Research at Department of Mathematics, Bengaluru Campus

National And International Journal Publications

• Sarada Jayan, K.V. Nagaraja, An optimal numerical integration method over a lune by using an efficient transformation technique, Advanced Studies in Contemporary Mathematics- Accepted, Indexed in Scopus.
• K.V. Nagaraja, Tattwa Darshi Panda, V. Kesavulu Naidu , Optimal Sub parametric Finite Elements for the Computation of Cutoff Wavenumbers in Waveguides, American Institute of Physics (AIP) Conf. Proc. 1715, 020048 (2016); http://dx.doi.org/10.1063/1.4942730 ,Indexed in Scopus.
• Narahari. N, B. Sooryanarayana,  Geetha K. N, Open Neighborhood Chromatic Number of an Antiprism Graph,Applied Mathematics E-Notes May 2015 (International Journal ), Volume No.15( 2015) Page No. 54-62, Indexed in Scopus. 
• V. KesavuluNaidu , P.G. Siddheshwar, K. V. Nagaraja,  Finite Element Solution of Darcy–Brinkman Equation for Irregular Cross-Section Flow Channel using Curved Triangular Elements, Procedia Engineering(Elsevier), 127 ( 2015 ) 301 – 308 ,Indexed in Scopus.
• Dr. B. Venkatesh, “Gauss Quadrature Rules for Numerical Integration over a Standard Tetrahedral Element by Decomposing into Hexahedral Elements”, International Journal Applied Mathematics And Computation, Volume 271, Nov. 2015, Page No. 1062-1070.
• Sarada Jayan, K.V. Nagaraja, Numerical Integration Over Three-Dimensional Regions Bounded By One or More Circular Edges, Procedia Engineering(Elsevier), 127 (2015) 347-353, Indexed in Scopus.
• Sarada Jayan, K.V. Nagaraja, A general and effective numerical integration method to evaluate triple integrals using generalized Gaussian quadrature,  Procedia Engineering(Elsevier), 127 ( 2015 ) 1041 – 1047, Indexed in Scopus.
• Tattwa Darshi Panda, K.V. Nagaraja, Finite Element Method for Solving  Eigenvalue Problem in Waveguide Modes, Global Journal of Pure and Applied Mathematcs, Vol. 11(3), 1241-1251(June 2015), Indexed in Scopus.
• Sarada Jayan, K.V. Nagaraja, Numerical integration over irregular domains using generalized Gaussian quadrature, Proceedings of the Jangjeon Mathematical Society, Vol. 18 (1), 21-30, 2015 (January), Indexed in Scopus.
• B. Sooryanarayana,  Geetha K. N, On the k-metric dimension of graphs, Journal of Mathematics and computational sciences August 2014 (International Journal), Volume No.4( 2014), No.5,Page No. 861-878
• K.V. Nagaraja, V. Kesavulu Naidu, PG Siddheshwar, “Optimal subparametric finite elements for elliptic partial differential equation using higher order curved triangular elements”, International Journal for Computational  Methods in Engineering Science and Mechanics, Vol. 15(2), 83-100 (2014), Publisher: Taylor & Francis, UK, Indexed in Scopus. 
• Sarada Jayan,  K.V.Nagaraja, Numerical integration over n-dimensional cubes using generalized Gaussian quadrature, Proceedings of Jangjeon Mathematical Society, Vol. 17 (1), 63-69, 2014 (January), Publisher: Jangjeon Mathematica Society, South Korea, Indexed in Scopus.
• Dr. B. Venkatesh, “Numerical Integration Over Polygonal Domains using Convex Quadrangulation and Gauss Legendre Quadrature Rules”, International Journal Of Engineering And Computer Science, Volume2, Issue 8, August, 2013 Page No. 2576-2610.
• Gupta D., M. L. Leema, Improving OCR by Effective Pre-Processing and Segmentation for Devanagari Script: A Quantified Study, Journal of Theoretical and Applied Information Technology Vol. 52 No.2 pg. 142-153, June 2013.Geetha K. N, K. N. Meera, Narahari. N,  B. Sooryanarayana, "Open Neighborhood Coloring of Prisms", Journal of Mathematical and Fundamental Sciences (Scopus Indexed) , Volume No. 45. No. 3,  2013, Page No. 245-262, 2013.Geetha K. N, K. N. Meera, Narahari. N,  B. Sooryanarayana, "Open Neighborhood Coloring of Graphs", International Journal of Contemp. Sciences, Volume No.l 8, No. 14, 2013, Page No. ,  675 - 686,  Nov 2013.
• K. N. Meera, B. Sooryanarayana, Strict Boundary Vertices of a graph, Advances and Applications in Mathematics, Vol 12, No. 1, 61-72, May 2013.
• V. Kesavulu Naidu and K.V. Nagaraja, Advantages of cubic arcs for approximating curved boundaries by subparametric transformations for some higher order triangular elements, Applied Mathematics and Computation, Vol.219,Issue 12, 6893-6910, February 2013 (Elsevier).
• K. N. Meera, B. Sooryanarayana, Radiatic dimension of a graph, Journal of computations and modelling, Vol.2,No.4, 109-131, December 2012.
• K. V. Nagaraja and Sarada Jayan, Generalized Gaussian quadrature rules over regions with parabolic edges, International Journal of Computer Mathematics Vol.89, 1631-1640, August 2012 , (Taylor and Francis).
• Deepa Gupta, Mr. Rahul Kumar Yadav, Ms. Nidhi Sajan, Improving Unsupervised Stemming by Fusing Partial Lemmatization Coupled with Data-Based Heuristic for Hind, International Journal of Computer Applications, Vol. 38, 1-8, January 2012.
