Natesan Srinivasan

@iitg.ac.in

Professor, Department of Mathematics
Indian Institute of Technology Guwahati

Natesan Srinivasan


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https://researchid.co/natesan

RESEARCH INTERESTS

Numerical Solution of Singular Perturbation Problems - Finite Difference/Element/Volume Methods, Homogenization, Multi-Scale Problems: Bloch Wave Decomposition - Numerical Methods, Efficient Numerical Methods for Fractional-Order Differential Equations, Computational Finance, Big Data Analytics
166

Scopus Publications

3200

Scholar Citations

31

Scholar h-index

76

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • An accurate finite-difference scheme for the numerical solution of a fractional differential equation
    A Seal, S Natesan
    Computational Methods for Differential Equations 14 (1), 165-187 , 2026
    2026
  • Uniform convergence analysis of dimensional-splitting weak Galerkin FEM and classical weak Galerkin FEM for singularly perturbed 2D nonlinear parabolic PDEs
    A Pal, S Natesan
    Communications in Nonlinear Science and Numerical Simulation 158, 109834 , 2026
    2026
  • Physics informed neural network framework for modified kawahara equations
    S Anand, S Natesan, Ş Toprakseven
    Advances in Computational Science and Engineering 8, 50-73 , 2026
    2026
  • Error estimates of the weak Galerkin method for singularly perturbed fourth-order reaction-diffusion problems
    S Toprakseven, S Natesan
    Numerical Algorithms, 1-32 , 2026
    2026
  • A PINN-enhanced SUPG-stabilized hybrid finite element framework with shock-capturing for computing steady convection-dominated flows
    S Cengizci, Ö Uğur, S Natesan
    Advances in Engineering Software 216, 104135 , 2026
    2026
    Citations: 3
  • Application of PINN to obtain solution of boundary layer problems arising in fluid dynamics
    A Raina, S Badireddi, S Natesan
    Mathematical Foundations of Computing 10, 89-108 , 2026
    2026
    Citations: 9
  • A Physics‐Informed Neural Network Framework for Tumor‐Immune Interactions, Metastatic Invasion, and Haptotaxis Systems
    A Raina, S Natesan
    Mathematical Methods in the Applied Sciences 49 (5), 4450-4475 , 2026
    2026
  • Physics-informed post-processing of stabilized finite element solutions for transient convection-dominated problems
    S Cengizci, Ö Uğur, S Natesan
    arXiv preprint arXiv:2603.03259 , 2026
    2026
    Citations: 1
  • Stability and robust error analysis of an L1-NIPG method for time-fractional singularly perturbed differential equations
    V Santhanakumar, S Maji, S Natesan
    Journal of Applied Mathematics and Computing 72 (2), 91 , 2026
    2026
  • A weak Galerkin finite element method for singularly perturbed 2D elliptic boundary-value problems of reaction-diffusion type with exponentially graded mesh
    A Raina, S Natesan
    International Journal of Computer Mathematics 103 (2), 304-320 , 2026
    2026
  • An Effective Dimension-Reducing Technique for Two-Dimensional Nonlinear Space-Fractional Diffusion Equation
    A Seal, S Natesan
    Communications on Applied Mathematics and Computation, 1-15 , 2026
    2026
  • Robust error estimates for weak Galerkin finite element method for singularly perturbed 2D reaction-diffusion elliptic boundary-value problems on various layer-adapted meshes
    A Pal, S Natesan
    Numerical Algorithms, 1-40 , 2026
    2026
  • Reliable Numerical Pricing of Multi–Asset European Options Using a Weak Galerkin FEM for Generalized Black–Scholes Models
    S Kumar, S Natesan
    Numerical Methods for Partial Differential Equations 42 (1), e70063 , 2026
    2026
    Citations: 1
  • Physics-informed neural network for option pricing weather derivatives model
    S Bansal, P Boro, S Natesan
    Computers & Mathematics with Applications 200, 1-21 , 2025
    2025
    Citations: 2
  • Analysis of an Accurate Weak Galerkin Finite Element Method for the PDEs Arising in Zero-Coupon Bond Pricing
    S Kumar, S Natesan
    Computational Economics, 1-27 , 2025
    2025
  • A discontinuous Galerkin time-stepping based NIPG framework for Black-Scholes option pricing and validation with real market data.
    J Kaur, S Natesan
    Advances in Computational Science & Engineering (ACSE) 6 , 2025
    2025
  • An efficient and robust computational approach to passport option pricing PDEs: S. Bansal, S. Natesan
    S Bansal, S Natesan
    Decisions in Economics and Finance 48 (2), 1931-1956 , 2025
    2025
  • Robust computing technique for reaction diffusion 2D parabolic problems with shift
    V Subburayan, S Natesan
    Mathematical Modelling and Analysis 30 (4), 664-684 , 2025
    2025
  • Application of physics informed neural networks to partial integro-differential equations in financial modeling and decision making
    S Bansal, P Boro, N Srinivasan
    Applied Soft Computing, 114208 , 2025
    2025
    Citations: 3
  • A discontinuity-capturing SUPG finite element framework for simulating haptotaxis-driven cancer invasion
    S Cengizci, HF Öztop, N Srinivasan
    Mathematics and Computers in Simulation , 2025
    2025
    Citations: 2

