Samir Kumar Bhowmik (PhD)
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1 Samir Kumar Bhowmik (PhD) Asisstant Professor, Department of Mathematics, Al Imam Muhammad Ibn Saud Islamic University, Riyadh, KSA since August 25, Phone: Teaching Experience / Employment: Associate Professor: Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh from July 13, 2011 to August 24, 2013 (On leave now since September, 2013). Assistant Professor: Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh from January 04, 2005 to July 12, Lecturer: Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh, March 1, 2001 to January 3, Lecturer: Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh, February 1-28, 2001 (Left the job to join Dhaka University). Tutorial Assistant: Department of Mathematics, Heriot- Watt University, Edinburgh, UK, April June Instructor/Researcher: The KdV Institute for Mathematics, University of Amsterdam, the Netherlands October 2008 to August Education: PhD, Numerical Approximation Of a Nonlinear Partial Integro-Differential Equation, Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS, United Kingdom, July, PhD supervisors, Prof. D. B. Duncan and Prof. G. J. Lord. MSc (with dissertation, Numerical solution of singular two point Boundary Value Problems ) in Mathematics (First Class, first position, MSc thesis supervisor: Prof. S. Banu), Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh, (exam held in 1999). BSc (Hon) in Mathematics (First Class, third position) with statistics and economics as minor courses, Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh, (exam held in 1997) Higher secondary certificate (science group, with Mathematics, Physics, Chemistry, Biology, English and Bengali), First division from Sreepur Degree College, Jessore, Bangladesh, School secondary certificate (science group, with Mathematics, Physics, Chemistry, Biology, English and Bengali, Geography), First division, Tikerbila High School, Jessore, Bangladesh, PhD Sutdent Supervised: Mrs Farzana Humaira, Department of Mathematics, University of Dhaka, since April, 2011 (jointly with Professor Dr Shafiqul Islam (main supervisor)). 1
2 Md. Nurul Huda, Department of Mathematics, University of Dhaka, since July, 2013 (jointly with Professor Dr Md Abdul Matin (main supervisor)). MS Sutdent Supervised: (1) Md. Nazmul Islam, Department of Mathematics, University of Dhaka, since October, 2012 (jointly with Professor Dr Md Abdul Matin). (2) Kazi Salahuddin, Department of Mathematics, University of Dhaka, since April, 2011 (completed successfully). (3) Sujal Proshadi, Department of Mathematics, University of Dhaka, December, 2011 (completed successfully). Others/ Administrative: Assistant House tutor ( , Jagannath Hall), University of Dhaka, Dhaka 1000, Bangladesh. Supervised several undergraduate projects, Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh. Research Interest: Mathematical and Numerical analysis, Mathematical biology, Computational finance, Scientific computing, Wave propagation, Seismic imaging, Numerical linear algebra. Publications: (Articles are linked over Submitted: (1) Samir K. Bhowmik, A Discontinuous Galerkin Finite Element Approximation of a Dot Theta Neuron Network Model, submitted. (2) Chris Stolk, Mostak Ahmed and Samir K. Bhowmik, Multigrid for the Helmholtz equation: Choice of the coarse scale operator, submitted. (3) Samir K. Bhowmik, Fast and efficient numerical methods for an extended Black- Scholes Model, submitted. (4) Samir K. Bhowmik, Efficient numerical approximations of a nonlinear partial integro-differential equation, submitted. (5) Samir K. Bhowmik, Numerical approximation of a linear elasticity model, submitted. (6) Samir K. Bhowmik, Piecewise Polynomial Approximation of a Nonlocal Phase Transitions Model, submitted. Revised/Accepted: (1) Md. Kazi Salah Uddin, Mostak Ahmed, and Samir K. Bhowmik, A Note on Numerical Solution of a Linear Black-Scholes Model, accepted in GANIT, Journal of Bangladesh Mathematical Socity, October, 2013 (in press, GANIT J. Bangladesh Math. Soc. (ISSN ) 33 (2013) ). Published: (1) Samir K. Bhowmik, Numerical convergence of a one step approximation of an integro-differential equation, Applied Numerical Mathematics (online published, http: //dx.doi.org/ /j.apnum ), August,
