Dr. A. K. Lal

Professor

Specialization

Theoretical Astrophysics, Reliability Analysis and Numerical Analysis

Email

aklal@thapar.edu

Specialization

Theoretical Astrophysics, Reliability Analysis and Numerical Analysis

Email

aklal@thapar.edu

Contact No

+91-9915-306-542

Professor

aklal@thapar.edu

Biography

Dr. Arvind Kumar Lal has been serving as a Professor in the School of Mathematics at Thapar Institute of Engineering & Technology (TIET), Patiala, since 2017. He obtained his Master degree (M.Sc.) in Mathematics from Bihar University, Muzaffarpur, in 1987, and completed his Ph.D. in Mathematics at the University of Roorkee (now IIT Roorkee) in 1995. Prior to his appointment at TIET in January 1996, Dr. Lal was a Lecturer in Mathematics at the Technological Institute of Textile and Science, Bhiwani, from January 1994 to March 1995. With over 25 years of experience in teaching both undergraduate and postgraduate mathematics courses at TIET, Dr. Lal has mentored ten Ph.D. and eighteen M.Sc. students. His research contributions include the publication of 64 papers in peer-reviewed journals, of which 30 are in SCI-indexed journals, 27 in non-SCI journals, and 7 in conference proceedings. He has successfully completed five research projects and is currently leading one ongoing project, serving as the Principal Investigator for all of them. Dr. Lal also held the position of Head of the School of Mathematics at TIET, Patiala, from May 11, 2015, to June 15, 2018. In addition to his academic responsibilities, he has played a significant role in various administrative duties both within and outside the institute.

Education

  • Ph.D. (1995) in Mathematics from University of Roorkee (Presently, I.I.T., Roorkee)
  • M.Sc. (1987) in Mathematics from Bihar University, Muzaffarpur
  • B.Sc. Hons. (1984) in Mathematics from Bihar University, Muzaffarpurr
  • I. Sc. (1980) from Langat Singh College, Muzaffarpurr
  • Matriculation (1978) from Bihar State Education Board, Patna

Experience: Total Teaching Experience: More than 28 years

  • Professor, Department of Mathematics, Thapar Institute of Engineering and Technology (Deemed to be University), Patiala, Punjab (July 10, 2017 - Till date).
  • Associate Professor, School of Mathematics and Computer Applications, Thapar Institute of Engineering and Technology (Deemed to be University), Patiala, Punjab (October 2007 to July 9, 2017).
  • Assistant Professor, School of Mathematics and Computer Applications, Thapar Institute of Engineering and Technology (Deemed to be University), Patiala, Punjab (October 2004 - September 2007).
  • Lecturer, School of Basic and Applied Sciences, Thapar Institute of Engineering and Technology (Deemed to be University), Patiala, Punjab (January 11, 1996 to October 2004) .
  • Lecturer, Technological Institute of Textile and Sciences, Bhiwani, Haryana (January 15,1994 – April 1995) .

Teaching Interests:

  • Calculus
  • Numerical Analysis
  • Linear Algebra, Differential Equations, Laplace Transformation and Fourier Series
  • Complex Analysis
  • Discrete Mathematical Structure
  • Statistics
  • Numerical and Statistical Methods

Research Interest :

  • Stellar Structure and Pulsation
  • Reliability Analysis
  • Numerical Analysis

Supervision of Thesis:

M.Phil. / M.Sc.

M. Phil

Eigenfrequencies of pseudo radial modes of oscillations of differentially Rotating Polytropic Models of Stars assuming a generalized law of differential rotation of the type (Ms. Manu Verma, 2007)

M. Sc.

Effects of Rotation and Tidal Distortions on Isothermal Models of Stars (Ms. Vrtika, 2023).

Effects of Magnetic Field on Rotationally and Tidally Distorted White Dwarf Models ofStars (Ms. Rhythm, 2023).

Behavioural analysis of rice manufacturing plant (Ms. Harpreet Kaur, 2019).

Reliability and availability of piston ring manufacturing plant (Ms. Jasleen Kaur, 2019).

Performance Analysis of Tyre Mounting Hub Leakage in JCB ROBOT 135 Machine (Ms. Jyoti Singh, 2017).

Roche coordinates for rotationally and magnetically distorted binary stars (Ms. Palak Singla, 2017).

Effects of magnetic field and tidal force on the motion of a particle orbiting a Preston – Poisson black hole (Mr. Sahil Kumar Bhardwaj, 2017).

Equilibrium structures of rotationally, tidally and magnetically distorted polytropic models of stars (Ms. Vatsala Sharma, 2016).

Effects of eccentric orbits and asynchronous on the equilibrium structures of rotationally and tidally distorted polytropic models of stars (Ms. Nikita Madan, 2016).

System of Roche Coordinates of Rotationally and Tidally Distorted Stars in Presence of Coriolis force (Ms. Navjot Kaur, 2014).

Mathematical Analysis of Reliability and Availability of Soap Manufacturing Industry (Ms. Neenu Goyal, 2013).

Equilibrium Structures of Non-synchronously rotating and tidally distorted stars (Ms. Hanspreet Kaur, 2012).

Equilibrium Structure of Aligned and Non-Synchronously Rotating Binary Systems (Ms. Jaspreet Kaur, 2012).

Effect of Coriolis force on the equilibrium structure of rotationally and tidally distorted white dwarf and Prasad model of stars (Ms. Aishni Singal, 2012).

Reliability and Availability Analysis of Timber Manufacturing Plant (Mr. Hitesh Sood, 2013).

Algorithmic Approach to Study Equilibrium Structures of Rotationally and Tidally Distorted Stellar Model (Mr. Hamit Kumar, 2011).

Equilibrium Structures and oscillations of rotationally and tidally distorted white dwarf model of stars. (Mr. Tarun Kumar, 2010).

A Statistical Analysis of the Attitude of the Users towards Library of the Thapar University, Patiala and the Punjabi University, Patiala (Ms. Dilpreet Kaur, 2009).

Reliability Analysis of Piston Manufacturing Plant (Ms. Sneh Lata, 2009).

