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Prof Anil Kumar

vidwan id: 230438
Male

Associate Professor, Department of Mathematics
Birla Institute of Technology and Science

Expertise

  • Mathematics

Publications

Total Articles 30
Books 0
Proceedings 0

Publications

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Scopus

Citations 70
h-index 5

CrossRef

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Citations 51
h-index 4
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Professional Recognition

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Community & Membership

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American Mathematical Society

2019
Annually

Society for Industrial and Applied Mathematics (SIAM)

2019
Annually

Ramanujan Mathematical Society (RMS)

2018
Life Member

Indian Society of Industrial and Applied Mathematics (ISIAM)

2018
Life Member

Indian Association for Computer Science and Discrete Mathematics

2017
Life Member

Bio

Scientific Computing; Control Theory; Ordinary and Partial Differential Equations; Integro-Differential Equations; Finite Element Method (FEM); Virtual Element Method (VEM)

Personal Details

  • Male
  • Associate Professor , Birla Institute of Technology and Science
  • BITS Pilani, K.K. Birla Goa Campus, Zuarinagar
Ph.D
Indian Institute of Technology Bombay 2006
Master of Philosophy
Indian Institute of Technology Roorkee 2000
Associate Professor Jun 2021 – Present
Birla Institute of Technology and Science | Department of Mathematics
Assistant Professor (Grade-III) Nov 2012 – May 2021
Birla Institute of Technology and Science | Department of Mathematics
Assistant Professor (Grade-II) Nov 2009 – Oct 2012
Birla Institute of Technology and Science | Department of Mathematics
Assistant Professor (Grade-I) Dec 2006 – Oct 2009
Birla Institute of Technology and Science | Department of Mathematics
Lecturer Jul 2006 – Nov 2006
Birla Institute of Technology and Science | Department of Mathematics

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Co-Authors (12)

Syed

Dr Syed Abbas

Indian Institute of Technology Mandi

A K

Dr A K Pani

Indian Institute of Technology Bombay

Amiya Kumar

Prof Amiya Kumar Pani

Birla Institute of Technology and Science

Aneesh

Dr Aneesh A. M.

Birla Institute of Technology and Science

Anirudh Singh

Dr Anirudh Singh Rana

Birla Institute of Technology and Science

Danumjaya

Prof Danumjaya Palla

Birla Institute of Technology and Science

Rajesh

Dr Rajesh Dhayal

Thapar Institute of Engineering & Technology

Anil

Prof Anil Kumar

Aligarh Muslim University

Sakthivel

Prof Sakthivel Rathinasamy

Bharathiar University

Muslim

Dr Muslim Malik

Indian Institute of Technology Mandi

Sudeep Kumar

Dr Sudeep Kumar Pradhan

Birla Institute of Technology and Science

Scholarly Work

Finite element calculations of currents in Scanning Probe Microscopes (SPM) with application to the Scanning Tunneling Microscope (STM) and the Atomic Force Microscope (AFM)

Funding Agency: BITS Pilani

Co-PI

2,000,000

2024 - Ongoing

Ongoing
Uniform Stabilization of Numerical Approximations of Wave Equations

Funding Agency: SERB India

PI

2,626,096

2024 - Ongoing

Ongoing
Numerical Approximation of Optimal Control Problems Using Virtual Element Method

Funding Agency: Department of Science and Technology, Govt. of India

PI

1,907,400

2020 - 2023

Completed
A Theoretical and Numerical Study of the Control Problems Involving Differential Equations with memory terms

Funding Agency: Department of Science and Technology, Govt. of India

PI

660,000

2019 - 2022

Completed
Some Studies on Neighborhood Magic Graphs

Funding Agency: Department of Science and Technology, Govt. of India.

Co-PI

1,269,000

2013 - 2016

Completed

Numerical Approximation of Optimal Control Problems Using Virtual Element Method

University BITS Pilani K K Birla Goa Campus
Year 2022

Orthogonal Spline Collocation Methods for the Differential Equations with Interfaces

University Birla Institute of Technology and Science
Year 2020

Application of optimal control theory in software reliability growth modelling

University BITS Pilani K K Birla Goa Campus
Year 2024
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Scholarly Publications

Mixed virtual element methods for optimal control of Darcy flow

Open Access
Article

Virtual Element Methods for Optimal Control Problems Governed by Elliptic Interface Problems

Open Access
Conference Paper

Modeling of Phase Change in Nanoconfinement Using Moment Methods

Open Access
Article

An Effort Allocation Model for a Three Stage Software Reliability Growth Model

Open Access
Book Chapter
Authors: Pradhan S.K.;Kumar A.;Kumar V.

Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems

Open Access
Article

Approximate controllability of linear parabolic equation with memory

Open Access
Article

Virtual element methods for general linear elliptic interface problems on polygonal meshes with small edges

Open Access
Article

Approximations of Quasi-Linear Elliptic Optimal Control Problems on Polygonal Meshes Under Variational and Virtual Discretizations

Open Access
Article