L. JONES TARCIUS DOSS

@annauniv.edu

Professor, Department of Mathematics
College of Engineering Guindy, Anna University

L. JONES TARCIUS DOSS


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https://researchid.co/jones

EDUCATION

Education:
August 1995 Doctor of Philosophy (Mathematics)
Indian Institute of Technology, Bombay, India
Thesis title: Galerkin Finite Element Methods for Parabolic
Free Boundary Problems
Committee: Professor , IIT Bombay(Thesis Advisor),
Professor , Professor , IIT Bombay
(Doctoral Committee Members),
Professor , IIT Delhi (Indian Examiner),
Professor E. Peterson (Foreign Examiner)

April 1987 Master of Science (Mathematics)
The American College, Madurai - 625 002
Madurai Kamaraj University, INDIA
First-class with distinction (75% of marks)

April 1985 Bachelor of Science (Mathematics)
The American College, Madurai - 625 002
Madurai Kamaraj University, INDIA
First-class with distinction (78% of marks)

RESEARCH INTERESTS

Numerical Analysis, Partial Differential Equations, Algorithms
25

Scopus Publications

142

Scholar Citations

7

Scholar h-index

4

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • A MIXED H1− GALERKIN METHOD USING MIXED PARTIAL DERIVATIVE INTERMEDIATE FUNCTION FOR FOURTH ORDER ROSENAU EQUATION
    LJT DOSS, L AISHWARYA
    Applied Numerical Mathematics , 2026
    2026
  • Analysis of an -Galerkin Mixed Finite Element Method for the Rosenau Equation Using Three Intermediate Variables
    LJT Doss, L Aishwarya
    International Journal of Computational Methods, 2650018 , 2026
    2026
  • H1− Galerkin mixed finite element method using tensor product of cubic B-splines for two-dimensional Kuramoto-Sivashinsky equation
    LJT Doss, V Sindhujarani
    Computers & Mathematics with Applications 188, 19-39 , 2025
    2025
    Citations: 1
  • A finite pointset method for Kuramoto–Sivashinsky equation based on mixed formulation
    LJT Doss, N Kousalya
    Mathematical Methods in the Applied Sciences 48 (1), 765-778 , 2025
    2025
  • An optimal order -Galerkin mixed finite element method for good Boussinesq equation: L. J. T. Doss, V. J. Merlin
    LJT Doss, VJ Merlin
    Computational and Applied Mathematics 43 (7), 402 , 2024
    2024
  • A fitted mesh method for a coupled semi-linear system of singularly perturbed initial value problems
    L Doss
    International Journal for Computational Methods in Engineering Science and … , 2023
    2023
  • An Galerkin mixed finite element method for rosenau equation: L. J. T. Doss, L. Aishwarya
    LJT Doss, L Aishwarya
    Computational and Applied Mathematics 42 (3), 112 , 2023
    2023
    Citations: 3
  • On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics
    KS Sankar, LJT Doss
    Results in Control and Optimization 10, 100208 , 2023
    2023
    Citations: 1
  • Transport and the Stability Condition
    S Prabhakaran, LJT Doss
    Mathematical Analysis and Computing: ICMAC 2019, Kalavakkam, India, December … , 2021
    2021
  • A finite pointset method for extended Fisher–Kolmogorov equation based on mixed formulation
    LJT Doss, N Kousalya
    International Journal of Computational Methods 18 (01), 2050019 , 2021
    2021
    Citations: 7
  • Weighted average approximation in nite volume formulation for one dimensional single species transport and the stability condition for various schemes.
    LJTD S.Prabhakaran
    Springer Proceedings in Mathematics & Statistics, 344 , 2021
    2021
  • Total variation diminishing nite volume scheme for multi dimensional multi species transport with rst order reaction network.
    LJTD S.Prabhakaran
    Springer Proceedings in Mathematics & Statistics, 344 , 2021
    2021
  • Total Variation Diminishing Finite Volume Scheme for Multi Dimensional Multi Species Transport with First Order Reaction Network
    S Prabhakaran, L Jones Tarcius Doss
    International Conference on Mathematical Analysis and Computing, 481-498 , 2019
    2019
  • Weighted Average Approximation in Finite Volume Formulation for One-Dimensional Single Species Transport and the Stability Condition for Various Schemes
    S Prabhakaran, L Jones Tarcius Doss
    International Conference on Mathematical Analysis and Computing, 459-479 , 2019
    2019
  • A fourth‐order H 1 ‐Galerkin mixed finite element method for Kuramoto–Sivashinsky equation
    LJT Doss, AP Nandini
    Numerical Methods for Partial Differential Equations 35 (2), 445-477 , 2019
    2019
    Citations: 15
  • A finite pointset method for biharmonic equation based on mixed formulation
    LJT Doss, N Kousalya, S Sundar
    International Journal of Computational Methods 15 (07), 1850068 , 2018
    2018
    Citations: 4
  • Finite Pointset Method for biharmonic equations
    LJT Doss, N Kousalya
    Computers & Mathematics with Applications 75 (10), 3756-3785 , 2018
    2018
    Citations: 13
  • Mixed qualocation method for fourth order two-point boundary value problems
    LJT Doss, AP Nandini, P Devaraj
    AIP Conference Proceedings 1830 (1), 020027 , 2017
    2017
  • A constructive bandwidth reduction algorithm—A variant of GPS algorithm
    LJT Doss, P Arathi
    AKCE International Journal of Graphs and Combinatorics 13 (3), 241-254 , 2016
    2016
    Citations: 3
  • Consistency and Unconditional Stability of a Positive Upwind Scheme for One-Dimensional Species Transport Equation
    S Prabhakaran, LJT Doss
    Mathematical Analysis and its Applications: Roorkee, India, December 2014 … , 2015
    2015

