Publications:

    2024:

  1. A meshless numerical method for solving the two-dimensional shallow water equations. In Riverine, Estuarine and Marine Hydraulics, Springer, Book Chapter, Accepted for publication, 2024 (with D.Satyaprasad and Soumendra Nath Kuiry).​

  2. Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution, Numerical Algorithms, Click Here for more details, 2024 (with Pradip Roul).​

  3. A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models, Applied Mathematical Modelling, Click Here for more details, 2024 (with Somnath Maity and Joerg Kuhnert).​

  4. Development of Synthetic data generation by performance study of DCGAN Across three key dimensions: Filters, Colour Spaces and Resolution, Proceedings of the AIIII 2024, pp.815-827, 2024 (with A. Mageshwari).​

    5. 2023:

  5. Mathematical investigation of drug dispersion in the blood flow through Stenotic-Aneurysm tapered blood vessel, International Journal of Modelling and Simulation, Click Here for more details, 2023 (with J.V.Ramana Reddy and Hojin Ha).​

  6. A numerical investigation of pedestrian dynamics based on rational behavior in different densities scenarios, Physica A: Statistical Mechanics and Applications, Click Here for more details, 2023 (with P.S.Abdul Salam, S.Tiwari, A. Klar).​

  7. Particle methods for macroscopic model of coupled pedestrian and vehicular traffic flow, Springer Proceedings, Accepted, 2023 (with P.S.Abdul Salam, S.Tiwari, A. Klar).​

  8. A shock-capturing meshless method for solving the one-dimensional Saint-Venant equations on a highly variable topography, Journal of Hydroinformatics, Click Here for more details, 2023 (with D.Satyaprasad, Soumendra Nath Kuiry).

    9. 2022:

  9. A Meshless Numerical Method For Solving The One-Dimensional Shallow Water Equations. Proceedings of the 39th IAHR World Congress From Snow to Sea, pp. 3865-3873, Click Here for more details, 2022 (with D. Satyaprasad and Soumendra Nath Kuiry).​

  10. A coupled model for macroscopic behavior of crowd in flood induced evacuation, Physica A: Statistical Mechanics and its Applications, Elsevier, Click Here for more details, 2022 (with Somnath Maity).​

  11. Modelling and simulation of fluid flow through stenosis and aneurysm blood vessel: A computational hemodynamic analysis, Computer Methods in Biomechanics and Biomedical Engineering, Taylor and Francis, Click Here for more details, 2022 (with JV Ramana Reddy, Hojin Ha).​

  12. The modified Yule-Walker method for multidimensional infinite -variance periodic autoregressive model of order 1, Journal of the Korean Statistical Society, Springer, Accepted, 2022 (with Prasanth Giri, A. Wylomanska, Aleksandra Grzesiek and Wojciech Żuławiński).

    13. 2021:

  13. A mathematical model governing the short-range transport of microplastic particles in a lid-driven cavity with an obstacle. Communications in Nonlinear Science and Numerical Simulation, Click Here for more details (with Nityananda Roy, Thomas Goetz and K.W.Putra).​

  14. Fractional lower-order covariance (FLOC)-based estimation for multidimensional PAR(1) model with α−α−stable noise, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, Click Here for more details (with Agnieszka Wylomanska and Prashant Giri).​

  15. Numerical methods for particle Agglomeration and breakage in lid-driven cavity ows at low Reynolds numbers, Mathematics and Computers in Simulation, Click Here for more details (with Robert Duerr, Andreas Bueck, Jitendra Kumar, Nityananda Roy)

  16. Transport of ellipsoidal microplastic particles in a 3D lid-driven cavity under size and aspect ratio variation, Applied Mathematics and Computation, Click Here for more details (with Nityananda Roy, Thomas Goetz and K.W.Putra)​

  17. Bifurcation, uniqueness and multiplicity results for classes of reaction diffusion equations arising in ecology with nonlinear boundary conditions, Communications on Pure and Applied Analysis. Accepted (with Mohan Mallick, Sarath Sasi, Ratnasingham Shivaji).​

    18. 2020:

  18. Measures of cross-dependence for bi-dimensional periodic AR(1) model with α-stable distribution. Journal of Time Series Analysis. Vol.41 (6). pp.785 – 807, 2020 (with A.Wylomanska, Prashant Giri and A.Grzesiek).

