lpsingh.apm's picture
Dr. Lal Pratap Singh
Professor
Department of Mathematical Sciences,IIT BHU.
lpsingh.apm@iitbhu.ac.in
.
Area of Interest: 
Non-Linear Waves, Computational Fluid Dynamics

Contact Details:
                                 Prof. L. P. Singh
                            Office Address: Department of Mathematical Sciences, Indian Institute of Technology(BHU), Varanasi - 221005 (U.P.) India.
                            Residence Address: P-22 New Medical Enclave, Naria, BHU Campus, Varanasi - 221005 (U. P.) India.
                            Phone: +91 94518 95174 (Mob.) 
                                        +91 542 2367057 (Res.)
                           E-mail: lpsingh.apm@iitbhu.ac.inlpsingh.apm@gmail.com

Research Areas: 
                             
 Hyperbolic Partial Differential Equations, Fluid Dynamics, Computational Fluid Dynamics.
    

​​  B. Sc. (1979): Banaras Hindu University
  M. Sc.(1981): Banaras Hindu University
 Ph. D. (1988): Banaras Hindu University
Sl. No. Name of Student Thesis Title Status (Awarded/Submitted/Ongoing)
1. Mithilesh Singh Some studies on propagation of non-linear waves in gaseous media. Awarded
2. Akmal Husain Some Investigations Concerning Propagation of Non-linear 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 Advection-Dispersion Equation using Wavelets. Awarded
6. Raghwendra Singh Study of Certain Aspects of Nonlinear Waves in Gaseous Media. Awarded
7. Triloki Nath Some Investigations on Non-linear 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   Ongoing
10. Pooja Gupta   Ongoing
11. Rahul Kumar Chaturvedi   Ongoing
12. Shobhit Kumar Srivastava   Ongoing
  1. Singh, L.P., Kumar, A. and Shyam, R.: 1984, Flow Behind an attached shock wave in a radiating gas : Astrophysics & Space Science106:  81-82 (Springer).
  2. Shyam, Radhe, Singh, L.P. and Sharma, V.D.: 1986, Steepening of waves in a radiative magneto hydrodynamics: Acta Astronautica 13 : 95-100 (Elsevier).
  3. 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: 1572-1574 (AIP).
  4. Sharma, V.D., Shyam, R. and Singh, L.P.: 1987, Shock formation distance in a two-dimensional steady supersonic flow over a concave corner in radiative magneto gas-dynamics: ZAMM 67: 87-92 (Wiley).
  5. 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:  131-137(Springer).
  6. 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:  213-220 (Springer).
  7. 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: 692-697 (AIP).
  8. Singh, L. P., Sharma, V. D. and Ram, R.: 1989, Radiating gas flow past a slender body with an attached shock wave: ZAMM 69: 299-304 (Wiley).
  9. 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: 777-782 (Elsevier).
  10. 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: 527-533 (Elsevier).
  11. 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: 259-265.
  12. Singh, Mithilesh, Singh, L.P. and Husain, Akmal: 2009, Nonstandard Analysis of Shock Wave in a Non-ideal Magnetogasdynamics: International Journal of Computational and Applied Mathematics 4(1): 75-82 (Darbose).

