{"id":621,"date":"2020-09-30T15:18:38","date_gmt":"2020-09-30T09:48:38","guid":{"rendered":"http:\/\/maths.jfn.ac.lk\/?page_id=621"},"modified":"2022-10-20T11:42:05","modified_gmt":"2022-10-20T06:12:05","slug":"prof-r-vigneswaran","status":"publish","type":"page","link":"https:\/\/maths.jfn.ac.lk\/index.php\/prof-r-vigneswaran\/","title":{"rendered":"Prof.R. Vigneswaran"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"621\" class=\"elementor elementor-621\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e6e727c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e6e727c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5cd92a4\" data-id=\"5cd92a4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fca2957 elementor-widget elementor-widget-image\" data-id=\"fca2957\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"400\" height=\"516\" src=\"https:\/\/maths.jfn.ac.lk\/wp-content\/uploads\/2020\/09\/Prof.R.-Vigneswaran.jpg\" class=\"attachment-medium_large size-medium_large wp-image-576\" alt=\"\" srcset=\"https:\/\/maths.jfn.ac.lk\/wp-content\/uploads\/2020\/09\/Prof.R.-Vigneswaran.jpg 400w, https:\/\/maths.jfn.ac.lk\/wp-content\/uploads\/2020\/09\/Prof.R.-Vigneswaran-233x300.jpg 233w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4d037b6 elementor-widget elementor-widget-text-editor\" data-id=\"4d037b6\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: center;\"><b style=\"font-size: 16px; color: var( --e-global-color-text );\"><span style=\"font-size: 13.5pt; font-family: 'Bookman Old Style','serif'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman';\">Prof.R.Vigneswaran<\/span><\/b><\/p>\n<p class=\"MsoNormal\" style=\"mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; text-align: center; line-height: normal;\" align=\"center\"><span style=\"font-size: 12.0pt; font-family: 'Bookman Old Style','serif'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman';\">B.Sc. [Hons] (Jaffna), Ph.D(United Kingdom).<\/span><\/p>\n<p style=\"text-align: center;\"><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cf16e63 elementor-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"cf16e63\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Professor in Mathematics<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"http:\/\/VICKY@JFN.AC.LK\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-envelope\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">rvicky58@gmail.com<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5567946 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"5567946\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"https:\/\/scholar.google.com\/citations?user=B93IoWYAAAAJ&#038;hl=en\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fab fa-google\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Google Scholar<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-1f7b494\" data-id=\"1f7b494\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2015de9 elementor-widget elementor-widget-accordion\" data-id=\"2015de9\" data-element_type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3361\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-3361\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Academic Profile<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3361\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-3361\"><ul><li>Ph.D in Mathematics (University of Sussex, United Kingdom, 1991).<\/li><li>B.Sc (Honours) in Mathematics (University of Jaffna, Sri Lanka, 1982).<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3362\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-3362\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Admin Roles<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3362\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-3362\"><ul><li>Vice chancellor of university of Jaffna (2017-2019).<\/li><li>Dean of Faculty of Science (2016-2017) University of Jaffna.<\/li><li>Head, Department of Mathematics &amp; Statistics (2013-2016, 2006-2009) University of Jaffna.