  19. Existence, bifurcation and multiplicity results for a class of n x n p-Laplacian system. Springer Proceedings in Mathematics and Statistics, Vol.320, pp.283-295, 2020 (with Mohan Mallick).

  20. Differentiation of Early Mild Cognitive Impairment in Brainstem MR images using Multifractal Detrended Moving Average singularity spectral features. Bio Medical Signal Processing and Control, Elsevier. Vol.57.,2020 Click Here for more details (with P.Rohini and S.Ramakrishnan).

    21. 2019:

  21. Differentiation of EMCI in sMR images using segmented brainstem multifractal texture measures. Electronics Letters. Vol.55. pp.1213 – 1214, 2019 (with P.Rohini and S.Ramakrishnan).

  22. Fractional lower order covariance-based estimator for bidimensional AR(1) model with stable distribution. Int.J.Adv.Engg.Sci.Appl.Math., Vol. 11, pp.217-229, 2019 (with A.Grzesiek and A.Wylomanska).

  23. Characterization of Alzheimer conditions in MR images using Volumetric and Sagittal Brainstem Texture features, Computer Methods and Programs in Biomedicine, Vol.173, pp.147–155, 2019 (with S. Ramakrishnan and P. Rohini).

  24. Parallel computation of a MMDBM algorithm on GPU mining with big data. Cloud Computing for Geospatial Big Data Analytics. pp. 137–153. Springer, 2019 (with S.Sivakumar, S.Vidyanandini and Soumya Ranjan Nayak).

    25. 2018:

  25. Bifurcation and multiplicity results for a class of n x n p-Laplacian Systems. Communications on Pure and Applied Analysis, Vol.17, pp.1295–1304, 2018(with Mohan Mallick, R.Shivaji and B.Son).

  26. Infinite semipositone problems with a falling zero and non-linear boundary conditions, Electronic Journal of Differential Equations, Vol.2018, No.193, pp. 1–13, 2018(with Mohan Mallick, L. Sankar and R.Shivaji).

  27. Discriminating between scaled and fractional motion via p-variation statistics, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, Vol.10, No.1, pp. 9–14
    (with AgnieszkaWylomanska, Aleksandra Grzesiek and Janusz Gajda).

    28. 2017:

  28. A Finite Pointset Method for biharmonic equation based on mixed formulation, International Journal of Computational Methods, Vol.15, No.7, 2017 (with Jones Doss and N.Kousalya).

  29. Fractional Brownian motion time-changed by gamma and inverse gamma process. Physica A. Vol.468, pp.648 . 667, 2017 (with A. Kumara, A. Wyłomanska, R. Połoczanski).

    30. 2016:

  30. On a generalized 5x5 stencil scheme for nonlinear diffusion filtering. International Journal of Advances in Engineering Sciences and Applied Mathematics. Springer. Vol.8 (3), pp.194 – 206, 2016 (with J.Mahipal and S.K.Sharma).

    31. 2015:

  31. A Comparative Study on MMDBM Classifier Incorporating Various Sorting Procedure. Indian Journal of Science and Technology. Vol 8(9), pp.868–874, 2015 (with P.Ganesan and S.Sivakumar).

  32. An Experimental Analysis of Classification Mining Algorithm For Coronary Artery Disease. International Journal of Applied Engineering Research. Vol.10, pp. 14467-14477, 2015 (with P.Ganesan and S.Sivakumar).

    33. 2014:

  33. Nonlinear conservation law model for production network considering yield loss. Journal of Non-linear Science and Applications. Vol.7, pp.205-217, 2014 (with Tanmay Sarkar).

  34. On existence and stability analysis of a nonlinear conservation law model appearing in production system. Nonlinear Studies. Vol.21, pp.305-312, 2014 (with TanmaySarkar).

