, Flow Behind an attached shock wave in a radiating gas : Astrophysics & Space Science106: 8182 (Springer).
 Shyam, Radhe, Singh, L.P. and Sharma, V.D.: 1986, Steepening of waves in a radiative magneto hydrodynamics: Acta Astronautica 13 : 95100 (Elsevier).
 Sharma, V.D., Singh, L.P. and Ram, Rishi: 1987, The progressive wave approach analyzing the decay of saw tooth profile in magnetogasdynamics: The Physics of Fluids 30: 15721574 (AIP).
 Sharma, V.D., Shyam, R. and Singh, L.P.: 1987, Shock formation distance in a twodimensional steady supersonic flow over a concave corner in radiative magneto gasdynamics: ZAMM 67: 8792 (Wiley).
 Kumar, A., Singh, L.P. and Shyam, R.: 1987, The onset of shock wave in an electrically conducting and radiating gas: Astrophysics & Space Science 111: 131137(Springer).
 Singh, L.P., Sharma, V.D. and Gupta, N.: 1988, Wave propagation in a steady supersonic flow of a radiating gas past plane and axisymmetric bodies: Acta Mechanica 73: 213220 (Springer).
 Singh, L. P., Sharma, V. D. and Ram, Rishi: 1989, Flow pattern induced by a piston impulsively moving in a perfectly conducting inviscid radiating gas: The Physics of Fluids B 1: 692697 (AIP).
 Singh, L. P., Sharma, V. D. and Ram, R.: 1989, Radiating gas flow past a slender body with an attached shock wave: ZAMM 69: 299304 (Wiley).
 Singh, L.P. and Sharma, V. D.: 1990, On the propagation of the weak shock waves in a radiating gas flow over a curved wall: Acta Astronautica 21: 777782 (Elsevier).
 Shukla, P., Sharma, R. R. and Singh, L. P.: 1994, Decay of saw tooth profile in chemically reacting gases: International Journal of Engineering Science 32: 527533 (Elsevier).
 Singh, L.P., Singh, D.B.and Ram, S.D.: 2009, On the propagation of small amplitude disturbances in electrically conducting gases: Jl. of Scientific Research: Physical Sciences 53: 259265.

Singh, Mithilesh, Singh, L.P. and Husain, Akmal: 2009, Nonstandard Analysis of Shock Wave in a Nonideal Magnetogasdynamics: International Journal of Computational and Applied Mathematics 4(1): 7582 (Darbose).
 Singh, Mithilesh, Singh, L.P. and Husain, Akmal: 2009, Self similar solution of strong cylindrical shock wave in magnetogasdynamics: Lagrangian description: International Journal of Applied Mathematics and Computation 1(4): 194205 (Research India Publications).
 Singh, L.P., Husain, Akmal and Singh, M.:2010, An approximate analytical solution of imploding strong shocks in a Nonideal gas through Lie group analysis: CHIN. PHYS. LETT. 27 (1): 01470214 (IOP).
 Singh, L.P., Husain, Akmal and Singh, M.: 2010, An analytical study of strong non planer shock waves in magnetogasdynamics: Advances in Theoretical and Applied Mechanics 3(6): 291297(Hikari).
 Singh, L.P., Ram S.D.and Singh D.B.: 2010, Propagation of Weak Shock Waves in NonUniform, Radiative Magnetogasdynamics: Acta Astronautica 67(34): 296300 (Elsevier).
 Singh, L.P., Singh, Mithilesh and Husain, Akmal: 2010, Nonstandard Analysis of Converging Shock Wave in a Nonideal gas: Journal of Engineering Physics and Thermo Physics 84(1): 412(Springer).
 Singh, L.P., Husain, Akmal and Singh, M.: 2010, A self similar solution of exponential shock waves in nonideal magnetogasdynamics: Meccanica 46(2): 437445(Springer).
 Singh, L.P., Husain, Akmal and Singh, Mithilesh: 2010, On the evolution of weak discontinuities in radiative magnetogasdynamics: Acta Astronautica 68(12): 1621 (Elsevier).
 Singh, M., Singh, L.P. and Husain, Akmal: 2010, Propagation of nonlinear travelling waves in Darcytype porous media, Acta Astronautica 67(910): 10531058 (Elsevier).
 Singh L.P., Singh M. and Pandey Bishun D.: 2010, Analytical Solution of converging Shock Wave in Magnetogasdynamics: AIAA Journal 48(11): 25232528.
