Sachin Kumar, S. Natesan, Analysis of an Accurate Weak Galerkin Finite
Element Method Arising in Zero-Coupon Bond Pricing,
Computational Economics, (In Press).
Aayushman Raina, S. Natesan,
A Physics Informed Neural Network Framework for Tumor-Immune Interactions, Metastatic Invasion, and Haptotaxis Systems,
Mathematical Methods in the Applied Sciences, (In Press).
Saurabh Bansal, Pradanya Boro, S.
Natesan, Application of Physics Informed Neural Networks to Partial Integro-Differential Equations in
Financial Modeling and Decision Making, Applied Soft Computing, (In Press).
Sachin Kumar, S. Natesan, Reliable Numerical
Pricing of Multi-Asset European Options Using a Weak Galerkin FEM for Generalized Black-Scholes Models,
Numerical Methods for Partial Differential Equations, (In Press).
Aniruddha Seal, S. Natesan, An effective
dimension-reducing technique for two-dimensional nonlinear space-fractional diffusion equation,
Communications on Applied Mathematics and Computation, (In Press).
Sandip Maji, S. Natesan, Error estimate of the
operator splitting L2-NIPG method for two-dimensional time-fractional diffusion equations,
Numerical Algorithms, (In Press).
Rethyam Gupta, Sarthak Kapoor, Himank Gupta,
Srinivasan Natesan, A forest of opinions: A multi-model ensemble-HMM voting framework
for market regime shift detection and trading, Data Science in Finance and Economics,
(In Press).
Aayushman Raina, S. Natesan, A weak Galerkin
Finite Element Method for Singularly Perturbed 2D Elliptic Boundary-Value Problems of Reaction-Diffusion
Type with Exponentially Graded Mesh, International Journal of Computer Mathematics,
(In Press).
Saurabh Bansal, S. Natesan, A Stabilized
Finite Element Method for Solving Black-Scholes PDEs with Applications to Lookback Options,
Indian Journal of Pure and Applied Mathematics, (In Press).
Saurabh Bansal, S. Natesan, An Efficient and
Robust Computational Approach to Passport Option Pricing PDEs,
Decisions in Economics and Finance, (In Press).
Aayushman Raina, S. Natesan, Suayip
Toprakseven, An Efficient Operator Splitting Weak Galerkin Method for Singularly Perturbed 2D Parabolic PDEs,
Numerical Algorithms, (In Press).
Ramesh Ojha, S. Natesan, A Fourth-Order
Collocation Scheme for Generalized Black-Scholes Model in Financial Decision-Making,
Numerical Algorithms, (In Press).
V. Subburayan, S. Natesan, An Efficient
Numerical Method for Space Shift Singularly Perturbed 2D Convection-Diffusion-Reaction Parabolic PDEs,
TWMS Journal of Pure and Applied Mathematics, (In Press).
Jaspreet Kaur, S. Natesan, Numerical Solution
of Time-Fractional Black-Scholes PDE by Non-symmetric Interior Penalty Galerkin Method,
Computational Economics, (In Press).
V. Subburayan, S. Natesan, Solution of
Singularly Perturbed System of 2D Parabolic Convection Diffusion Differential-Difference Equations Using
Alternating Direction Method,
Indian Journal of Pure and Applied Mathematics, (In Press).
Aniruddha Seal, S. Natesan, An accurate
finite-difference scheme for the numerical solution of a fractional differential equation,
Computational Methods for Differential Equations, (In Press).
Aayushman Raina, Satyadev Badireddi, S.
Natesan, Application of PINN to Obtain Solution of Boundary Layer Problems Arising in Fluid Dynamics,
Mathematical Foundations of Computing, 10, 89 - 108, 2026.
Suleyman Cengizci, Hakan F. Oztop, S. Natesan,
A discontinuity-capturing SUPG finite element framework for simulating haptotaxis-driven cancer invasion,
Mathematics and Computers in Simulation, 241, 271 - 292, 2026.
Jaspreet Kaur, S. Natesan, A Discontinuous Galerkin Time-Stepping Based NIPG
Framework for Black-Scholes Option Pricing and Validation with Real Market Data,
Advances in Computational Science and Engineering, 6, 45 - 56, 2025.
V. Subburayan, S. Natesan, Robust Computing
Technique for Reaction Diffusion 2D Parabolic Problems with Shift,
Mathematical Modelling and Analysis, 30(4), 664 - 684, 2025.
Satyadev Badireddi, Saurabh Bansal, S.
Natesan, Numerical Solution of Passport Option Pricing Problem with Polynomial Neural Network,
Computational Economics, 66, 4695 - 4726, 2025.
Aayushman Raina, Pradanya Boro, S. Natesan, A
Parameter-Driven Physics-Informed Neural Network Framework for Solving Two-Parameter Singular
Perturbation Problems Involving Boundary Layers, Advances in Computational Science and
Engineering, 5, 72 - 102, 2025.
Aniruddha Seal, S. Natesan, Suayip
Toprakseven, A dimensionally reduced weak Galerkin FEM for solving 2D multi-term time-fractional diffusion
equation,
Numerical Methods for Partial Differential Equations, 41:e70024, 2025.
Jaspreet Kaur, S. Natesan, Pricing of options
over time-fractional Black-Scholes jump-diffusion model with the methodology of NIPG,
Journal of Applied Mathematics and Computing, 71 (Suppl 1), S363 - S383, 2025.
Saurabh Bansal, Pradanya Boro, S. Natesan,
Physics-Informed Neural Network for Option Pricing Weather Derivatives Model,
Computers and Mathematics with Applications, 200, 1 - 21, 2025.
Saurabh Bansal, S. Natesan, An accurate and
stable numerical method for pricing Asian options,
Methodology and Computing in Applied Probability, 27 (2), 50, 2025.
Sachin Kumar, S. Natesan, An Efficient Weak
Galerkin Finite Element Method for Generalized Black--Scholes PDEs Modelling Option Pricing,
International Journal of Computer Mathematics, 102 (5), 761 - 778, 2025.
