Dr.R. Prasanthan

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Dr.Rajasingam Prasanthan

B.Sc. [Hons] (Jaffna), M.Sc (USA), Ph.D(USA).

  • Senior Lecturer in Mathematics
  • prasanthan81@gmail.com
  • 0776654321
Google Scholar
  • Ph.D. in Mathematics (Southern Illinois University of Carbondle, USA 2016).
  • M.Sc in Mathematics (Southern Illinois University of Carbondale, USA 2013).
  • B.Sc. (Hons) in Mathematics (University of Jaffna, Sri Lanka, 2006).
  • Student Counselor, Faculty of Science (2019).
  • Academic Counselor, Faculty of Science (2017).
  • General Secretary, Jaffna Science Association (2018/19).
  • Applied Mathematics Coordinator (2016 – 2019).
  • Convener, Welfare Committee (2009 – 2011, 2016-2018).
  • Person In Charge, Department Library (2009 – 2011).
  • Member of the ICT Committee (2016- 2019).
  • Chief Examiner for G.C.E (A/L) Combined Mathematics (2018-todate).
  • Member of Science Faculty Career Guidance Cell, University of Jaffna, 2017 – 2019.
  • Member of the Subcommittee of the Faculty Board of Science on Shortage of Science and Mathematics Teachers for Grade 6 to 11 in the country, 2017.
  • Member of the Subcommittee of the Faculty Board of Science on Curriculum development for the Computer Application Course unit 2018.
  • Member of the Subcommittee of the Faculty Board of Science on exploring the possibilities of commencing degree programmes for science stream A/L students to get them trained as Science and Mathematics teachers, 2007.
  • M. H. Olmsted outstanding PhD Teaching Assistant Award, Southern Illinois University Carbondale, USA (2016).
  • Sir ArunachalamMahadheva Memorial Prize, Best performance in Honors Degree Examination in Mathematics, University of Jaffna, Sri Lanka (2006).
  • PiratheepanJeganathalingam Memorial scholarship, Best student selected for the Honors degree in Mathematics, University of Jaffna, Sri Lanka (2004).
  • Scholarship for MPhil/PhD degrees under HETC Project ( Not Accepted by me).

Oral Presentations

  • Combined matrix upper bound for the perturbed solution of the continuous algebraic Riccati equation, 26th Annual Sessions of the Jaffna Science Association, 2019.
  • New Matrix Upper bounds for the solution of continuous Coupled algebraic Riccati equations,  popular talk, Department of Mathematics and Statistics, University of Jaffna, June 2016.
  • Upper Bounds on the solution of Continuous Algebraic Riccati Equation, Linear Algebra Seminar, Southern Illinois University Carbondale, November 2014.
  • Matrix Upper Bounds on the solution of the Continuous Coupled Algebraic Riccati Equation, (poster presentation) April 2015, Southern Illinois University Carbondale.

Poster Presentations

  • Prasanthan, “New unified improved upper matrix bounds on the solution of the continuous coupled algebraic Riccati equation”, Graduate Research Forum of the Southern Illinois University Carbondale, USA, pg:45 (2015).

Thesis

  • On the Numerical Solution of Continuous Coupled Algebraic Riccati equations, PhD Thesis, 2016.
  • Numerical Solution of Coupled Algebraic Riccati equations, MS thesis, 2013.

Talks

  • Work Session on preparing final mark return sheet, Department of Mathematics and Statistics, (2019).

Teaching :

Maths Department (level) :

  • Numerical Linear Algebra (4)
  • Ordinary Differential Equations (4,1)
  • Partial Differential Equations (4)
  • Numerical Solutions of Differential Equations (4)
  • Numerical Methods (3)
  • Numerical Analysis (2)
  • Group Theory and Topology (3)
  • Functional Analysis (3)
  • Number Theory and Cryptography (2)
  • Matrices and Statics (1)

 CSC Departments (level):

  • Mathematics for Computing IV (4)
  • Mathematics for Computing I (1)
  • Numerical Linear Algebra and Numerical Solution of Differential Equations (4)

Arts Department (level):

  • Basic Mathematics (1)

University Teaching- Other University:

  • SIUC USA
  • Discrete Mathematics (1)
  • Short Course in Calculus (1)
  • Trigonometry and Geometry (1)
  • Intermediate Algebra (1)
  • College Algebra (1)
  • Contemporary Mathematics (1)
  • Open University, Jaffna
  • ADU 5308 – Graph Theory (5)
  • PEU5303 – Number Theory (5)
  • ADU4303 – Applied Linear Algebra and Differential Equations (4)
  • PEU3300 – Mathematical Logic and Proof Techniques (3)
  • PEU3301 – Foundation of Mathematics (3)

SCI Journals:

Other Papers

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Peer Reviewed Abstracts

  • Prasanthan, “Combined matrix upper bound for the perturbed solution of the continuous algebraic Riccati equation”, Proceedings of the Jaffna Science Association, 26(1), ISSN 1800-1289, pg: 04, 2019.
  • C. S. Fernando and R. Prasanthan, “A fixed point iteration to solver the discrete algebraic Riccati equation”, Proceedings of the Wayamba International Coference WinC2018, ISBN 978-955-7442-19-8, pg 395, 2018.
  • M. U. S. D. Dewagedara and R. Prasanthan, “Convergence of a unified Lyapunov iteration for solving the continuous coupled algebraic Riccati equation”, Proceedings of the Wayamba International Conference WinC2018, ISBN 978-955-7442-19-8, pg 399, 2018.
  • M. U. S. D. Dewagedara and R. Prasanthan, “A new upper matrix bound for the solution of the discrete algebraic Riccati equation”,Proceedings of the 4th International Conference on Multidisciplinary Approaches, University of Sri Jayewardenepura, Sri Lanka, ISSN2386-1509, pg: 6, 2017.
  • M. U. S. D. Dewagedara and R. Prasanthan, “A lower matrix bound for the solution of discrete algebraic Riccati equation”, Proceedings of the Jaffna Science Association, 24(1), ISSN 1800-1289, pg: 01, 2017.

Other Abstracts

  • Prasanthan and J. Xu, “On the convergence of the accelerated Riccati iteration method”,  Proceedings of the International Conference on Matrix Inequalities and Matrix Equations, Shanghai University, China, pg: 22, 2017.
  • Prasanthan, “New unified improved upper matrix bounds on the solution of the continuous coupled algebraic Riccati equation”, Proceedings of Graduate Research Forum, Southern Illinois University Carbondale, USA, pg: 45, 2015.
  • National Science Foundation RPHS/2016/D02 (Grant obtained in collaboration with Researchers in Zoology and Computer Science)