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Dr. W.A. Gunarathne

Education

  • Ph. D in Mathematics
  • M. Phil in Mathematics, PGIS, University of Peradeniya, Sri Lanka (2014)
  • B. Sc (Special) in Mathematics, University of Peradeniya, Sri Lanka (2005)

Research Interests

  • Numerical solution of fractional differential equations:  Fast and high precision computational techniques for fractional diffusion equations using finite difference approximations
  • Numerical linear algebra: Developing fast and stable algorithms for Quadratic Eigenvalue problem using Genetic algorithm approach
  • FFT like algorithms for structured matrix-vector products
  • FFT like algorithms for discrete orthogonal polynomials transforms
  • Computational Number theory: Primality testing, Distribution of prime, Goldbach’s Conjecture

Professional Qualifications

Certificate course in Teaching in Higher Education, University of Peradeniya, Sri Lanka (2010)

Publications

Refereed Journal

  • Gunarathna, W. A., H. M. Nasir, and W. B. Daundasekera. “An explicit form for higher order approximations of fractional derivatives.” Applied Numerical Mathematics143 (2019): 51-60 
  • Gunarathna, W. A., H. M. Nasir, and W. B. Daundasekera. “A general explicit form for higher order approximations for fractional derivatives and its consequences.” arXiv preprint arXiv:1809.06739(2018).

International/National conference papers

  • Nasir  H. M. and W. A. Gunarathna, A general explicit form for higher order Grunwald approximations of fractional derivatives and its implementation, 2019 International Conference on Fractional Calculus Theory and Applications (ICFCTA 2019), Bourges, France, 25th-30th, April, 2019.
  • Gunarathna. W. A. and Nasir. H. M, ANovel Discrete Transform, Proceedingsof 9thInternational Research Conference , General Sir John Kotelawala Defence University, Sri Lanka, 8-9  September, 2016
  • Gunarathna. W. A. and Nasir. H. M, ANew Algorithm for Multipoint Evaluation of Univariate Polynomials, Proceedings of 8thInternational Research Conference, General Sir John Kotelawala Defence University, Sri Lanka, 27-28 August 2015.
  • Gunarathna. W. A. and Nasir. H. M, Accuracy Improvement of a Fast Algorithm for Discrete Legendre Polynomial Transforms, Proceedings of the KDU International     Research Symposium, General Sir John Kotelawala Defence University, Sri Lanka,  22nd-23rd August, 2014.
  • Gunarathna. W. A. and Nasir. H. M, Fast Transform Algorithm for Legendre Polynomial Transforms, Proceedings of the KDU International Research Symposium, General Sir John Kotelawala Defence University, Sri Lanka, 22nd-23rd August 2013, ISBN 978-955-0301-07-2, pp 248-263
  • Gunarathna W. A.  and Nasir H. M, Implementation of a Fast Algorithm for Multipoint Evaluation of Univariate Polynomials, Outcomes of the International Symposium, General Sir John Kotelawala Defence University, Sri Lanka, 22nd-23rd August 2012, ISBN 978-955-0301-05-8, pp. 458-473.

Abstracts

  • Gunarathna, W. A., H. M. Nasir, and W. B. Daundasekera., “A unified explicit form for difference approximations of fractional and integral order derivatives”, Proceedings of the fifth International conference on Numerical Analysis and Optimization, Sultan Qaboos University, Sultanate of Oman, 6-9 January 2020. 
  • Gunarathna W. A. and Daundasekera. W. B., An Extension Of Goldbach’s Conjecture, Proceedings of 4thInternational Conference on Multidisciplinary Approaches, Faculty of Graduate studies, University of Sri Jayewardenepura, Sri Lanka, 20th-22ndSeptember, 2017, ISSN: 2386-1509, pp 16
  • Gunarathna. W. A. and Nasir. H. M, Accuracy Improvement of a Fast Algorithm for Discrete Legendre Polynomial Transforms, Proceedings of the KDU International     Research Symposium, General Sir John Kotelawala Defence University, Sri Lanka,    22nd-23rd August, 2014.
  • Gunarathna. W. A. and Nasir. H. M, Performance Evaluation Of An Algorithm For Vandermonde Matrix Vector Multiplication, Proceedings of the Wayamba   International Conference: (Winc 2014), Wayamba University, Sri Lanka, 29th-30thAugust 2014, ISBN 978-955-4709-18-8, pp 294, Vol.
  • Gunarathna. W. A. and Nasir. H. M, Implementation Of An Algorithm For Discrete Orthogonal polynomial Transforms,Proceedings of the PGIS Research Congress, Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka, 10th-11thOctober 2014, 2014, ISBN  978-955-8787-05-2, pp 111. 
  •  Gunarathna. W. A. and Nasir. H. M, On The Efficiency and Accuracy Of a Fast Computation Of Discrete Monomial Transform, Proceedings of the Peradeniya International  Research Session ( iPURSE 2014),  University of Peradeniya , Sri Lanka, 4th-5h  July, 2014, ISBN  978-955-589-180-6,  pp 398, Vol. 18.

Teaching Interests

  • Abstract Algebra
  • Complex Analysis
  • Computational Mathematics
  • Differential Equations
  • Differential Geometry
  • Linear Algebra 
  • Mathematical Methods 
  • Measure Theory 
  • Number Theory
  • Numerical Analysis
  • Numerical Linear Algebra
  • Probability Theory 
  • Real Analysis 

Positions Held

Senior Lecturer Grade II in Mathematics: 06/2019 up to present Department of Physical Sciences, Faculty of Applied Sciences, Rajarata University of Sri Lanka, Mihintale.

Head: 02/2017 to 09/2018: Department of Mathematics, Faculty of Engineering, General Sir John Kotelawala Defence University, Sri lanka.

Senior Lecturer Grade II in Mathematics :07/2014 to up to 06/2019: Department of Mathematics, Faculty of Engineering, General Sir John Kotelawala Defence University, Sri Lanka.

Lecturer (Probationary) in Mathematics: 07/2009 to 07/2014Department of Mathematics, Faculty of Engineering, General Sir John Kotelawala Defence University, Sri Lanka.     

Temporary Lecturer in Mathematics: 09/2007-06/2009 Department of Physical Sciences, Faculty of Applied Sciences, Rajarata University of Sri Lanka, Sri Lanka.

Temporary Tutor/Lecturer in Mathematics: 06/2005 – 06/2007 Department of Mathematics, Faculty of Science, University of Peradeniya, Peradeniya, Sri Lanka.

Visiting Lecturer: 2016-2018 Faculty of Graduate Studies, General Sir John Kotelawala Defence University, Sri Lanka