Saurabh Bansal, S. Natesan, A novel
higher-order efficient computational method for pricing European and Asian options,
Numerical Algorithms, 99, 1127 - 1159, 2025.
Saurabh Bansal, S. Natesan, An efficient
robust computational method for solving Black-Scholes PDEs,
Mathematical Communications, 30, 191 - 205, 2025.
Aayushman Raina, S. Natesan, Suayip
Toprakseven, A Novel ADI-Weak Galerkin Method for Singularly Perturbed Two-Parameter 2D Parabolic PDEs,
Numerical Methods for Partial Differential Equations, 41(1), e23169, 2025.
Sachin Kumar, S. Natesan, A Novel Numerical
Scheme for Black-Scholes PDEs Modelling Pricing Securities,
Computers and Mathematics with Applications, 190, 57 - 71, 2025.
Aayushman Raina, S. Natesan, A Weak Galerkin
Finite Element method for Fourth order Parabolic Singularly Perturbed Problems on layer adapted Shishkin mesh,
Applied Numerical Mathematics, 207, 520 - 533, 2025.
Aayushman Raina, S. Natesan, Suayip
Toprakseven, Anisotropic Error Analysis of Weak Galerkin finite element method for Singularly Perturbed
Biharmonic Problems,
Mathematics and Computers in Simulation, 229, 203 - 221, 2025.
Mrityunjoy Barman, S. Natesan, Ali Sendur, A
parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems,
Applied Numerical Mathematics, 207, 111 - 135, 2025.
Aniruddha Seal, S. Natesan, A numerical
approach for nonlinear time-fractional diffusion equation with generalized memory kernel,
Numerical Algorithms, 97(2), pp. 539-565, 2024.
Saurabh Bansal, S. Natesan, An Efficient
Fourth-Order Numerical Scheme for Nonlinear Multi-Asset Option Pricing Problems,
Mediterranean Journal of Mathematics, 21(7), 194, 2024.
Sandip Maji, S. Natesan, Error analysis for
discontinuous Galerkin method for time-fractional Burgers' equation,
Mathematical Methods in the Applied Sciences, 47 (12), 9703 - 9717, 2024.
S. Toprakseven, S. Natesan, An efficient Weak
Galerkin FEM for Third-Order Singularly Perturbed Convection-Diffusion Differential Equations on Layer-Adapted
Meshes,
Applied Numerical Mathematics, 204, 130-146, 2024.
Aniruddha Seal, S. Natesan, An Efficient
Computational Technique for Semilinear Time--Fractional Diffusion Equation,
Calcolo, 61(3), 47, 2024.
Suleyman Cengizci, Omur Ugur, S. Natesan,
SUPG-based stabilized finite element computations of convection-dominated 3D elliptic PDEs using
shock-capturing,
Journal of Computational and Applied Mathematics, 451, Article No. 116022, 2024.
Sandip Maji, S. Natesan, Superconvergence
analysis of interior penalty discontinuous Galerkin method for a class of time-fractional diffusion problems,
Computational and Applied Mathematics, 43 (3), 133, 2024.
N. Balasubramani, M. Guru Prem Prasad, S.
Natesan, Fractal quintic spline solutions for singularly perturbed
reaction-diffusion boundary-value problems, Applied Numerical Mathematics , 202, 89 -
99, 2024.
Sandip Maji, S. Natesan, Adaptive-grid
technique for the numerical solution of a class of fractional boundary-value-problems,
Computational Methods for Differential Equations, 12(2), 338 - 349, 2024.
Suleyman Cengizci, Omur Ugur, S. Natesan, A
stabilized finite element formulation with shock-capturing for solving advection-dominated
convection-diffusion equations
having time-fractional derivatives, Journal of Computational Science, 76, Article
No. 102214, 2024.
Aniruddha Seal, S. Natesan, Suayip
Toprakseven, A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion
Equation,
Journal of Scientific Computing, 98, 56, 2024.
Sandip Maji, S. Natesan, An Efficient
Numerical Method for Fractional Advection - Diffusion - Reaction Problem with RLC Fractional Derivative,
Mediterranean Journal of Mathematics, 20(6), 297, 2023.
Jaspreet Kaur, S. Natesan, A novel numerical
scheme for time-fractional Black-Scholes PDE governing European options in mathematical finance,
Numerical Algorithms, 94(4), 1519-1549, 2023.
Saurabh Bansal, S. Natesan, Richardson
Extrapolation Technique for Generalized Black-Scholes PDEs for European Options,
Computational and Applied Mathematics, 42 (5), 238, 2023.
Sandip Maji, S. Natesan, Nonsymmetric interior
penalty Galerkin method for nonlinear time-fractional integro-partial differential equations,
Mathematics and Computers in Simulation, 213, 1 - 17, 2023.
Arun Kumar, Tanya Chauhan, S. Natesan, Nhat
Truong Pham, Ngoc Duy Nguyen, Chee Peng Lim, Towards an efficient machine learning model for
financial time seriesforecasting,
Soft Computing, 27(16), pp. 11329 - 11339, 2023.
Suleyman Cengizci, S. Natesan, Hybridized
successive complementary expansions for solving convection-dominated 2D elliptic PDEs with boundary layers,
Computational and Applied Mathematics, 42 (6), 273, 2023.
Gautam Singh, S. Natesan, Ali Sendur,
Superconvergence error analysis of discontinuous Galerkin method with interior penalties
for 2D elliptic convection - diffusion - reaction problems, International Journal of
Computer Mathematics, 100(5), 948-967, 2023.
Suleyman Cengizci, Omur Ugur, S. Natesan, A
SUPG formulation augmented with shock-capturing for solving convection-dominated reaction-convection-diffusion
equations,
Computational and Applied Mathematics, 42 (5), 235, 2023.
Sandip Maji, S. Natesan, Analytical and
numerical solution techniques for a class of time-fractional integro-partial differential equations,
Numerical Algorithms, 94 (1), 229 - 256, 2023.