A comparative study of classical and quantum computing with analysis of logic gates. (Mr. Anil Kumar, 2009).

Ph.D.

Interactive Decision Support for Student Scheduling and Incremental Change in Large Scale Time Tabling (Mr. Sanjeev Guleria, 2023).

A study of Anharmonic pulsation of rotationally and tidally distorted stars with Ankush Pathania (Mr. Tarun Kumar, 2019).

Stochastic Modelling and Cost Analysis of Some Industrial Systems with S. S. Bhatia and R. K. Tuteja. (Ms. Archana Khurana, October, 2018).

Optimal Software Reliability and Optimal Scheduling Problems with C. Mohan (Ms. Poonam Pawar, August, 2017).

Reliability, Availability and Maintainability (RAM) Analysis of an Industrial Process with S.S. Bhatia and A. S. Reddy (Ms. Manwinder Kaur, August, 2014).

Fitted Mesh Methods for the Numerical Solution of Singularly Perturbed Problems with R. K. Bawa (Mr. Vinod Kumar, October, 2013).

Reliability Modelling and Analysis of Some Industrial Process Systems with S. S. Bhatia (Ms. Sakuntala, February, 2013).

Vibrational Stability of Differentially Rotating Gaseous Sphere with V. P. Singh and Rajendra Kumar (Mr. Sunil Kumar, November, 2011).

Modelling and Analysis of Software Reliability using Markovian Method with R. K. Bawa (Mr. Navdeep Singh Jaggi, October, 2010).

Analytic and Computational Studies of structures and Oscillations of Stars and stars in Binary system (Mr. Ankush Pathania, April, 2010).

Mathematical Analysis of Availability and Reliability of Some Process Industries with R. K. Sharma and Jai Singh (Mr. Pawan Gupta, 2004).

Ongoing:

Study of the Structures and Oscillations of Stars in Binary Systems using Roche Approximation. (Ms. Bulbul, 25.4.2023).

Sponsored Research Projects:

Mathematical Modelling of equilibrium structures and oscillations of rotating stars in binary systems using modified Roche equipotential, sponsored by Council of Scientific and Industrial Research, New Delhi for three years and sanctioned amount :14.00 Lakhs (August 2017 to October 2020).

Reliability, Availability and Maintainability (RAM) Analysis of Industrial Process, funded by University Grant Commission, New Delhi for three years and sanctioned amount: Rs. 9, 08,502 (May, 2009 - October, 2012).

Numerical Analysis of Structures and Oscillations of Rotating Stars funded by University Grant Commission, New Delhi and sanctioned amount: Rs. 90,000 for the period of three years (2006-2008)

Mathematical Modelling of Structures and Oscillations of Stellar Systems in the Rotating Frame of Reference sponsored by University Grant Commission, New Delhi for three years and sanctioned amount: Rs 3, 58,791 (July, 2003 June, 2006)

UGC minor project entitled Study on Equilibrium Structures and Oscillations of Rotating Stars, Rs. 12, 000/ Period 1998-99.

UGC minor project entitled Eigenfrequencies of Differentially Rotating White Dwarf Stars of Rs. 6, 000/ Period 2001-02.

Patent Published::

Sponsored Research Projects:

Title of Invention: A System of Smart Shopping with AR/VR Technology

Application Number: 202311066587

Publication Date: (U/S 11A) 20.10.2023

Publication number: 42/2023

Field of invention: Computer Science

Applicant Name: Maharishi Markandeswar (Deemed to be University)

Inventors: Dr. Satish Kumar, Dr. Poonam Panwar, Lakshya Pratap Rana, Dr. Arvind Kumar Lal, Dr. Chetna Kaushal, Dr. Amandeep Kaur, Siddharth Verma, Paras Vashist, Paramveer Singh

Publications:

Publications in SCI Indexed Journal.

