Dr. Deepti Kaur

Designation Assistant Professor Dr. Deepti Kaur
Email deeptikaur@ms.du.ac.in
Department Department of Mathematics
Dr. Deepti Kaur
Assistant Professor

Email: deeptikaur@ms.du.ac.in

Department: Department of Mathematics

Educational Qualifications
DegreeUniversityYear
B.Sc. (Hons.) Mathematics Hansraj College, University of Delhi 2007
M.Sc. Mathematics Hansraj College, University of Delhi 2009
M.Phil. Mathematics Department of Mathematics, University of Delhi 2011
Ph.D Mathematics Department of Mathematics, University of Delhi 2018

Degree: B.Sc. (Hons.) Mathematics

University: Hansraj College, University of Delhi

Year: 2007

Degree: M.Sc. Mathematics

University: Hansraj College, University of Delhi

Year: 2009

Degree: M.Phil. Mathematics

University: Department of Mathematics, University of Delhi

Year: 2011

Degree: Ph.D Mathematics

University: Department of Mathematics, University of Delhi

Year: 2018

Career Profile
DesignationInstitutionUniversityDuration
Assistant Professor (Adhoc) Hansraj College University of Delhi 21.07.2011 to 22.07.2012
Assistant Professor (Adhoc) Maitreyi College University of Delhi 23.07.2012 to 26.04.2023
Assistant Professor (Permanent) Mata Sundri College for Women University of Delhi 27.04.2023 - Present

Designation: Assistant Professor (Adhoc)

Institution: Hansraj College

University: University of Delhi

Duration: 21.07.2011 to 22.07.2012

Designation: Assistant Professor (Adhoc)

Institution: Maitreyi College

University: University of Delhi

Duration: 23.07.2012 to 26.04.2023

Designation: Assistant Professor (Permanent)

Institution: Mata Sundri College for Women

University: University of Delhi

Duration: 27.04.2023 - Present

Awards
TitleFromDate
Post Graduate Scholarship in Mathematics during M.Sc. National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Government of India 02 Aug, 2008
Merit Award for standing First in the University Examinations, 2006 Hansraj College, University of Delhi 02 Mar, 2007

Title: Post Graduate Scholarship in Mathematics during M.Sc.

From: National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Government of India

Date: 02 Aug, 2008

Title: Merit Award for standing First in the University Examinations, 2006

From: Hansraj College, University of Delhi

Date: 02 Mar, 2007

Publications
TitleTypePublisherPublication Date
A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations Research article Advances in Difference Equations 22 Apr, 2016
High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations Research article Applied Mathematics and Computation (Elsevier) 15 Jan, 2016
Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation Research article Numerical Algorithms (Springer) 08 Feb, 2017
A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation Research article Applied Mathematics and Computation (Elsevier) 15 Sep, 2017
High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations Research article Computational Methods in Applied Mathematics (De Gruyter) 01 Jan, 2017
Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions Research article Applied Mathematical Modelling (Elsevier) 01 Mar, 2018
Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind Research article Applied Numerical Mathematics (Elsevier) 01 May, 2019
A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations Research article Applied Mathematics and Computation (Elsevier) 01 Jul, 2019
High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to generalized Kuramoto-Sivashinsky equation Research article Journal of Difference Equations and Applications (Taylor & Francis) 21 Jan, 2019
Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation Research article Applied Mathematics and Computation (Elsevier) 01 Aug, 2022
High-order half-step compact numerical approximation for fourth-order parabolic PDEs Research article Numerical Algorithms (Springer) 01 Mar, 2024
High accuracy two-level compact implicit method in exponential form for 2D fourth order quasi-linear parabolic equations Research article Numerical Algorithms (Springer) 01 Nov, 2025

Title: A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations

Type: Research article

Publisher: Advances in Difference Equations

Date: 22 Apr, 2016

Title: High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations

Type: Research article

Publisher: Applied Mathematics and Computation (Elsevier)

Date: 15 Jan, 2016

Title: Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation

Type: Research article

Publisher: Numerical Algorithms (Springer)

Date: 08 Feb, 2017

Title: A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation

Type: Research article

Publisher: Applied Mathematics and Computation (Elsevier)

Date: 15 Sep, 2017

Title: High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations

Type: Research article

Publisher: Computational Methods in Applied Mathematics (De Gruyter)

Date: 01 Jan, 2017

Title: Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions

Type: Research article

Publisher: Applied Mathematical Modelling (Elsevier)

Date: 01 Mar, 2018

Title: Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind

Type: Research article

Publisher: Applied Numerical Mathematics (Elsevier)

Date: 01 May, 2019

Title: A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations

Type: Research article

Publisher: Applied Mathematics and Computation (Elsevier)

Date: 01 Jul, 2019

Title: High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to generalized Kuramoto-Sivashinsky equation

Type: Research article

Publisher: Journal of Difference Equations and Applications (Taylor & Francis)

Date: 21 Jan, 2019

Title: Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation

Type: Research article

Publisher: Applied Mathematics and Computation (Elsevier)

Date: 01 Aug, 2022

Title: High-order half-step compact numerical approximation for fourth-order parabolic PDEs

Type: Research article

Publisher: Numerical Algorithms (Springer)

Date: 01 Mar, 2024

Title: High accuracy two-level compact implicit method in exponential form for 2D fourth order quasi-linear parabolic equations

Type: Research article

Publisher: Numerical Algorithms (Springer)

Date: 01 Nov, 2025

Other Responsibilities
SocietyRoleFromTo
Timetable Committee Member 01 May, 2024 30 Apr, 2026
Practical Examination Committee Member 01 May, 2024 30 Apr, 2026
Saarang Committee Member 01 Jul, 2025 31 May, 2027

Society: Timetable Committee

Role: Member

From: 01 May, 2024

To: 30 Apr, 2026

Society: Practical Examination Committee

Role: Member

From: 01 May, 2024

To: 30 Apr, 2026

Society: Saarang Committee

Role: Member

From: 01 Jul, 2025

To: 31 May, 2027

Event Roles
Event NameRoleAssigned On
UG Research in Mathematics: How and Why! convenor 22 Sep, 2025

Event: UG Research in Mathematics: How and Why!

Role: convenor

Assigned On: 22 Sep, 2025