V. Subburayan, S. Natesan, Robust Numerical
Method for Space Shift 2D Singularly Perturbed Parabolic Convection Diffusion Differential Equations,
Computational and Applied Mathematics, 42(4), Article No. 153, 2023.
Dev Priya Goel, Kushagra Mahajan, Ngoc Duy
Nguyen, S. Natesan, Chee Peng Lim, Towards an Efficient Backbone for Preserving
Features in Speech Emotion Recognition: Deep-Shallow Convolution with Recurrent Neural Network, Neural Computing and Applications, 35(3), 2457 - 2469, 2023.
Aniruddha Seal, S. Natesan, Convergence
analysis of a second-order scheme for
fractional differential equation with integral boundary conditions, Journal of Applied
Mathematics and Computing, 69(1), 465 - 489, 2023.
Suleyman Cengizci, Omur Ugur, S. Natesan,
SUPG-YZβ computation of chemically reactive convection-dominated nonlinear models,
International Journal of Computer Mathematics, 100(2), 283 - 303, 2023.
Sandip Maji, S. Natesan, Analytical and
numerical solutions of time-fractional advection-diffusion-reaction equation,
Applied Numerical Mathematics, 185, 549-570, 2023.
Mrityunjoy Barman, S. Natesan, Ali Sendur,
Alternating Direction Implicit Method for Singularly Perturbed 2D Parabolic
Convection-Diffusion-Reaction Problem with Two Small Parameters, International Journal of
Computer Mathematics, 100(2), 253 - 282, 2023.
V. Subburayan, S. Natesan, Parameter Uniform
Numerical Method for Singularly Perturbed 2D Parabolic
PDE with Shift in Space, Mathematics, 3310, 10(18), 2022.
Maneesh Kumar Singh, S. Natesan, Numerical
analysis of singularly perturbed system of parabolic
convection-diffusion problem with regular boundary layers, Differential Equations and
Dynamical Systems, 30(3), 695-717, 2022.
Gautam Singh, S. Natesan, Superconvergence
error estimates of discontinuous Galerkin time stepping for singularly perturbed
parabolic problems, Numerical Algorithms, 90(3), 1073-1090, 2022.
Avijit, Das, S. Natesan, Numerical Analysis of
a Fully-Discrete Stabilized FEM for System of Singularly Perturbed Parabolic IBVPs,
International Journal of Computer Mathematics, 99(8), 1595-1616, 2022.
A. Majumdar, S. Natesan, Parameter-uniform
numerical method for singularly perturbed 2-D parabolic convection-diffusion
problem with interior layers, Mathematical Methods in the Applied Sciences, , 45(5),
3039-3057, 2022.
Jaisal Singh, Srinivasan Natesan, Marcin
Paprzycki, Maria Ganzha,
Experimenting with Assamese Handwritten Character Recognition, In: Big-Data-Analytics in
Astronomy, Science, and Engineering. BDA 2021.
Lecture Notes in Computer Science. Springer, Vol 13167, 851-859, 2022.
Avijit, Das, S. Natesan, Convergence Analysis
of a Fully-discrete FEM for Singularly Perturbed Two-Parameter Parabolic PDE,
Mathematics and Computers in Simulation, 197,185-206, 2022.
Mihir Yadav, Divyansh Mangal, Srinivasan
Natesan, Marcin Paprzycki, Maria Ganzha,
Assamese Character Recognition Using Convolutional Neural Networks, In: Proceedings of
2nd International Conference
on Artificial Intelligence: Advances and Applications. Algorithms for Intelligent Systems. Springer,
Singapore, 851-859, 2022.
Avijit, Das, S. Natesan, Stability and Error
Analysis of a Fully-Discrete Numerical Method for System of 2D Singularly Perturbed Parabolic PDEs,
Computers and Mathematics with Applications, 110, 135-145, 2022.
Avijit, Das, S. Natesan, An Efficient DWR-Type
a Posteriori Error Bound of SDFEM for Singularly Perturbed Convection-Diffusion PDEs,
Journal of Scientific Computing, 90(2): 73, 2022.
Avijit, Das, S. Natesan, A Novel Two-step
Streamline-diffusion FEM for Singularly Perturbed 2D Parabolic PDEs,
Applied Numerical Mathematics , 172, 259-278, 2022.
S. Natesan, Maneesh Kumar Singh,
Robust computational method for singularly perturbed system of parabolic convection-diffusion problems with
interior layers,
Computational and Mathematical Methods , 3(6), e1146, 2021.
Ali Sendur, S. Natesan, Gautam Singh, Error
estimates for a fully discrete ε-uniform finite element method
on quasi uniform meshes, Hacettepe Journal of Mathematics and Statistics, 50(2),
1306-1324, 2021.
Maneesh Kumar Singh, Gautam Singh, S. Natesan,
A unified study on superconvergence analysis of
Galerkin FEM for singularly perturbed systems of multiscale nature, Journal of Applied
Mathematics
and Computing, 66(1-2), 221-246, 2021.
N. Balasubramani, M. Guru Prem Prasad, S.
Natesan, Fractal quintic spline method for non-linear
boundary-value problems, Hacettepe Journal of Mathematics and Statistics, 49 (6),
1885 - 1903, 2020.
Avijit, Das, S. Natesan, SDFEM for Singularly
Perturbed Boundary-Value Problems with Two Parameters,
Journal of Applied Mathematics and Computing, 64 (1-2), 591 - 614, 2020.
Maneesh Kumar Singh, S. Natesan,
Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales, Computers & Mathematics with Applications
, 80(4), 36-53, 2020.
Avijit, Das, S. Natesan, SDFEM for Singularly
Perturbed Parabolic Initial-Boundary-Value Problems
on Equidistributed Grids, Calcolo, 57 (3), 23, 2020.
N. Balasubramani, M. Guru Prem Prasad, S.
Natesan, Shape preserving α-fractal rational
cubic splines, Calcolo, 57 (3), 21, 2020.
