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Integrated First Degree

B.E.(Biotechnology)
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Amiya Kumar Pani

goa Mathematics

Visiting Professor

Numerical Analysis and Scientific Computing, Partial Differential Equations and Control
Birla Institute of Technology & Science, Pilani KK Birla Goa Campus NH 17 B, Zuarinagar Goa-403 726 (India)
amiyap@goa.bits-pilani.ac.in
pani.amiya11@gmail.com
0832-2580485
9769697481
https://www.linkedin.com/in/amiya-pani-085872275/

Publications in BITS Goa (total publications:157+)

      1. Aditi Tomar, Lok Pati Tripathi, Amiya K. Pani (2024), Optimal error estimates of a non-uniform IMEX-L1 finite
        element method for time fractional PDEs and PIDEs, Appl. Numer. Math. 205, pp.137-168.
      2. Y. Yang, C.W.H. Green, Amiya K. Pani, Y. Yan (2024), Higher order schemes based on extrapolation for semilinear fractional differential equations, CALCOLO 61 (1), Article No. 2 pp. 1-40.https://doi.org/10.1007/s10092-023-00553-1
      3. B.Bir, D.Goswami, Amiya K. Pani (2024), Optimal error estimates of the penalty FEM for the unsteady Navier-Stokes equations with nonsmooth initial data. J Sci Comput 98, 51 (2024). https://doi.org/10.1007/s10915-023-02445-6
      4. H.Hutridurga, K.Kumar, Amiya K. Pani (2024), Discontinuous Galerkin methods for Vlasov-Stokes system, Comp.Meth. Appl. Math. https://doi.org/10.1515/cmam-2023-0243
      5. M. Khebchareon, Amiya K. Pani, G. Fairweather and R.I.Fernandes (2024), An alternate direction implicit finite element Galerkin method for linear Schrodinger equation, Numer. Algo. pp.1-28. https://doi.org/10.1007/s11075-023-0174 
      6. C. Carstensen, R. Khot, A.K. Pani (2023), Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes,SIAM J. Numer. Anal.61 (5), pp. 2460-2484.
      7. J. Yang, CWH Green, Amiya K. Pani and Y.Yan (2024), Uncondiitonally stable and convergent difference scheme for super-diffusion with extrapolation, J. Sci. Comp. 98 (1), Article No. 12, pp. 1-27. https://doi.org/10.1007/s 10915-023-02395-z
      8. C. Carstensen, R. Khot, A.K. Pani (2023), Supplementary Materials: Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes, SIAM J. Numer. Anal. 61 (5). SM1-SM21.
      9. R. Jain, A. K. Pani and S. Yadav (2023), HDG Method for Linear Parabolic Integro-Differential Equations,Applied Mathematics and Computation. 450, pp. 1-15, 127987 .
      10. N. Shravani and G.Murali Mohan Reddy and A. K. Pani(2022), Anisotropic a posteriori error analysis for the two-step backward differentiation formula for parabolic integro-differential equation, J. Sci. Comp.93 (2022), no. 1,Paper No. 26, 22 pp.
      11. C. Carstensen, R. Khot, A.K. Pani (2022), A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems, Numerische Mathematik, 151 (2022), no. 3, 551–600. 65N30 (65N12 65N15 65N50). https://doi.org/10.1007/s00211-022-01296-x
      12. Huangxin Chen, Amiya K. Pani and Weifeng Qiu (2022),A mixed finite element scheme for biharmonic equation with variable coefficient and von Karman equations, Commun. Comput. Phys. pp.1-33. doi: 10.4208/cicp.OA-2021-0255
      13. R. Shokeen, A. Patel, and A.K. Pani (2022), Primal hybrid method for quasi-linear parabolic problems, J. Sci. Comput. 92 (2022), no. 1, Paper No. 10, 26 pp.
      14. C. Carstensen, N. Nataraj, A.K. Pani (2022), Stability of mixed FEMs for non-selfadjoint indefinite second order linear elliptic PDEs , Numer. Math. 150 (2022), no. 4, 975–992.
      15. M. Khebchareon, A. K. Pany and Amiya K. Pani (2022), An H1-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems, Appl. Math. Comput. 424 (2022), Paper No. 127045, 14 pp.
      16. B. Bir, D.Goswami, A.K.Pani (2022), Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data, Comput. Methods Appl. Math. 22 (2022), no. 2, 297–325, https://doi.org/10.1515/cmam-2022-0012.
      17. B.Bir, D.Goswami, A.K. Pani (2021),Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data, IMA Journal of Numerical Analysis,https://doi.org/10.1093/imanum/drab072,arXiv preprint arXiv:2106.16052.
      18. V.Anaya, D.Mora, A.K Pani, R.Ruiz-Baier (2021),Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure, Journal of Numerical Mathematics,pp.1-31. Article number: 000010151520210053.https://doi.org/10.1515/jnma-2021-0053. arXiv preprint arXiv:2102.05816.
      19. W. Kang, B.A. Egwu, Y. Yan, A. K. Pani (2021), Galerkin finite element approximation of a stochastic semilinear fractional subdi usion with fractionally integrated additive noise, IMA J. Numer. Anal. pp.1-35, DOI: 10.1093/imanum/drab035.

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