• Neetu Srivastava, Effect of curvature on oscillatory free convection from an infinite horizontal cylinder embedded in a porous medium, Journal of Applied Mathematics and Fluid Mechanics, Vol.3, 85-94, June 2011.
• K. N. Meera, B. Sooryanarayana, Optimal Outer Sum Number of Graphs, International Journal of Combinatorial Graph Theory and Applications, Vol.4, 23-35, June 2011.
• H. T. Rathod, A. S. Hariprasad, B. Venkatesh, N.L. Ramesh, On Quartic Splines with applications to quadrature over curved domains, International e-Journal of Numerical Analysis and Related Topics, Vol.6, 126-146, March 2011.
• Sarada Jayan, K. V. Nagaraja, Generalized Gaussian quadrature rules over two-dimensional regions with linear sides, Applied Mathematics and Computation, Vol. 217, 5612-5621, February 2011 (Elsevier).
• H. T. Rathod, B. Venkatesh, Gauss Legendre – Gauss Jacobi Quadrature Rules over a tetrahedral Region, International Journal of Mathematical Analysis, Vol.5, 189-198, January 2011.
• V. Kesavulu Naidu, K. V. Nagaraja, The use of parabolic arc in matching curved boundary by point transformations for septic order triangular element and its applications, Advanced Studies in Contemporary Mathematics, Vol. 20, No. 3, 437-456, July 2010.
• H. T. Rathod, H. Y. Shrivalli, K. V. Nagaraja, V. Kesavulu Naidu, On a new cubic spline interpolation with application to quadrature, International Journal of Mathematical Analysis, Vol. 4 No. 28, 1387-1415, July 2010.
• K. V. Nagaraja, H. T. Rathod, Symmetric Gauss Legendre Quadrature Rules for Numerical Integration over an Arbitrary Linear Tetrahedra in Euclidean Three Dimensional Space, International Journal of Mathematical Analysis , Vol.4, 921-928, May 2010.
• H. T.Rathod, Arunkumar Gali, K.V. Nagaraja, K.T. Shivaram, Some composite numerical integration schemes for an arbitrary linear convex quadrilateral region, International e-Journal of Numerical Analysis and Related Topics”, Vol.4, 19-58, March 2010.
• H. T. Rathod ,A. S. Hariprasad, B. Venkatesh, C. S. Nagabhushana, On Quintic Splines with applications to function and integral function approximations, International e-Journal of “Numerical Analysis and Related Topics, Vol.4, 73-103, March 2010.
• H. T. Rathod ,A. S. Hariprasad, B. Venkatesh, C. S. Nagabhushana, The Use of Quintic Splines for High Accuracy Function and Integral Function Approximations, International e-Journal of Numerical Analysis and Related Topics, Vol.4, 104-128, March 2010.
• K. V. Nagaraja, V. Kesavulu Naidu, H. T. Rathod, The use of parabolic arc in matching curved boundary by point transformations for sextic order triangular element, International Journal of Mathematical Analysis , Vol.4, 357-374, February 2010.
• Meenakshi A. R., Jaya Shree D, On Schur Complement in k-Kernel Symmetric Matrices, , Int. Journal of Math.Analysis, Vol. 4, no. 7, 331 – 339, 2010.
• Meenakshi A. R., Jaya Shree D, Product of Range Symmetric Partitioned Matrices, Advances in Fuzzy Mathematics, 221-227, 2010.
• Meenakshi A. R., Jaya Shree D, On k-Kernel symmetric matrices, International journal of Mathematics and Mathematical sciences , Article ID 926217, 8 pages (2009).
• Deepa Gupta, Will Sentences Have Divergence Upon Translation? : A Corpus-Evidence Based Solution for Example Based Approach, Language in India, Vol.9, 1930-2940, October 2009.
• Meenakshi A. R., Jaya Shree D, On Schur Complement in k-Kernel Symmetric Matrices, , Int. Journal of Math.Analysis, Vol. 4, no. 7, 331 – 339, 2010.
• H. T. Rathod , K. V. Nagaraja, V. Kesavulu Naidu, B. Venkatesh, The use of parabolic arcs in matching curved boundaries by point transformations for some higher order triangular elements, Finite Elements in Analysis and Design, Vol. 44, 920-932, August 2008.
• H. T. Rathod , K. V. Nagaraja, Gauss Legendre Quadrature over a Triangle, Journal for Science, Engineering and Technology,Vol. 17, No.1. pp 1-8 (2005).
• H. T. Rathod , B. Venkatesudu, K. V. Nagaraja, Gauss Legendre Quadrature Formulae over A Tetrahedron, Journal for Science, Engineering and Technology,Vol. 17, No.2. pp 59-72 (2005).
• H. T. Rathod, B. Venkatesudu, K. V. Nagaraja, Gauss Legendre Quadrature Formulas For Tetrahedra,International Journal of Computational Engineering Science and Mechanics, Vol.6, No.3, 197-205 (2005).
• H. T. Rathod, K. V. Nagaraja, B. Venkatesudu, Gauss Legendre Quadrature over Triangle, Journal of the Indian Institute of Science, Vol. 84, No.5, pp 183-188 (2004).
• H. T. Rathod, K. V. Nagaraja, B. Venkatesudu, Gauss Legendre Quadrature over a Triangle, Acharya Nagarjuna International Journal of Mathematics & Information Technology, Vol.1, No.1, pp 33-52 (2004).

