Dr. Sanjeewa Karunarathna

• Smoothing spline models for creating surfaces, 

• Inverse square potential,

• Bag model for quark confinement,

• Ordinary Differential Equations,

• Partial Differential Equations,

• Regression Analysis.

Book Chapters

• SPDSSKKarunarathna, Prof. MMDRDeegahawature(Editor), “How Technology Can Enhance Assessment Environment in Large Classes”, SDC Wayamba University of Sri Lanka (2021).

Journals and Full Papers

• HGVN Samarasooriya, SPDSSK Karunarathna, “Toward Accurate Visual Acuity Prediction: Selecting the Optimal Image Quality Assessment Metric”, Proceedings of the 16th Symposium on Applied Science, Business & Industrial Research, pp. 231-235, 2024.

• NMNAKNawarathna, GACMKarunananda,SPDSSKKarunarathna, “Optimization of Inventory Cost Under Trapezoidal Demand with Constant Deterioration and No Shortages”, Proceedings of the 16th Symposium on Applied Science, Business & Industrial Research, pp. 214-219, 2024.

• NWDLD Nanayakkara, SPDSSK Karunarathna, “On the Precision of Zernike Polynomials in Modeling Lower-Order Aberrations”, Proceedings of the 16th Symposium on Applied Science, Business & Industrial Research, pp. 209-213, 2024.

• TSD Fernando, SPDSSK Karunarathna, “Validity of the Extrapolation of Zernike Coefficients”, Proceedings of the 15th Symposium on Applied Science, Business & Industrial Research, pp. 138-142, 2023(2024).

• ARMHPWattetenne, SPDSSKKarunarathna, “On the Computation of Wavefront Aberrations Through Contact Lenses”, Proceedings of the 15th Symposium on Applied Science, Business & Industrial Research, pp. 138-142, 2023(2024).

• SPDSSK Karunarathna, UWB Weerasinghe, “Analyzing Income and Expenses of Cooperative Rural Banks in ABC Division- Sri Lanka”, International Journal of Education and Applied Sciences, Vol. 4 (2), 2023.

• SP Daundasekera, SPDSSK Karunarathna, “On the Computation of Higher Order Aberrations Via Lower-Order Aberrations”, Computer Vision and Image Understanding, Preprint, 2023; Available at SSRN: https://ssrn.com/abstract=4415364 or http://dx.doi.org/10.2139/ssrn.4415364.

• RAVMJayarathna, TMMDeSilva, SPDSSKKarunarathna, “Mathematical Modelling of Tumorigenesis”, Proceedings of the 14th Symposium on Applied Science, Business & Industrial Research, 2022.

• SPDaundasekera, SPDSSKKarunarathna, “Predicting the Effect of Zernike Coefficient of Defocus on Objective Image Quality”, Proceedings of the 13th Symposium on Applied Science, Business & Industrial Research, pp. 128-132 , 2021.

• MMR Kumari, SPDSSK Karunarathna, ‘Forecasting Water Demand in Kandy North Region”, Proceedings of the 13th Symposium on Applied Science, Business & Industrial Research, pp. 88-92 , 2021.

• SPDSSK Karunarathna, MPDS Lakshmi, TMM De Silva, “The Accuracy of Zernike Reconstruction of Ocular Aberrations with Measurment Noise”, International Journal of Engineering Applied Sciences and Technology (IJEAST), Vol. 6 (8), pp. 53-56, 2021.

• MPDSLakshmi, SPDSSKKarunarathna, “A Smoothing Spline Approach to Represent Ocular Aberrations”, Proceedings of the 12th Symposium on Applied Science, Business & Industrial Research, pp. 181-185 , 2020.

• H Ekanayake, SPDSSK Karunarathna, “Study of the Queuing Theory for the Supermarket”, Proceedings of the 12th Symposium on Applied Science, Business & Industrial Research, pp. 271-275, 2020.

• ERSK Samarasinghe, SPDSSK Karunarathna, “Study of the Queuing Theory for the Supermarket”, Proceedings of the 11th Symposium on Applied Science, Business & Industrial Research, pp. 219-223, 2019.

