Research Papers

On Refined Ritz vectors and polynomial characterization (with M. Ravibabu) Computers and Mathematics with Applications 67 (2014) 10571064.

A survey on computing prime implicants and implicates in classical and onclassical logics (with M. K. Raut) Comput. Sys. Sc. and Engg., 2 ( 2014) 111.

An adaptive anisotropic diffusion scheme for image restoration and
selective smoothing, (with V. B. Surya Prasath)
International Journal of Image and Graphics, 12 (2012) 18 pages.

Wellposed inhomogeneous nonlinear diffusion scheme for digital image
denoising, (with V. B. Surya Prasath) Journal of Applied
Mathematics, 2010 (2010) 14 pages

Multichannel image restoration using combined channel information and robust Mestimator approach, (with V. B. Surya Prasath) International Journal of Tomography and Statistics, 15 (2010) 922.

Multispectral image denoising by wellposed anisotropic diffusion scheme
with channel coupling, (with V. B. Surya Prasath) International
Journal of Remote Sensing, 31 (2010) 20912099.

A hybrid convex variational model for image restoration, (with V. B. Surya Prasath) Applied Mathematics and Computation, 215 (2010) 36553664.

An estimate of the misclassification error with hinge and square loss, (with J. K. Sahoo), International Journal of Computational and Applied Mathematics, 5:1 (2010) 89102.

An error analysis of Lavrentiev regularization in learning theory, (with J. K. Sahoo), AsianEuropean J. of Mathematics, 2 (2009) 129140.

Ringing artifact reduction in blind image deblurring and denoising problems by regularization methods, (with V. B. Surya Prasath), Seventh International Conference on Advances in Pattern Recognition (ICAPR09), Kolkata, India, Proc. of IEEE Computer Society, Feb (2009) 333336.

Controlled inverse diffusion models for image restoration and enhancement, (with V. B.
Surya Prasath), First International Conference on Emerging Trends in Engineering and Tech
nology (ICETET08), Nagpur, India. Proc. of IEEE Computer Society, July (2008) 9094.

Controlled inverse diffusion models for image restoration and enhancement, (with V. B. Surya Prasath), First International Conference on Emerging Trends in Engineering and Technology (ICETET08), Nagpur, India. Proc. of IEEE Computer Society, pp. 9094, Jul 2008.

Edge detectors based anisotropic diffusion for enhancement of digital images, (with V. B. Surya Prasath), Sixth Indian Conference on Computer Vision, Graphics and Image Processing (ICVGIP08), Bhubaneswar, India, Proc. of IEEE Computer Society, pp. 3338, Dec 2008. (Best Paper Award)

Robust MEstimators in Early Computer Vision Problems, (with V. B. Surya Prasath) International Conference in Statistics and Optimization, Kasmir, India, 2008. (Best Paper Award)

The role of edge indicator function in PeronaMallik diffusion equation, International Conference on Recent Trends in Computational PDE, Mumbai, India, 2008.

An algorithm for computing prime implicates in first order logic (with M.K.Raut), International Journal of Information and Communication Technology, 1 (2007) 413.

Mapcode computability, In: Proceedings of CIT2005 held at Bhubaneswar, 8:4.2 (2005) 125130. Preprint

An algorithm for computing prime implicants in first order logic (with M.K.Raut), In: Proceedings of CIT2005 held at Bhubaneswar, 8:5.1 (2005), 147151 (Awarded best paper in the conference.)

Convergence of two regularization methods for singularly perturbed PDE, Special Issue of J. Orissa Mathematical Society on Numerical methods,2324 (200405) 232242.

Prime implicants of first order formulas via transversal clauses (with Manoj K Raut), Int. J. Computer Mathematics 81:2 (2004) 157167.

Prime implicants of first order formulas (with Manoj K. Raut), Int. J. Computer Science and Applications 1:1 (2004) 111.

Showalter's regularization of an elliptic PDE (with S.Sheela), J. Applied Mathematics and Computation 158 (2004) 1928.

Spectral Regularization of a Singularly Perturbed Elliptic Partial Differential Equation, Chapter 11 in Differential Equations and Dynamical Systems, Ed. D.~Bahuguna, Narosa Pub. House, 2004. (Procc. Int Conf on Diffl Eqns \& Dynam Syst, held at IIT Kanpur, December 2002)

Lavrentiev regularization of an elliptic PDE (with S.Sheela), J. Applied Mathematics and Computation 18 (2004) 189205.

A unit resolution approach to knowledge compilataion (with Manoj K Raut), WSEAS Transactions on Computers 4:2 (2003) 945950.

Lardy's regularization of a singularly perturbed elliptic PDE (with S.Sheela), J. Computational and Applied
Mathematics 151 (2003) 2537.

Adequacy of calculational logic (with M.K.Raut), J. Orissa Mathematical Society 2122 (200203), 5368.

Triangles with given distances from a centre (withA.K.Maloo, A.K.Lal), Int. J. Mathematics Education in Science and Technology 33 (2002) 615620.

Convergence of Tikhonov regularization for unbounded operators, The Mathematics Education XXXVI (2002)
5051.

Tikhonov regularization of an elliptic PDE (with S.Sheela), Mathematics and Computers in Simulation 57
(2001) 14.

Computing prime implicants via transversal clauses, Int. J. Computer Mathematics 70 (1999) 417427.

Oscillation and dominance, J. Orissa Mathematical Society 16 (1997) 2730.

A matrix method of computation of prime implicates of propositional formula in CNF (with A.K.Shiny,
A.K.Pujari), In: Innovative Applications in Computing (Proc. Int. Computing Congress Series, ed. E. Balagurusamy, B. Sushila, Tata Mc Graw Hill), 1993, pp.3238.

A numerical method for singularly perturbed systems of linear twopoint boundaryvalue problems using partial
decoupling, J. Computational and Applied Mathematics 40 (1992) 5562.

Comments on partial decoupling and Euler's onestep schemes, Mathematics and Computers in Simulation
33 (1991) 197203.

Partial decoupling of slow and fast variables
(with M.K.Kadalbajoo), J. Mathematical Analysis and
Applications 155 (1991) 4654.

A modified version of Newton's iteration (with M.K.Kadalbajoo), Int. J. Computer Mathematics 33 (1990)
107113.

A numerical method for solving singularly perturbed systems of nonlinear twopoint boundaryvalue problems
(with M.K.Kadalbajoo), Int. J. Computer Mathematics 30 (1989) 117127.

An estimate of boundary layer thickness for linear singularly perturbed twopoint boundaryvalue problems
(with M.K.Kadalbajoo), J. Optimization Theory and Applications 63 (1989) 143151.

Boundary value technique to solve linear state regulator problems (with M.K. Kadalbajoo), J. Optimization
Theory and Applications 63 (1989) 91107.

A boundary value technique for solving singularly perturbed fixed endpoint optimal control problems (with
M.K.Kadalbajoo), Optimal Control Applications and Methods 9 (1988) 443448.

A cutting point technique for solving nonlinear state regulator problems (with M.K. Kadalbajoo), IMA J.
Mathematical Control and Information 4 (1987) 183194.
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