Ministry of Education
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Dr V Shanthi

vidwan id: 93135
Female

Associate Professor, Department of Mathematics
National Institute of Technology Tiruchirappalli

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Expertise

  • Mathematics

Publications

Total Articles 59
Books 0
Proceedings 0

Publications

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Scopus

Citations 611
h-index 13

CrossRef

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Citations 506
h-index 12
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Professional Recognition

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Community & Membership

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IMS, ISTE

Life member

Bio

Differential Equations and Numerical Analysis

Personal Details

  • Female
  • Associate Professor , National Institute of Technology Tiruchirappalli
  • National Institute of Technology
PhD
Bharathidasan University 2005
Associate Professor May 2007 – Present
National Institute of Technology Tiruchirappalli | Department of Mathematics

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Co-Authors (7)

Chandru

Dr Chandru M

Vellore Institute of Technology, Vellore

Devendra Dinesh

Dr Devendra Dinesh Kumar

Birla Institute of Technology and Science

Chandru

Dr Chandru M

N/A

Natesan

Prof Natesan Srinivasan

Indian Institute of Technology Guwahati

Pratibhamoy

Dr Pratibhamoy Das

Indian Institute of Technology Patna

Satpal

Dr Satpal Singh

Vellore Institute of Technology (VIT-AP) University, Andhra Pradesh

A

Prof A Tamilselvan

Bharathidasan University

Scholarly Work

NUMERICAL METHODS FOR SINGULARLY PERTURBED PROBLEMS WITH NON SMOOTH DATA

Funding Agency: NBHM

PI

-0001 - Ongoing

Ongoing
Numerical methods for singularly perturbed two parameter problems

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

-0001 - Ongoing

Ongoing
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Scholarly Publications

An almost second order uniformly convergent method for a two-parameter singularly perturbed problem with a discontinuous convection coefficient and a source term

Open Access
Article
AIMS Mathematics. Year: 2024. Volume: 9 , Issue: 9 , Pages: 24998-25027 .
Authors: Chandru M.;Prabha T.;Shanthi V.;Ramos H.
DOI 10.3934/math.20241219

A finite difference method for a singularly perturbed 2-D elliptic convection-diffusion PDEs on Shishkin-type meshes with non-smooth convection and source terms

Open Access
Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES. Year: 2023. Volume: 46 , Issue: 5 , Pages: 5915-5936 .
Authors: Shiromani R.;Shanthi V.;Vigo-Aguiar J.
DOI 10.1002/mma.8877
6 6

A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms

Open Access
Article
Year: 2023. Volume: 142 , Pages: 9-30 .
Authors: Shiromani R.;Shanthi V.;Das P.
DOI 10.1016/j.camwa.2023.04.004
67 70

A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term

Open Access
Article
Applied Numerical Mathematics. Year: 2023. Volume: 185 , Pages: 88-100 .
Authors: Rathore A.S.;Shanthi V.;Ramos H.
DOI 10.1016/j.apnum.2022.11.019
6 6

Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions

Open Access
Article
Year: 2023. Volume: 140 , Pages: 1-16 .
Authors: Clavero C.;Shiromani R.;Shanthi V.
DOI 10.1016/j.camwa.2023.03.010
4 3

A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers

Open Access
Article
Mathematics and Computers in Simulation. Year: 2023. Volume: 206 , Pages: 40-64 .
Authors: Shiromani R.;Shanthi V.;Ramos H.
DOI 10.1016/j.matcom.2022.11.003
15 13

Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions

Open Access
Article
Applied Numerical Mathematics. Year: 2023. Volume: 187 , Pages: 176-191 .
Authors: Shiromani R.;Shanthi V.;Ramos H.
DOI 10.1016/j.apnum.2023.02.010
9 8

Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE

Open Access
Article
Applied Numerical Mathematics. Year: 2023. Volume: 186 , Pages: 334-357 .
Authors: Singh S.;Kumar D.;Shanthi V.
DOI 10.1016/j.apnum.2023.01.020
9 7