• SPDSSK Karunarathna, TS Hithakshika, “A Computational Model of High Jump Height”, International Journal of Scientific and Research Publications (IJSRP), Vol. 9 (7), pp. 213-210, 2019.

• A Computational Model to Optimize Vision Correction via Contact Lens Design, Research Symposium on Pure and Applied Sciences, Faculty of Science, University of Kelaniya, Sri Lanka, p. 111, 2018.

• SPDSSK Karunarathna, WAAD Wickramasinghe, RAD Piyadasa, “On a Special Solution of Fermat Equation with Respect to P = 3,7 and for any Odd Prime”, International Journal of Innovative Research and Knowledge (IJIRK), Vol. 3 (7), July, 2018.

• SPDSSK Karunarathna, RV Iyer, “Customized Contact Lens Design for Regular and Irregular Vision Deffects”, PhD Dissertation, Texas Tech University, USA, May, 2018.

• SPDSSKKarunarathna, RADPiyadasa, “TheInverse Square Potential and Relativistic Bound States”, 12th Annual Research Symposium, University of Kelaniya, Sri Lanka, 2011.

• SPDSSK Karunarathna, RAD Piyadasa, “Possible Quark Confinement by a Non relativistic Model”, 12th Annual Research Symposium, University of Kelaniya, Sri Lanka, 2011

 Abstracts

• KNHKumari,TMMDeSilva,and SPDSSKKarunarathna, “Asymptotic Dynamics of a Larch Budmoth Interaction with Harvesting and Thinning Operation”, TASME conference, Canada, 2024.

• MPDS Lakshmi, SPDSSK Karunarathna, TMM De Silva, “Zernike Polynomials Fail to Account the Variability of Wavefront Measurements”, PGIS Research Congress, 2024.

• MPDS Lakshmi, SPDSSK Karunarathna, TMM De Silva, “Modeling the Image Quality on the Retina with Variability”, PGIS Research Congress, 2023.

• MPDSLakshmi, SPDSSKKarunarathna, TMMDeSilva, “Zernike Reconstruction of Ocular Aberrations with Measurement Noise”, 9th Ruhuna International Science & Technology Conference, University of Ruhuna, Sri Lanka, 2022.

• RACS Ranawaka, TMM De Silva, SPDSSK Karunarathna, “Deterministic and Stochastic Dynamics of Lotka-Volterra Competition Model”, International Research Conference 2020 (IRS 2020), Sri Lanka Technological Campus, 2020.

• SPDSSK Karunarathna, TMM De Silva, RACS Ranawaka, “Stochastic Modeling of Population Interaction with Allee Effects and Stocking”, PGIS Research Congress, 2019.

• SPDSSK Karunarathna, TMM De Silva, “Stochastic Modeling of Lotka-Volterra Competition Model with Allee Effects”, PGIS Research Congress, 2018.

• On the Computation of Point Spread Functions for the Eye after Contact Lens Motion with Application, Life Sciences, SIAM AN17, Pennsylvania, USA, July 2017.

• A System Theoretic Viewpoint of the Human Eye with a Corneal Contact Lens, Texas Systems Day, Texas A & M University, USA, Mar 2017.

• On the Computation of Visual Acuity after Contact Lens Rotation and Decentration, Graduate school poster competition, Texas Tech University, USA, Mar. 2017.

• Computation of Wavefront Aberration in Rigid Gas Permeable Corneal Lenses AMSSession for Contributed Papers, Joint Mathematics Meetings, Georgia, USA, Jan. 4-7 2017.

• Effect of the Contact Lens Motion on the Vision, Texas Tech University Three minutes Thesis competition, Texas Tech University, USA, Oct. 2016.

• On the Computation of the Wavefront After Contact Lens Motion, Mathematical Modeling of the Eye, SIAM Conference of the Life Science, Boston, USA, July 2016.

• The Inverse Square Potential and Relativistic Bound States, 12th Annual Research Symposium, University of Kelaniya, Sri Lanka, 2011.

• Possible Quark Confinement by a Non-relativistic Model, 12th Annual Research Symposium, University of Kelaniya, Sri Lanka, 2011.

Invited Speaker

• Workshop on Mathematical Sciences- 2018, A Post Conferences of the Wayamba International Conference, 2018 (WinC-2018).

