Research Activities

Sponsored Research Project: 
  • Project Title: A dynamically adaptive wavelet algorithm for solution of evolution equations with localized structures.
    Duration: June 2018 to December 2019.
    Funding Agency: Department of Science and Technology, Govt. of India
    Principal Investigator: Dr. Ratikanta Behera
  • Project Title: Tensor-valued wavelet analysis and application to solution of differential equations.
    Duration: February 2018 to December 2019
    Funding Agency: Department of Science and Technology, Govt. of India
    Principal Investigator: Dr. Ratikanta Behera
The reviewer of International Scientific Journals
  1. IEEE Transactions on Signal Processing
  2. Artificial Intelligence Review
  3. Linear and Multilinear Algebra
  4. Applied Mathematics and Computation
  5. Journal of Computational and Applied Mathematics
  6. Advances in Applied Clifford Algebras
  7. American Mathematical Society (AMS) mathematical review
  8. Acta Applicandae Mathematicae
  9. International Journal of Modern Physics C
  10. Special Matrices
  11. Bulletin of the Iranian Mathematical Society
  12. Journal of Applied Mathematics and Computing
  13. Numerical Functional Analysis and Optimization

 

Invited and Contributed Talks
  1. Tensor Unfolding and Computations, Department of Mathematics, BITS Pilani, Goa Campus, Goa, India. October 2019.
  2. Adaptive wavelet methods for solution of PDEs on the sphere, Department of Mathematics, University of Central Florida, Orlando, Florida, USA September 2019.
  3. Tensor Decompositions and Factorizations, Department of Mathematics, University of Central Florida, Orlando, Florida, USA.  September 2019.
  4. Adaptive wavelet methods for solution of PDEs and signal analysis. Department of Mathematics, Indian Institute Science Education and Research (IISER) Mohali, India March 2018.
  5. A spherical wavelet-based method for solution of PDEs. International Conference on Mathematical Analysis and Application in Modeling (ICMAAM), Department of Mathematics, Jadavpur University, Kolkata, India in January 2018
  6. Solution of multilinear systems using the Moore-Penrose inverse of tensors. An International Conference on Recent Advances in PDEs: Theory, Computations and Applications, Department of Mathematics, IIT Bombay, Powai, Mumbai, Maharashtra, June 2017.
  7. Resource person for Interactive Mathematics Training Camp, Institute of Mathematics and Applications, Andharua, Bhubaneswar, Odisha, June 2017.
  8. A spherical wavelet-based method for the solution of Partial Differential Equations. National Conference on Advance in Mathematics and its Applications (NCAMA 2017) and 44th annual conference of Odisha Mathematical Society, Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India
  9. Second-order synchrosqueezing transform for time-varying spectral analysis. International Conference on Fourier Analysis and Wavelets, (ICFAWL 2017), Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India.
  10. Adaptive wavelet-based methods for solution of PDEs and signal analysis. Department of Mathematics, Indian Institute Science (IISc) Bangalore, India, December 2016.
  11. Synchrosqueezing transform on a hyperbolic chirp. International Conference on Mathematical Analysis & its Applications, (ICMAA 2016), Department of Mathematics, Indian Institute of Technology Roorkee, India
  12. Numerical simulation of fourth order diffusion equation on a sphere using adaptive wavelet collocation method. National workshop on wavelet, multiresolution and multifractal analyses in earth ocean and atmospheric sciences-current trends (WMMFA 2012), IIT Mumbai, India.
  13. Applications and properties of different kinds of wavelet. Satellite Conference of International Conference on Mathematicians, 2010, New Delhi, India.