BITS Pilani

  • Page last updated on Thursday, September 21, 2017

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Research Activity

Our faculty members are not only excellent in teaching but also active in research. Hence, the Department of Mathematics has good amount of recognition and reputation for research. We are engaged persistently in intensive research activities, tackling the burning problems in science and technology. Our department has produced more than 100 research publications in national, international peer-reviewed journals and conferences. We are also offering research oriented projects to our students in the form of Study Oriented Projects (SOP), Design Oriented Projects (DOP) and Thesis. Besides the publications, invited talks and conference presentations, our faculty members also edit and review numerous scholarly reputed journals, articles, research notes, books etc.

  • Current Research Areas

    Computational Fluid Dynamics, Mathematical modelling of Fluid flows, Computational and Non-linear                 Dynamics.
    Cosmolgy and Relativity, Dark Energy, Modified Theories of Gravity.
    Graph Theoretic Algorithms.
    Mathematical Modelling of Biological Systems, Fluid Mechanics, Financial Mathematics.
    Dynamic Optimization, Mathematical Modelling, Neural Networks. 
    Multivariate Data Analysis, Bio Statistics.
    Fluid Dynamics.
    Include Relativity, Cosmology, Dark energy, Dark matter and   Alternative Theories of Gravity.
    Pseudo-Differential Operators, Distribution Theory, Wavelet Analysis and its Applications, Digital Image             Processing, Cryptography and Information Security.
    Discrete Fractional Calculus, Difference Equations, Nonlinear Analysis.
    Numerical solutions to elliptic partial differential equations,  Numerical Linear Algebra. 
    Theoretical Seismology, Elastic Wave Propagation, Solid Mechanics.
    Topological Dynamics. 

  • Ph.D. Qualifying Areas

    Algebra : Commutative Rings, Non-commutative Rings, Groups and their Representations, Field Theory, Module Theory, Homological Algebra, Number Theory and Algebraic Geometry.
     
    Analysis : Real Analysis, Complex Analysis, Functional Analysis, Nonlinear analysis, Differential Geometry.    
     
    Differential Equations and Applications : Ordinary & Partial Differential Equations, Mathematical Biology, Mathematical Modeling, Fluid Dynamics, Applied Functional Analysis, Image Processing, Dynamical Systems, Control Theory.
     
    Discrete Mathematics : Boolean and Fuzzy Logic, Graph Theory, Combinatorial Mathematics, Cryptography, Discrete Mathematical Structures, Design and Analysis of Algorithms, Lattice Theory, Coding Theory.
     
    Applied Statistics : Statistical Inference, Regression Analysis, Statistical Quality Control, Demography, Design of experiments & analysis of variance, Financial Mathematics, Stochastic Processes.
     
    Operations Research : Queuing Theory, Inventory Systems, Reliability Theory, Data Envelopment Analysis, Linear and Nonlinear Programming.
     
    Numerical Methods and Applications : Numerical methods for Ordinary, Partial and integro-differential equations and applications to fluid dynamics and Fracture Mechanics.
     
    Cosmology and Relativity : General Theory of Relativity, Alternative Theory of Relativity, Tensor Calculus. 

  • Projects

    Sponsored Ongoing Projects

    S.No.

    Title of the Project

    Principal Investigator

    Funding Agency

    Sanctioned Amount (Rs)

    Duration

            1.       

    Bianchi Type Cosmological Models in Modified Theories of Gravitation

    Dr. Bivudutta Mishra

    SERB, DST

    11.08 Lakhs

    2014-17

            2.       

    Spectral element methods for elliptic and parabolic interface problems in R2 on parallel computers

    Dr. N. Kishore Kumar 

    NBHM

    13.59 Lakhs

    2015-18

           3.       

    Development of an encryption algorithm for  secure transmission of color images

    Dr. Manish Kumar

    SERB, DST

    15.08 Lakhs

    2016-19


    Completed Projects

    S.No.

    Title of the Project

    Principal Investigator

    Funding Agency

    Sanctioned Amount (Rs)

    Duration

            1.    

    Study of cosmological models in bimetric theory of gravitation

    Dr. P K Sahoo

    UGC

    1.8 Lakhs

    2012-14

       2.Study on Cosmological Models of the Universe with Wet Dark Fluid in Alternative Theories of Gravitation Dr. Bivudutta MishraUGC1.9 Lakhs 2013-15 
    3.An application of optimal homotopy asymptotic method in the study of the flow of non-Newtonian fluids through pipes Dr. T S L Radhika BITS-Pilani (RIG) 2.0 Lakhs 2013-15 
    4. A certain study of wavelet analysis and its applications Dr. Manish Kumar BITS-Pilani (RIG)  1.36 Lakhs 2013-15 
    5. Applications of Discrete Fractional Calculus in Science and Engineering  Dr. Jagan Mohan JonnalagaddaBITS-Pilani (RIG) 1.5 Lakhs 2014-16 
    6. Study of Seismic Wave Propagation in heterogeneous medium Dr. Sumit Kumar Vishwakarma BITS-Pilani 
     
    1.5 Lakhs
     
    2014-16 
     
    7. Nonconforming Spectral element method for elliptic interface problems  Dr. Naraparaju Kishore KumarBITS-Pilani (RIG)   1.6 Lakhs2014-16
     
     

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