• Mathematical Modeling of Mangrove Connectivity and Its Influence on Coral Reef Dynamics. 

• Reviewer, EDBM 1122– Business Mathematics (External), The Department of Business Management of the Faculty of Business Studies and Finance, Wayamba University of Sri Lanka.

• Evaluator, Undergraduate Thesis of Ms. HH Safwathuz Ziya, Faculty of Applied Sciences, Rajarata University of Sri Lanka (2025). Title: “Improving the Regula Falsi Method: Achieving Super-Linear Convergence with a New Technique”

• Reviewer, Ms. CHDharmasiri, MPhil in Mathematics, ProposalPresentation (2025).

• Evaluator, Evaluating the Undergraduate Project Thesis and the Synopsis for SLAAS Physical Science Award 2024.

• Evaluator, Evaluating the Undergraduate Project Thesis and the Synopsis for SLAAS Physical Science Award 2023.

Positions at Conferences & Symposia

National

• Reviewer, Undergraduate Research Sessions 2025– Faculty of Applied Sciences, Rajarata University of Sri Lanka.

• Co-Chair, Program Committee, 4th International Workshop on Mathematical Sciences (IWMS)-2024, Department of Mathematical Sciences, FAS, WUSL.

• Reviewer, Research Congress (RESCON)2024, Postgraduate Institute of Science, University of Peradeniya, 2024.

• Chairperson, The15thApplied Science, Business and Industrial Research Symposium (ASBIRES)– 2023, Faculty of Applied Sciences, (March 15, 2024).

• Reviewer, The15thAppliedScience, Business and Industrial Research Symposium (ASBIRES)– 2023, Faculty of Applied Sciences, (March 15, 2024).

• Reviewer, The 11th Ruhuna International Science & Technology Conference (RISTCON), University of Ruhuna, 2024.

• Reviewer, Research Congress (RESCON)2023, Postgraduate Institute of Science, University of Peradeniya, 2023.

• Reviewer, The International Conference on Applied and Pure Sciences (ICAPS 2023), Faculty of Science, University of Kelaniya, 2023.

• Member of the Editorial Board, Proceedings of the 14th Applied Science, Business and Industrial Research Symposium (ASBIRES)– 2022, Faculty of Applied Sciences, (April 04, 2023).

• Session Chair, The WayambaUniversity Research Congress (WURC), Wayamba University of Sri Lanka (2022).

• Member of the Editorial Board, Proceedings of the 13th Applied Science, Business and Industrial Research Symposium (ASBIRES)– 2021, Faculty of Applied Sciences, (December 21, 2021).

• Editor in Chief, Proceedings of the 12th Applied Science, Business and Industrial Research Symposium (ASBIRES)– 2020, Faculty of Applied Sciences, (December 22, 2020).

• Member of the Editorial Board, Proceedings of the 11th Applied Science, Business and Industrial Research Symposium (ASBIRES)– 2019, Faculty of Applied Sciences, (November 06, 2019).

• Member of the FundRaising Committee,The11thAppliedScience, Business and Industrial Research Symposium (ASBIRES)– 2019, Faculty of Applied Sciences, (November 06, 2019).

• Reviewer, The 10th YSF Research Symposium, The Young Scientists Forum (YSF) of Sri Lanka (2022).

• Reviewer, The Wayamba University Research Congress (WURC), Wayamba University of Sri Lanka (2021, 2022).

• Reviewer, TheTenthAnnualScience Research Sessions 2021 (ASRS-2021), Faculty of Applied Sciences, South Eastern University of Sri Lanka (2021).

• Reviewer, The 9th RuhunaInternational Science & Technology Conference (RISTCON), University of Ruhuna (2021).

• Reviewer, The Wayamba Conference in Management (WAYACiM), Wayamba University of Sri Lanka (2020, 2021).

• Reviewer, The International Conference on Applied and Pure Sciences (ICAPS), University of Kelaniya (2019, 2021, 2024).

• Session Chair, The International Conference on Applied and Pure Sciences (ICAPS), University of Kelaniya (2021, 2024).

