MAR IVANIOS COLLEGE (AUTONOMOUS) FACULTY PROFILE NAME T R SIVAKUMAR DEPARTMENT MATHEMATICS DESIGNATION ASSOCIATE PROFESSOR ADDRESS SHIVAALAYA, T C 51/414(3) K M NAIR LANE, PAPPANAMCODE, THIRUVANANTHAPURAM-695 018. TELEPHONE NUMBER(S) 9446554226 EMAIL ID(S) sivakumar.tr@mic.ac.in, sivakuamr2raghavan@gmail.com ACADEMIC QUALIFICATIONS (with MSc (Applied Mathematics), Madurai Kamaraj University name of degree awarding Ph. D. Indian Institute of Technology, Madras University) LEVEL YEARS OF SERVICE INSTITUTION UG 16 St. JOHN S COLLEGE, ANCHAL TEACHING EXPERIENCE UG 3 MAR IVANIOS PG 16 St. JOHN S COLLEGE, ANCHAL PG 3 MAR IVANIOS SPECIALIZATION Non-linear Differential Equations, Numerical Analysis INTERNATIONAL NATIONAL PUBLICATIONS/ PARTICIPATION IN NO. OF RESEARCH PAPERS SEMINARS/ CONFERENCES ETC IN JOURNALS 4 2 (Please attach a separate detailed NO. OF PUBLICATIONS IN list with titles of papers, names of CONFERENCE PROCEEDINGS 2 4 conferences, etc) NO. OF CONFERENCES PARTICIPATED IN 2 35 PROJECTS NIL NO OF STUDENTS AWARDED PHD: 2 DETAILS OF RESEARCH NO. OF STUDENTS WITH SUBMITTED DISSERTATIONS: NIL SUPERVISION NO. OF CURRENT STUDENTS: 3 HONOURS AND AWARDS POSTS HELD ANY OTHER INFORMATION PHOTO (Please copy and paste the photograph you would like to have as your profile image)
Papers in referred Journals: 1. A modification of Adomian s decomposition method for boundary value problems with homogeneous boundary conditions, Jour. Math. Phys. Sci., 24 (1990),19-25. 2. A new nonlinear integration formula for ODE s, Jour. Comput. Appl. Math., 67 (1996), 291-299. 3. T.R. Sivakumar and S. Baiju, Shooting Type Laplace Adomian Decomposition Algorithm for nonlinear differential equations with boundary conditions at infinity, Appl. Math. Lett. 24 (2011), 1702-1708. 4. S. Baiju and T.R.Sivakumar, Laplace-Adomian Decomposition Algorithm to the Solution of the Brusselator System, Jour. Sci. Tech. Mgmt., 4, No. 2, September 2011, 21-31. 5. S. Baiju and T.R.Sivakumar, Laplace-Adomian Decomposition Algorithm for System of Linear and Nonlinear Integro-differential Equations, Jour. Sci. Tech. Mgmt., 4, No. 2, September 2011, 33-42. Papers presented in conferences 1. Application of shooting type Adomian method to a class of Poisson s equation, Seventh International Conference on Mathematical and Computer Modelling, Chicago, August 2-5, 1989 2. Solution of a class of singular nonlinear differential equations by shooting type Adomian decomposition method, 34 th Indian Society of Theoretical and Applied Mechanics Congress, Coimbatore, Dec 27-30, 1989. 3. Steady state finite cable: Approximate analytic solution by shooting type Adomian method, 34 th Indian Society of Theoretical and Applied Mechanics Congress, Coimbatore, Dec 27-30, 1989. 4. A stable nonlinear midpoint formula for solving ordinary differential equations, Second Biennial Conference of Allahabad Mathematical Society, April 7-9, 1990. 5. Higher order micromechanical model for the prediction of effective properties of particulate reinforced composites, International Conference on Advanced Materials and Composites (ICAMC-2007), Thiruvananthapuram, October 24-26, 2007. 6. Approximate analytic solution of Differential Equations, National Seminar on Graph Theory and Analysis, Thiruvananthapuram, February 4-6, 2008. Participation in Summer School, Workshops, Seminars, Symposia etc. 1. Gave an invited talk in the National Workshop on Mathematics Curriculum Designing and Placement Potential held at Baselius College, Kottayam, on 26 th and 27 th August, 2000.