  35. Computation of transmission coefficients in the plain and corrugated electro-magnetic wave guides using finite pointset method. Applied Mathematical Modeling. Vol.38, pp.1838-1845, 2014 (with SudhakarMatle).

    36. 2013:

  36. GPU metrics for a linear solver.Neural, Parallel and Scientific Computations.Vol.21, pp.361-374, 2013. (with M.Panchatcharam and Axel Klar).

  37. GPU computing for meshfree particle method. International Journal of Numerical Analysis and Modeling, Series B. Vol.4, pp.394-412, 2013. (with M.Panchatcharam, V.Vetrivel, Axel Klar and S.Tiwari).

  38. Enforcing the discrete maximum principle for finite-difference solutions of coherence enhancing diffusion. Journal of Indian Academy of Mathematics. Vol.35, pp.209-215, 2013. (with J.Mahipal).

  39. Conservation model of serial supply chain network incorporating various velocity forms. Vol.26, pp.363-377, 2013. International Journal of Applied Mathematics. 2013. (with TanmaySarkar).

  40. A numerical study of Hierarchical matrix (H-matrix) for finite pointset method on solving a Poisson problem. International Journal of Applied Mathematics. Vol.26, pp.103-122, 2013. (withG.Satyanarayana).

    41. 2012:

  41. Finite pointset method for 2D dam-break problem with GPU acceleration. International Journal of Applied Mathematics. Vol. 25, pp.547-557, 2012. (withM.Panchatcharam).

  42. Axi-symmetric 2D simulation and numerical heat transfer characteristics for calibrating furnace in a rectangular enclosure.Applied Mathematical Modeling. Vol.36, pp.878-893, 2012. (withSudhakarMatle).

    43. 2011:

  43. Total variation stability bounds on second order schemes for discontinuous flow problems. Proceedings of the International Conference on Advances in Modeling, Optimization and Control. IIT Roorkee, 2011. (withRitesh Kumar Dubey and Nikhil Srivastava).

  44. A 2D numerical study on aspect ratio of the enclosure and aperture heat losses for the high temperature spherical furnace through FEM.International Journal of Applied Mathematics. Vol.24, pp.267-288, 2011. (withSudhakarMatle).

  45. On parallelization and load balancing aspects of finite pointset method. International Journal of Computer Mathematics. Vol.88, pp.360-374, 2011. (withA.B.Subrahmanyam, J. Kuhnert, S.Tiwari, Amol Joshi and AnshulSaxena).

    46. 2010:

  46. Modeling and numerical simulation of free surface flows. The Mathematics Student. Vol.78,pp.127-144, 2010. (withLemiGuta).

  47. Navier-Stokes-Brinkman system for interaction of viscous waves with a submerged porous structure.Tamkang Journal of Mathematics. Vol.41, pp. 217-243, 2010. (withLemiGuta).

  48. Recursive formulation of the matrix Padé approximation in packed storage. International Journal of Computers and Mathematics with Applications.Vol.59, pp.1532—1540, 2010.(with M. Kaliyappan and S.Ponnusamy).

    49. 2009:

  49. Asymptotic analysis of extrapolation boundary conditions for Lattice Boltzmann Methods.International Journal of Computers and Mathematics with Applications. Vol.57, pp.1313 - 1323, 2009. (with Maddu Shankar).

  50. Optimal die shape for film casting.Applied Mathematics Letters. Vol.22, pp.1598-1603, 2009. (with K.Selvanayagam, Thomas Goetz and V.Vetrivel).

  51. Formulation of Matrix Pade Approximation in Rectangular Full Packed Storage.Journal of Mathematics Research. Vol.1, pp.184-192, 2009. (with M. Kaliyappan and S.Ponnusamy).

  52. Optimal control of film casting processes.Int. J. Numerical Methods in Fluids.Vol.59, pp.1111-1124, 2009. (withK.Selvanayagam, Thomas Goetz and V.Vetrivel).

    53. 2008:

  53. Numerical simulation of free convection in isotropic porous medium.Proceedings of the ISHMT-ASME 2008. (withK.Venkataraman and Jaya Krishna).