 Singh, L.P., Singh, M. and Husain, Akmal: 2011, Similarity solutions for imploding shocks in nonideal magnetogasdynamics: Astrophysics & Space Science, 331(2): 597603 (Springer).
 Singh, L.P., Ram, S.D.and Singh, D.B.: 2011, Uniform solution for the flow past a slender body with an attached shock wave in Radiative Magnetogasdynamics: Acta Astronautica 68(78): 700706 (Elsevier).
 Singh, L. P., Husain, Akmal and Singh, M.: 2011, Evolution of weak discontinuities in a nonideal radiating gas: Commun in Nonlinear Sci and Numer Simulat 16 690–697 (Elsevier).
 L. P. Singh, D. B. Singh, S. D. Ram: 2011, Evolution of Weak Shock Waves in Perfectly Conducting Gases: Applied Mathematics 2(5): 653660 (Scientific Research).
 L. P. Singh, D. B. Singh, S. D. Ram: 2011, Propagation of Weak Shock Waves in a NonIdeal Gas: Central European Journal of Engineering 1(3): 287294 (Springer).
 L.P.Singh, S.D.Ram and D.B.Singh: 2011, Flow pattern induced by the plane piston moving in a nonideal gas with weak gravitational field Ain Shams Engineering Journal 2: 125131 (Elsevier).
 Mithilesh Singh, L.P. Singh and Akmal Husain: 2011, LandauStanyukovich rule and the similarity parameter of converging shock waves in magnetogasdynamics CHIN. PHYS. LETT. 28 (9) 0947014 (IOP).
 L.P.Singh, S.D.Ram and D.B.Singh: 2011, Exact solution of planar and nonplanar weak shock wave problem in gasdynamics Chaos, Solitons & Fractals 44: 964967 (Elsevier).
 L. P. Singh, S. D. Ram, D. B. Singh: 2011, Analytical solution of the blast wave problem in non ideal gas CHIN. PHYS. LETT. 28 (11): 11430313 (IOP).
 L. P. Singh, S. D. Ram, D. B. Singh: 2012, Quasi similar solution of blast wave problem in non ideal gas Astrophysics & Space Science, 337: 597604 (Springer).
 Lal P. Singh, Raghwendra Singh, S. D. Ram: 2012, Growth and decay of acceleration waves in nonideal gas flow with radiative heat transfer, Central European Journal of Engineering 2(3): 418424 (Springer).
 M. Singh, L. P. Singh and A. Husain: 2012, Converging Shock wave in a dusty gas through nonstandard analysis, Ain Shams Engineering Journal 3(3): 313319 (Elsevier).
 L. P. Singh, Raghwendra Singh, S. D. Ram: 2012, Evolution and Decay of Acceleration Waves in Perfectly Conducting Inviscid Radiative Magnetogasdynamics Astrophysics & Space Science,342: 371376 (Springer).
 L. P. Singh, S. D. Ram, D. B. Singh: 2013, The influence of magnetic field upon the collapse of a cylindrical shock wave Meccanica 48(4): 841850 (Springer).
 Shikha Gaur and L. P. Singh: 2013, Wavelet based adaptive solution of elliptic operator equations, International Journal of Advancements in Research and Technology 2(5): 8893 (Sci. Res. Pub.). Impact Factor: 0.4
 Shikha Gaur, L. P. Singh, Vivek Singh, P. K. Singh: 2013, Wavelet based multiscale scheme for twodimensional advectiondispersion equation Applied Mathematical Modelling 37: 40234034 (Elsevier).
 S. D. Ram, R. Singh and L. P. Singh: 2013, An Exact Analytical Solution of the Strong Shock Wave Problem in Nonideal Magnetogasdynamics Journal of Fluids 2013: 14(Hindawi).
 R. Singh, L.P. Singh and S.D. Ram: 2014, Acceleration waves in nonideal magnetogasdynamics, Ain Shams Eng J 5(1): 309313 (Elsevier).
 R. Singh and L. P. Singh: 2014, Solution of the Riemann Problem in magnetogasdynamics International Journal of NonLinear Mechanics 67(2014): 326330 (Elsevier).
 L. P. Singh, R. K. Gupta and T. Nath: 2015, On the decay of a sawtooth profile in non ideal magnetogasdynamics Ain Shams Engineering Journal 6(2015): 599604 (Elsevier).
