Title Dr. First Name PRATIMA Last Name RAI
Designation Assistant Professor
Department Department of Mathematics
Email
Webpage
Phone.no 9996768321
Employement Info
Employee Type Nature Of Employment
Teaching Permanent
Educational
Degree/Certification Institution Year
Ph.D. - Numerical analysis of singularly perturbed differential difference turning point problems Panjab University 2013
PG Panjab University 2008
UG Panjab University 2006
Qualifications
Examination Name Conducted By Date of Passing
NET UGC 2008-06-22
Fellowship
Fellowship Name Fellowship Body Level
CSIR-JRF CSIR National
CSIR-SRF CSIR National
Research Guidance
PhD scholars under Supervision Awarded PhD Submitted
4 1
M.Phil Scholars – Under Supervision Awarded Degree Submitted
2
Research Publications
Article Name Publication Type Journal Name ISSN No Volume Year URL DOI
A hybrid numerical scheme for singular perturbation delay problems with integral boundary condition Research Papers in Scopus Listed Journals Journal of Applied Mathematics and Computing 1598-5865 2021 https://www.springer.com/journal/12190 https://doi.org/10.1007/s12190-021-01667-x
A parameter uniform scheme for delay parabolic singularly perturbed turning point problem Research Papers in Scopus Listed Journals Differential Equations and Dynamical Systems 0971-3514 2021 https://www.springer.com/journal/12591 https://doi.org/10. 1007 /s 12591-021-00577-5, 2021
An almost second order hybrid scheme for the numerical solution of singularly perturbed parabolic turning point problems Research Papers in Scopus Listed Journals Mathematics and Computers in simulation 0378-4754 185 2021 https://www.sciencedirect.com/journal/mathematics-and-computers-in-simulation https://doi.org/10.1016/j.matcom.2021.01.017
Robust numerical schemes for singularly perturbed delay parabolic convection diffusion problems with degenerate coefficient Research Papers in Scopus Listed Journals International Journal of Computer Mathematics 0020-7160 98 2020 https://www.tandfonline.com/action/journalInformation?journalCode=gcom20 https://doi.org/10.1080/00207160.2020.1737030
A higher order scheme for singularly perturbed delay parabolic turning point problem Research Papers in Scopus Listed Journals Engineering Computation 0264-4401 38 2020 https://www.emerald.com/insight/publication/issn/0264-4401 https://doi.org/10.1108/EC-03-2020-0172
A higher order numerical scheme for singularly perturbed parabolic turning point problems exhibiting twin boundary layers Research Papers in Scopus Listed Journals Applied Mathematics and Computation 0096-3003 2020 https://www.sciencedirect.com/journal/applied-mathematics-and-computation https://doi.org/10.1016/j.amc.2020.125095
A Robust Numerical Scheme for Singularly Perturbed Delay Differential Equations with Turning Point Research Papers in Scopus Listed Journals International Journal for Computational methods in Engineering Science and Mechanics 1550-2295 2019 https://www.tandfonline.com/journals/ucme20 https://doi.org/10.1080/15502287.2019.1687608
Numerical approximation for a class of singularly perturbed delay differential equations with boundary and interior layer (s) Research Papers in Scopus Listed Journals Numerical Algorithm 1017-1398 85 2019 https://www.springer.com/journal/11075 https://doi.org/10.1007/s11075-019-00815-6
A higher order uniformly convergent method for singularly perturbed parabolic turning point problems Numerical Methods for Partial Differential Equations 36 2019 https://onlinelibrary.wiley.com/journal/10982426 https://doi.org/10.1002/num.22431
Radius Estimates of Certain Analytic Functions Research Papers in Peer Reviewed Journals Honam Math. J. 1225-293X 43 2021 http://hmj.honammath.or.kr/ http://hmj.honammath.or.kr/
Analysis of a higher order uniformly convergent method for singularly perturbed parabolic delay problems, Research Papers in Scopus Listed Journals Applied Mathematics and Computation 00963006 448 2023 https://doi.org/10.1016/j.amc.2023.127906
NIPG finite element method for convection dominated diffusion problems with discontinuous data Research Papers in Scopus Listed Journals International Journal of Computational Methods 02198762 20 2023 https://doi.org/10.1142/S0219876223500019
A parameter uniform higher order scheme for 2D singularly perturbed parabolic convection–diffusion problem with turning point Research Papers in Scopus Listed Journals Mathematics and Computers in Simulation 03784754 205 https://doi.org/10.1016/j.matcom.2022.10.011
Analysis of SDFEM for Singularly Perturbed Delay Differential Equation with Boundary Turning Point Research Papers in Scopus Listed Journals International Journal of Applied and Computational Mathematics 2199-5796 2023