    54. 2007:

  54. Study of heat flow through highly porous heat insulators.Studies in Applied Mathematics, 118, pp.1-15, 2007.(with Samir Roy).

    55. 2006:

  55. Understanding the porosity dependence of heat flux through glass fibre insulation. Mathematical and Computer Modeling.Vol.43, pp.485-492, 2006.(with Samir Roy and Michael Junk).

  56. A new predictive classifier for improved performance in data mining: object oriented design and implementation.Proceedings of the International Conference on Industrial Mathematics, IIT Bombay.Narosa, pp.491-514,2006. (withD.Srikanth and M.S.Shanmugam).

    57. 2005:

  57. A recursive packed algorithm for Cholesky factorization of tridiagonal and penta diagonal matrix.Journal of Indian Academy of Mathematics. Vol.27,pp.193-200,2005.

  58. A numerical case study on non-linear methods induced by linear Krylov solvers.Journal of Indian Academy of Mathematics.Vol.27, pp.431-438,2005.

  59. Parallel BiCGSTAB with latency hiding.Proceedings of the International Workshop on Modeling and Simulation, IIT Madras.Narosa, pp.328-335, 2005. (withA.BhaskarSubramanyam).

  60. Navier Stokes-Brinkmann model for incompressible flow over a porous layer.Proceedings of the International Workshop on Modeling and Simulation, IIT Madras.Narosa, pp.283-293, Narosa, 2005.(withS.Mohan Kumar and V.Vetrivel).

    61. 2004 down:

  61. Grid free method for Poisson equation.Proceedings of the International Conference on Wavelet Analysis and Applications, RIASM. New Age International, pp.151-166, 2004.(with S.Tiwari and J.Kuhnert).

  62. Lattice Boltzmann method for complex geometries. Proceedings of the International Conference on Combinatorial and Computational Mathematics, IIT Kharagpur.Narosa, pp.207-220, 2004.(withA.K.Singh, Axel Klar, M.K.Banda).

  63. Pattern search in a shoe sole image database using eigen patterns.Mathematical and Computer Modeling.Vol.37, pp.1281-1286, 2003. (withR.Rajendran and R.A.Panicker).

  64. Newton-preconditioned Krylov subspace solvers for system of nonlinear equations: A numerical experiment.Applied Mathematics Letters.Vol.14, pp.195-200, 2001.(withB.K.Bhagavan and S.Prasad).

  65. Testbed realization of Poisson characteristics in ATM QoS mechanism.Proceedings of the International Conference on Broadband Networking in New Millennium.Tata-McGraw Hill, pp.165-169, 2001.(withP.Mueller, B.Reuther and O.P.Vyas).

  66. Generalized eigenvalue problems: Lanczos algorithm with a recursive partitioning method.Computers and Mathematics with Applications.Vol.39, pp.211-224, 2000. (withB.K.Bhagavan).

  67. Comparison of Krylov subspace methods with preconditioning techniques for solving boundary value problems.Computers and Mathematics with Applications.Vol.38, pp.197-206, 1999.(withB.K.Bhagavan).

  68. Computing eigenvalues: Lanczos algorithm with a new recursive partitioning method. Computers and Mathematics with Applications.Vol.38, pp.107-117, 1999. (withB.K.Bhagavan).

  69. Comparison of Lanczos and CGS solvers for solving numerical heat transfer problems.Computers and Mathematics with Applications.Vol.37, pp.107-117, 1999. (withB.K.Bhagavan and K.S.Sastri).

  70. VBR mechanism in ATM: An experimental investigation.Proceedings of the International Conference on Recent Trends in Computer Modeling, Simulation and Communication.Tata McGraw Hill, pp.226-232, 1999.(with O.P.Vyas, B.Reuther and P.Mueller).

  71. Mode locking for an externally excited droplet.Computers and Mathematics with Applications.Vol.33, pp.21-33, 1997.(withR.Ravindran).

  72. A robust root finding algorithm using recursive partitioning method.Proceedings of the 7th National Seminar on Theoretical Computer Science.Tata McGraw-Hill, pp.90-93, 199.(with M.Mukherjee and K.G.Krishnakumar).