  1. Sanjeev K. Guleria and Arvind K. Lal, Interactive Decision Support System for Planned Student Scheduling using Some time scheduling in Timetable, Modern Physics Letter – B, Vol. 33, No.13, 195016, 2019 (I. F.: 0.731).
  2. Tarun Kumar, Ankush Pathania and Arvind Kumar Lal, Effect of interaction of the various modes on the radial velocity curves of the polytropic models of rotationally and tidally distorted pulsating variable stars, Research in Astronomy and Astrophysics, Vol.8, No. 12, 149, 2018 (I. F.: 1.512).
  3. Tarun Kumar, Arvind Kumar Lal, and Ankush Pathania, Effects of rotation and tidal distortions on the shapes of radial velocity curves of polytropic models of pulsating variable stars, Research in Astronomy and Astrophysics, Vol. 18(6), 63, 2018 (I. F.: 1.512).
  4. Rachna Kumari, A. K. Lal, S. S. Bhatia and R. K. Tuteja, Reliability and economic analysis of a system consisting of two dissimilar units with variation in production, Ciencia e Tecnica Vitivinicola journal- A Science and Technology Journal, Vol. 32, no. 8, p. -384, 2017 (I. F.: 0.444).
  5. Seema Saini, Sunil Kumar, and A. K. Lal, Effect of mass variation on the radial oscillations of differentially rotating and tidally distorted polytropic stars, Astrophysics, Vol. 58, No. 2, 296-307, 2015 (I. F.: 0.707).
  6. Sunil Kumar, A. K. Lal, and Seema Saini, Vibrational stability of differentially rotating polytropic stars, Astrophysics, Vol. 58, No. 1, 120-130, 2015. (I. F.: 0.707).
  7. Vinod Kumar, Rajesh Kumar Bawa and A. K. Lal, A robust computational technique for a system of singularly perturbed reaction - diffusion equations, International Journal of Applied Mathematics and Computer Science, Vol. 24, issue 2, p.387-395, 2014 (I. F.: 1.008).
  8. Sunil Kumar, A. K. Lal, and Seema Saini, Equilibrium structure of rotationally and tidally distorted Prasad model including the effect of mass variation inside the stars, Astrophysics, Vol. 57, No.1, 119-129, 2014 (I. F.: 0.707).
  9. Ankush Pathania, A. K. Lal, and C. Mohan, On the use of the Roche Equipotential in Analysing the Problems of Binary and Rotating Stars, Journal of Astrophysics and Astronomy, Vol. 34, 69-73, 2013 (I. F.: 0. 500).
  10. Manwinder Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy. Numerical solution of Stochastic differential difference equation arising in reliability engineering, Applied Mathematics and Computation, Vol. 219, issue 14, 7645-7652, 2013 (I. F.: 1.60)).
  11. Arvind Kumar Lal, Tarun Kumar and Ankush Pathania, Eigenfrequencies of rotationally and tidally distorted white dwarf models of stars, Astrophysics and Space Science, Vol. 345, issue 1, p. 155-167, May 2013 (I. F.: 2.401).
  12. Vinod Kumar, R. K. Bawa and A. K. Lal, A Hybrid Initial Value Technique for Singularly Perturbed Boundary Value Problems, Computational and Applied Mathematics, Vol. 32(1), 163-177, 2013 (I. F.: 0.485).
  13. Vinod Kumar, Rajesh Kumar Bawa and A. K. Lal, A robust computational technique for a system of singularly perturbed convection-diffusion equations, International Journal of Computational Methods, Vol. 10(5), 1350027, 2013 (I. F.: 0.48).
  14. Manwinder Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy, On the use of corrective maintenance data for preventively maintained textile industry, Journal of Reliability and Statistical Studies, Vol. 6, Issue 2, 151-163, 2013 (I.F. :0.9).
  15. Ankush Pathania, A. K. Lal, C. Mohan and T. Medupe, The Kippenhahn and Thomas averaging method for the structure of rotating stars, Bulletin of Astronomical Society of India, Vol. 40, 41-50, 2012 (I. F.: 0.83).
  16. Ankush Pathania, A. K. Lal and C. Mohan, Structures and oscillations of rotationally and tidally distorted stars polytropic models of stars in presence of the Coriolis force, Proceeding of Royal Society A: Mathematical Physical and Engineering Sciences, Vol. 468, 448-466, 2012 (I. F.: 2.891).
  17. Rajesh Bawa, Arvind K. Lal and Vinod Kumar, An e-uniform Hybrid Scheme for Singularly Perturbed Delay Differential Equation, Applied Mathematics and Computation, 217(21), 8216-8222, 2011 (I. F.: 1.60).
  18. Shakuntala, A. K. Lal, and S. S. Bhatia, Comparative study of the subsystems subjected to independent and simultaneous failures, Eksploatacia I Niezawodnosc - Maintenance and Reliability (Polish Academy of Maintenance), 4, 63-71, 2011 (I. F.: 0.505).
  19. Shakuntala, A. K. Lal, S. S. Bhatia, and J. Singh, Reliability Analysis of Polytube industry using Supplementary Variable Technique, Applied Mathematics and Computations, Vol. 2818(8), 3981-3992, 2011, (I.F.: 1.60).
  20. A. K. Lal, Ankush Pathania, Alka Bhalla and C. Mohan, Effects of differential rotations on the eigenfrequencies of small adiabatic barotropic modes of oscillations of polytropic models of stars, Journal of Physics A Mathematical and Theoretical (IOP), 42, 485212, 2009 (I. F.: 1.687).
  21. A. K. Lal, Ankush Pathania and C. Mohan, Effect of Coriolis force on the shapes of rotating stars and stars in binary systems, Astrophysics and space Science, 319, 45-53, 2009 (I. F.: 2.401).
  22. A. K. Lal, Ankush Pathania and C, Mohan., Effect of Coriolis force on the equilibrium structures of rotating stars and stars in binary system, Astrophysics and space science, 315, 157-165, 2008 (I. F.: 2.401).
  23. A. K. Lal, Seema Saini and C. Mohan, On the validity of series solution being used for the position of a point on a Roche equipotential, Astrophysics and Space science, 310, 317-320, 2007 (I. F.: 2.401).
  24. Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Analysis of Reliability and Availability of Serial Processes of Plastic - Pipe Manufacturing Plant - A case study, International Journal of Quality and Reliability Management), 24(4), 404-419, 2007).
  25. A. K. Lal, Seema Saini, C. Mohan and V. P. Singh, Equilibrium Structures of Rotationally and Tidally Distorted Polytropic Models of Stars, Astrophysics and Space Science, 306, 165-169, 2006 (I. F.: 2.401).
  26. Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Numerical Analysis of Reliability and Availability of the Serial Process in butter oil Processing Plant, International Journal of Quality and Reliability Management. 22(2), 303-316, 2005. (I.F:2.7) .
  27. A. K. Lal, C. Mohan and V. P. Singh, Eigenfrequencies of Small Adiabatic Barotropic Modes of Oscillations of Differentially rotating Polytropic Stars in Binary Systems, Indian Journal of Pure and Applied Mathematics, 32 (12), 1765, 2001 (I. F.: 0.206)).
  28. C. Mohan, A. K. Lal and V. P. Singh, Effects of Differential Rotation on the Eigen- frequencies of Small Adiabatic Barotropic Modes of Oscillations of the Stars, Indian Journal of Pure and Applied Mathematics, 2(2),199-220,1998 (I. F.: 0.206).
