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Sangita Yadav

Associate Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Discontinuous Galerkin Method, Finite Element Methods, Integro-differential Equations, Partial Differential Equations, Virtual Element Method
Department of Mathematics, Birla Institute of Technology and Science, Pilani, Pilani Campus, Vidya Vihar, Pilani, Rajasthan 333031, India.

Publications

Published/Accepted

  1. Amiya K. Pani and Sangita Yadav, An hp-local discontinuous Galerkin method for parabolic integro-differential equations, Journal of Scientific Computing, 46 (2011), 71-99.
  2. Sangita Yadav, Amiya K Pani and E.-J. Park, “Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations”, Mathematics of Computation, 82 (2013), 1297-1335.
  3. Sangita Yadav, Amiya K. Pani and Neela Nataraj, “Superconvergent discontinuous Galerkin methods for nonselfadjoint and indefinite elliptic problems”, Journal of Scientific Computing, 54 (2013), 45-76.
  4. Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, “Optimal error estimates of two mixed finite element methods for parabolic integro-differential equations with nonsmooth initial data”, Journal of Scientific Computing, 56 (2013), 131-164.
  5. Sarvesh Kumar and Sangita Yadav, “Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media”, International Journal of Partial Differential Equations, 2014 (2014), 1-16.
  6. Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, “Optimal L2− estimates for semidiscrete Galerkin method applied to parabolic integro-differential equations with non-smooth data”, ANZIAM Journal, 55(03), pp 245-266.
  7. Samir Karaa, Amiya K. Pani and Sangita Yadav, “A priori hp-estimates for discontinuous Galerkin approximations to linear hyperbolic iIntegro-differential equations”, Applied Numerical Mathematics, 96(2015), 1-23.
  8. Sangita Yadav and Amiya K Pani, “Superconvergence of a class of Expanded Discontinuous Galerkin Methods for Fully Nonlinear Elliptic Problems in Divergence Form”, Journal of Computational and Applied Mathematics, 333 (2018), 215-234.
  9. Sangita Yadav and Amiya K Pani, “Superconvergent Discontinuous Galerkin Methods for Nonlinear Parabolic Initial and Boundary Value Problems”, Journal of Numerical Mathematics, 27(2019), 183-202, https://doi.org/10.1515/jnma-2018-0035.
  10. Sangita Yadav, Soumyarani Mishra and Ambit K Pany, Backward Euler method for 2D Sobolev equation with Burgers’ type non-linearity”, AIP Conference Proceedings, 2819(2023).
  11. Riya Jain, Amiya K Pani and Sangita Yadav, “HDG Method for Linear Parabolic Integro-Differential Equations”, Applied Mathematics and Computation, 450(2023), 127987, https://doi.org
  12. Sangita Yadav, Meghana Suthar and Sarvesh Kumar, “A conforming virtual element method for parabolic integro-differential equations”, Computational Methods in Applied Mathematics, 24(2024) 1001-1019.
  13. Riya Jain and Sangita Yadav, “HDG Method for Nonlinear Parabolic Integro-Differential Equations”, Computational Methods in Applied Mathematics, 25(2025), 115-131.
  14. Meghana Suthar, Sangita Yadav and Sarvesh Kumar, “Mixed Virtual Element Method for Integro-differential Equations of Parabolic type”, Journal of Applied Mathematics and Computing, 70(2024), 2827–2856.
  15. Meghana Suthar and Sangita Yadav, “Mixed Virtual Element Method for Linear Parabolic Integro-Differential Equations”, International Journal of Numerical Analysis & Modeling, 21(2024), 504-527.
  16. Meghana Suthar and Sangita Yadav, “Two mixed Virtual Element Formulations for Parabolic Integro-differential Equations with Nonsmooth Initial Data”, ournal of Mathematical Analysis and Applications, 543(2025), 128981.
  17. Riya Jain and Sangita Yadav, “Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-differential Equations, International Journal of Numerical Analysis & Modeling, 22(2025), 202-225.
  18. Riya Jain and Sangita Yadav, “Hybridizable Discontinuous Galerkin Method for Non-linear Hyperbolic Integro-differential Equations”, Applied Mathematics and Computation, 498(2025), 129393.
  19. Shipra Gupta and Sangita Yadav, “Hybridizable Discontinuous Galerkin Method for Strongly Damped Wave Problem, Journal of Scientific Computing, 102(03)(2025), 60.
  20. Ankit Kumar, Sarvesh Kumar and Sangita Yadav, “Convergence analysis of virtual element methods for the Sobolev equation with convection, Journal of Applied Mathematics and Computing, 2025, https://doi.org/10.1007/s12190-025-02587-w
  21. Shipra Gupta and Sangita Yadav, “A priori Error Estimates for Sobolev Equation using HDG Method”, Computational and Applied Mathematics, 44, 408 (2025), https://doi.org/10.1007/s40025-03364-y
  22. Meghana Suthar, Ankit Kumar and Sangita Yadav, “Mixed Virtual Element Method for Strongly Damped Wave Equations”, Journal of Scientific Computing, 104(3)(2025), 1-24, https://doi.org/025-03007-8

Preprints

  • Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal L2-estimates for semidiscrete Galerkin methods for parabolic integro-differential equations with non smooth data", OCCAM preprints [09/38].
  • Amiya K. Pani and Sangita Yadav, An hp-local discontinuous Galerkin method for parabolic integro-di fferential equations", OCCAM preprints [09/30].
  • Deepjyoti Goswami, Amiya K. Pani and Sangita Yadav, Optimal Error Estimates of a Mixed Finite Element Method for Parabolic Integro-Differential Equations with Non Smooth Initial Data", OCCAM preprints [10/41].