+94 24 222 0269 | headphy@vau.ac.lk

Mr. S. Thilaganathan

B.Sc. Hons (Mathematics) (EUSL), PGDip (Peradeniya), M.Phil (Peradeniya)

Senior Lecturer Gr.II

+94 773468680

thilak@vau.jfn.ac.lk

Academic Records
  • M.Phil. in Mathematics (University of Peradeniya, Sri Lanka, 2017)
  • PGDip. in Industrial Mathematics (University of Peradeniya, Sri Lanka, 2010)
  • BSc. (Hons.), Special in Mathematics (Eastern University, Sri Lanka, 2006)

Previous Positions

  •  Temporary Tutor and Temporary Assistant Lecturer in Mathematics (On contract)(2005-2009), Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.
  • Temporary Lecturer and Lecturer Probationary (2009-2018), Department of Physical Science, Vavuniya Campus, University of Jaffna.
Admin Roles
  • Coordinator, Well-Being, Committee, Faculty of Applied Science, 2019 to date
  • Member, News Letter Committee, Vavuniya Campus, 2019 to date
  • Member-Program Review – 2019 to date.
  • Member of the Faculty level Curriculum Evaluation Committee, Faculty of Applied Science, 2019 to date
  • Member, Vavuniya Campus International Research Symposium -2019.
  • Inquiry Officer, Vavuniya Campus, 2019 Feb.-2020 Aug.
  • Member of Applied Science Faculty Board, 2019 to date.
  • Member of Sports Advisory Committee, 2011-2014.
  • Member of the Faculty level Research Committee, Faculty of Applied Science, 2019 to date.
  • Member of the Faculty level Anti Ragging Committee, Faculty of Applied Science, 2019 to date.
  • Member, First Annual Research Session 2020 (Faculty of Applied Science) -2020.
Activities

Professional Certification

  • Certificate in Teaching Higher Education, University of Jaffna, Sri Lanka, 2010

 Workshops and Short Courses Participated

  • Short Course on “Computer and Computational Mathematicsconducted by the Post Graduate Institute of Science, University of Peradeniya, 2006
  • Work shop on “Cooperate Plan” conducted by Faculty of Science, Eastern University, Sri Lanka, 2006.
  • Work shop on “Quality Related Issues in Higher Education in Sri Lanka” Organized by Quality Assurance and Accreditation Council UGC/ Ministry of Higher Education.
  • Training Programme on “Developing Research Competencies” which is Sponsored by Higher Education for the Twenty first Century (HETC) project, Ministry of Higher Education in 2011.(Five Days)
  • Completed “Staff Induction Program” for probationary Lecturers conducted by University of Jaffna in 2010.
  • 5thNational workshop on “Scientific Writing” organized by Postgraduate Institute of Science, University of Peradeniya in 2014.

Resource Person

  • Visiting Lecturer for Bachelor of Engineering Technology degree program, The Open University of Sri Lanka (Vavuniya Study Centre), 2010-2014 and 2016-2017
  • Visiting Lecturer for Bachelor of Management Studies Program, The Open University of Sri Lanka (Vavuniya Study Centre), 2010-2014 and 2016-2018
  • Visiting Lecturer for Bachelor of Applied Physics and Electronics degree program, Trincomalee Campus of Eastern University SriLanka, Sri Lanka- 2019.
Teaching

Undergraduate Teaching

  • AMA1113- Differential Equations
  • PMA1113- Foundation of Mathematics
  • Numerical Computing I and II (2012-2013)
  • PMA1213- Analysis and Number Theory
  • AMA1213- Methods of Applied Mathematics
  • AMA2223-Fluid Dynamics (2009-2014)
  • PMA3213- Algebraic Structures and Complex Variables
  • AMA3213-Analytical Dynamics (2018)
  • SCOS 4113-Advanced Numerical Analysis
  • PMA2113- Linear Algebra
  • SCOS 4232 & SCOS4241-Numerical Solution of Partial Differential Equations (Finite Element Method) (2019)
  • TICT1213-Mathematics for Technology(2020-todate)
Publications

Research Interests

  • Numerical Analysis
  • Approximation Theory and Harmonic Analysis
  • Symmetries and Conservational laws, non-local symmetries of differential equations and non-classical and non-classical potential symmetries of partial differential equations.

Journals

  • Vigneswaran, R. and Thilakanathan, S. “A combined error control with forward Euler method for dynamical systems”, International Journal of Mathematical and Computational Sciences, Vol: 3, No: 5, 2016.
  • Vigneswaran, R. and Thilaganathan, S. “Phase space error control with variable time-stepping algorithms applied to the forward Euler method for autonomous dynamical systems”, Advances in Mathematical Sciences, vol.01, 2019, pp: 16-26.

International Conferences

  • Thilaganathan, S. and Vigneswaran, R. “Phase space error control with variable time-stepping algorithms applied to the forward Euler method for dynamical systems”, Jaffna University International Research Conference Aug.12-13, 2016(JUICE 2016), Proceedings, pp. 293-299.
  • Thilaganathan, S. and Vigneswaran, R. “Phase space error control with variable time-stepping algorithms applied to the explicit Runge-Kutta methods for autonomous dynamical systems” International Conference in Mathematics and Mathematics Education, March 22-23, 2019(ICMME 2019), Conference Proceedings, pp:47
  • Thilaganathan, S. (2020). “Analytic series solution to Ordinary differential equations”. 6th International Conference on Education and Distance Learning-2020(ICEDL2020), 27th August 2020, pp.29

Local Conference Publications

  • Thilaganathan, S. Vigneswaran, R. and Samarathunga, D.M, “Phase space theta error control with general explicit Runge-Kutta methods for dynamical systems”, Postgraduate Institute of Science Research Congress Oct. 7-8, 2016(RESCON 2016), Conference Proceedings, pp:50
  • Wijesuriya,W.M.R.M., and Thilaganathan, S.(2020).” Limitations on Numerical Iterative Solution of two dimensional partial differential equations”, 1st Annual Research Session, Faculty of Applied Science, Vavuniya Campus, University of Jaffna -2020 (FARS2020), 2nd December 2020, pp.07-14.
Awards