Paper Presented In National And International Conferences

• Radhakrishnan G., Deepa Gupta, Abhishek R., Ajith A., Sudarshan T. S. B., Analysis of Multimodal Time Series Data of Robotic Environment, In the proceeding of 12th International Conference on Intelligent Systems Design and Applications (ISDA), pages:734 – 739, November 27-29, 2012 (Cochin University of Science and Technology (CUSAT), India).
• SaradaJayan, Nagaraja, K. V., Generalized Gaussian quadrature rules over two-dimensional regions with a curved exponential edge, International Conference on Mathematical Sciences in honour of A. M.Mathai, St.Thomas College, Pala, January 3^rd to 5^th 2011.
• SaradaJayan, K V Nagaraja, Numerical improvement on the solution of a two-dimensional heat flow problem in an L-shaped body,56^th  Congress of The Indian Society of  Theoretical and Apllied Mechanics(An International Meet), SVNIT , Surat, Decemeber 19-21, 2011.
• SaradaJayan, Nagaraja, K. V., Generalized Gaussian quadrature nodes and weights for integration over a triangle, International Conference on Fluid Dynamics and it’s Applications, B. N. M. Institute of Technology, Bangalore, July 20^th to 22^nd 2011.
• Sarada Jayan, K. V. Nagaraja, Generalized Gaussian Quadrature Rules over triangle, Proceedings of International Conference in Emerging Trends in Mathematics and Computer Applications-ICETMCA-2010, pages: 175-177, December 2010 (Mepco-Schlenk Engineering College, Sivakasi).
• Eknath Venkataramani, Deepa Gupta, English-Hindi Automatic Word Alignment with Scarce Resources, Proceedings of International Conference on Asian Language Processing (IALP) 2010, pages: 253-256, December 2010(Harbin, Heilongjiang,China).
• Rahul Kumar Yadav, Deepa Gupta, Annotation Guidelines for Hindi-English Word Alignment, Proceedings of International Conference on Asian Language Processing (IALP) 2010, pages: 293-296, December 2010(Harbin, Heilongjiang,China).
• K. V. Nagaraja, V. Kesavulu Naidu, B. Venkatesh, H. T. Rathod, Gauss Legendre – Gauss Jacobi quadrature rules over a triangular region, Proceedings of 52^nd Congress of Indian Society of Theoretical and Applied Mechanics, pages: 232-241, December 2007 (IIT Khargapur).

Research Scholars