  29. C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating Primary Components of Binary Stars, Astrophysics Space Science, 254, 87-109, 1997 (I. F.: 2.401).
  30. C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating White Dwarf Models of the Stars, Bulletin of Astronomical Society of India 22, 439-471, 1994. (I. F.: 0.83).
  31. C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating Stars Obeying a Generalized Differential Rotation Law, Astrophysics Space Science, 215, 111-130, 1994 (I. F.: 2.401) .
  32. C. Mohan, A. K. Lal and V. P. Singh, Equilibrium Structure of Differentially Rotating Polytropic Models of the Stars, Astrophysics Space Science, 193, 69-85, 1992 (I. F.: 2.401).
  33. Publications in SCOPUS/ NON- SCI Indexed Journal.
  34. Shakuntala Singla, Diksha Mangla, Umar Muhammad Modibbo and A. K. Lal, Critical Analysis of Failure and Repair rates of poly-tube manufacturing plant, Reliability: Theory and Applications, 19(2), 351-364, 2024 (SCOPUS)
  35. Seema Saini, Sunil Kumar, A. K. Lal, and Vineet Bhatt, Oscillations of Rotationally and Tidally Distorted Composite Models of Stars of Nonuniform Densities, Nonlinear Studies, Vol. 32(2), 413-421, 2024 (SCOPUS)
  36. Sanjeev K. Guleria and Arvind K. Lal, Supporting Student Registration across Sections using a Curriculum Bases Existing Time-Table, International Journal of Advanced Science and Technology, Vol. 29, No. 03, 5521-5531, 2020 (SCOPUS)
  37. Shakuntala, A. K. Lal, S. S. Bhatia and Rachana, Analysis of non-markovian process by the inclusion of supplementary variables, international journal of scientific research in mathematical and statistical sciences, 6(11), 245-250, 2019 (SCOPUS)
  38. Rachana Khurana, A. K. Lal, S. S. Bhatia, R. K. Tuteja and Shakuntala, Analysis of three-unit system with demand dependent operability of units, international journal of scientific research in mathematical and statistical sciences, 6(11), 1-24, 2019 (SCOPUS)
  39. A. K. Lal and Shikhar Bhardwaj, Mathematical Modelling and Analysis of a modified Roman Onager with improved range control capabilities, Journal of Engineering and Automation Problem, Russian publisher, Vol. 1, UDC 621, 2018.
  40. Rachana Kumari, A. K. Lal, S. S. Bhatia and R. K. Tuteja, Cost analysis of a two unit standby industrial systems with varying demand, International Journal of Research in Advent Technology, Vol. 3(6), 99-106, 2015
  41. P00nam Panwar and A. K. Lal, predicting total number of failures in a software using NHPP software reliability growth models, Advances in Intelligent systems and computing, Vol. 259, 715-727, 2014
  42. Shakuntala, A. K. Lal and S. S. Bhatia, Analysis of non-markovian process by the inclusion of supplementary variables, International Journal of Research in Advent Technology, Vol. 2, Issue 2, 181-192, 2014
  43. Shakuntala, A. K. Lal and S. S. Bhatia, Analytical and computational studies of availability of complex industrial system, International Journal of Research in Advent Technology, Vol. 2, Issue 2, 69-82, 2014
  44. Manwinder Kaur, Arvind Kumar Lal and S. S. Bhatia, Reliability distribution of an Industrial Process, International Journal of Research in Advent Technology, Vol. 1(5), 587-592, 2013
  45. A. K. Lal, Manwinder Kaur and Sneh Lata, Behaviour Study of Piston Manufacturing Plant, through Stochastic Models, Journal of Industrial Engineering International, Vol. 9, 24, 2013 (SCOPUS)
  46. Poonam Pawar, A. K. Lal, Joginder Singh, A genetic algorithm based technique for efficient scheduling of tasks on multiprocessor systems, Advances in intelligent and soft computing, Vol. 131, pp. 911-919, 2012 (SCOPUS)
  47. Seema Saini, A. K. Lal and Sunil Kumar, Equilibrium structure of Differentially Rotating and Tidally Distorted Prasad Model including Mass Variation Inside the Star, International Journal of mathematical Archive, 3(5), 1772-1778, 2012
  48. Shakuntala, A. K. Lal, S. S., Bhatia and S. Kajal, Operational Analysis of Rice Plant using Supplementary Variable Technique, International Journal of Applied Engineering and Research, 6 (5), pp. 726 - 730, 2011 (SCOPUS)
  49. Shakuntala, A. K. Lal and S. S., Bhatia, Computational Analysis of Availability of Process Industry for High Performance, Communications in Computer and Information Science, 169(2), 265-274, 2011 (SCOPUS)
  50. A. K. Lal, R. K. Bawa and Navdeep Singh, Modelling and Analysis of Software Availability of Router Software System using Fuzzy logic, International Journal of Mathematical Modelling Simulation and Applications 4(1) 2011 (SCOPUS)
  51. Shakuntala, Sanjay Kajal, A. K. Lal, S. S. Bhatia and Jai Singh, Availability analysis of polytube industry when two subsystems are simultaneously fail, Bangladesh Journal of Scientific and Industrial Research, Vol. 46, Issue 4, pp. 475 - 480, 2011
  52. Sunil Kumar, A. K. Lal, H.G. Sharma and V. P. Singh, Barotropic Oscillations of Differentially Rotating Roche Models, International Journal of Applied Physics, 1, Number 1, pp. 69-78, 2011
  53. Sunil Kumar, H.G. Sharma, V. P. Singh and A. K. Lal, Analytic Expression of Roche Harmonics for Stellar Models distorted by Differential Rotation and tidal distortion, Global Journal of Mathematical Sciences Theory and Practical, 3(3), 235-244, 2011
  54. Sunil Kumar, A. K. Lal, V. P. Singh, Seema Saini, Equilibrium structures of differentially Rotating and Tidally Distorted Polytropic Gaseous Sphere, World Journal of Modelling and Simulation, 7(3), 206-217, 2011 (SCOPUS)
  55. Sunil Kumar, H. G. Sharma, V. P. Singh and A. K. Lal, System of Roche- Coordinates for Stellar Models distorted by Differential Rotation, International Transaction in Mathematical Sciences and Computer, 3, No. 2, 331 - 339, 2010).
  56. Sunil Kumar, A. K. Lal, H.G. Sharma and V. P. Singh, Equilibrium Structures of Differentially Rotating Polytropic Stars, The Aligarh Bulletin of Mathematics, 29, No. 2, 2010
  57. A. K. Lal, R. K. Bawa, Navdeep Singh, Modelling and Analysis of Software Availability of Web-based System with 3-tier architecture, International Journal of Computer Applications in Engineering, Technology and Sciences, 2, 435-439, 2009
  58. A. K. Lal, Ankush Pathania and C. Mohan, An estimation of Structure Parameters of rotationally and tidally distorted polytropic models of stars in the presence of Coriolis force, International Journal of Neural, Parallel and Scientific Computations, 17, 205-214, 2009 (SCOPUS)
  59. Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Behavioural Study of the Cement Manufacturing Plant-A Numerical Approach, Journal of Mathematics and System Science, 1, 50-70, 2005