International

• Reviewer, Undergraduate Poster Session-Science Section, Texas Tech University, TX, USA Mar. 2017.

• Moderator, Mathematical Association of America, General Contributed Paper Session, Joint Mathematics Meetings, Georgia, USA Jan. 2017.

• Judge, Mathematical Association of America, Undergraduate Poster Session, Joint Mathematics Meetings, Georgia, USA Jan. 2017.

• Judge, Arts and Humanities Conference-Finance Section, Texas Tech University, TX, USA Nov. 2016.

• Reviewer, Undergraduate Poster Session-Science Section, Texas Tech University, TX, USA Apr. 2016.

• Judge, Mathematical Association of America, Undergraduate Poster Session, Joint Mathematics Meetings, Seattle, WA, USA Jan. 2016.

• Chair, AMS, Ordinary Differential Equations, JMM, San Antonio, TX, USA 2015. 8. Judge, Southcrest Christian School Science Fair, Lubbock, TX, USA Jan 2015.

• Comsol Workshop– September 11, 2015– Texas Tech University.

• Texas Tech University Ground Work Program-January 11-13, 2017- Teaching, Learning and Professional Development Center (TLPDC), Texas Tech University.

Administrative Work

• Academic Advisor, Department of Mathematical Sciences, Faculty of Applied Sciences, Wayamba University of Sri Lanka (from Academic Year 2019/2020 to present).

• Representative, FAS, the Senate Research & Higher Degrees Committee.

• ShadowCoordinator, FacultyQuality Assurance cell, Faculty of Applied Sciences, Wayamba University of Sri Lanka.

• President, Kuliyapitiya University Teachers’ Association (KUTA, 2024/2025).

• President, Kuliyapitiya University Teachers’ Association (KUTA, 2023/2024).

• Vice-President, Kuliyapitiya University Teachers’ Association (KUTA, 2022/2023).

• Board of Representative, The Federation of University Teachers’ Associations (FUTA), 2021/2022, 2022/2023, 2023/2024, 2024/2025.

• Joint Secretary, Kuliyapitiya University Teachers’ Association (KUTA, 2021/2022).

• Executive Member, Kuliyapitiya University Teachers’ Association (KUTA, 2019/2020).

Services

• Vice President, Mathematics Students Society, University of Kelaniya 2007. 2006

• Coordinator, DAYATA KIRULA exhibition, BMICH, University of Kelaniya 2007.

• President, Sri Lankan Students Association, Texas Tech University, TX, USA August 2015– August 2016.

• Vice President, Sri Lankan Students Association, Texas Tech University, TX, USA August 2014– August 2015.

• Committee Member, Sri Lankan Students Association, Texas Tech University, TX, USA August 2014– August 2015.

• Member, University Rugby Team, University of Kelaniya 2006– 2007.

• Member, Society for Industrial and Applied Mathematics (SIAM), 2013- 2018.

• Member, American Mathematical Society (AMS), 2013- 2018.

• Member, Graduate Student Advisory Counsel, Texas Tech University (GSAC), 2016- 2018.

• Member, Sri Lankan Student Association-Texas Tech University (SLSA), 2013- 2018.

• Golden Fuller Scholar is awarded from the Department of Mathematics and Statistics of Texas Tech University for academic year 2017-2018 to recognize mathematical talents as demonstrated by high academic achievement.

• Travel Award from the Graduate School of Texas Tech University for SIAM AN 17 Conference.

• John T. White Scholar is awarded from the Department of Mathematics and Statistics of Texas Tech University for academic year 2016-2017 to recognize mathematical talents as demonstrated by high academic achievement.

• Society for Industrial and Applied Mathematics Scholar is awarded from the Department of Mathematics and Statistics of Texas Tech University for academic year 2015-2016 for outstanding mathematical talent and dedication to the Society for Industrial and Applied Mathematics.

• Ronald M.Anderson Scholar is awarded from the Department of Mathematics and Statistics of Texas Tech University for academic year 2014-2015 to recognize mathematical talents as demonstrated by high academic achievement.

• Gordon Fuller Scholar is awarded from the Department of Mathematics and Statistics of Texas Tech University for academic year 2013-2014 to recognize mathematical talents as demonstrated by high academic achievement.