Ministry of Education
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Dr Abhimanyu Kumar

vidwan id: 335056
Male

Assistant Professor, Department of Mathematics
Lalit Narayan Mithila University

Google Scholar Icon 5.57E+10

Expertise

  • Mathematics

Publications

Total Articles 13
Books 0
Proceedings 0

Publications

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Scopus

Citations 25
h-index 2

CrossRef

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Citations 37
h-index 3
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Bio

I Am Doing My Research Work In The Field of Numerical Analysis By Combining Functional Analysis, Linear Algebra, Optimization Technique, Riemannian Manifolds and Other Allied Areas.

Personal Details

  • Male
  • Assistant Professor , Lalit Narayan Mithila University
  • Department of Mathematics, Lalit Narayan Mithila University
PhD
Other Institute 2018
M.Sc.
Ranchi University 2012
Assistant Professor Dec 2017 – Present
Lalit Narayan Mithila University | Department of Mathematics
Assistant Professor Aug 2013 – Dec 2014
Central University of Jharkhand | Department of Mathematics

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Co-Authors (3)

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Scholarly Work

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Scholarly Publications

Local Convergence of a Family of Kurchatov Like Methods for Nonlinear Equations

Open Access
book chapter
Year: 2023.
Authors: Ghurumuruhan Ganesan .,
DOI 10.1007/978-981-19-9307-7_5

Recurrence relations for a family of iterations assuming Hölder continuous second order Fréchet derivative

Open Access
Article
International Journal of Nonlinear Sciences and Numerical Simulation. Year: 2021. Volume: 22 , Issue: 3-4 , Pages: 267-285 .
Authors: Gupta D.K.;Martínez E.;Singh S.;Hueso J.L.;Srivastava S.;Kumar A.
DOI 10.1515/ijnsns-2016-0151
1

Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators

Open Access
article
Numerical Algorithms. Year: 2021. Volume: 86 , Pages: 1051-1070 .
Authors: Abhimanyua Kumar ., D. K. Gupta ., Eulalia Martínez ., José L. Hueso .,
DOI 10.1007/s11075-020-00922-9
3

Domain of existence and uniqueness for nonlinear hammerstein integral equations

Open Access
Article
Year: 2020. Volume: 8 , Issue: 3 .
Authors: Singh S.;Martínez E.;Kumar A.;Gupta D.K.
DOI 10.3390/math8030384
1

Local convergence of fourth and fifth order parametric family of iterative methods in Banach space

Open Access
article
Journal of Mathematical Chemistry. Year: 2020. Volume: 58 , Pages: 686-705 .
Authors: P. Maroju ., Á. A. Magreñán ., Í. Sarría ., Abhimanyu Kumar .,
DOI 10.1007/s10910-019-01097-y
13

Local convergence of Super Halley’s method under weaker conditioins on Frechet derivative in Banach spaces

Open Access
article
The Journal of Analysis. Year: 2020. Volume: 28 , Pages: 35-44 .
Authors: Abhimanyu Kumar ., D. K. Gupta .,
DOI 10.1007/s41478-017-0034-9
3

Local Convergence and Dynamics of a Family of Iterative Methods for Multiple Roots of Nonlinear Equations

Open Access
Article
Vietnam Journal of Mathematics. Year: 2019. Volume: 47 , Issue: 2 , Pages: 367-386 .
Authors: Gupta, Dharmendra Kumar;Martínez, Eulalia;Kumar, Abhimanyu;Hueso, José L.
DOI 10.1007/s10013-018-0322-y
1

Deformed super-Halley’s iteration in Banach spaces and its local and semilocal convergence

Open Access
Article
Afrika Matematika. Year: 2019. Volume: 30 , Issue: 3-4 , Pages: 413-431 .
Authors: Prashanth M.;Kumar A.;Gupta D.K.;Mosta S.S.