  13. 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): 194-205 (Research India Publications).
  14. Singh, L.P., Husain, Akmal and Singh, M.:2010, An approximate analytical solution of imploding strong shocks in a Non-ideal gas through Lie group analysis: CHIN. PHYS. LETT.  27 (1): 014702-1-4 (IOP).
  15. 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): 291-297(Hikari).
  16. Singh, L.P., Ram S.D.and Singh D.B.: 2010, Propagation of Weak Shock Waves in Non-Uniform, Radiative Magnetogasdynamics: Acta Astronautica 67(3-4): 296-300 (Elsevier).
  17. Singh, L.P., Singh, Mithilesh and Husain, Akmal:  2010, Nonstandard Analysis of Converging Shock Wave in a Non-ideal gas: Journal of Engineering Physics and Thermo Physics 84(1): 4-12(Springer).
  18. Singh, L.P., Husain, Akmal and Singh, M.: 2010, A self similar solution of exponential shock waves in non-ideal magnetogasdynamics: Meccanica 46(2): 437-445(Springer).
  19. Singh, L.P., Husain, Akmal and Singh, Mithilesh: 2010, On the evolution of weak discontinuities in radiative magnetogasdynamics: Acta Astronautica 68(1-2): 16-21 (Elsevier).
  20. Singh, M., Singh, L.P. and Husain, Akmal: 2010, Propagation of nonlinear travelling waves in Darcy-type porous media, Acta Astronautica 67(9-10): 1053-1058 (Elsevier).
  21. Singh L.P., Singh M. and Pandey Bishun D.: 2010, Analytical Solution of converging Shock Wave in Magnetogasdynamics: AIAA Journal 48(11): 2523-2528.
  22. Singh, L.P., Singh, M. and Husain, Akmal: 2011, Similarity solutions for imploding shocks in non-ideal magnetogasdynamics: Astrophysics & Space Science, 331(2): 597-603 (Springer).
  23. 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(7-8): 700-706 (Elsevier).
  24. Singh, L. P., Husain, Akmal and  Singh, M.: 2011, Evolution of weak discontinuities     in a non-ideal radiating gas: Commun in Nonlinear Sci and Numer Simulat 16 690–697 (Elsevier).
  25. L. P. Singh, D. B. Singh, S. D. Ram: 2011, Evolution of Weak Shock Waves in Perfectly Conducting Gases: Applied Mathematics 2(5): 653-660 (Scientific Research).
  26. L. P. Singh, D. B. Singh, S. D. Ram: 2011, Propagation of Weak Shock Waves in a Non-Ideal Gas: Central European Journal of Engineering 1(3): 287-294 (Springer).
  27. L.P.Singh, S.D.Ram and D.B.Singh: 2011, Flow pattern induced by the plane piston moving in a non-ideal gas with weak gravitational field Ain Shams Engineering Journal 2: 125-131 (Elsevier).
  28. Mithilesh Singh, L.P. Singh and Akmal Husain: 2011, Landau-Stanyukovich rule and the similarity parameter of converging shock waves in magnetogasdynamics CHIN. PHYS. LETT.  28 (9) 094701-4 (IOP).
  29. 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: 964-967 (Elsevier). 
  30. 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): 114303-1-3 (IOP).
  31. 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: 597-604 (Springer).
  32. Lal P. Singh, Raghwendra Singh, S. D. Ram: 2012, Growth and decay of acceleration waves in non-ideal gas flow with radiative heat transfer, Central European Journal of Engineering 2(3): 418-424 (Springer).
  33. 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): 313-319 (Elsevier).
  34. 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: 371-376  (Springer).
  35. 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): 841-850 (Springer). 
  36. 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): 88-93 (Sci. Res. Pub.). Impact Factor: 0.4  
  37. Shikha Gaur, L. P. Singh, Vivek Singh, P. K. Singh: 2013, Wavelet based multiscale scheme for two-dimensional advection-dispersion equation Applied Mathematical Modelling 37: 4023-4034 (Elsevier).
  38. 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: 1-4(Hindawi).
  39. R. Singh, L.P. Singh and S.D. Ram: 2014,  Acceleration waves in non-ideal magnetogasdynamics Ain Shams Eng J 5(1): 309-313 (Elsevier).
  40. R. Singh and L. P. Singh: 2014, Solution of the Riemann Problem in magnetogasdynamics International Journal of Non-Linear Mechanics 67(2014): 326-330 (Elsevier).
  41. 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): 599-604 (Elsevier).
  42. Himanshu Gupta, L. P. Singh: 2015, Simulation of Dam-Break Problem using Random Choice Method Computers & Fluids 111(2015): 187-196 (Elsevier).
  43. R. Singh, L. P. Singh: 2016, Growth and Decay Behaviour of a Sawtooth Profile in Non-Ideal Gas Int. J. Appl. Comput. Math 2(2016): 203-212 (Springer).
  44. L. P. Singh, D. B. Singh, S. D. Ram: 2016, Growth and Decay of Weak Shock Waves in Magnetogasdynamics Shock Waves 26(2016):709-716  (Springer).
  45. R. K. Gupta, Triloki Nath and L. P. Singh: 2016, Solution of Riemann problem for dusty gas flow, International Journal of Non-Linear Mechanics , 82(2016) : 83-92 (Elsevier).
