Personal Information

Dr. Asha Kumari Meena

Assistant Professor
Department of Mathematics

M.Sc. (IIT Kanpur), Ph.D. (IIT Delhi), Post Doctoral Research Fellow (TIFR Centre for Applicable Mathematics, Bangalore)

ashameena@curaj.ac.in
  • Computational Methods for Partial Differential Equations
  • Conservative and Non-conservative Hyperbolic System of PDEs
  • Finite Volume Schemes, Discontinuous Galerkin Schemes, WENO Schemes, Stochastic Galerkin Schemes

Educational Qualification

  • Ph.D., 2018, Department of Mathematics, Indian Institute of Technology, Delhi; Thesis Title: Robust Numerical Schemes for Hyperbolic Balance Laws, Thesis Supervisor: Dr. Harish Kumar.
  • M.Sc., 2012, Department of Mathematics & Statistics, Indian Institute of Technology, Kanpur.
  • B.Sc. Hons. (Phy.), 2010, Maharani College, University of Rajasthan, Jaipur.

Research Experience

  • Post Doc., March 2018 -  January 2020, TIFR Centre for Applicable Mathematics, Bangalore, Supervisor: Dr. Praveen Chandrashekar.

Teaching Experience

  • Assistant Professor, January 2020- Present, Department of Mathematics, Central University of Rajasthan, Kishangarh, Ajmer, Rajasthan.

Awards/Honours

  • Distinction in Doctoral Research, 2018
  • CSIR NET-JRF, 2012
  • RPSC SET, 2012
  • GATE 2012
  • IIT JAM 2010
  • Sh. P. V. Chandra Memorial Gold Medal for university topper in B.Sc. Hons (Phy.), 2010, University of Rajasthan, Jaipur.
  • ERASMUS+ Grant, April 2019 - July 2019, for research collaboration at University of Wuerzburg, Germany.
  • Travel Support, Organiser of XVII International Conference on Hyperbolic Problems, Theory, Numerics, Applications to attend and present a paper in HYP2018.
  • Finanical Support, March 2017, IIT Delhi, to attend and present a paper at HONOM conference, University of Stuttgart, Germany.
  • Finanical Support, Organiser of ICIAM 2019 Conference to attenad and present a paper in  9th International Congress on Industrial and Applied Mathematics - ICIAM 2019.
  • Hyperbolic system of PDEs; conservative and non-conservative
  • Robust high order numerical schemes, e.g. finite volume schemes, discontinuous Galerkin schems, WENO schemes, Stochastic collocation method
  • Positivity-preserving schemes, Well-balanced schemes, Uncertainty quantification
  • Euler equations, Ten-moment equations, Shear shallow water equations, Two-fluid plasma model, Ten-moment two-fluid equations, Kinetic equations
S. No. Authors Title of Article Journal/Conference Details Journal/Conference Publication Year
1 Praveen Chandrashekar, Boniface Nkonga, Asha K Meena, Ashish Bhole A path conservative finite volume method for a shear shallow water model Journal of Computational Physics Journal 2020

  • Asha Kumari Meena, Harish Kumar, and Praveen Chandrashekar, Positivity-preserving high-order discontinuous Galerkin schemes for Ten-Moment Gaussian closure equations, Journal of Computational Physics, ISSN:0021-9991, 339 (2017), 370-395. (Impact factor:3.553), Link: https://www.sciencedirect.com/science/article/pii/S002199911730219X

  • Asha Kumari Meena, and Harish Kumar, Robust MUSCL schemes for Ten-Moment Gaussian closure equations with source terms, International Journal on Finite Volumes, ISSN: 1634-0655, 13 (2017), 1-28. Link: https://hal.archives-ouvertes.fr/hal-01619021

  • Asha Kumari Meena, Harish Kumar, A Well-balanced scheme for Ten-Moment Gaussian closure equations with source term, Zeitschrift fr angewandte Mathematik und Physik (ZAMP), ISSN: 0044-2275, 69:8, 2018. (Impact factor:1.934), Link: https://link.springer.com/article/10.1007/s00033-017-0901-x