3 (2) Samir K. Bhowmik, and C. C. Stolk, Preconditioners based on Windowed Fourier Frames Applied to Elliptic Partial Differential Equations, Journal of Pseudo-Differential Operators and Applications, Springer, Volume 2, Number 3, , April, 2011, DOI: /s (3) M. Ahmed and Samir K. Bhowmik, Solution of transcendental equation using clamped cubic spline, Dhaka University Journal of Science, January, (4) Samir K. Bhowmik, Numerical Approximation of a Linear Parabolic PDE, Dhaka University Journal of Science, January, (5) Samir K. Bhowmik, D. B. Duncan, M. Grinfeld and G. J. Lord, Finite to infinite steady state solutions, bifurcations of an integro-differential equation, Discrete and Continuous Dynamical System - B, Pages: 57-71, Volume: 16, Issue: 1, July (6) Samir K. Bhowmik, Numerical Approximation of a Convolution Model of θ-neuron Networks. Applied Numerical Mathematics, Volume 61, Issue 4, April 2011, Pages , doi: /j.apnum (7) Samir K. Bhowmik, Stable numerical schemes for a partly convolutional partial integro-differential equation. Applied Mathematics and computations, Volume 217, Issue 8, 15 December 2010, Pages (8) Samir K. Bhowmik, Stability and Convergence Analysis of a One Step Approximation of a Linear Partial Integro-Differential Equation, Numerical Methods for Partial Differential Equations, Volume 27, Issue 5, pages , September (9) Samir K. Bhowmik, Nonstandard Numerical Integrations of a Lotka-Volterra System, International Journal of Open problems in Computer Science and Mathematics, Vol. 2. No. 2. June, (10) Samir K. Bhowmik, Error Estimate in Numerical Computations for a Linear Convolution Model, International Journal of Computing and Information Technology, IJCIT Vol.1, No. 2, July (11) Samir K. Bhowmik, Numerical Computation of a Nonlocal Double Obstacle Problem, International Journal of Open problems in Computer Science and Mathematics, Vol. 2. No. 1. March, (12) Samir K. Bhowmik and Sajeda Banu, Shooting Method For Solving Singular Boundary Value Problems, Published in Dhaka University Journal of Science in January (13) Samir K. Bhowmik and Sajeda Banu, Numerical solution of singular two point Boundary Value Problems, Published in the Journal of Bangladesh Mathematical Society in December, (14) Samir K. Bhowmik and Sajeda Banu, The Cubic Spline Method for solving singular BVP Involving Second Order Ordinary differential Equations, Published in Dhaka University Journal of Science in July (15) Samir K. Bhowmik and Sajeda Banu, Broydens Method for Nonlinear system of equations, Published in Journal of Bangladesh Mathematical Society in volume21, Thesis: 3
4 (1) Samir K. Bhowmik, Numerical approximation of a nonlinear partial integro-differential Equation. PhD thesis, Department of Mathematics, Heriot-Watt University, Edinburgh, United Kingdom, July, (2) Samir K. Bhowmik, Numerical solution of singular two point Boundary Value Problems. M. Sc. Thesis, Department of Mathematics, University of Dhaka, August, Research Presentations: (1) Fast and efficient numerical methods for an extended Black-Scholes Model, Department of Mathematics, Al Imam University, Riyadh, KSA, October, (2) Fast and efficient numerical methods for an extended Black-Scholes Model, Department of Mathematics, South Asian University, New Delhi, India, May, (3) Preconditioners based on Windowed Fourier Frames Applied to Elliptic Partial Differential Equations, Free University, Brussels, Belgium, April, (4) Piecewise Polynomial Approximation of Partial Integro-Differential Equations, invited Mathematics colloquium talk, 18/12/2009, Mathematics Department, University of Waterloo, Canada. (5) Windowed Fourier frames applied to PDEs, Computational Mathematics Seminar presentation, KdV Institute for Mathematics, University of Amsterdam, 07/12/2009, Netherlands. (6) Windowed Fourier frames applied to PDEs, poster, Werkgemeenschap Scientific Computing, 7-9 October 2009, Zeist, Netherlands. (7) Numerical approximation of a nonlinear partial integro-differential equation, poster, Werkgemeenschap Scientific Computing, October 2008, Zeist, Netherlands. (8) Numerical approximation of a nonlinear partial integro-differential equation, Maxwell Analysis Seminar, Mathematics