 Himanshu Gupta, L. P. Singh: 2015, Simulation of DamBreak Problem using Random Choice Method Computers & Fluids 111(2015): 187196 (Elsevier).
 R. Singh, L. P. Singh: 2016, Growth and Decay Behaviour of a Sawtooth Profile in NonIdeal Gas Int. J. Appl. Comput. Math 2(2016): 203212 (Springer).
 L. P. Singh, D. B. Singh, S. D. Ram: 2016, Growth and Decay of Weak Shock Waves in Magnetogasdynamics Shock Waves 26(2016):709716 (Springer).
 R. K. Gupta, Triloki Nath and L. P. Singh: 2016, Solution of Riemann problem for dusty gas flow, International Journal of NonLinear Mechanics , 82(2016) : 8392 (Elsevier).
 Triloki Nath, R. K. Gupta and L. P. Singh: 2016, Evolution of weak shock waves in NonIdeal Magnetogasdynamics, Acta Astronautica 133(2017) 397402 (Elsevier).
 Trilioki Nath, R. K. Gupta and L. P. Singh: 2016, Solution of Riemann Problem for Ideal Polytropic Dusty Gas, Chaos, Solitons and Fractals 95(2017): 102110 (Elsevier).
 Triloki Nath, R. K. Gupta and L. P. Singh: 2017, Resonantly interacting nonlinear waves in a van der Waals gas,
Acta Astronautica 140(2017): 9195 (Elsevier).  Triloki Nath, R. K. Gupta and L. P. Singh: 2017, The progressive wave approach analyzing the evolution of shock waves in dusty gas, Int. J. Appl. Comput. Math. December 2017, Volume 3, Supplement 1, pp 1217–1228 (Springer).
 J.P. Chaudhary, L.P. Singh, Riemann problem and elementary wave interactions in dusty gas, Applied Mathematics and Computation, 342(2019):147165 (Elsevier).
 J.P. Chaudhary , S.D. Ram, L.P. Singh, The plane piston problem with weak gravitational field in a dusty gas, Journal of King Saud University – Science (2018) (Elsevier).
 J. P. Chaudhary, L. P. Singh, Exact Solution of the Weak Shock Wave in Nonideal Gas, Int. J. Appl. Comput. Math 4 (2018):136144 (Springer).
 Pooja Gupta, L.P. Singh, R. Singh, Riemann problem for nonideal polytropic magnetogasdynamic flow, International Journal of NonLinear Mechanics 112 (2019): 6–12 (Elsevier).
 Rahul Kumar Chaturvedi, Pooja Gupta, L.P. Singh, Evolution of weak shock wave in twodimensional steady supersonic flow in dusty gas, Acta Astronautica 160(2019) 552557 (Elsevier).
 Rahul Kumar Chaturvedi, Pooja Gupta, L.P. Singh, Solution of generalized Riemann problem for hyperbolic p−system with damping, International Journal of NonLinear Mechanics 117 (2019): 1–4 (Elsevier).
 Rahul Kumar Chaturvedi, Shobhit Kumar Srivastava, L.P. Singh, Evolution of acceleration waves in nonideal radiative magnetogasdynamics, Eur. Phys. J. Plus 134(2019): 564574 (Springer).
 Pooja Gupta, Rahul Kumar Chaturvedi, L.P. Singh, The propagation of weak shock waves in nonideal gas flow with radiation, Eur. Phys. J. Plus 135(2020):1731 (Springer).
 Rahul Kumar Chaturvedi, Shobhit Kumar Srivastava, L.P. Singh, Effect of solid dust particles on the propagation of shock wave in planar and nonplanar gasdynamics, Chinese Journal of Physics, 65 (2020): 114122. (Elsevier).
 Pooja Gupta, Rahul Kumar Chaturvedi, L.P. Singh, The generalized Riemann problem for the Chaplygin gas equation, European Journal of Mechanics  B/Fluids, 82(2020) 6165.
 Shobhit Kumar Srivastava, Rahul Kumar Chaturvedi and L. P. Singh, On the evolution of finite and small amplitude waves in nonideal gas with dust particles, Physica Scripta, 95 (6), 065205 (2020) (IOP).
 JP Chaudhary, LP Singh, Analytical Study of Weak Shock Waves in Gas with dust particles, National Academy Science Letters, 43(7): 643646 (2020).
 Rahul Kumar Chaturvedi, L.P. Singh. Riemann solutions to the logotropic system with a Coulombtype friction. Ricerche di mathematica, 1–14 (2020). (Springer).
