Amiya Kumar Pani, FNASc,FASc

About Amiya Kumar Pani, FNASc,FASc

Amiya Kumar Pani, FNASc,FASc, With an exceptional h-index of 26 and a recent h-index of 16 (since 2020), a distinguished researcher at Indian Institute of Technology Bombay, specializes in the field of Computational PDE, PDE, Industrial Mathematics.

His recent articles reflect a diverse array of research interests and contributions to the field:

Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier–Stokes Equations with Nonsmooth Initial Data

Discontinuous Galerkin Methods for the Vlasov–Stokes System

An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation

Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation

High-order schemes based on extrapolation for semilinear fractional differential equation

Discontinuous Galerkin methods with generalized numerical fluxes for the Vlasov-viscous Burgers’ system

Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions

Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data

Amiya Kumar Pani, FNASc,FASc Information

University

Position

Professor Department of Mathematics Powai

Citations(all)

2646

Citations(since 2020)

1055

Cited By

2090

hIndex(all)

26

hIndex(since 2020)

16

i10Index(all)

63

i10Index(since 2020)

38

Email

University Profile Page

Indian Institute of Technology Bombay

Google Scholar

View Google Scholar Profile

Amiya Kumar Pani, FNASc,FASc Skills & Research Interests

Computational PDE

PDE

Industrial Mathematics

Top articles of Amiya Kumar Pani, FNASc,FASc

Title

Journal

Author(s)

Publication Date

Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier–Stokes Equations with Nonsmooth Initial Data

Journal of Scientific Computing

Bikram Bir

Deepjyoti Goswami

Amiya K Pani

2024/2

Discontinuous Galerkin Methods for the Vlasov–Stokes System

Computational Methods in Applied Mathematics

Harsha Hutridurga

Krishan Kumar

Amiya K Pani

2024/1/30

An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation

Numerical Algorithms

Morrakot Khebchareon

Amiya K Pani

Graeme Fairweather

Ryan I Fernandes

2024/1/23

Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation

Journal of Scientific Computing

Jinping Yang

Charles Wing Ho Green

Amiya K Pani

Yubin Yan

2024/1

High-order schemes based on extrapolation for semilinear fractional differential equation

Calcolo

Yuhui Yang

Charles Wing Ho Green

Amiya K Pani

Yubin Yan

2024/3

Discontinuous Galerkin methods with generalized numerical fluxes for the Vlasov-viscous Burgers’ system

Journal of Scientific Computing

Harsha Hutridurga

Krishan Kumar

Amiya K Pani

2023/7

Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions

arXiv preprint arXiv:2305.19576

Harsha Hutridurga

Krishan Kumar

Amiya K Pani

2023/5/31

Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data

arXiv preprint arXiv:2302.12476

P Danumjaya

Anil Kumar

Amiya K Pani

2023/2/24

Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs

arXiv preprint arXiv:2302.05188

Aditi Tomar

Lok Pati Tripathi

Amiya K Pani

2023/2/10

Computational methods in applied mathematiCs

Vidar Thomée

Piotr P Matus

Almas Sherbaf

Ulrich Langer

Sergey I Repin

...

2023

HDG method for linear parabolic integro-Differential equations

Applied Mathematics and Computation

Riya Jain

Amiya K Pani

Sangita Yadav

2023/8/1

Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes

Carsten Carstensen

Rekha Khot

Amiya K. Pani

2022/5

Approximate controllability of linear parabolic equation with memory

Computers and Mathematics with Applications DOI: 10.1016/j.camwa.2022.11.003

Anil Kumar

Amiya K. Pani

Mohan C. Joshi

2022/11

Finite element penalty method for the Oldroyd model of order one with non-smooth initial data

Computational Methods in Applied Mathematics

Bikram Bir

Deepjyoti Goswami

Amiya K Pani

2022/4/1

Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation

Journal of Scientific Computing

N Shravani

G Murali Mohan Reddy

Amiya Kumar Pani

2022/10

An H 1 -Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems

DOI: 10.1016/j.amc.2022.127045

Morrakot Khebchareon

Amiya K. Pany

Ambit Kumar and Pani

2022/3

Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations

Journal of Numerical Mathematics

Verónica Anaya

David Mora

Amiya K Pani

Ricardo Ruiz-Baier

2022/9/27

STABILITY OF MIXED FEMS FOR NON-SELFADJOINT INDEFINITE SECOND-ORDER LINEAR ELLIPTIC PDES

Numerische Mathematik

Carsten Carstensen

Neela Nataraj

Amiya K Pani

2022/4

Primal hybrid method for quasilinear parabolic problems

Journal of Scientific Computing

Ravina Shokeen

Ajit Patel

Amiya K Pani

2022/7

A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems

Numerische Mathematik

Carsten Carstensen

Rekha Khot

Amiya K Pani

2022/7

See List of Professors in Amiya Kumar Pani, FNASc,FASc University(Indian Institute of Technology Bombay)

Co-Authors

H-index: 57
Carsten Carstensen

Carsten Carstensen

Humboldt-Universität zu Berlin

H-index: 27
Jinyun Yuan (J. Y. Yuan)

Jinyun Yuan (J. Y. Yuan)

Universidade Federal do Paraná

H-index: 25
kapil k sharma

kapil k sharma

South Asian University

H-index: 18
Samir Karaa

Samir Karaa

Sultan Qaboos University

H-index: 18
Kannan Moudgalya

Kannan Moudgalya

Indian Institute of Technology Bombay

H-index: 16
Neela Nataraj

Neela Nataraj

Indian Institute of Technology Bombay

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