  46. Triloki Nath, R. K. Gupta and L. P. Singh: 2016, Evolution of weak shock waves in Non-Ideal Magnetogasdynamics, Acta Astronautica 133(2017) 397-402 (Elsevier).
  47. 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): 102-110 (Elsevier).
  48. Triloki Nath, R. K. Gupta and L. P. Singh: 2017, Resonantly interacting nonlinear waves in a van der Waals gas,
    Acta Astronautica 140(2017): 91-95 (Elsevier).
  49. 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).
  50. J.P. Chaudhary, L.P. Singh,  Riemann problem and elementary wave interactions in dusty gas, Applied Mathematics and Computation, 342(2019):147-165 (Elsevier).
  51. J.P. Chaudhary , S.D. Ram b, L.P. Singh, The plane piston problem with weak gravitational field in a dusty gas, Journal of King Saud University – Science (2018) (Elsevier).
  52. J. P. Chaudhary, L. P. Singh, Exact Solution of the Weak Shock Wave in Non-ideal Gas, Int. J. Appl. Comput. Math 4 (2018):136-144 (Springer).
  1. Joint Editor: Proceeding of BHU Mathematical Society from 2006 -2011.
  2. Vice President: BHU Mathematical Society from 2012- onwards
  3. 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.
  4. 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.
  5. 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.
  6. Life member of Mathematical Society of Banaras Hindu University Varanasi.
  7. Course Coordinator AICTE sponsored QIP Short Term Course on Advanced Numerical and Analytical Methods for Engineers and Scientists (NAMES-2017) organised by Department of Mathematical Sciences, IIT(BHU) Varanasi during January 12-18, 2017.
  8. Program Co-chair- “4th International Conference on Mathematics and Computing 2018 (ICMC 2018) held at IIT BHU Varanasi during January 9-11, 2018.”
  9. Reviewer of many Journals.
  • Vice-President, IT Gymkhana, 2007-08.
  • Warden, Morvi Hostel, B.H.U. from 01-06-2005 to 31-05-2008.
  • Admin. Warden, Morvi Hostel, B.H.U. from 01-06-2008 to 31-05-2012.
  • Chairman, Anti-Ragging Squad IIT(BHU) From Aug. 2015-June 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.
  • 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.
  1. 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 19-21.
  2. 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: 145-152.
  3. 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 25-27, Institute of Technology, Banaras Hindu University, Varanasi, INDIA, 69-73
  4. R. Singh, S.D. Ram and L.P. Singh: 2011, Evolution and Decay of Weak Shock Waves in Non-ideal Reactive Flow Proceedings of Mathematical Society, Banaras Hindu University 27: 77-89.
  5. 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 25-27, Institute of Technology, Banaras Hindu University, Varanasi, INDIA. 
  • Delivered invited talk in 28th Annual Conference of Mathematical Society BHU at BIT Patna Dec.  03-04, 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. 11-14, 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 04-15, 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 19-23, 2016.
  • Delivered lectures in AICTE sponsored QIP Short Term Course on Advanced Numerical and Analytical Methods for Engineers and Scientists (NAMES-2017) as Expert Guest Speaker organised by Department of Mathematical Sciences, IIT(BHU) Varanasi during January 12-18, 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 03-08, 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 04-08, 2017.
  • Ashish Jain 2010:  A Optical Character Recognition Framework Design For Mobile Phones.
  • Harshit Dwivedi 2011: Engineering A Fast Parallel Maximum Satisfiability Solver.
  • Deepak Gupta 2011: Context Preserving Volume Rendering Medical Visulization.
  • Animesh Anand 2012: Novel Digital ImageWatermarking Method Using Spread Spectrum Technique.
  • Ankit Kumar Singh 2012: The use of Parallel Computing for Solving CFD Problems.
  • Ankit Gupta: 2013: Performance comparision of 1-D Eluer Equations for a shock tube problem using serial and parallel processing.
  • Himanshu Gupta 2014: Study of Dam-Break Problem using Serial and Parallel Processing.
  • Vatsal Juneja 2015: Biz: Manager: A new architecture for an Android application for e-commerce store management.
  • Akshay Upadhyay 2015: Numerical Simulation of Shallow Water Equations using Random Choice Method.
  • Abhinav 2016: Logical Approach to Code Generation and Optimization.
  • Anup Kumar Gupta 2016: Simulation of Shock Tube Problem using Parallel Processing on GPU.
  • Ejner Jasmine 2017: Prediction of resale price of used cars using data analysis and machine learning.
  • Abhinav Gupta 2017: Word2Vec and Recurrent Neural Network for Collaborative Filtering.
  • Abhishek Bind 2018: Simulation of shock tube problem using Roe Solver and Parallel Processing.
  • Arfa Usmani 2018: The shock tube problem in one and two phase flow.