<\/li><li>Co-Coordinator\/ IRQUE-QEF Project (World Bank Funded Programme-2006-2010)<\/li><li>Head, Department of Mathematics &amp; Statistics (2002-2004, 1994-2000) Eastern University.<\/li><li>Head, Department of Computer unit (2002-2004, 1994-2000) Eastern University.<\/li><li>Director\/ Staff Development Centre(2002-2004)\u00a0<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3363\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-3363\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Awards<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3363\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-3363\"><ul><li>British Technical Co-operation\u00a0 Training Award, ODA, UK (1988-1991).<\/li><li>Commonwealth Fellowship Award (2000-2001).<\/li><li>Travel grant to participate \u201c40<sup>th<\/sup> Session on Modern Methods in Scientific Computing and Applications\u201d, Montreal, Canada, (2001).<\/li><li>UNESCO grant (including travel grant)\u00a0 \u00a0to participate \u201cInternational Conference and Instructional Workshop on Industrial Mathematics\u201d, (ICIWIM-2002) IIT, Bombay, India (2002).<\/li><li>NSF travel grant\u00a0 to participate\u00a0 \u201cInternational Conference on Numerical Analysis and Computational Mathematics\u201d (NACOM-2003), Anglia Polytechnic University, Cambridge, UK (2003).<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3364\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-3364\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Activities<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3364\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-3364\"><ul><li>Chairman, Faculty Research Committee from\u00a0 July, 2011 to March 2013.<\/li><li>Chairman, Commonwealth of Leaning Review Improving Model (COLRIM) Self-Review Team, University of Jaffna (2013\/2014).<\/li><li>Chairman, Faculty sub-committee on introducing Applied Science Degree Programme(2013\/2014).<\/li><li>Senior Treasurer, Hindu Association, Eastern University (1996 \u2013 2000).<\/li><li>Senior Treasurer, \u201cStudents Fund\u201d, Eastern University, Sri Lanka (1996 \u2013 2000).<\/li><li>President, Senior Common Room Society (SCRS), Eastern University (1996).<\/li><li>President, \u201cEastern University Teachers\u2019 Association, (1999 \u2013 2003).<\/li><li>President, \u201cJaffna University Science Teachers\u2019Association (JUSTA)\u201d(2007\/08).<\/li><li>President, \u201cUniversity of Jaffna Teachers\u2019 Association (UJTA)\u201d from March, 2011 to 2012.<\/li><li>Vice- President, \u201cFederation of Universities Teachers\u2019 Association (FUTA)\u201d, 2012.<\/li><li>Chief Examiner for Applied Mathematics and Combined Mathematics, G.C.E.(A\/L) Examination from 1992\u00a0 to 2013.<\/li><li>Co-Controller for Applied Mathematics, G.C.E.(A\/L) Examination, (1998).<\/li><li>Co-Controller for Combined Mathematics, G.C.E.(A\/L) Examination, (2011-2013).<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3365\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-3365\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Teaching<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3365\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-3365\"><ul><li>PMM101GC2- Set Theory.<\/li><li>PMM104GC2- Calculus.<\/li><li>PMM221GE2- Advance Calculus.<\/li><li>PMM202GC4- Analysis.<\/li><li>AMM221GE2- Numerical Analysis.<\/li><li>AMM321GE2- Numerical Methods.<\/li><li>MMM301MC4- Numerical Linear Algebra.<\/li><li>MMM401MC4- Numerical Solutions of Differential Equations.<\/li><li>MMM403MC6- Functional Analysis.<\/li><li>CSC403MC4 &#8211; Numerical Linear Algebra and Solutions of Differential Equations.<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3366\" class=\"elementor-tab-title\" data-tab=\"6\" role=\"button\" aria-controls=\"elementor-tab-content-3366\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Publications<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3366\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"6\" role=\"region\" aria-labelledby=\"elementor-tab-title-3366\"><p><strong>2019<\/strong><\/p><ul><li>Vigneswaran and S.Kajanthan, \u201cA CLASS OF S-STEP NON-LINEAR ITERATION SCHEME BASED ON PROJECTION METHOD FOR GAUSS METHOD\u201d,Advances in Mathematical Sciences, Vol 1, 38-42, 2019.