Gautam Singh, S. Natesan, A uniformly
convergent numerical scheme for a coupled system of singularly
perturbed reaction-diffusion equations, Numerical Functional Analysis and
Optimization, 41(10), 1172-1189, 2020.
Gautam Singh, S. Natesan, Study of the NIPG
Method for Two-Parameter Singular Perturbation Problems on Several Layer Adapted Grids,
Journal of Applied Mathematics and Computing, 63(1-2), 683 - 705, 2020.
N. Balasubramani, M. Guru Prem Prasad, S.
Natesan, Fractal cubic spline
methods for singular boundary-value problems, International Journal of Applied and
Computational
Mathematics, 6(2), 47, 2020.
Maneesh Kumar Singh, S. Natesan,
A parameter-uniform hybrid finite difference scheme for singularly perturbed
system of parabolic convection-diffusion problems, International
Journal of Computer Mathematics, 97(4), 875-905, 2020.
A. Majumdar, S. Natesan, A Higher-Order Hybrid
Numerical Scheme for
Singularly Perturbed Convection-Diffusion Problem with Boundary and Weak
Interior Layers, International Journal of Mathematical Modelling and Numerical
Optimisation,
10(1), 68 - 101, 2020.
N. Balasubramani, M. Guru Prem Prasad, S.
Natesan, Fractal quintic spline
solutions for fourth-order boundary-value problems, International Journal of Applied and
Computational
Mathematics, 5(5), 130, 2019.
K. Mukherjee, S. Natesan,
Parameter-Uniform Fractional Step Hybrid Numerical Scheme for 2D Singularly
Perturbed Parabolic Convection-Diffusion Problems, Journal of Applied Mathematics
and Computing, 60 (1-2), 51 - 86, 2019.
A. Majumdar, S. Natesan, An Uniform Hybrid
Numerical Scheme
for a Singularly Perturbed Degenerate Parabolic Convection-Diffusion
Problem, International Journal of Computer Mathematics, 96(7), 1313-1334, 2019.
Maneesh Kumar Singh, S. Natesan, A Robust
Computational Method for
Singularly Perturbed System of 2D Parabolic Convection-Diffusion Problems,
International Journal of Mathematical Modelling and Numerical Optimisation,
9(2), 127 - 157, 2019.
A. Das, S. Natesan, Parameter-uniform
numerical method for singularly
perturbed 2D delay parabolic convection-diffusion problems on Shishkin mesh, Journal of
Applied Mathematics
and Computing, 59 (1-2), 207 - 225, 2019.
Suleyman Cengizci, S. Natesan, Mehmet Tarik
Atay, An asymptotic-numerical
hybrid method for singularly perturbed system of two-point
reaction-diffusion boundary-value problems, Turkish
Journal of Mathematics, 43 (1), 460-472, 2019.
S. Gowrisankar, S. Natesan, An Efficient
Robust Numerical Method for
Singularly Perturbed Burgers' Equation, Applied Mathematics and Computation,
346(1), 385 - 394, 2019.
Gautam Singh, S. Natesan, Superconvergence of
Discontinuous Galerkin Method
with Interior Penalties for Singularly Perturbed Two-Point Boundary-Value
Problems, CALCOLO, 55(54), 1-30, 2018.
Gautam Singh, S. Natesan, A uniformly
convergent NIPG method for a singularly perturbed system of
reaction-diffusion boundary-value problems, Springer Proc. Math. Stat.,, 253,
429-440, 2018.
N. Balasubramani, M. Guru Prem Prasad, S.
Natesan, Constrained and convex
interpolation through rational cubic fractal interpolation surface, Computational and
Applied
Mathematics, 37 (5), 6308 - 6331, 2018.
A. Das, S. Natesan, Uniformly convergent
numerical method for singularly
perturbed 2D delay parabolic convection-diffusion problems on
Bakhvalov-Shishkin mesh, International Journal of Mathematical Modelling and Numerical
Optimisation,
8 (4), 305 - 330, 2018.
Maneesh Kumar Singh, S. Natesan, A finite
element superconvergence approximations for
singularly perturbed system of convection-diffusion problems, AIP Conference
Proceedings, 1975, 030016, 2018.
N. Balasubramani, M. Guru Prem Prasad, S.
Natesan, Rational Cubic Fractal
Spline for Visualization of Shaped Data, Neural, Parallel and Scientific
Computations,
26 (2), 183 - 210, 2018.
Maneesh Kumar Singh, S. Natesan, Richardson
Extrapolation Technique for
Singularly Perturbed System of Parabolic Partial Differential Equations with
Exponential Boundary Layers, Applied Mathematics and Computation, 333, 254 - 275,
2018.
A. Das, S. Natesan, Fractional step method for
singularly perturbed 2D delay
parabolic convection diffusion problems on Shishkin mesh, International Journal of
Applied and Computational
Mathematics, 4(2), (Article 65), 2018.
A. Das, S. Natesan, Higher-order convergence
with fractional-step method for
singularly perturbed 2D parabolic convection-diffusion problems on Shishkin
mesh, Computers & Mathematics with Applications, 75 (7),
2387 - 2403, 2018.
A. Das, S. Natesan, Second-order uniformly
convergent numerical method for
singularly perturbed delay parabolic partial differential equations, International
Journal of Computer Mathematics, 95 (3), 490 - 510, 2018.
A. Majumdar, S. Natesan, Second-Order
Uniformly Convergent Richardson
Extrapolation Method for Singularly Perturbed DEgenerate Parabolic PDEs,
International Journal of Applied and Computational
Mathematics, 3 (1), 31 - 53, 2017.
A. Majumdar, S. Natesan, Alternating Direction
Numerical Scheme for
Singularly Perturbed 2D Degenerate Parabolic Convection-Diffusion Problems, Applied
Mathematics and Computation, 313, 453 - 473, 2017.
S. Gowrisankar, S. Natesan, Uniformly
Convergent Numerical Scheme for Singularly Perturbed Delay Parabolic Partial
Differential Equations, International Journal of Computer Mathematics, 94 (5),
902-921, 2017.