 Rahul Kumar Chaturvedi, Pooja Gupta, Shobhit Kumar Srivastava, L.P. Singh, Evolution of C^{1} wave and its collision with the blast wave in one dimensional nonideal gasdynamics, Computational and Applied Mathematics 39:247(2020) (Springer).
 Pooja Gupta, Rahul Kumar Chaturvedi, LP Singh. Interaction of waves in onedimensional dusty gas flow, Zeitschrift für Naturforschung A 76(3)a::201208 (2021).
 Rahul Kumar Chaturvedi, L.P. Singh and D Zeidan , Delta Shock Wave Solution of the Riemann Problem for the Nonhomogeneous Modified Chaplygin Gasdynamics, Journal of Dynamics and Differential Equations, 33: 118 (2020). (Springer)
 Shobhit Kumar Srivastava, Rahul Kumar Chaturvedi and L. P. Singh, On the evolution of acceleration discontinuities in van der Waals dusty magnetogasdynamics, Zeitschrift für Naturforschung A 76(5)a:435443 (2021).
 Rahul Kumar Chaturvedi, L.P. Singh, The Phenomena of Concentration and Cavitation in the Riemann Solution for the Isentropic Zeropressure Dusty Gasdynamics, Journal of Mathematical Physics 62:0331011  15 (2021). (AIP, USA)
 President: BHU Mathematical Society from January 2021  continue
 Vice President: BHU Mathematical Society from 2012 to 31st December 2020..
 Joint Editor: Proceeding of BHU Mathematical Society from 2006 2011
 Member of Advisory Committee: “ National Workshop cum Training Programme on Advanced Numerical Techniques and Applications” organized by DST – CIMS Dept. of Mathematics, Faculty of Sciences, BHU Varanasi from June 29 – July 11, 2009.
 Organizing Secretary: National Conference on Mathematical Modeling and Computer Simulation organized by Dept. of Applied Mathematics(Under SAP), Institute of Technology, BHU Varanasi from March 25 – 27, 2011.
 Member of Advisory Committee: National Conference on Mathematical Modeling and Computer Simulation organized by Dept. of Applied Mathematics(Under SAP), Institute of Technology, BHU Varanasi from March 23 – 25, 2012.
 Life member of Mathematical Society of Banaras Hindu University Varanasi.
 Course Coordinator AICTE sponsored QIP Short Term Course on Advanced Numerical and Analytical Methods for Engineers and Scientists (NAMES2017) organised by Department of Mathematical Sciences, IIT(BHU) Varanasi during January 1218, 2017.
 Program Cochair “4^{th} International Conference on Mathematics and Computing 2018 (ICMC 2018) held at IIT BHU Varanasi during January 911, 2018.”
 Reviewer in Mathematical Reviews.
 Reviewer of many Journals.
 VicePresident, IT Gymkhana, 200708.
 Warden, Morvi Hostel, B.H.U. from 01062005 to 31052008.
 Admin. Warden, Morvi Hostel, B.H.U. from 01062008 to 31052012.
 Chairman, AntiRagging Squad IIT(BHU) From Aug. 2015June 2016.
 Head, Department of Mathematical Sciences, IIT(BHU), Varanasi Since 04 Nov. 2015 to 03 November 2018.
 Chairman, Council of Wardens, IIT(BHU) Hostels Since April 12 2018.to 31st December 2020.
 Dean, Student Affairs, IIT(BHU) since 1st January 2021
 Institute of Technology, BHU minor Project, 2006 Title of the project: Numerical and Analytical Studies of Non – linear Waves in Gas dynamics

AGRIUNIS: Sponsored by Department of Science &Technology Status: Local Coordinator at RAU, Pusa
 AGROMET spectral yield modeling of rice and wheat for the districts of Bihar Sponsored by SAC, Ahmedabad. Status: Team member, Local Unit at RAU, Pusa. Collaborators: SAC, Ahmedabad; BIRSAC, Patna & RAU, Pusa.
 Dutta, Sujay, Patel, N. K., Sharma, S. D., Singh, L. P., Singh, S. P. and Srivastava, S. K.: 1999, District wise Agro meteorological yield Models of Wheat in North Bihar: Presented at “National Symposium on Remote Sensing Application for National Resources: Retrospective and Perspective”, Banglore, January 1921.