  73. A simple mathematical model for infectious disease.The Nepali Mathematical Sciences Report.Vol.15, pp.107-122, 1996.(withS.Tiwari and Michael Hack).

  74. Two shock interaction with new theory of shock dynamics. Computers and Mathematics with Applications.Vol.28, pp.37-47, 1994.(withR.Ravindran).

  75. Long time behaviour of the solution of a system of equations from new theory of shock dynamics.Computers and Mathematics with Applications.Vol.27, pp.91-104, 1994.(withR.Ravindran and P.Prasad).

  76. A case study with the new theory of shock dynamics.Applied Mathematics Letters.Vol.5, pp.89-92, 1992.(withP.Prasad and R.Ravindran).

  77. A two-dimensional Kaniel kinetic scheme for the isentropic compressible flow.Berichte (Forschung) der ArbeitsgruppeTechnomathematik, TU-Kaiserslautern, Vol.60, pp.1-52, 1991. (with M.Baecker, H.Neunzert and SuhailYounis).

  78. Computational models and matrix Pade approximants.Proceedings of the International Conference on Mathematical Modeling in Science and Technology.Tata-McGraw Hill, vol.2, pp.18-25, 1990. (withP.Achuthan).

  79. A recursive algorithm for matrix Pade approximants: the divide and conquer approach. Computers and Mathematics with Applications.Vol.17, pp.1359-1367, 1989. (withP.Achuthan).

  80. Ramanujan functions, continued fractions and rational approximations. Journal of Mathematics and Physical Sciences.Vol.23, pp.481-491, 1989.(withP.Achuthan).

  81. A new application of extended Euclidean algorithm for matrix Pade approximation.Computers and Mathematics with Applications.Vol.16, pp.287-296, 1988.(withP.Achuthan).

  82. On certain special functions, continued fractions and Pade approximations.Proceedings of the National Symposium on Special Functions. Tata McGraw-Hill, pp.50-63, 1987. (withP.Ponnusamy and P.Achuthan).

Journals as Editor:

  1. Special Issue on Time Series Modeling, Statistical Deep Learning and Data Science, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, 2021 (with Agnieszka Wylomanska and Janusz Gajda)

  2. Special Issue on PDE: Models, Optimization and Numerics, Guest Editor, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, 2019 (with Thomas Goetz)

  3. Special Issue on Modeling-Optimization-Simulation, Guest Editor, International Journal of Advances in Engineering Sciences and Applied Mathematics, Springer, March 2018 (with Thomas Goetz).

  4. Special Issue on PDE Models and Computation. Part IV. Guest Editor. International Journal of Advances in Engineering Sciences and Applied Mathematics. Springer. December 2016.

  5. Special Issue on PDE Models and Computation. Part III. Guest Editor. International Journal of Advances in Engineering Sciences and Applied Mathematics. Springer. September 2016.

  6. Special Issue on PDE Models and Computation. Part II.Guest Editor. International Journal of Advances in Engineering Sciences and Applied Mathematics. Springer. September 2015.

  7. Special Issue on PDE Models and Computation. Guest Editor. International Journal of Advances in Engineering Sciences and Applied Mathematics. Springer. June 2015.

  8. “Advances in PDE Modeling and Computation”, Proceedings of the International Workshop on Advances in PDE Modeling and Computation, Ane Press, 2013.

  9. “Modeling and Simulation”, Proceedings of the International Workshop on Modeling and Simulation in Life Science, Materials and Technology, Narosa, 2005 (with A.Avudainayagam and P.Misra).

  10. “Modeling and Simulation in Industrial Problems: Ocean Engineering and Chemical Processes”, Report on Technology Appreciation Program, IIT Madras, 2002 (with A.Avudainayagam).

  11. “Recent Advances in Mathematical Sciences”, Proceedings of the International Conference on Recent Advances in Mathematical Sciences, Volume 1 & 2, Narosa, 2000 (with S.B.Sinha and J.C.Misra).

  12. Proceedings of the International Conference on Mathematical Modeling of Nonlinear Systems, IIT Kharagpur, 1999 (with J.C.Misra).