A. Das, S. Natesan, Uniformly Convergent
Hybrid Numerical Scheme for
Singularly Perturbed Delay Parabolic Convection-Diffusion Problems on
Shishkin Mesh,
Applied Mathematics and Computation, 271, 168 - 186, 2015.
P. Das, S. Natesan, Adaptive Mesh Generation
for Singularly
Perturbed Fourth-Order Ordinary Differential Equations,
International Journal of Computer Mathematics, 92(3), 562 - 578,
2015.(MR 3298069)
P. Das, S. Natesan, Optimal Error Estimate
using Mesh
Equidistribution Technique for Singularly Perturbed System of
Reaction-Diffusion Boundary-Value Problems,
Applied Mathematics and Computation, 249, 265 - 277, 2014. (MR
3279420)
S. Gowrisankar, S. Natesan, A Robust Numerical
Scheme for Singularly
Perturbed Delay Parabolic Initial-Boundary-Value Problems on Equidistributed Grids,
Electronic Transactions on Numerical Analysis,
41, 376 - 395, 2014. (MR 3284414)
K. Mukherjee, S. Natesan, Uniform Convergence
Analysis of Hybrid
Numerical Scheme for Singularly Perturbed Problems of Mixed Type ,
Numerical Methods for Partial Differential
Equations, 30(6), 1931 - 1960,
2014. (MR 3267359)
S. Gowrisankar, S. Natesan, Uniformly
Convergent Numerical Method
for Singularly Perturbed Parabolic Initial-Boundary-Value Problems with Equidistributed Grids,
International Journal of Computer Mathematics, 91(3),
553-577, 2014. (MR 3217588)
S. Gowrisankar, S. Natesan, Robust Numerical
Scheme for Singularly
Perturbed Convection-Diffusion Parabolic Initial-Boundary-Value Problems
on Equidistributed Grids,
Computer Physics Communications, 185, 2008 - 2019, 2014. (MR
3209560)
P. Das, S. Natesan, Numerical Solution of a
System of Singularly
Perturbed Convection-Diffusion Boundary-Value Problems Using Mesh
Equidistribution Technique, Australian
Journal of Mathematical Analysis and Applications, 10 (1),
Art. 14, 17 pp, 2013.
(MR 3128837)
K. Mukherjee, S. Natesan, An Efficient Hybrid
Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic type,
Lecture Notes in Computer Science, 8236,
411-419, 2013. (MR 3150013)
S. Gowrisankar, S. Natesan, Parameter Uniform
Numerical Method
for Singularly Perturbed Parabolic Reaction-Diffusion Problems on Equidistributed Grids,
Applied Mathematics Letters, 26 (11), 1053-1060, 2013.
(MR 3089564)
P. Das, S. Natesan, Richardson Extrapolation
Method for Singularly
Perturbed Convection-Diffusion Problems on Adaptively Generated Mesh, CMES: Computer
Modeling in Engineering
Sciences, 90(6), 463-485, 2013. (MR 3099246)
P. Das, S. Natesan, A Uniformly Convergent
Hybrid Scheme for
Singularly Perturbed System of Reaction-Diffusion Robin-Type
Boundary-Value Problems, Journal of Applied Mathematics
and Computing, 41(1-2), 447-471, 2013. (MR 3017131)
S. Natesan, S. Gowrisankar, Robust Numerical
Scheme for Singularly
Perturbed Parabolic Initial-Boundary-Value Problems on Equidistributed
Mesh, CMES: Computer Modeling in Engineering
Sciences, 88 (4), 245-268, 2012. (MR 3059044)
P. Das, S. Natesan, Higher-Order
Uniform-Convergent Schemes for
Robin-Type Reaction-Diffusion Problems Using Adaptively Generated Grid,
International Journal of Computational Methods, 9(4), 2012. (MR
3016139)
J. Mohapatra, S. Natesan, Uniformly Convergent
Numerical Method for
Singularly Perturbed Differential--Difference Equation Using Grid Equidistribution, International Journal for
Numerical Methods in Biomedical Engineering, 27(9), 1427-1445,
2011. (MR 2837206)
J. Mohapatra, S. Natesan, Parameter-Uniform
Numerical Methods for
Singularly Perturbed Mixed Boundary-Value Problems Using Grid Equidistribution, Journal
of Applied Mathematics
and Computing, 37(1), 247- 265, 2011. (MR
2831536)
K. Mukherjee, S. Natesan, -Uniform
Error Estimate of Hybrid Numerical Scheme for Singularly Perturbed
Parabolic Problems with Interior Layers, Numerical
Algorithms, 58(1), 103-141, 2011. (MR
2831159)
K. Mukherjee, S. Natesan, Optimal Error
Estimate of Upwind Scheme on
Shishkin-Type Meshes for Singularly Perturbed Parabolic Problems with
Discontinuous Convection Coefficients, BIT
Numerical Mathematics, 51(2), 289-315, 2011. (MR
2806532)
K. Mukherjee, S. Natesan, Richardson
Extrapolation Technique for
Singularly Perturbed Parabolic Convection-Diffusion Problems, Computing,
92, 1-32, 2011. (MR 2794924)
J. Mohapatra, S. Natesan, The Parameter-Robust
Numerical Method
Based on Defect Correction Technique for Singularly Perturbed Delay
Differential Equations with Layer Behavior,
International Journal of Computational Methods, 7 (4), 573-594,
2010. (MR 2756267)
J. Mohapatra, S. Natesan, Parameter-uniform
numerical method for
global solution and global normalized flux of singularly perturbed
boundary-value problems using grid equidistribution,
Computers Mathematics with Applications,
60, 1924-1939, 2010. (MR 2719712)
H. Ramos, J. Vigo-Aguiar, S. Natesan, R.
Garcia-Rubio, M.A. Queiruga,
Numerical Solution of Nonlinear Singularly Perturbed Problems on
Nonuniform meshes by using a Non-Standard Algorithm,
Journal of Mathematical Chemistry, 48(1),
38-54, 2010. (MR 2657913)
J. Mohapatra, S. Natesan, Uniform Convergence
Analysis of Finite
Difference Scheme for Singularly Perturbed Delay Differential Equation
on an Adaptively Generated Grid, Numerical
Mathematics: Theory, Methods and Applications, 3 (1), 1-22, 2010.