Book Chapters and Conference Proceedings:

  • Manwider Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy, paper Performance Analysis of Industrial System under Corrective and Preventive Maintenance published in book chapter titled Quality and Reliability Engineering Recent Trends and Future Direction, 342-352, 2013, published by Allied publishers, Bangalore. .
  • A. K. Lal, Seema Saini and C. Mohan, Equilibrium Structure of Differentially Rotating White Dwarf Models of Stars using Modified Roche Approximation, in the proceedings of Advances in Applied Mathematics and Computational Physics, published by World education, Delhi, page no. 132-139, 2012.
  • Navdeep Singh Jaggi, A. K. Lal, and R. Bawa, Numerical Analysis of Software Reliability of Web – Based Spftware Systems with three – tier Architecture, in the proceedings of 2nd International Conferences on Reliability and Safety Engineering held at I.I.T. Kharagpur, December 18-20, pp. 309-317, 2006.
  • M. K. Sharma, A. K. Lal and V. P. Singh, Numerical Analysis of Structure and Oscillations of Differentially Rotating Stars in Binary Systems (Obeying the Generalized Law of Differential Rotation of the type in the proceeding of National Conference on Frontiers in Applied and Computational Mathematics, 356-363, March04-05, 2005.
  • A. K. Lal, Seema Saini, C. Mohan, and V. P. Singh, Structural Analysis of Differentially Rotating White Dwarf Models of Stars using Modified Roche Approximation in the proceeding of National Conference on Frontiers in Applied and Computational Mathematics, pp. 356-363, March04-05, 2005.
  • A. K. Lal, Seema Saini, C. Mohan, and V. P. Singh, Equilibrium Structure of Rotationally and Tidally Distorted Composite Models of Stars under the influence of Mass Variation on its Equipotential Surfaces in the proceeding of National Conference on Advances in Condensed matter Physics, pp. 153-160, February 11-12, 2005.

International Conferences:

  • R. Bawa, A. K. Lal and Navadeep Singh, A Model for Analysis of Software Reliability and Availability, in the proceeding of Conference on Research and Practices in Current Area of Information Technology held at Sant Longowal Institute of Engineering and Technology (S. L. I. E. T.), Longowal March 26-27, 2004, page 138.
  • Poonam Pawar, Arvind Kumar Lal, Chander Mohan, Comparative Analysis of Parameters Estimation Techniques used in software reliability growth models, in the International Conference on Science, Technology, Engineering and Management (ICSTEM) held in Vancouver, Canada on June 20-21, 2019.
  • Poonam Pawar, Arvind Kumar Lal, Chander Mohan, predicting total number of failures in software using NHPP software reliability growth models, in 3rd International Conference on Soft Computing for problem solving (Soc Pros 2013) organized by Saharanpur campus of IIT, Roorkee, India, Co-Organized by SIG (SAEM) SIG (EMS), BISC, University of California, Berkeley, USA, held at Greater Noida Extension centre of IIT, Roorkee. from December 26-28, 2013.
  • R. K. Bawa, A. K. Lal, and Vinod Kumar, A Hybrid Initial Value Technique for Reaction Diffusion Singularly Perturbed Problems, Sixth International Conference on Dynamic Systems and Applications, will be held at Morehouse College, Atlanta, Georgia, USA from May 25-28, 2011.
  • Poonam Pawar, A. K. Lal, Jugwinder Singh, A Genetic Algorithm based Technique for Efficient Scheduling of Tasks on Multiprocessor System, International Conference on Soft Computing for Problem Solving (SocProS-2011) held from December 20-22, 2011, I.I.T., Roorkee.
  • Manwinder Kaur, Arvind Kumar Lal, Satwinder Singh Bhatia and A. S. Reddy, Performance Analysis of Industrial System under Corrective and Preventive Maintenance, International Conference on Quality and Reliability Engineering (ICQRE-11) held at I.S.I, Bangalore from December 20-22, 2011.
  • Manwinder Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy, Reliability Analysis of Preventively Maintained System using Finite Element Method, International Congress of Mathematicians held at Hyderabad, August 19-27, 2010.
  • Sanjeev Kumar Guleria, A. K. Lal, and D. S. Bawa, Decision support system for planned student scheduling in a backlog supporting institute, accepted for EURO XXIII conference held in Bonn, Germany from May 6-9, 2009.
  • A. K. Lal, Ankush Pathania, and C. Mohan, Effect of Coriolis Force on the Equilibrium Structures of Rotationally and Tidally Distorted Polytropic Models of Stars, 14th International conference of the forum for the Interdisciplinary Mathematics, held at I.I.T., Madras, Chennai, from January 6-8, 2007.
  • A. K. Lal and Alka Bhalla, Radial modes of oscillations of differentially rotating white dwarf models of stars, 11th International conference on Interdisciplinary Mathematical and Statistical Techniques held at Institute of Engineering and Technology, Lucknow from Dec 27-29, 2004.
  • A. K. Lal, Seema Saini, C. Mohan and V. P. Singh, Effect of including mass variation in computation of the potential on the equilibrium structures of rotationally and tidally distorted polytropic models, 11th International conference on Interdisciplinary Mathematical and Statistical Techniques held at Institute of Engineering and Technology, Lucknow from Dec 27-29, 2004.
  • A. K. Lal, C. Mohan and V. P. Singh, Equilibrium Structure of Differentially Rotating Primary Components Binary Stars, 6th Asian Pacific Regional Meeting on Astronomy held at IUCAA, Pune, August 16-20, 1993.
  • V. P. Singh and A. K. Lal, Effect of Differential Rotation on the Equilibrium Structures of Binary Stars and Stellar Atmospheres, International workshop on Binary Stars and Stellar Atmospheres held at Osmania University, Hyderabad, August 1989.