MOST CITED SCHOLAR PUBLICATIONS

  • Arbitrary Lagrangian–Eulerian method for Navier–Stokes equations with moving boundaries
    F Duarte, R Gormaz, S Natesan
    Computer methods in applied mechanics and engineering 193 (45-47), 4819-4836 , 2004
    2004
    Citations: 243
  • A parallel boundary value technique for singularly perturbed two-point boundary value problems
    J Vigo-Aguiar, S Natesan
    The journal of Supercomputing 27 (2), 195-206 , 2004
    2004
    Citations: 128
  • Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection–diffusion problems on Shishkin mesh
    A Das, S Natesan
    Applied Mathematics and Computation 271, 168-186 , 2015
    2015
    Citations: 106
  • Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction–diffusion boundary-value problems
    P Das, S Natesan
    Applied mathematics and computation 249, 265-277 , 2014
    2014
    Citations: 105
  • ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
    S Gowrisankar, S Natesan
    International Journal of Computer Mathematics 94 (5), 902-921 , 2017
    2017
    Citations: 91
  • An efficient numerical method for singular perturbation problems
    J Vigo-Aguiar, S Natesan
    Journal of Computational and Applied Mathematics 192 (1), 132-141 , 2006
    2006
    Citations: 89
  • A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
    P Das, S Natesan
    Journal of Applied Mathematics and Computing 41 (1), 447-471 , 2013
    2013
    Citations: 88
  • Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers
    S Natesan, J Jayakumar, J Vigo-Aguiar
    Journal of Computational and Applied Mathematics 158 (1), 121-134 , 2003
    2003
    Citations: 81
  • Higher-order parameter uniform convergent schemes for Robin type reaction-diffusion problems using adaptively generated grid
    P Das, S Natesan
    International Journal of Computational Methods 9 (04), 1250052 , 2012
    2012
    Citations: 76
  • A numerical algorithm for singular perturbation problems exhibiting weak boundary layers
    S Natesan, J Vigo-Aguiar, N Ramanujam
    Computers & mathematics with applications 45 (1-3), 469-479 , 2003
    2003
    Citations: 65
  • Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations
    P Das, S Natesan
    International Journal of Computer Mathematics 92 (3), 562-578 , 2015
    2015
    Citations: 62
  • A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
    S Natesan, N Ramanujam
    Applied Mathematics and computation 93 (2-3), 259-275 , 1998
    1998
    Citations: 60
  • Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh
    P Das, S Natesan
    Computer Modeling in Engineering & Sciences 90 (6), 463 , 2013
    2013
    Citations: 57
  • Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems
    K Mukherjee, S Natesan
    Computing 92 (1), 1-32 , 2011
    2011
    Citations: 55
  • Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems
    K Mukherjee, S Natesan
    Computing 84 (3), 209-230 , 2009
    2009
    Citations: 53
  • Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
    V Shanthi, N Ramanujam, S Natesan
    Journal of Applied Mathematics and Computing 22 (1), 49-65 , 2006
    2006
    Citations: 53
  • Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm
    H Ramos, J Vigo-Aguiar, S Natesan, R Garcia-Rubio, MA Queiruga
    Journal of mathematical chemistry 48 (1), 38-54 , 2010
    2010
    Citations: 52
  • Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations
    A Das, S Natesan
    International Journal of Computer Mathematics 95 (3), 490-510 , 2018
    2018
    Citations: 50
  • A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids
    S Gowrisankar, S Natesan
    Electron. Trans. Numer. Anal 41, 376-395 , 2014
    2014
    Citations: 50
  • ε -Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers
    K Mukherjee, S Natesan
    Numerical Algorithms 58 (1), 103-141 , 2011
    2011
    Citations: 46