Journal Publications

1. R. Behera, D. Gerontitis, P. Stanimirovic, V. Katsikis, Y. Shi, Xinwei Cao. An Efficient Zeroing Neural Network for Solving Time-Varying Nonlinear Equations. Neural Computing and Applications (2023). https://doi.org/10.1007/s00521-023-08621-x
2. D. Gerontitis, R. Behera, Y. Shi, P. S. Stanimirovic. A Robust Noise Tolerant Zeroing Neural Network for Solving Time-Varying Linear Matrix Equations. Neurocomputing (2022). https://doi.org/10.1016/j.neucom.2022.08.036
3. D. Gerontitis,  R. Behera,  P. Tzekis, P. Stanimirovic.  A Family of Varying-Parameter Finite-Time Recurrent Neural Networks for Time-Varying Sylvester Equation and its Application. Journal of Computational and Applied Mathematics. 403, (2022), 113826. https://doi.org/10.1016/j.cam.2021.113826
4. R. Behera, J. K. Sahoo, R. N. Mohapatra, and M. Z. Nashed. Computation of Generalized Inverses of Tensors via t-Product. Numerical Linear Algebra with Applications (2021). https://doi.org/10.1002/nla.2416
5. R. Behera, G. Maharana, J. K. Sahoo, P. S. Stanimirovic. Characterizations of the Weighted Core-EP Inverses. Bulletin of the Iranian Mathematical Society (2022). https://doi.org/10.1007/s41980-022-00715-x
6. S. Das, J. K. Sahoo, and R. Behera. Further results on weighted core inverse in a ring.  Linear and Multilinear Algebra (2022) https://doi.org/10.1080/03081087.2022.2128023
7. J.K. Sahoo, P. Boggarapu, R. Behera and M. Z. Nashed. GD1 inverse and 1GD inverse for bounded operators on Banach spaces. accepted in Computational and Applied Mathematics. (June 2023)
8. P.  Stanimirovic,  D. Gerontitis,  P. Tzekis   R. Behera,  J. K. Sahoo.  Simulation of Varying Parameter Recurrent Neural Network with application to matrix inversion. Mathematics and Computers in Simulation (2021). https://doi.org/10.1016/j.matcom.2021.01.018
9. P. S. Stanimirovic,  J. R. Sendra,  R. Behera,  J. K. Sahoo,  D. Mosic;  J. Sendra,  A. Lastra.  Computing tensor generalized inverses via specialization and rationalization. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas.  https://doi.org/10.1007/s13398-021-01057-9
10. D. Mosic, P. S. Stanimirovic, J. K. Sahoo, R. Behera, and V. N. Katsikis. One-sided weighted outer inverses of tensors. Journal of Computational and Applied Mathematics (2021) 113293, https://doi.org/10.1016/j.cam.2020.113293
11. D. Gerontitis, R. Behera, J. K. Sahoo, P. Stanimirovic.  Improved finite-time zeroing neural network for time-varying division. Studies in Applied Mathematics, 2021; 146: 526-549. https://doi.org/10.1111/sapm.12354
12. R. Behera, G. Maharana, and J. K. Sahoo Further results on weighted core-EP inverse of matrices.  Results in Mathematics, 75, 174 (2020). 
13. B. Sitha, J. K. Sahoo, and R. Behera. Characterization of Weighted (b, c) Inverse of an Element in a Ring. Accepted in FILOMAT (2022)
14. R. Behera,  D. Mosic,  J. K. Sahoo, and  P. S. Stanimirovic. Weighted Inner Inverse for Rectangular Matrices, Quaestiones Mathematicae, (2020), https://doi.org/10.2989/16073606.2020.1836688
15. R. Behera, S. Maji, and R. N. Mohapatra. Weighted Moore-Penrose inverses of arbitrary-order tensors. Computational and Applied Mathematics. 39, 284, (2020), https://doi.org/10.1007/s40314-020-01328-y
16. R. Behera, A. K. Nandi, and J. K. Sahoo, Further results on the Drazin inverse of even-order tensors. Numerical Linear Algebra with Applications (2020) https://doi.org/10.1002/nla.2317
17. J. K. Sahoo, R. Behera, P. S. Stanimirovic and V. N. Katsikis. Computation of outer inverses of tensors using the QR decomposition. Computational and Applied Mathematics. (2020) https://doi.org/10.1007/s40314-020-01225-4
18. R. Behera and J. K. Sahoo, Generalized Inverses of Boolean Tensors via Einstein Product,  Linear and Multilinear Algebra (2020), https://doi.org/10.1080/03081087.2020.1737630
19. J. K. Sahoo and R. Behera, Reverse-order law for core inverse of tensors. Computational and Applied Mathematics, 39(97), (2020).
20. J. K. Sahoo, R. Behera, P. S. Stanimirovic, V. N. Katsikis, and H. Ma. Core and Core-EP Inverses of Tensors. Computational and Applied Mathematics, (2020). https://doi.org/10.1007/s40314-019-0983-5
21. K. Panigrahy, R. Behera, and D. Mishra,  Reverse order law for the Moore-Penrose inverses of tensors, Linear and Multilinear Algebra,  68(2), 2020, 246-264
22. R. Behera, S. Meignen, and T. Oberlin,  Theoretical analysis of the second-order synchrosqueezing transform, Applied and Computational Harmonic Analysis, 45 (2018) 379-404.
23. R. Maulik, O. San, and R. Behera,  An adaptive multilevel wavelet framework for scale-selective WENO reconstruction schemes, International Journal for Numerical Methods in Fluids, 87(5) (2018) 239-269.
24. R. Behera, and M. Mehra,  An adaptive wavelet collocation method for solution of the convection dominated problem on the sphere, International Journal of Computational Methods, 15(1) (2018) 1850080-1850098.
25. R. Behera and M. Mehra,  Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelet, Mathematics and Computers in Simulation, 132 (2017) 120-138.
26. R. Behera, and D. Mishra,  Further results on generalized inverses of tensors via Einstein product, Linear and Multilinear Algebra. 65(8) (2017) 1662-1682.
27. R. Behera, M. Mehra and N. K. R. Kevlahan,  Multilevel Approximation of the Gradient Operator on an Adaptive Spherical Geodesic Grid, Advances in Computational Mathematics, 41(3) (2015) 663-689.
28. R. Behera and M. Mehra,  A Dynamic Adaptive Wavelet Method for Solution of the Schrodinger Equation, Journal of Multiscale Modelling, 06 (1) (2015) 1450001-1430023.
29. R. Behera and M. Mehra,  Integration of Barotropic Vorticity Equation Over Spherical Geodesic Grid using Multilevel Adaptive Wavelet Collocation Method, Applied Mathematical Modelling, 37 (2013) 5215-5226.
30. R. Behera and M. Mehra,  Approximate solution of Modified Camassa-Holm and Degasperis-Procesi Equations using Wavelet optimized finite difference method, Int. J. Wavelets Multiresolut. Inf. Process.11 (2013) 1350019.