National Conferences:

  1. A. K. Lal, C. Mohan and V. P. Singh, Equilibrium Structure of Differentially Rotating Polytropic Models of Stars, 13th Meeting Astronomical Society of India held at Srinagar (J&K), June 21-24, 1989.
  2. A. K. Lal, C. Mohan and V. P. Singh, Equilibrium Structure of Differentially Rotating and Tidally Distorted Gaseous Spheres, 55th Annual Meeting of Indian Mathematical Society held at Delhi, December 27-30, 1989.
  3. A. K. Lal, C. Mohan and V. P. Singh, Effect of Differential Rotation on the Eigenfrequencies of Radial Modes of Oscillations of Polytropic Models of Stars, 14th Meeting Astronomical Society of India held at Ahmedabad, January 29-February 1, 1991.
  4. A. K. Lal, C. Mohan and V. P. Singh, Equilibrium Structure of Differentially Rotating Stars, 15th Meeting Astronomical Society of India held at Bhabha Atomic Research Centre, Bombay, March 2-5, 1993.
  5. A. K. Lal, C. Mohan and V. P. Singh, Effects of Differential Rotation and Tidal Distortions on the Equilibrium Structure of White Dwarf Stars, Conference on Mathematics and its application in Engineering and Industry held at University of Roorkee, Roorkee, December, 16-18, 1996.
  6. A. K. Lal, M. K. Sharma and V. P. Singh, Mathematical Modelling of Structures of Differentially Rotating and Tidally Distorted White Dwarf Stars, 2th Meeting of Astronomical Society of India and National Symposium on Multiwavelength Astronomy held at D.D.U. Gorakhpur University, Gorakhpur, November 15-18, 2000.
  7. M. K. Sharma, A. K. Lal and V. P. Singh, Effects of Differential Rotation and Tidal Distortions on the Eigenfrequencies of Pseudo Radial Modes of Oscillations of Stars (Obeying the Generalized law of Differential Rotation of the type ?^2= b_0+b_1 s^2+b_2 s^4+b_3 z^2+b_4 z^4+b_5 z^2 s^2) , 12th Meeting of Astronomical Society of India and National Symposium on Multiwavelength Astronomy held at D.D.U. Gorakhpur University, Gorakhpur, November 15-18, 2000.
  8. M. K. Sharma and A. K. Lal, Effect of Differential Rotation and Tidal Distortions on the Equilibrium Structures of composite Model of Stars, National Conference on Mathematical Statistical Techniques held at TIET, Patiala, December 6-8, 2001.
  9. Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Reliability Analysis of Cement Manufacturing Plant Using Numerical Techniques, National Conference on Mathematical and Statistical Techniques held at TIET, Patiala, December 6-8, 2001.
  10. V. P. Singh, A. K. Lal and Seema Saini, Effect of Mass distribution on the periods of Adiabatic Oscillations of Rotationally Distorted Stars, National Conference on Mathematical and Statistical Technique held at T.I.E.T., Patiala, 6-8, December 2001.
  11. Pawan Gupta, A. K. Lal, R. K. Sharma and J. Singh, Reliability Analysis of Ply-Board Manufacturing Plant A Numerical analysis based approach, 6th Punjab National Science Congress, held at TIET, Patiala, February 7-9, 2002.
  12. M. K. Sharma, A. K. Lal and V. P. Singh, Eigenfrequencies of Nonradial modes of Oscillations of Differentially Rotating Composite Models, National Conference on Mathematical and Computer Applications in Science and Engineering held at T.I.E.T., Patiala, January 27-28, 2003.
  13. A. K. Lal, Seema Saini, C. Mohan, and V. P. Singh, Structural Analysis of Distorted Prasad Model of Stars, 8th Punjab Science Congress held at Punjabi University, Patiala from February 7-9, 2005.
  14. A. K. Lal, Navdeep Singh, and R. K. Bawa, A model of Reliability and Availability of Web based three Tier Architecture, National Conference on Information and Emerging Technologies held at I.E.T., Bhadal (Ropar) from February 17-18, 2006.
  15. A. K. Lal, Ankush Pathania and C. Mohan, Effect of Coriolis force on the Roche limit of the Rotationally and Tidally Distorted Stars in binary Systems, 11th Punjab Science Congress held at T.U., Patiala from February 7-9, 2008.
  16. A. K. Lal, Seema Saini, C. Mohan, and V. P. Singh, Eigenfrequencies of small adiabatic radial modes of oscillations of rotationally and tidally distorted composite stellar models, 11th Punjab Science Congress held at T.U., Patiala from February 7-9, 2008.
  17. A. K. Lal, Navdeep Singh, and R. K. Bawa, Numerical Analysis of Software Reliability and Availability for Application Server, International Conference on Wireless Networks and Embedded System (WECON-2008) held at Chitkara Institute of Engineering and Technology, Rajpura (Punjab) from October 18-19, 2008.
  18. Rajesh Bawa, A. K. Lal and Vinod Kumar, An Efficient Computational Technique for Singularly Perturbed Problems of Convection-Diffusion Type with a Discontinuous Source Term, National conference on Mathematical Modelling and Simulation held at ABV-Indian Institute of Information Technology and Management, Gwalior from January 9-11, 2009.
  19. Manwinder Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy, Optimal, Maintenance of Scheduling of Textile Weaving Process, National Meet of Research Scholars in Mathematical Sciences held at IIT, Roorkee from December 19-23, 200(Awarded best paper).
  20. Shakuntala, A. K. Lal, S. S. Bhatia, and, R.Khurana, Availability Analysis of Polytube Industry, presented in national conference on mathematical modeling and simulation (MMSIM10) held from March 23 - 24, 201at Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hissar.
  21. Manwinder Kaur, A. K. Lal, S. S. Bhatia and A. S. Reddy, Reliability, Availability and Maintainability (RAM) model for industrial process, 14th Punjab Science Congress held from February 7-9, 2011 at S. L. I. E. T., Longowal.
  22. Sunil Kumar, A. K. Lal, V. P. Singh and Seema Saini, Roche harmonics and their applications for stellar models distorted by differential rotation and tidal distortions, International satellite Seminar on Role of Mathematics iin Science and Engineering(ISSRMSE-II), held at Graphic Era University, Dehradun from May 13 - 14, 2011.
  23. Seema Saini, V. P. Singh, A. K. Lal, Equilibrium structures of differentially rotating White dwarf stars, International satellite Seminar on Role of Mathematics in Science and Engineering(ISSRMSE-II), held at Graphic Era University, Dehradun from May 13 - 14, 2011.
  24. Rachana, A. K. Lal, S. S. Bhatia, and Gulshan Taneja, A Stochastic Model to Study the Cost Benefit Analysis of a Two Unit System working in a Rice Plant with varying Demand, , Advances in Modelling, Optimization and Computing (AMOC 20110), held from December 5-7, 2011, I.I.T., Roorkee..
  25. Arvind Kumar Lal and Tarun Kumar, Eigenfrequencies of pseudo-radial modes of oscillations of rotationally and tidally distorted white dwarf stars, National Conference on Recent Trend in Mathematics and its Applications (RTMA-11) held from Dec. 16-17, 2011, Sant Longowal Institute of Engineering and Technogy (S. L. I. E. T.), Longowal.
  26. Arvind Kumar Lal, Seema Saini, V. P. Singh and C. Mohan, Equilibrium structure of differentially rotating gaseous sphere with generalized rotation law, National Conference on Recent Trend in Mathematics and its Applications (RTMA-11) held from Dec. 16-17, 2011, S. L. I. E. T., Longowal.
  27. Arvind Kumar Lal, Sunil Kumar, V. P. Singh, On the oscillations of differentially rotating polytropes, National Conference on Recent Trend in Mathematics and its Applications (RTMA-11) held from Dec. 16-17, 2011, S. L. I, E,T., Longowal.
  28. Rachana Kumari, Arvind Kumar Lal, S. S. Bhatia, and R. K. Tuteja, Analysis of three-unit standby system working in a rice plant with varying demand with no condition on number of simultaneous repairman, International Conference on History and Development of Mathematical Sciences and Symposium on Nonlinear Analysis (ICHDMS-2012), held at M. D. U., Rohtak from November 21- 24, 2012.