<\/li><li>Vigneswaran and S. Thilaganathan, \u201c Phase Space Error Control with Variable Time-Stepping Algorithm applied to the forward Euler Method for AutonomousDynamical Systems\u201d, Advances in Mathematical Sciences, Vol 1, 26-40, 2019.<\/li><li>Thilaganathan and R.Vigneswaran,\u201cPIIASE SPACE THETA ERROR&#8217;CONTROL WITH VARIABLE TIME.STEPPING ALGORITHMS APPLIED TO THE EXPLICIT RUNGE.KUTTA METIIODS F&#8217;ORAUTONOMOUS DYNAMICAL SYSTEMS\u201d, Proceeding of the International Conference on Mathematics and Mathematics Educations, University of Peradeniya, p. 47, 2019.<\/li><\/ul><p><strong>2008<\/strong><\/p><ul><li>KajanthanandR. Vigneswaran, \u201cImproved Convergence Rates of an Iterative Scheme with Extra sub-steps for Gauss Method\u201d,Vingnanam International Research Conference 2018 (VIRC2018), UNIVERSITY of Jaffna, Sri Lanka, p.12.<\/li><li>KajanthanandR. Vigneswaran, \u201cAccelerating the Rate of Convergence of a More General Linear Iteration Scheme by using the Projection Method for Implicit Runge-Kutta Methods\u201d, Jaffna University International Research Conference, 2018.<\/li><\/ul><p><strong>2017<\/strong><\/p><ul><li>Vigneswaran and S.Kajanthan, \u201cImproving Rates of Convergence of an Iterative Schemes with Extra sub-steps for Two Stage Gauss Method\u201d, International Journal of Pure and Applied Mathematics, (2017).<\/li><li>KajanthanandR. Vigneswaran, \u201cAccelerating the Rate of Convergence of a More General Linear Iteration Scheme by using the Projection Method for Implicit Runge-Kutta Methods\u201d, Peradeniya University international research sessions 2017(iPURSE2017, p.380-381.)<\/li><\/ul><p><strong>2016<\/strong><\/p><ul><li>Vigneswaran and S. Thilaganathan \u201cA combined error control with Forward Euler Method for Dynamical Systems\u201d, International Journal of Mathematical and Computational Sciences, Vol: 3, No: 5<em>, (2016).<\/em><\/li><li>Thilaganathan and R.Vigneswaran, \u201cPhase Space Error Control with Variable Time-Stepping Algorithms to the Forward Euler Method for Dynamical Systems\u201d, Proceeding<em> of the Jaffna University International Research Conference, 293-299, (2016).<\/em><\/li><li>Thilaganathan and R.Vigneswaran, \u201cPhase Space Theta Error control with General Explicit Runge-Kutta methods for Dynamical Systems\u201d, PROCEEDING<em> of the Postgraduate Institute of Science Research Congress, page- 50, (2016).<\/em><\/li><li>B. Duresha Chamaleen and R.Vigneswaran, \u201cAccelerating the rate of convergence of some efficient schemes for two stage Gauss method\u201d, Proceeding<em> of the International Research Symposium on Pure and Applied Sciences,\u00a0 Faculty of Science, University of Kelaniya, Sri Lanka, page- 59, (2016).<\/em><\/li><li>Shanjeevan and R.Vigneswaran, \u201cSchemes with improving rate of convergence for three stage Gauss method\u201d, Proceeding<em> of the International Research Symposium on Pure and Applied Sciences,\u00a0 Faculty of Science, University of Kelaniya, Sri Lanka, page- 61, (2016).<\/em><\/li><\/ul><p><strong>2015<\/strong><\/p><ul><li>Vigneswaran,\u201cA Non-linear Scheme based on Projection Method for Two Stage Gauss Method\u201d, International Journal of Pure and Applied Mathematics 101 (4) (2015), 463-476.<\/li><\/ul><p><strong>2014<\/strong><\/p><ul><li>Yogarajah, C. Elankumaran and R. Vigneswaran, \u201cInvestigating ARIMA and ARIMAX models for PREDICTING PADDYPRODUCTION IN VAVUNIYA District in Sri Lanka\u201d PRESENTED AT the 1<sup>st<\/sup> Ruhuna INTERNATIONAL SCIENCE and Technology CONFERENCE,<em>(<\/em><em>RISTCON 2014<\/em><em>), January, 22-23, 2014.<\/em><\/li><li>Vigneswaran and S.Kajanthan,\u201cEfficient Implementation Schemes for Implicit Runge-Kutta Methods\u201d,International Journal of Pure and Applied Mathematics 93 (4) (2014), 525-540<em>.<\/em><\/li><li>KajanthanandR. Vigneswaran,\u201cOn the Efficient Implementation for Three Stage Gauss Method \u201c, <em>Twenty-First ANNUAL Research Session of Jaffna Science ASSOCIATION (JSA),(2014).5.