2. Delivered an inaugural address on 13-12-2002 at H.H.M.S.P.B.N.S.S. College for women, Neeramankara, Thiruvananthapuram for the undergraduate Mathematics students. 3. Delivered a talk on Speed Mathematics at All Saints College, Thiruvananthapuram on 19-12-2002. 4. Delivered an Inaugural address at St. Gregorios College, Kottarakkara on 14-10-2005. 5. Gave an invited talk on Wavelets at the U.G.C. Academic Staff College on 1-12-05 to the participants of VI Refresher Course in Computer Applications. 6. 14.Gave an invited talk at H.H.M.S.P.B.N.S.S. College for women, Neeramankara, Thiruvananthapuram in the Regional Seminar on Coding Theory, on 30-10-2006. 7. Delivered two talks in the One day Regional Seminar in Mathematics, organized by the P.G. Department of Mathematics and PKMM Trust on 24-11-2006 at Mahatma Gandhi College, Iritty, Kannur. 8. Delivered an invited talk on 19-01-2007 at All Saints College, Thiruvananthapuram in the National Seminar on Operations Research and Applications. 9. Delivered an invited talk on Formal languages and Finite State Machine: A Tutorial at T.K.M. College of Engineering at Kollam on 12-09-2007. 10. Presented a poster in the International Conference on Advanced Materials and Composites (ICAMC-2007) at Thiruvananthapuram, October 24-26, 2007. 11. Presented a paper in the National Seminar on Graph Theory and Analysis, Mar Ivanios College, Thiruvananthapuram, February 4-6, 2008.
12. Delivered an invited talk on 05-01-2011 at All Saints College, Thiruvananthapuram in the three day State Level Workshop on Maple:- A Mathematical Tool. 13. Gave an invited talk on Differential Equations to the participants of XXI Refresher Course in Mathematics, UGC-Academic Staff College, University of Kerala on 02/07/2011. 14. Co-chaired a session in the National Seminar on Applied Linear Algebra held at Mar Baselios College of Engineering, Thiruvananthapuram on July 2012. 15. Gave an invited talk on Numerical Solution of Differential Equations to the participants of Refresher Course in Mathematics, UGC-Academic Staff College, University of Kerala on 20/09/2012. 16. Delivered an invited talk on Python in the 3-day National Seminar on Essentials of Latex Programming held at All Saints College, Thiruvananthapuram on 22-11- 2012. 17. Delivered a talk on Applications of Congruences in Real Life on 01-12-2012 at Christ Nagar International School, Thiruvananthapuram. 18. Delivered an invited lecture at Press Club, Thiruvananthapuram in the seminar organized by Vigyan Prasar, NCSTC and DST on 27-02-2013 for the media persons. 19. Delivered an invited talk at Mahatma Gandhi College, Thiruvananthapuram in the one day seminar on Numerical Methods and Python Programming on 02-03- 2013. 20. Delivered an invited lecture at Sun College of Engineering and Technology, Kanyakumari in the ISTE seminar on 29-04-2013. Workshops attended as Resource Person 1. Participated in the National Symposium on Mathematical Methods and Applications held on 22-12-2001 at I.I.T. Madras. 2. Attended the Short term course on The Applications of Transform Theory to Optics and Optical Communication organized by the Department of Optoelectronics and the Department of Mathematics, University of Kerala, Thiruvananthapuram, from 29-10- 2001 to 3-11-2001.
3. Attended the Short term course on The Applications of Transform Theory to Optics and Optical Communication-Phase II organized by the Department of Optoelectronics and the Department of Mathematics, University of Kerala, Thiruvananthapuram, from 10-4-2002 to 19-4-2002. 4. Attended the Orientation Programme on P.G. Semesterisation conducted by the Department of Mathematics, University of Kerala on 8-6-2001. 5. Attended the one day Workshop on Project Preparation under P.G. Semesterisation held in the Department of Mathematics, University of Kerala, on 12-9-2002. 6. Attended the Conceptualisation Workshop for Higher Secondary School Curriculum from 18-10-2004 to 20-10-2004 as a resource person. 7. Participated in the National Seminar on Discrete Mathematics and Graph Theory at S.N. College, Punalur on 07-07-2005 and 08-07-2005. 8. Participated in the Workshop on Human Rights and Values in Education at Mar Ivanios College on 13-12-2005. 9. Attended the Workshop on Quality Improvement in Research, University of Kerala, Thiruvananthapuram, September 28-29,2007. 10. Attended the Conceptualisation Workshop - Higher Secondary Curriculum from 02/11/2011 to 05/11/2011 as a resource person. 11. Participated in the Residential Workshop for the development of Curriculum approach of Science and Commerce at HSS Level from 16/02/2012 to 18/02/2012. 12. Participated in the Workshop for the Editing of the Approach Paper Science Stream from 08/03/2012 to 09/03/2012.