Invited Talks :

  • Resource person in AICTE ‘ATAL Academy Hybrid Elementary FDP on Mathematical Modeling of Differentially Rotating Stars in Stellar System held from 31.10.2022 to 11.11.2022 at Graphic Era University, Deemed to be University, Dehradun. Title of my talk was Equilibrium Structure of Differentially Rotating Stars.
  • Chaired a session in 6th online international conference on ancient mathematics and science for computing (AMSCO2K210, December 24-25, 2021.
  • On Cost Analysis of Direct Methods to Solve System of Linear Equations, organized by Department of Mathematics, Graphic Era University, Dehradun on September 18, 2021.
  • On Stability and Algorithms in the FDP on Recent Trend in Applied Science and Technology organized by Maharaja Agarsen Institute of Technology, New Delhi, August 23-27, 2021.
  • On Equilibrium structure of Rotating Stars in 26th International Conference of International Academy of Physical Sciences on Advances in Relativistic Astrophysics and cosmology held at S. L. I. E. T., Longowal during December 18-20, 2020.
  • Chaired a session in National conference on number theory combinatorics and special function, School of Mathematics, Thapar Institute of Engineering and Technology on October 11, 2019.
  • Key note address as a guest of honors in 3rd national conference on recent development in mathematical modelling and fuzziology-III, Chandigarh University, Mohali on November 13, 2019.
  • Key note address as a guest of honors in 2nd national level conference on recent development in mathematical modelling and fuzziology-II, Chandigarh University, Mohali on March 27-28, 2018.
  • On Interpolation in Numerical Analysis in the 61st refresher course in Mathematical sciences organized by the UGC Human Resource Development Centre, Punjabi University, Patiala from 22.06.2017 to 12.07.2017.
  • On Mathematical methods and motivation to use them to undergraduate and postgraduate students at Mata Gujari College, Fatehgarh Sahib on 11.08.2016.
  • Key note address in the workshop on FORTRAN organized by S.D. College (Lahore), Ambala Cantt. held on August 19, 2016.
  • On Computational Errors in the 43th Refresher Course in Mathematics and Statistics organized by the Academic Staff College, Punjabi University, Patiala held from May 12 - 31, 2014.
  • On Mathematical Logic in the 30th Refresher Course on Mathematics and Statistics organized by the Academic Staff College, Punjabi University, Patiala held from November 27- December 17, 2012.
  • On Mathematical Models of Distorted Stars in the National Conference on Recent Trend in Mathematics and its Applications (RTMA-11) held from Dec. 16-17, 2011, S. L. I. E. T., Longowal.
  • Series of three lectures on various topics of Numerical Analysis and also conducted one laboratory session in the workshop of Advanced Numerical Methods Using MATLAB/ C++ organized by Chitkara University, Chitkara from 13.11.201- 14.11.2010.
  • On Stability of Algorithms and cost of methods for solving system of linear equations in Refresher Course of Mathematics and Statistics Organized by Academic Staff College, Punjabi University, Patiala from 3.5.201to 23.5.2010.
  • On Numerical Methods for Solving Boundary Value Problems in the short term course on Basic and Applications of Computational Fluid Dynamics held at Thapar University, Patiala from July 15 - 23, 2009.
  • On Computational Errors in Numerical Method in the orientation workshop on Computational Aspects of Mathematics held at Sant. Longowal Institute of Engineering and Technology, Longowal, from December 22-26, 2008.
  • On Computational Errors in the orientation workshop on Science and Technology and IPR for faculty and professionals held at Graphic Era Institute of Technology, Dehradun, from April 11-13, 2008.