Projects

• Project Title: Designing Algorithms for Tensor Decompositions and Inversions to Solve Multilinear Systems.
  Duration: Approved on December 2022 for 3-years.
  Funding Agency: Science and Engineering Research Board (SERB), Govt. of India
  Principal Investigator: Dr. Ratikanta Behera


• Project Title: Efficient Algorithms for Solving Tensor Structure Equations and their Applications.
  Duration: June 2022 to June 2024.
  Funding Agency: IISc Bangalore
  Principal Investigator: Dr. Ratikanta Behera


• Project Title: A dynamically adaptive wavelet algorithm for solution of evolution equations with localized structures.
  Sanction on: June 2018 for 3-years.
  Funding Agency: Science and Engineering Research Board (SERB), Govt. of India
  Principal Investigator: Dr. Ratikanta Behera


• Project Title: Tensor-valued wavelet analysis and application to solution of differential equations.
  Sanction on: February 2018 for 3-years.
  Funding Agency: Science and Engineering Research Board (SERB), Govt. of India
  Principal Investigator: Dr. Ratikanta Behera

Current Students

Reviewer in International Journals

• IEEE Transactions on Signal Processing
  
• Linear and Multilinear Algebra
  
• Applied Mathematics and Computation
  
• Bulletin of the Iranian Mathematical Society
  
• Journal of Applied Mathematics and Computing
  
• Journal of Computational and Applied Mathematics
  
• Advances in Applied Clifford Algebras
  
• American Mathematical Society (AMS) mathematical review
  
• Acta Applicandae Mathematicae
  
• International Journal of Modern Physics C
  
• Special Matrices
  
• Numerical Functional Analysis and Optimization
  

Teaching

IISc Bangalore, India

• DS 288 Numerical Methods (Fall 2022)
• UE 201 Introduction to Scientific Computing (Fall 2022)

University of Central Florida, Orlando, USA

• MAP2302-Ordinary Differential Equation - I (Spring 2022)
• MAP2302-Ordinary Differential Equation - I (Fall 2021)
• MAS 3106 Linear Algebra   (Spring 2021)
• MAP2302-Ordinary Differential Equation - I  (Fall 2020)
• MAP2302-Ordinary Differential Equation - I (Spring 2020)

IISER Kolkata, India

• MA2103 - Mathematical Method - II
• MA1202 - Mathematical Method-I
• MA5102 - Partial Differential Equations
• MA1201- Mathematics-II
• ID4207 - Ordinary Differential Equations
• ID4104 - Numerical Analysis Laboratory
• CS1101 - Introduction to Computer Programming-I
• CS1201 - Introduction to Computer Programming-II
• MA3105 - Computer Laboratory