  • Asha Kumari Meena, Harish Kumar, Robust numerical schemes for Ten-Moment Two-Fluid plasma equations, Zeitschrift fr angewandte Mathematik und Physik (ZAMP), ISSN: 0044-2275, 70:23, 2019. (Impact factor: 1.934), Link: https://link.springer.com/article/10.1007%2Fs00033-018-1061-3

  • Hari Krishna Gaddam, Asha Kumari Meena, K. Ramachandra Rao, KdV-BergerSolution and Local Cluster Effect of Two-Sided Lateral Gap Continuum Traffic Flow Model, International Journal of Modern Physics B, ISSN: 0217-9792 , 33:15, 950153, 1-17, 2019. (Impact factor: 1.219), Link: https://www.worldscientific.com/doi/pdf/10.1142/S0217979219501534

  • Asha Kumari Meena, Rakesh Kumar, Praveen Chandrasekhar, Positivity-preserving finite difference WENO scheme for Ten-Moment equations with source term, Springer:  Journal of Scientific Computing, ISSN: 0885-7474, 82(15), 2020, (Impact factor: 2.592), Link: https://doi.org/10.1007/019-01110-1

  • Praveen Chandrashekar, Boniface Nkonga, Asha K Meena, Ashish Bhole, A path conservative finite volume method for a shear shallow water model, Journal of Computational Physics, 413 (2020), 109457, ISSN:0021-9991, (Impact factor:3.553 ), Link: https://doi.org/10.1016/j.jcp.2020.10

UGC STARTUP PROJECT

Title: Uncertainty Quantification of Two-species BGK Mixtures.

Duration: 2021-2023

Status: Onging

Amount: 10,00,000

Attended

  • Participated in Advanced Workshop on Theoretical and Computational Aspects of Non-linear Waves (TCANW), held at IIT Bombay during 27-31 May 2013.
  • Participated in a Workshop on Orthogonal Spline Collocation Methods (OSCM) for Partial Differential Equations, held at South Asian University, New Delhi, during 21-24 March 2014.
  • Participated in Advanced Workshop and Conference on Hyperbolic PDEs: Theory, Numerics and Applications (HPTNA), held at The LNM Institute of Information Technology, Jaipur, during 1-11 December 2014.
  • Participated in Conference on Computational PDE Finite Element Meet, held at TIFR CAM Bangalore during 18-20 December 2014.
  • Participated and presented a paper in Conference on Computational PDE 2015, held at TIFR CAM Bangalore during 21-23 December 2015.
  • Participated in Advanced Summer School on Hyperbolic Conservation Laws, held at TIFR CAM Bangalore during 16 May - 4 June 2016.
  • Participated and presented a paper in European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2017), held at University of Stuttgart Germany during 27-31 March 2017.
  • Attended the Seminar Series on Differential Equations, held at Department of Mathematics, IIT Jodhpur during 5 July 2021- 13 July 2021.
  • Attended HYP2020/21 DAY online International Conference on Hyperbolic Problems Theory, Numerics and Applications, July 2 2021.
  • Participated and presented a paper in the International Workshop: Efficient high-order time discretization methods for PDEs, held at Universita degli Studi Napoli Federico II, Anacapri, Italy, 11-13 May 2022 remotely.
  • Participated and presented a paper in the International Conference on Recent Advances in Mathematical Fluid Dynamics (ICRAMDF), held at MNIT Jaipur, 2-4 December 2022 remotely.
  • Attended 4-week Faculty Orientation Programme organised by TLC, Ramanujan College, University of Delhi, 20 January - 18 Feburary 2023 and obtained A+ grade.
  • Attended faculty development programme on 'Research Methods and Research Design' organised by TLC, Ramanujan College, University of Delhi, 06-12 March 2023 and obtained A+ grade.
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