 Singh, L.P., Ram, S.D.and Singh, D.B.: 2009, On the Propagation of Weak Shock Waves in a Radiating Gas, Proceedings of Mathematical Society, Banaras Hindu University 24: 145152.
 Singh, L.P., Singh, D.B.and Ram, S.D.: 2011, Propagation of Small Amplitude Disturbances in an Electrically Conducting Gas with Finite Electrical Conductivity, Proceedings of Nationtional Conference on Mathematical Modelling and Computer Simulation,March 2527, Institute of Technology, Banaras Hindu University, Varanasi, INDIA, 6973
 R. Singh, S.D. Ram and L.P. Singh: 2011, Evolution and Decay of Weak Shock Waves in Nonideal Reactive Flow Proceedings of Mathematical Society, Banaras Hindu University 27: 7789.
 Shikha Gaur and L. P. Singh 2011, Wavelet Schur Complement Method for Matrix Compression Proceedings of National Conference on Mathematical Modelling and Computer Simulation,March 2527, Institute of Technology, Banaras Hindu University, Varanasi, INDIA.
 Delivered invited talk in 28th Annual Conference of Mathematical Society BHU at BIT Patna Dec. 0304, 2012.
 Delivered invited talk in 18th Annual cum 1st International Conference of Vijnana Parishad of India on Computational and Integrative Sciences & International Symposium on Computational Biology organized by Department of Mathematics, Bioinformatics & Computer Applications, MANIT, Bhopal during Dec. 1114, 2015.
 Delivered a lecture in two weeks Faculty Development Programme on "Simulation and Mathematical Tools for Engineering Research" Organized by Department of Electronics Engineering at KNIT Sultanpur (UP) from July 0415, 2016.
 Delivered invited talk on "Dam Break Problem" in one week Short Term Course on "Role of Mathematical Sciences in Engineering and Technology" held at Department of Mathematics, MANNIT, Allahabad during October 1923, 2016.
 Delivered lectures in AICTE sponsored QIP Short Term Course on Advanced Numerical and Analytical Methods for Engineers and Scientists (NAMES2017) as Expert Guest Speaker organised by Department of Mathematical Sciences, IIT(BHU) Varanasi during January 1218, 2017.
 Delivered lectures in AICTE sponsored QIP Short Term Course on Algebra, Analysis and Application (AAA) as Expert Guest Speaker Organised by Department of Mathematical Sciences, IIT(BHU) Varanasi during July 0308, 2017.
 Expert Guest Speaker: GIAN Course on “Theory and Computation of Singularly Perturbed Differential Equations” Organised at the Department of Mathematical Sciences, IIT(BHU) during December 0408, 2017.
 Expert Lecture: Perturbation Theory and Asymptotic Expansions, at SVNIT Surat on December 06, 2018.
 Expert Guest Speaker: Workshop on “Exploring Some Applications of Mathematical Sciences”.Institute of Science, BHU, Varanasi, January 19, 2019.
 Invited Lecture: On the topic "Modelling and Simulation – General Concepts" at Magadh University, Bodh Gaya, Bihar on March 16, 2019.
 Delivered Expert Lecture QIP short term course : “Advanced Numerical Scheme for Scientists and Engineers”(ANSSE2019)  “On Error analysis involved in Finite Difference Methods for PDE’s” at Department of Mathematical Sciences, IIT(BHU) Varanasi from August 1216 2019.
 Delivered Expert Lecture QIP short term course : “Mathematical Modelling and Analysis on Continuum Mechanics”(MMACM2019)  “Progressive Wave Solution” at Department of Mathematical Sciences, IIT(BHU) Varanasi from September 0915 2019.
 Keynote speaker in Fourth Malviya Research Conclave (MRC2020) Madan Mohan Malaviya University of Technology Gorakhpur273010 from February 2224, 2020 – “Hyperbolic System of Conservation Laws and Weak Solutions”.
 Expert Lecture: Workshop on “Mathematics and it’s Application” during the period 0812 March, 2021 at SVNIT Surat on the topic “Hyperbolic System of Conservation Laws and Weak Solutions”.
 Expert Lecture: National Workshop on “Popularization, Improvement and Quality Education in Science and Mathematics and its Impact for School Students and Teachers  Part II”, organized in Raja Harpal Singh Post Graduate College, Singramau, Jaunpur, Uttar Pradesh under the auspicious of Ramanujan Society of Mathematics and Mathematical Sciences during March 0407, 2021 on the topic “Number Systems”.