(MR 2681554)
C. Clavero, R.K. Bawa, S. Natesan, A Robust
Second-Order Numerical
Method for Global Solution and Global Normalized Flux of Singularly
Perturbed Self-Adjoint Boundary-Value Problems,
International Journal of Computer Mathematics, 86 (10-11),
1731-1745, 2009.(MR 2573169)
R. Deb, S. Natesan, Higher-Order Time Accurate
Numerical Methods for
Singularly Perturbed Parabolic Partial Differential Equations,
International Journal of Computer Mathematics,
86(7), 1204-1214, 2009. (MR 2537921)
K. Mukherjee, S. Natesan, Parameter-Uniform
Hybrid Numerical Scheme
for Time-Dependent Convection-Dominated Initial-Boundary-Value Problems,
Computing, 84
(3-4), 209-230, 2009. (MR2506261)
R.K. Bawa, S. Natesan, An Efficient Hybrid
Numerical Scheme for
Convection- Dominated Boundary-Value Problems,
International Journal of Computer Mathematics, 86 (2), 261-273,
2009. (MR2488027)
B.S. Deb, S. Natesan, Richardson Extrapolation
Method for Singularly
Perturbed Coupled System of Convection-Diffusion Boundary-Value
Problems, CMES: Computer Modeling in Engineering
Sciences, 38(2), 179-200, 2008. (MR2502155)
S. Natesan, R. Deb, A Robust Numerical Scheme for Singularly
Perturbed Parabolic Reaction-Diffusion Problems,
Neural, Parallel and Scientific Computations, 16, 419-434, 2008.
(MR2768416)
K. Mukherjee, S. Natesan, An Efficient Numerical Scheme for
Singularly Perturbed Parabolic Problems with Interior Layers,
Neural, Parallel and Scientific Computations,
16, 405-418, 2008.(MR2768415)
J. Mohapatra, S. Natesan, Uniformly Convergent Second-Order Method
for Singularly Perturbed Delay Differential Equations,
Neural, Parallel and Scientific Computations,
16, 353-370, 2008.(MR2768412)
S. Natesan, R.K. Bawa, Second-order Numerical Scheme For Singularly
Perturbed Reaction-Diffusion Robin Problems,
Journal of Numerical Analysis, Industrial and Applied Mathematics,
2(3-4), 177-192, 2007.(MR2376088)
S. Natesan, B.S. Deb, A Robust Computational Method for Singularly
Perturbed Coupled System of Reaction-Diffusion Boundary-Value Problems,
Applied Mathematics and Computation, 188
(1), 353-364, 2007. (MR2327123)
S. Natesan, R.K. Bawa, C. Clavero, Uniformly Convergent Compact
Numerical Scheme for the Normalized Flux of Singularly Perturbed
Reaction-Diffusion Problems, International Journal
of Information and Systems Sciences, 3(2), 207-221,
2007.(MR2297048)
R.K. Bawa,
and S. Natesan, Parallel Implementation of a Spline Based Computational
Approach for Singular Perturbation Problems,
Lecture Notes in
Computer Science, 4297, 254-262, 2006.
V. Shanthi,
N. Ramanujam, S. Natesan, Fitted Mesh Method for Singularly Perturbed
Reaction-Convection-Diffusion Problems with Boundary and Interior
Layers, Journal of Applied Mathematics Computing,
22 (1-2), 49-65, 2006.(MR2248360)
S. Natesan,
R.K. Bawa, C.
Clavero, An
-Uniform Hybrid Scheme for Singularly Perturbed
1-D Reaction-Diffusion Problems, Numerical Mathematics and Advanced
Applications, 1079-1087, Springer, Berlin, 2006.(MR2303740)
J. Vigo-Aguiar, S. Natesan, An Efficient Numerical Method for
Singular Perturbation Problems, Journal of
Computational and Applied Mathematics, 192, 132-141,
2006.(MR2226996)
C. Conca, S. Natesan, M. Vanninathan, Numerical Experiments with
Bloch-Floquet Approach in Homogenization,
International Journal for Numerical Methods in Engineering, 65
(9), 1444-1471, 2006.(MR2199541 2006h:35010)
R.K. Bawa, S. Natesan, A Computational Method for Self-adjoint Singular Perturbation
Problems Using Quintic Spline, Computers & Mathematics with Applications,
50(8-9), 1371-1382, 2005. (MR 2175596)
R.K. Bawa, S. Natesan, Uniformly Convergent Computational Technique
for Singularly Perturbed Self-adjoint Mixed BoundaryValue Problems,
Lecture Notes in Computer Science,
3516, 1104-1107, 2005.
F. Duarte, R. Gormaz. S. Natesan, Arbitrary Lagrangian-Eulerian
method for Navier-Stokes equations with movingboundaries,
Computer Methods in Applied Mechanics and
Engineering, 193 (45-47),4819-4836, 2004. (MR
2097758)
J. Vigo-Aguiar, S. Natesan, A Parallel Boundary Value Technique for
Singularly Perturbed Two-Point BoundaryValue Problems,
The Journal of Supercomputing, 27
(2), 195-206, 2004.