Short Term Courses/ Conferences Organized :

  • International Symposium on Optimization Theory and its Applications and a Special Chapter on Applied Mathematics, Computing and Engineering, School of Mathematics, T.I.E.T., Patiala held from April 13-15, 2023.
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  • 6th International Conference on Soft computing and Problem Solving organised by School of Mathematics, Thapar university Patiala from December 21-22, 2016.
  • One-week short term course on Computer Based Mathematics from Dec. 27 -31, 2004 in the School of Mathematics and Computer Applications, T.I.E.T., Patiala.

Seminars/Refresher Courses/Short - Term Courses Attended :

  • Autumn workshop on Advances in Differential Equations: Theory and Computations (AIDETC 2023), School of Mathematics, T.I.E.T, Patiala from July 2, 2023.
  • International Symposium on Optimization Theory and its Applications and a Special Chapter on Applied Mathematics, Computing and Engineering held at Department of Mathematics, T.I.E.T, Patiala from April 13- 15, 2023.
  • International Conference on Special Functions and Their Applications 2014 organized by School of Mathematics and Computer applications, Thapar University, Patiala from October 16-18, 2014.
  • National Conference on Frontiers of Computational Techniques, March 04-05, 2005, School of Mathematics and Computer Applications, TIET, Patiala.
  • National Seminar on Intellectual Property Right- 2004 at School of Management and Social Sciences, T.I.E.T., Patiala from 26.03.2004 - 27.03.2004.
  • Short term course on Mathematical Modeling and Computer Aided Methods at Department of Mechanical Engineering, T.I.E.T, Patiala from 02.07.2004 to 17.07. 2004.
  • Refresher course in Mathematics Graph Theory and Discrete Mathematics at Banasthali Vidyapith, Banasthali, Rajasthan from 22.12.2003 -12.01.2004.
  • National Conference on Mathematical and Computer Applications in Science and Engineering, January 27-28, 2003, School of Mathematics and Computer Applications, T.I.E.T., Patiala
  • Punjab National Science Congress, February 7-9, 2002, T.I.E.T., Patiala.
  • Workshop on Computational Techniques in Physics held at Department of Physics, P.U., Chandigarh Physics from 6.03.2002- 7.03.2002.
  • 5th Punjab Science Congress (Science Technology in New Millenniums) at School of Basic Applied Sciences, TIET, Patiala from 7.02.2002 - 9.02.2002.
  • National Conference on Mathematical and Statistical Techniques at School of Basic Applied Sciences, TIET, Patiala from 6.12. 2001 - 8.12. 2001.
  • Short term course on Human Development and Performance appraisal in Technical Institution sponsored by AICTE-ISTE at School of Management, T.I.E.T., Patiala from 9.07.2001 -13.07.2001.
  • National Conference on Mathematical and Statistical Techniques, December 6-8, 2001, School of Basic and Applied Sciences, T.I.E.T., Patiala.
  • First TIET Foresight Symposium on the R&D Challenge before Indian Industries-Time to have a look at our universities at Indian Academy of Sciences, Patiala Chapter TIET, Patiala from 19.05.2001- 20.05.2001.
  • Seminar on Emerging Areas of Mathematics for Engineering Technology sponsored by UNESCO held at Department of Mathematics, S. L. I. E. T., Longowal, (Sangrur) on 12.12. 2000.
  • First Annual conf. of Indian Society of Industrial and Applied Mathematics held from 4.02.93 7.01.97 at Department of Mathematics, U.O.R., Roorkee.
  • Induction Training program for teachers in Engineering College, sponsored by ASC, Himachal Pradesh University Shimla held from 23.12.96 -1.01.97 at R.E.C., Hamirpur.
  • Participated in XVII th International School of Young Astronomers held from 25.05.1990 to 18.06.1990 in University of Kebansaan, Malaysia and Maritime Academy Melaka, Malaysia. This school was jointly organized by International Astronomical Union International Centre for Theoretical Physics, Trieste

Academic Accomplishments

  • Khoshala Research Award of University of Roorkee, Roorkee in 1991.
  • Senior Research Fellowship, CSIR, New Delhi, 1992-1993.
  • Senior Research Fellowship, UGC, New Delhi, 1991-1992.
  • Junior Research Fellowship, UGC, New Delhi, 1988-1990.
  • Special State Scholarship in M. Sc., B. U., Muzaffarpur, 1987

OUTREACH ACTIVITIES

  • Nominated external member of Faculty of Sciences, Chandigarh University for a period of two years 01.01.2020 – 31.12.2022.
  • Vice chancellor nominee as external member for faculty of physical sciences, Punjabi university, Patiala from 10.05.2019 - 11.01.2021.
  • Nominated member of academic senate by Director, T. I. E. T., Patiala for the periods of 1997-98, 2002-03, ,1.1.2019 - 31.12.2019, 1.1.2020 - 31.12.2021, 1.4.2022 - 31.12.2023,1.1.2024 - 31.12.2025.
  • Nominated outside expert in a meeting of faculty of sciences, Chandigarh University, Mohali held on May 24, 2019.
  • Vice chancellor nominee as outside expert in screening committee meeting of mathematics, Punjabi University, Patiala, September 20, 2019.
  • Nominated external expert for board of undergraduate studies in mathematics, Punjabi university, Patiala, on October 11, 2019.
  • External member of Board of Studies, Chitkara University, Rajpura.
  • External member of Board of Studies, Chandigarh University, Mohali.
  • External member of Board of Studies, Mata Gujari College, Fatehgarh Sahib.

 

  • Book Chapter entitled Solution of Real Life Optimization Problems, published in a book Statistical Modeling and Applications on Real - Time Problems, CRC press, Taylor and Francis Group.
  • The Total Quality Management journal published from Emerald publishing limited.
  • International journal of Quality and Reliability Management published from Emerald publishing Limited.
  • Journal of Engineering Science and Technology, Malaysia published from Taylors University College.
  • Journal of Industrial Engineering International, Springer.
  • Applied Mathematics E – Notes, Elctronic journal ISSN 1607-2510.
  • Indian Society of Technical Education.
  • Associate member of Astronomical Society of India (Mem, No. 646).
  • Life Membership, Punjab Academy of Science Congress.

Message to Students & Community

Mathematics is not about numbers, equations, computations or algorithms: it is about UNDERSTANDING

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