<\/em><\/li><li>Vigneswaran, \u201cImplementation of Implicit Runge-Kutta Methods in Solving Stiff ordinary Differential Equations,\u201d Invited Talk at the International Conference on Mathematical Sciences (ICM)-2014, Madurai, India.<\/li><\/ul><p><strong>2013<\/strong><\/p><ul><li>Vigneswaran, \u201cSome Efficient Schemes for two stage Gauss Method\u201d Proceeding of <em>the 2nd Annual International Conference on. Computational Mathematics, Computational Geometry. &amp; Statistics. (<\/em><em>CMCGS 2013<\/em><em>), Singapore, 9-15.<\/em><\/li><li>Vigneswaran, \u201cSome Efficient Schemes with Improving Rate of Convergence for Two stage Gauss Method\u201d Journal OF MATHEMATICS, Statistics and Operational RESEARCH (JMSOR)<em>Vol. 2 No. 1(2013), 23-29.<\/em><\/li><li>Vigneswaran, \u201dPhase Space Error Control with forward Euler Method for Dynamical Systems\u201d, <em>Proceeding of the Instructional Workshop on Applied Mathematics<\/em>, Department of Mathematics, South Asian University, New Delhi, India, May, 2013.<\/li><\/ul><p><strong>2012<\/strong><\/p><ul><li>Ananthakrishna and R. Vigneswaran, \u201c Schemes with Improving Convergence Rates for the two stage GaussMethod\u201d, <em>Proceeding of the Nineteenth Annual Research Sessions of Jaffna Science Association(JSA), page-05<\/em> (2012).<\/li><li>Vigneswaran and M.Khokulan,\u201cImplementation Schemes forTwo stage Gauss Method\u201d, Proceeding<em> of the Jaffna University International Research Conference (JUICE), page-205<\/em> (2012).<\/li><li>Yogarajah, C. Elankumaran and R. Vigneswaran, \u201cBehavior of rainfall Patterns in the Trincomalee District: A Time Series Modeling Approach\u201d <em>Proceeding of the Jaffna University International Research Conference (JUICE), page-209<\/em> (2012).<\/li><\/ul><p><strong>2004<\/strong><\/p><ul><li>Vigneswaran, \u201cImproving Rates of Convergence of Iterative Schemes for Implicit Runge-Kutta Methods\u201d, Applied<em> Numerical Analysis and Computational Mathematics<\/em><strong>1(Issue 1)<\/strong>(2004) 327-338.<\/li><li>Vigneswaran, \u201cAn Error Control with Variable Time-Stepping Runge-Kutta Methods for Dynamical Systems\u201d, Proceeding<em> of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM-2004)<\/em>, Greece, 440-443.<\/li><li>Tony Humphries&amp; R. Vigneswaran, \u201cPhase Space Stability Error Control with Variable Time-stepping Runge-Kutta Methods for Dynamical Systems\u201d, Applied<em> Numerical Analysis and Computational Mathematics<\/em><strong>1(Issue 2)<\/strong>(2004) 469-488.<\/li><li>Vigneswaran, \u201cSome Linear Schemes for Two-stage Gauss Type Runge-Kutta Method\u201d<em>Proceeding of the Third Annual Research Session at the Eastern University<\/em>(2004) 160-183.<\/li><\/ul><p><strong>2003<\/strong><\/p><ul><li>Vigneswaran, \u201cIterative Schemes with Extra Sub-steps for Implicit Runge-Kutta Methods\u201d,<em>Proceedings of the International Conference on Numerical Analysis and Computational Mathematics (NACOM, 2003)<\/em>, Cambridge, UK, 169-172.<\/li><\/ul><p><strong>2001<\/strong><\/p><ul><li>R .Vigneswaran, R Humphries&amp;N. Christodoulou, \u201cPhase Space\/ Stability Error Control for Dynamical Systems\u201d, Dundee<em> Numerical Analysis Conference<\/em>, University of Dundee, UK (2001).<\/li><li>Vigneswaran, A.R Humphries, P. Fenton, &amp; N. Christodoulou, \u201cDynamics of fixed and Variable Step-Size Runge-Kutta Methods\u201d, <em>International Conference in Scientific Computation and Differential Equations<\/em>, Vancouver, Canada (2001).<\/li><\/ul><p><strong>1993<\/strong><\/p><ul><li>J. Cooper &amp;R.Vignesvaran,\u201cSome Schemes for the Implementation of Implicit Runge-Kutta Methods\u201d <em>Journal of Computational and Applied Mathematics<\/em><strong>45<\/strong>(1993)213-225.<\/li><li>J. Cooper &amp; R. Vignesvaran, \u201cImplementation of Implicit Runge-Kutta Methods on Parallel Processors\u201d, <em>International Conference on Scientific Computation and Differential Equations (SCADE 93)<\/em>, University of Auckland, New Zealand (1993).