Uniformly convergent numerical approximation for parabolic singularly perturbed delay problems with turning points Research Papers in Scopus Listed Journals International Journal of Computational Methods 0219-8762 2023 DOI:10.1142/S0219876223500317
Finite element analysis of singularly perturbed problems with discontinuous diffusion Research Papers in Scopus Listed Journals Computational and Applied Mathematics 2023 https://doi.org/10.1007/s40314-023-02391-x
Research Projects
Title of the Project Project Type Year Of Sanction Output Start Date End Date
Numerical Methods for singularly Perturbed time dependent differential difference equations Minor 2014 obtained a parameter uniform numerical scheme for the singularly perturbed parabolic turning point problem with small time delay. Obtained parameter uniform error estimated and established the efficiency of the proposed scheme through numerical experiments. 2014-10-15 2015-06-30
Numerical Methods for singularly Perturbed time dependent differential difference equations Minor 2014 obtained a parameter uniform numerical scheme for the singularly perturbed parabolic turning point problem with small time delay. Obtained parameter uniform error estimated and established the efficiency of the proposed scheme through numerical experiments. 2014-10-15 2015-06-30
Geometric estimates of some normalised analytic functions Minor 2021 In this project, the bounds on fourth order Hankel determinants for the lemniscate starlike functions are computed. Hermitian-Toeplitz determinants are discussed for the starlike functions with respect to symmetric points allied with the hyperbolic cosine function. The estimates on the initial successive inverse coefficients as well as logarithmic coefficients, on third Hankel determinants and symmetric Toeplitz determinants are determined. Further, the necessary and sufficient convolution conditions for the starlike functions defined on the open unit disk and related to some geometric aspects of the hyperbolic tangent function are established. A subordination inclusion involving Bernardi integral operator for starlike functions associated with tanh z is established. 2021-10-29 2022-06-30
The Development and Analysis of the Finite Element Methods for a Class of Singular Perturbation Problems with Discontinuous Data Major 2022 2022-06-10 2025-06-09
Estimates of close to convex, starlike and convex functions Minor 2022 2022-08-31 2023-05-31
Honour And Awards
Name of the Award Name of the Awarding Body Award Category Level Date of Award
Best Paper Award Indian Mathematical Society Research National 2011-12-23
Best Paper Award Panjab University Research State/University Level 2011-02-28
Seminar / Conference Details / Workshops
Title of the Activity Attended As Date
Singular Perturbation Problem: An Overview Invited Talk 2021-11-15
Fitted Mesh Finite Difference Scheme for Singularly Perturbed Delay Differential Equations Invited Talk 2021-10-26
Scientific Research and Various Research Tools Invited Talk 2020-10-09
Numerical Analysis of a class of Singularly Perturbed Parabolic Turning Point Problem Invited Talk 2020-08-28
An epsilon Uniformly convergent hybrid scheme for a singularly perturbed parabolic turning point problem Oral Presentation 2019-07-17
Numerical Solution of Singularly Perturbed Delay- Differential Turning Point Problems Oral Presentation 2019-06-26
Singularly Perturbed Delay Differential Equations with boundary and Interior Layer Invited Talk 2019-01-22
A Higher Order epsilon Uniform method for Singularly Perturbed parabolic Turning Point Problems Invited Talk 2018-12-02
Robust Numerical Schemes for Singularly Perturbed Turning Point Problems Invited Talk 2017-12-03
Numerical Approximation of Singularly Perturbed Delay Differential Equations Invited Talk 2017-12-08
Fitted Operator finite Difference Scheme for Singularly Perturbed Delay Differential Equation With Turning Point Invited Talk 2016-12-06
Singularly Perturbed Turning Point Problems Oral Presentation 2022-03-15
Fitted operator finite difference scheme for a class of singularly perturbed differential- difference turning point problems exhibiting interior layers Oral Presentation 2015-04-03
An epsilon-Uniform Fitted Operator Method for Singularly Perturbed Delay Differential Turning Point Problem Oral Presentation 2014-12-14
A uniformly convergent finite difference scheme for singularly perturbed differential difference turning point problems Oral Presentation 2012-12-16
epsilon uniformly convergent finite difference scheme for singularly perturbed delay differential equations with twin boundary layer Oral Presentation 2012-12-30
The numerical study of singularly perturbed delay differential turning point problems Oral Presentation 2011-09-07
A uniformly convergent numerical method for singularly perturbed delay differential equation with turning point Oral Presentation 2011-02-28
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