Numerical Analysis

13/01/2006 – 31/06/2010 : Lecturer, VSSUT 1/07/2010 – 25/05/2014 : Sr. Lecturer, VSSUT 26/05/2014 – 15/05/2015 : Reader, VSSUT 16/05/2015 – Till date : Associate Professor, VSSUT

Numerical Analysis, Wavelet, Subdivision scheme, Shape preserving schemes

International Publications

1. M.K.Jena, K.S.Sahu: Solving two point boundary value problem by combining the frame operational matrix method with the shooting method. Proc. Natl. Acad. Sci. India Sect. A.phys.sci (under review).
2. K.S.Sahu, M.K.Jena. Solution of Initial value problems using an operational matrix, Int.J.Appl. Comput. Math , Vol.06, No.61,(2020).
3. M.K.Jena, K.S.Sahu, Operational matrices from a frame and their Applications in solving Boundary value problems with mixed Boundary conditions, Int. J. Appl. Comput. Math. Vol (4), No. 127, (2018).
4. K.S.Sahu, M.K.Jena , Haar Wavelet: History and Its Applications. Springer proceedings in Mathematics and Statistics (Book series), pp.149-157,(2018).
5. M.K.Jena, K.S.Sahu. Haar Wavelet Operational Matrix Method to solve Initial value problem: A short survey, Int. J. Appl. Comput. Math. Vol (3), pp. 3961-3975, (2017).
6. Mahendra Kumar Jena and Manas Ranjan Mishra, A new compactly supported Biorthogonal Riesz Basis of Wavelets, Int. J. Intelligent Systems Design and Computing, Vol. 1, Nos. 1/2, (2017).
7. Mahendra Kumar Jena, P. Shunmugaraj, P. C. Das, A subdivision algorithm for generalized Bernstein-Bézier curves. Computer Aided Geometric Design 18(7): 673-698 (2001)
8. Mahendra Kumar Jena, P. Shunmugaraj, P. C. Das, A subdivision algorithm for trigonometric spline curves. Computer Aided Geometric Design 19(1): 71-88 (2002)
9. Mahendra Kumar Jena, P. Shunmugaraj, P. C. Das, A non-stationary subdivision scheme for generalizing trigonometric spline surfaces to arbitrary meshes. Computer Aided Geometric Design 20(2): 61-77 (2003)
10. Mahendra Kumar Jena, P. Shunmugaraj, P. C. Das, A nonstationary subdivision scheme for curve interpolation, ANZIAM Journal 44(E), E216-E235, 2003.
11. Mahendra Kumar Jena, Construction of compactly supported wavelets from trigonometric B-splines, International Journal on Wavelet, Multiresolution and Information Processing, Vol. 09, No. 05, pp. 843-865 (2011).
12. Mahendra Kumar Jena and Manas Ranjan Mishra,  Computation of Compactly Supported Biorthogonal Riesz Basis of Wavelets, Computational Intelligence in Data Mining, Vol-3, Springer 2015.
13. Mahendra Kumar Jena, Riesz basis of wavelets constructed from trigonometric B-splines, Analysis and Applications, 13(4), 419-436, 2015.
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