S. Natesan, J. Jayakumar, J. Vigo-Aguiar, Parameter Uniform
Numerical Method for Singularly Perturbed Turning Point Problems
Exhibiting Boundary Layers, Journal of
Computational and Applied Mathematics, 158, 121-134,
2003.MR2013610 (2004j:65096)
C. Conca, S. Natesan, Numerical Methods for Elliptic Partial
Differential Equations with Rapidly Oscillating Coefficients,
Computer Methods in Applied Mechanics and
Engineering, 192(1-2), 47-76, 2003.(MR 1951405)
S. Natesan, J. Vigo-Aguiar, N. Ramanujam, A Numerical Algorithm for
Singular Perturbation Problems Exhibiting Weak Boundary Layers,
Computers Mathematics with Applications,
45, 469-479, 2003.(MR 1991382)
S. Natesan, N. Ramanujam, 'Shooting Method' for the Solution of
Singularly Perturbed Two-Point Boundary-Value Problems Having Less
Severe Boundary Layers, Applied Mathematics and
Computation, 133(2-3), 623-641, 2002. (MR 1924642 2003f:65138)
S. Natesan, N. Ramanujam, An Asymptotic-Numerical Method for
Singularly Perturbed Robin Problems - I, Applied
Mathematics and Computation, 126(1), 97-107, 2002. (MR 1868149
2002j:34090)
S. Natesan, ;Booster Method; for Singularly Perturbed Robin Problems
- II, International Journal of Computer
Mathematics, 78(1), 141-152, 2001. (MR 1893863 2003c:65059)
J. Vigo-Aguiar, L.M. Quintales, S. Natesan, An Efficient Parallel
Algorithm for the Numerical Solution of Schrödinger Equation,
Lecture Notes in Computer Science, 1981,
262-270, 2001. (MR 1907282 2003e:65187)
S. Natesan, N. Ramanujam, ;Booster Method; for Singularly Perturbed
Robin Problems-I, International Journal of
Computer Mathematics, 76(2), 191-202, 2000.(MR 1813315
2001k:65121)
S. Natesan, N. Ramanujam, A ;Booster Method; for Singularly Perturbed
One-Dimensional Reaction-Diffusion Neumann Problems,
Journal of Optimization Theory and Applications, 104(1),
175-194, 2000. (MR 1741396 2001c:65090)
S. Natesan, N. Ramanujam, 'Shooting Method' for Singularly Perturbed
One-Dimensional Reaction-Diffusion Neumann Problems,
International Journal of Computer Mathematics, 72(3),
383-393, 1999. (MR 1734789)
S. Natesan, N. Ramanujam, A ;Booster Method; for Singular
Perturbation Problems Arising in Chemical Reactor Theory by
Incorporation of Asymptotic Approximations,
Applied Mathematics and Computation, 100(1), 27-48, 1999. (MR
1665904 99i:65078)
S. Natesan, N. Ramanujam, Improvement of Numerical Solution of Self-Adjoint
Singular Perturbation Problems by Incorporation of Asymptotic
Approximations, Applied Mathematics and
Computation, 98(2-3), 119-137, 1999. (MR 1659904 2000f:65067)
S. Natesan, N. Ramanujam, Booster Method for Singularly Perturbed
One-Dimensional Convection -Diffusion Neumann Problems,
Journal of Optimization Theory and Applications, 99(1),
53-72, 1998.(MR 1653245 99j:65128)
S. Natesan, N. Ramanujam, Initial-Value Technique for Singularly
Perturbed Turning Point Problems Exhibiting Twin Boundary Layers,
Journal of Optimization Theory and Applications,
99(1), 37-52, 1998. (MR 1653241 99h:34022)
S. Natesan, N. Ramanujam, 'Shooting Method' for Singular Perturbation
Problems Arising in Chemical Reactor Theory,
International Journal of Computer Mathematics, 70(2), 251-262,
1998. (MR 1712497)
S. Natesan, N. Ramanujam, A Computational Method for Solving
Singularly Perturbed Turning Point Problems Exhibiting Twin Boundary
Layers, Applied Mathematics and Computation,
93(2-3), 259-275, 1998. (MR 1629390 99c:65146)
S. Natesan, N. Ramanujam, Initial-Value
Technique for Singularly
Perturbed Boundary-Value Problems for Second Order Ordinary Differential
Equations Arising in Chemical Reactor Theory,
Journal of Optimization Theory and Applications, 97(2),
455-470, 1998. (MR 1625108 99a:34038)
See the following websites for most of my publications:
S. Natesan, Numerical Methods for Differential
Equations, pp. 173-213, Applied Mathematics, Editors: U. Basu, B.N.
Mandal, Narosa Publishing House, New Delhi, 2008.
S. Natesan, Efficient Numerical Methods for
Singularly Perturbed Differential Equations, pp. 329-355, Mathematical Modeling with Multidisciplinary
Applications, Editor: X-S. Yang, John Wiley & Sons, Inc., New Jersey, 2013.
International Conferences
S. Natesan, J. Vigo-Aguiar, A Parallel
Boundary-Value Technique for
Singularly Perturbed Two-Point Boundary-Value Problems, pp. 29-35,
Proceedings of the 2000 International Conference on Parallel and
Distributed Processing Technology and Applications, Las Vegas, USA,
Editor: H. Arabina, CSREA Press, Athens, GA, 2000.
J. Vigo-Aguiar, M.L. Quintales, S. Natesan, An
Efficient Parallel
Algorithm for the Numerical Solution of Schrödinger Equation, pp.
231-239, VECPAR 2000, Proceedings of the IV-International Meeting on
Vector and Parallel Processing, University of Porto, Portugal.
First Latin American
Congress of Mathematicians, Institute of Pure and Applied Mathematics
(IMPA), Rio de Janeiro, Brazil, July 31 - August 4, 2000.
C. Conca, S. Natesan, M. Vanninathan, Numerical
Solution of Elliptic
Partial Differential Equations by Bloch Waves Method, pp. 63-83,
Proceedings of the XVII CEDYA:
Congress on DifferentialEquations and
Applications/VII Congress on Applied Mathematics, University of
Salamanca,Salamanca, Spain, 2001. (MR 1873642 2002k:65215)
C. Conca, S. Natesan, M. Vanninathan, Numerical
Solution of Elliptic
Partial Differential Equations with rapidly oscillating coefficients by
Bloch Wave Method, Proceedings of the II International Conference on
Theoretical, Applied, Computational and Experimental Mechanics, Indian
Institute of Technology, Kharagpur, 2001.