Department, Heriot-Watt University, UK, April 29, (9) Piecewise polynomial approximation of an integro-differential equation, EEMCS, University of Twente, the Netherlands, February 28, 2008, Seminar presentation. (10) Piecewise polynomial approximation of an integro-differential equation, November 23, 2007 postgraduate research seminar, Mathematics Department, Heriot-Watt University, Edinburgh, UK. (11) Piecewise polynomial approximation of an integro-differential equation, November 22, 2007 MSCM, 14 India street, Edinburgh, UK. (12) Numerical Analysis, Bifurcation analysis of an Integro-Differential Equation, Postgraduate research seminar series, Dept. of Maths., Heriot-Watt University, Edinburgh, UK, February, (13) Numerical Analysis of an Integro-Differential Equation, on BICS summer school seminar series, University of Bath, Bath, UK, June, (14) Numerical Analysis of an Integro-Differential Equation, Edinburgh Mathematical Society Postgraduate Meeting, the Burn, Edzell, Scotland, UK, May, (15) Numerical solution of singular two point Boundary Value Problems in the International Conference on Applied Mathematics and Mathematical Physics 2000 held at Shahjalal University of Science and Technology, Shylhet, during September, Languages:: FORTRAN, MATLAB, C(beginners), Mathematica, Maple, AUTO, HTML(beginners), word, excel, power point, Latex. Short Courses Attended: 4
5 (1) Applied analysis, modeling courses for Postgraduate students, SMSTC, Heriot-Watt University, Edinburgh, UK, Oct, 2007-Mar, (2) EPSRC summer school on Modeling across the scales, Bath Institute of Complex Systems (BICS), Bath, UK, June 26-30, (3) An Introduction to Dynamical systems for Ph. D. students, Heriot Watt University, November 16- December 14, (4) LMS/ EPSRC short Instructional Course on Computational Differential Equations, in the Manchester University, September 11-16, (5) A course on FORTRAN programming from Computing centre, Dhaka University, gained a certificate. (6) Perturbation Theory with application, a short course in the Department of Mathematics, University of Dhaka with Dr. A.S. Rees of University of Bath, U.K., as the instructor. Academic Awards and funding: (1) Obtained travel grant BDT 20, to attend a conference in the South Asian University, New Delhi, India, 06-10, May, (2) Obtained 75, BDT from University grants Commission, Dhaka, Bangladesh, for the session, for a selected research project. (3) Obtained 3,00, BDT from science ministry, Bangladesh, for the session, for a selected research project, jointly with Dr C. Podder, Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh. (4) Awarded the MACS scholarship (January, 2005-December, 2007) to pursue my Ph.D. from School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, UK. (5) Awarded Dhaka University Travel grant, 2004, Dhaka, Bangladesh, to pursue my Ph.D. from School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, UK. (6) Awarded Gold Medal from A. F. Mujibur Rahman Foundation for securing First position in First Class in M. Sc. Pure Mathematics, Thesis group in (7) Awarded BDT from A. F. Mujibur Rahman Foundation for securing First position in First Class in M. Sc. Pure Mathematics, Thesis group in (8) Awarded University Gold Medal in the 42nd convocation, 2004, from Dhaka University for securing First position in First Class in M. Sc. Pure Mathematics, Thesis group in (9) Awarded BDT (approximately) from the University of Dhaka, Bangladesh, for securing First class in B. Sc. (Hon) and M.Sc. in Mathematics, in (10) Awarded BDT from the Ministry of Education, Bangladesh, for securing fifth place in Standard five examination (Thana level), in Professional Memberships: SIAM, Postgraduate member for Postgraduate member of the Edinburgh Mathematical Society, Edinburgh, UK. Member of Bangladesh Association for the Advancement of Science, Dhaka, Bangladesh. Life Member of Bangladesh Mathematical Society, Dhaka, Bangladesh. Reviewer: (1) International journal of computing and information technology. (2) International Journal of Open problems in Computer Science and Mathematics. 5
6 (3) Journal of Computational and Applied Mathematics. (4) International Journal of Computer Mathematics. 6
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