Dr. Himani Arora

Associate Professor

himani.arora@smvdu.ac.in

Detailed CV

Profile Highlights

Educational Qualification
Teaching Experience
Administrative Experience
Research Experience
Research Projects
Journal Publications
Conference Publications
Book/Chapters Written
Research Supervision
Patents
Conferences/Courses Organized
Expert Talks

Educational Qualification

Ph.D. in Mathematics – SLIET, Longowal (2017)
Specialization: Numerical methods and Computational techniques
M.Sc. in Mathematics – Panjab University, Chandigarh (2011)
UGC-JRF – June, 2011

Teaching Experience

Associate Professor, School of Mathematics
Shri Mata Vaishno Devi University, Katra (27th Dec. 2024–Present)
Assistant Professor, Department of Mathematics
Guru Nanak Dev University, Amritsar (31st Jan. 2020–26th Dec. 2024)
Assistant Professor, Department of Mathematics
DAV University, Jalandhar (5th Aug. 2014–30th Jan. 2020)

Journal Publications

H.Arora, A. Cordero, J.R. Torregrosa, On generalized one-step derivative-free iterative family for evaluating multiple roots, Iranian Journal of Numerical Analysis and Optimization, 14(1), 291-314, 2024.
H.Thakur, Z.I. Dar, M.Singh, H.Arora, P.Kaur, High-precision two-and three-dimensional atom localization in a microwave and radio-frequency driven Δ∇ system, Physica Scripta, 99(6), 065412, 2024. (Impact factor 2.6)
A. Mahindru, H. Arora, A. Kumar, S.K. Gupta, S. Mahajan, S. Kadry, J. Kim, PermDroid a framework developed using proposed feature selection approach and machine learning techniques for Android malware detection, Scientific Reports, 14(1), 10724, 2024. (Impact factor 3.8)
A. Mahindru, H.Arora, Parudroid: Framework that enhances Smart Phones Security using an ensemble learning approach, SN: Computer Science, 4, 630, 2023.
H.J. Saeed, A.H. Ali, R. Menzer, A.D. Poțclean, H. Arora, New Family of Multi-Step Iterative Methods Based on Homotopy Perturbation Technique for Solving Nonlinear Equations, Mathematics, 11(12), 2603, 2023. (Impact factor 2.3)
T. Singh, H. Arora, L. Jäntschi, A Family of Higher Order Scheme for Multiple Roots, Symmetry, 15, 228, 2023. (Impact factor 2.2)
R. Behl, H.Arora, E. Martínez , T. Singh, Approximating Multiple Roots of Applied Mathematical Problems Using Iterative Techniques, Axioms, 12, 270, 2023. (Impact factor 1.9)
H. Arora, A. Cordero, J.R. Torregrosa, R. Behl, S. Alharbi, Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions, Mathematics,10, 1530, 2022. (Impact factor 2.3)
R. Behl, H. Arora, CMMSE: A novel scheme having seventh-order convergence for nonlinear systems, Journal of Computational and Applied Mathematics, 404, 113301, 2022. (Impact factor 2.1)
J.R. Sharma, H. Arora, A family of fifth-order iterative methods for finding multiple roots of nonlinear equations, Numerical Analysis and Applications,14, 186-199, 2021. (Impact factor 0.4)
J.R. Sharma, H. Arora, Efficient Ostrowski-like methods of optimal eighth and sixteenth order convergence and their dynamics, Afrika Mathematika, 30, 921-941, 2019. (Impact factor 0.9)
H. Arora, J.R. Torregrosa and A. Cordero, Modified Potra–Pták Multi-step Schemes with Accelerated Order of Convergence for Solving Systems of Nonlinear Equations, Mathematical and Computational Applications, 24, 2019. (Impact factor 1.9)
J.R. Sharma, H. Arora, Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations, International Journal of Computer Mathematics, 95, 920-938, 2018. (Impact factor 1.7)
J.R. Sharma, H. Arora, Improved Newton-like methods for solving systems of nonlinear equations, SeMA Journal,74,147-163, 2017.
J.R. Sharma, H. Arora, Some novel optimal eighth order derivative-free root solvers and their basins of attraction. Applied Mathematics and Computation, 284, 149-161, 2016. (Impact factor 3.5)
J.R. Sharma, H. Arora, A new family of optimal eighth order methods with dynamics for nonlinear equations. Applied Mathematics and Computation, 273, 924-933, 2016. (Impact factor 3.5)
J.R. Sharma, H. Arora, A simple yet efficient derivative free family of seventh order methods for systems of nonlinear equations. SeMA Journal, 73, 59-75, 2016.
J.R. Sharma, H. Arora, Efficient derivative-free numerical methods for solving systems of nonlinear equations, Computational and Applied Mathematics, 35, 269-284, 2016. (Impact factor 2.5)
J.R. Sharma, H. Arora, Efficient Jarratt-like methods for solving system of nonlinear equations. CALCOLO, 51, 193-210, 2014. (Impact factor 1.4)
J.R. Sharma, H. Arora, An efficient family of weighted-Newton methods with optimal eighth order convergence. Applied Mathematics Letters, 29, 1-6, 2014. (Impact factor 2.9)
J.R. Sharma, H. Arora, M.S. Petković, An efficient derivative free family of fourth order methods for solving nonlinear equations. Applied Mathematics and Computation, 235, 383-393, 2014. (Impact factor 3.5)
J.R. Sharma, H. Arora, A novel derivative free algorithm with seventh order convergence for solving systems of nonlinear equations. Numerical Algorithms, 67, 917-933, 2014. (Impact factor 1.7)
J.R. Sharma, H. Arora, On efficient weighted-Newton methods for solving systems of nonlinear equations. Applied Mathematics and Computation, 222, 497-506, 2013. (Impact factor 3.5)
J.R. Sharma, H. Arora, An efficient derivative free iterative method for solving systems of nonlinear equations. Applicable Analysis and Discrete Mathematics, 7, 390-403, 2013. (Impact factor 1.1)
H. Arora, J.R. Sharma, Some efficient two-point iterative methods with memory for solving nonlinear equations. Journal of Combinatorics, Information & System Sciences, 38, 163-181, 2013.

Book/Chapters Written

A. Mahindru, H. Arora, DNNdroid: Android Malware Detection Framework Based on Federated Learning and Edge Computing, In book: Advancement in Smart Computing and Information Security, 96-107, 2023.

Expert Talks

Delivered a contributory talk on “Efficient iterative scheme for system of nonlinear equations” in the 10^th International Congress on Industrial and Applied Mathematics, held in Waseda University, Tokyo, Japan, August 20-25, 2023.
Gave a lecture on “Teaching Skills & Strategies” in Induction Course for newly Recruited TGT-Mathematics organized by Nvodaya Leadership Institute, Bhillowal, Amritsar during May 23 to June 03, 2022.
Delivered a lecture on “Storytelling Pedagogy in Mathematics” in Induction Course for newly Recruited TGT-Mathematics organized by Nvodaya Leadership Institute, Bhillowal, Amritsar during May 23 to June 03, 2022.
Gave a lecture on “Mathematics in day to day life” organized by DAV international School on February 21, 2022.
Delivered a lecture on “Innovations and Applications in Mathematics” in 4th National webinar on “Innovations and Applications in Mathematics” organized by Khalsa College Amritsar on February 8, 2022.

Courses being taught (Jan. 2025-May 2025)

Differential and Integral Equations MTL 6244-Lesson Plan
Discrete Structures MTL 2024-Lesson Plan
Metric Spaces MTL 3233-Lesson Plan