<\/li><li>J. Cooper &amp;R.Vignesvaran, \u201cOn the use of Parallel Processors for Implicit Runge-Kutta Methods\u201d, Computing<strong>51<\/strong>(1993) 135-150.<\/li><\/ul><p><strong>1991<\/strong><\/p><ul><li>J. Cooper &amp; R. Vignesvaran, \u201cSome Linear Iteration Schemes for Implicit Runge-Kutta Methods\u201d, 13t<em>h World Congress in Computational and Applied Mathematics Proceeding IMACS<\/em>, Dublin, Ireland (1991) 289-290.<\/li><\/ul><p><strong>1990<\/strong><\/p><ul><li>J. Cooper &amp; R. Vignesvaran<strong>, \u201c<\/strong>A Scheme for the Implementation of Implicit Runge-Kutta Methods\u201d, <em>Computing<\/em> 45(1990) 321-332.<\/li><li>Vignesvaran<strong>, \u201cIteration<\/strong>Schemes for the Implementation of Implicit Runge-Kutta Methods\u201d, <em>University of Sussex, UK<\/em>(1990).<\/li><\/ul><ol><li style=\"list-style-type: none;\">\u00a0<\/li><\/ol><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-3367\" class=\"elementor-tab-title\" data-tab=\"7\" role=\"button\" aria-controls=\"elementor-tab-content-3367\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-plus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-minus\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Grants<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-3367\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"7\" role=\"region\" aria-labelledby=\"elementor-tab-title-3367\"><ul><li>NSF travel grant\u00a0 to participate\u00a0 \u201cInternational Conference on Numerical Analysis and Computational Mathematics\u201d (NACOM-2003), Anglia Polytechnic University, Cambridge, UK (2003).<\/li><li>UNESCO grant (including travel grant)\u00a0 \u00a0to participate \u201cInternational Conference and Instructional Workshop on Industrial Mathematics\u201d, (ICIWIM-2002) IIT, Bombay, India (2002).<\/li><li>Travel grant to participate \u201c40<sup>th<\/sup> Session on Modern Methods in Scientific Computing and Applications\u201d, Montreal, Canada, (2001).<\/li><li>Commonwealth Fellowship Award (2000-2001).<\/li><li>British Technical Co-operation\u00a0 Training Award, ODA, UK (1988-1991).<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Prof.R.Vigneswaran B.Sc. [Hons] (Jaffna), Ph.D(United Kingdom). Professor in Mathematics rvicky58@gmail.com Google Scholar Academic Profile Ph.D in Mathematics (University of Sussex, United Kingdom, 1991). B.Sc (Honours) in Mathematics (University of Jaffna, Sri Lanka, 1982). Admin Roles Vice chancellor of university of Jaffna (2017-2019). Dean of Faculty of Science (2016-2017) University of Jaffna. Head, Department of Mathematics [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","ocean_post_layout":"full-width","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-621","page","type-page","status-publish","hentry","entry"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"ocean-thumb-m":false,"ocean-thumb-ml":false,"ocean-thumb-l":false},"uagb_author_info":{"display_name":"mathwpadmn","author_link":"https:\/\/maths.jfn.ac.lk\/index.php\/author\/mathwpadmn\/"},"uagb_comment_info":0,"uagb_excerpt":"Prof.R.Vigneswaran B.Sc. [Hons] (Jaffna), Ph.D(United Kingdom). Professor in Mathematics rvicky58@gmail.com Google Scholar Academic Profile Ph.D in Mathematics (University of Sussex, United Kingdom, 1991). B.Sc (Honours) in Mathematics (University of Jaffna, Sri Lanka, 1982). Admin Roles Vice chancellor of university of Jaffna (2017-2019). Dean of Faculty of Science (2016-2017) University of Jaffna. Head, Department of Mathematics&hellip;","_links":{"self":[{"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/pages\/621","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/comments?post=621"}],"version-history":[{"count":24,"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/pages\/621\/revisions"}],"predecessor-version":[{"id":2407,"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/pages\/621\/revisions\/2407"}],"wp:attachment":[{"href":"https:\/\/maths.jfn.ac.lk\/index.php\/wp-json\/wp\/v2\/media?parent=621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}