S. Natesan, J. Jayakumar, J. Vigo-Aguiar,
Uniformly Convergent
Numerical Method for Singularly Perturbed Turning Point Problems,
International Conference on Computational and Mathematical Methodsin
Science and Engineering (CMMSE 2002), Alicante, Spain, 2002.
S. Natesan, J.L. Gracia, C. Clavero, Singularly
Perturbed
Boundary-Value Problems with Two Small Parameters - A Defect Correction
Approach,
pp. 1-6, Proceedings of the International Conference on Boundary and
Interior Layers - Computational Asymptotic Methods (BAIL
2004), ONERA - Centre de Toulouse, France.
S.Natesan, R.K. Bawa, A Parallel Computational
Methods for Self-Adjoint
Singular Perturbation Problems, pp. 220-226, Proceedings of Asia Pacific
Conference ObComAPC-2004, Parallel and Distributed Computing
Technologies, Vellore Institute of Technology, Vellore, 2004.
S. Natesan, Numerical Solution of Multi-Scale
Elliptic Problemsby
Bloch-Floquet Approach,
International
Conference on Number Theory and Fourier Techniques (ICNFT'04), Srinivasa
Ramanujan Centre, Sastra Deemed University, Kumbakonam, December 21-22,
2004.
R.K. Bawa, S. Natesan, Quintic Spline Based
Computational Scheme for
Singularly Perturbed Convection-Diffusion Problems, pp. 24-28, IEEE
Proceedings of the 19thInternational Symposium on High Performance
Computing Systems and Applications (HPSC'05), University of Guelph,
Ontario, Canada, 2005.
S. Natesan, R.K. Bawa, C. Clavero, An Uniform
Hybrid Scheme for Singularly Perturbed Reaction-Diffusion Problems, The
Sixth European Conference on Numerical Mathematics and Advanced
Applications (ENUMATH
2005), University of Santiago de Compostela, Spain, 2005.
S. Natesan, R.K. Bawa, Second-Order Numerical
Scheme for
Singularly Perturbed Reaction-Diffusion Robin Problems,
South African Society for Numerical and Applied Mathematics (SANUM
2006), University of Stellenbosch, South Africa, April 3 - 5, 2006.
R.K. Bawa, S. Natesan, Second-Order Uniformly
Convergent Scheme for Singularly Perturbed Convection-Diffusion
Problems, pp. 42-51, Proceedings of the International Conference on Computational and Mathematical Methods in
Science and Engineering, CMMSE 2007, Chicago, 20 - 23 June 2007.
S. Natesan, R. Deb, Efficient Numerical Schemes
for Singularly
Perturbed Parabolic Initial-Boundary-Value Problems, 6th International
Congress on Industrial and Applied Mathematics (ICIAM
2007), Zurich, Switzerland, 16-20 July 2007.
C. Clavero, R.K. Bawa, S. Natesan, An almost
second-order uniform
convergent computational technique for global solution and global
normalized flux of singularlyperturbed reaction-diffusion problems,
Proceedings of the International Conference on Computational and
Mathematical Methods in Science and Engineering, CMMSE 2008, Murcia,
Spain, 13 - 17 June 2008.
S. Natesan, A second-order robust numerical
method for system of
singularly perturbed boundary-value problems, General Linear
Methods Auckland Conference on Numerical Ordinary Differential Equations
(GLADE 2008), University of Auckland, New Zealand, 14 - 18, July 2008.
S. Natesan, Second-order uniformly
convergent hybrid numerical scheme for singularly perturbed problems of
mixed parabolic-elliptic type, International
Conference on Scientific Computation and Differential Equations (Sci-CADE
2011), University of Toronto, Toronto, Canada, 11-15, July 2011.
S. Natesan, S. Gowrisankar,
Robust numerical scheme for singularly perturbed parabolic
initial-boundary-value problems, International
Congress on Industrial and Applied Mathematics, (ICIAM 2011), Vancouver,
Canada, 18-22, July 2011.
S. Natesan, S.
Gowrisankar,Robust computational method for singularly perturbed
parabolic initial-boundary-value problems on adaptive grid,
European
Numerical Mathematics and Advanced Applications (ENUMATH 2011),
University of Leicester,
Leicester, UK, 5-9, September 2011.
S. Natesan, S. Gowrisankar, Uniformly
Convergent Numerical Scheme for Singularly Perturbed Delay Parabolic
Convection-Diffusion Problems on Shishkin Mesh, International Conference:
East Asian Section of SIAM (EASIAM 2014), Pattaya, Thailand, June 23-25,
2014.
S. Natesan, S. Gowrisankar, Robust Numerical
Scheme for Singularly Perturbed
Delay Parabolic PDEs on Equidistributed Grids,
Boundary and Interior Layers - Computational
Asymptotic Methods (BAIL 2014), Charles University in Prague, Czech
Republic, September 15 - 19, 2014.
S. Natesan, A. Majumdar, Efficient Numerical
Scheme for Singularly Perturbed 2D Elliptic BVPs with Discontinuous
Coefficients, International Conference on Applied Mathematics, City
University of Hong Kong, Hong Kong, May 30 - June 2, 2016.
S. Natesan, M.K. Singh,
Robust numerical scheme for singularly
perturbed system of parabolic convection-diffusion PDEs on Shishkin-type
meshes, Boundary and Interior Layers - Computational and Asymptotic Methods (BAIL
2016), Beijing Computational Science Research Center, Beijing, August 15 - 19, 2016.
Maneesh Kumar Singh, S. Natesan, A finite
element superconvergence approximations for
singularly perturbed system of convection-diffusion problems, AIP Conference
Proceedings, 1975, 030016, 2018.
Gautam Singh and S. Natesan, A Uniformly
Convergent NIPG Method for a Singularly Perturbed System of
Reaction-Diffusion Boundary-Value Problems, International Conference on
Mathematics and Computing (ICMC - 2018) Mathematics and Computing, Springer
Proceedings in Mathematics and Statistics, Vol. 253, 429 - 440, 2018.