MOST CITED SCHOLAR PUBLICATIONS

  • An H1-Galerkin mixed finite element method for the extended Fisher-Kolmogorov equation
    LJT Doss, AP Nandini
    Int. J. Numer. Anal. Model. Ser. B 3 (4), 460-485 , 2012
    2012
    Citations: 41
  • A fourth‐order H 1 ‐Galerkin mixed finite element method for Kuramoto–Sivashinsky equation
    LJT Doss, AP Nandini
    Numerical Methods for Partial Differential Equations 35 (2), 445-477 , 2019
    2019
    Citations: 15
  • Finite Pointset Method for biharmonic equations
    LJT Doss, N Kousalya
    Computers & Mathematics with Applications 75 (10), 3756-3785 , 2018
    2018
    Citations: 13
  • Galerkin method for a Stefan‐type problem in one space dimension
    LJT Doss, A K. Pani, S Padhy
    Numerical Methods for Partial Differential Equations: An International … , 1997
    1997
    Citations: 10
  • Total variation diminishing finite volume schemes for one dimensional advection-diffusion equation and the relationship between flux limiter and mesh parameters
    S Prabhakaran, LJT Doss
    Int. J. Pure Appl. Math 101 (2), 233-250 , 2015
    2015
    Citations: 9
  • A qualocation method for an unidimensional single phase semilinear Stefan problem.
    AKP L. Jones Tarcius Doss
    IMA Journal of Numerical Analysis 25, 139-159 , 2005
    2005
    Citations: 8
  • On superconvergence results and negative norm estimates for an unidimensional single phase Stefan problem,
    AKP L. Jones Tarcius Doss
    Numerical Functional Analysis and Optimization, 16 (1995), 153-175 , 1995
    1995
    Citations: 8
  • A finite pointset method for extended Fisher–Kolmogorov equation based on mixed formulation
    LJT Doss, N Kousalya
    International Journal of Computational Methods 18 (01), 2050019 , 2021
    2021
    Citations: 7
  • Piecewise Straight Line Approximation of Curve Existing in Slightly Curved Mesiobuccal Root Canal of Mandibular First Molar: A Radiographic Investigation
    J Prabhakar, MS Priya, LJT Doss, VG Sukumaran
    Int. j. morphol 31 (1), 131-5 , 2013
    2013
    Citations: 6
  • A Qualocation method for a semilinear second order two-point boundary value problem,
    AKP L. Jones Tarcius Doss
    Pitman Research Notes in Mathematics 377, 128-144 , 1998
    1998
    Citations: 6
  • A finite pointset method for biharmonic equation based on mixed formulation
    LJT Doss, N Kousalya, S Sundar
    International Journal of Computational Methods 15 (07), 1850068 , 2018
    2018
    Citations: 4
  • An Galerkin mixed finite element method for rosenau equation: L. J. T. Doss, L. Aishwarya
    LJT Doss, L Aishwarya
    Computational and Applied Mathematics 42 (3), 112 , 2023
    2023
    Citations: 3
  • A constructive bandwidth reduction algorithm—A variant of GPS algorithm
    LJT Doss, P Arathi
    AKCE International Journal of Graphs and Combinatorics 13 (3), 241-254 , 2016
    2016
    Citations: 3
  • A constructive bandwidth reduction algorithm
    P Arathi, LJT Doss, K Kanakadurga
    International Journal of Operational Research 15 (3), 308-320 , 2012
    2012
    Citations: 2
  • The equivalence between the Mann and Ishikawa iterations for generalized contraction mappings in a cone
    LJT Doss, T Esakkiappan
    Applied Mathematics 2 (11), 1369 , 2011
    2011
    Citations: 2
  • A bandwidth reduction algorithm for L-shaped and Z-shaped grid structured graphs
    LJT Doss, P Arathi
    Operations research letters 39 (6), 441-446 , 2011
    2011
    Citations: 2
  • H1− Galerkin mixed finite element method using tensor product of cubic B-splines for two-dimensional Kuramoto-Sivashinsky equation
    LJT Doss, V Sindhujarani
    Computers & Mathematics with Applications 188, 19-39 , 2025
    2025
    Citations: 1
  • On parameter uniform and layer resolving numerical method for a singularly perturbed model in aerodynamics
    KS Sankar, LJT Doss
    Results in Control and Optimization 10, 100208 , 2023
    2023
    Citations: 1
  • Aproximación a Segmentos de Línea Recta en la Curva Existente del Canal Radicular Mesiobucal Ligeramente Curvado del Primer Molar Inferior: Una Investigación Radiográfica
    J Prabhakar, MS Priya, L Doss, VG Sukumaran
    International Journal of Morphology 31 (1), 131-135 , 2013
    2013
    Citations: 1
  • A MIXED H1− GALERKIN METHOD USING MIXED PARTIAL DERIVATIVE INTERMEDIATE FUNCTION FOR FOURTH ORDER ROSENAU EQUATION
    LJT DOSS, L AISHWARYA
    Applied Numerical Mathematics , 2026
    2026

GRANT DETAILS

1. Department of Science and Technology, Government of India sponsored funding project No.
SR/S4/MS: 775/12 (dated 2nd April 2013) titled "Mesh-Less Finite Volume Method for Three Dimensional
Unsteady State Groundwater Flow and Transport through Saturated Porous Medium".
(total amount: 14 lakhs)