Contact

All Stories

  1. A parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems

    Article • Applied Numerical Mathematics, January 2025, Elsevier

    Dr Natesan Srinivasan

  2. A weak Galerkin finite element method for fourth-order parabolic singularly perturbed problems on layer adapted Shishkin mesh

    Article • Applied Numerical Mathematics, January 2025, Elsevier

    Dr Natesan Srinivasan

  3. Solution of singularly perturbed system of 2D parabolic convection diffusion differential-difference equations using alternating direction method

    Article • Indian Journal of Pure and Applied Mathematics, October 2024, Springer Science + Business Media

    Dr Natesan Srinivasan

  4. An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes

    Article • Applied Numerical Mathematics, October 2024, Elsevier

    Dr Natesan Srinivasan

  5. Anisotropic error analysis of Weak Galerkin finite element method for Singularly Perturbed Biharmonic problems

    Article • Mathematics and Computers in Simulation, October 2024, Elsevier

    Dr Natesan Srinivasan

  6. Fractal quintic spline solutions for singularly perturbed reaction-diffusion boundary-value problems

    Article • Applied Numerical Mathematics, August 2024, Elsevier

    Dr Natesan Srinivasan

  7. An efficient computational technique for semilinear time-fractional diffusion equation

    Article • CALCOLO, July 2024, Springer Science + Business Media

    Dr Natesan Srinivasan

  8. Error analysis for discontinuous Galerkin method for time‐fractional Burgers' equation

    Article • Mathematical Methods in the Applied Sciences, May 2024, Wiley

    Dr Natesan Srinivasan

  9. Superconvergence analysis of interior penalty discontinuous Galerkin method for a class of time-fractional diffusion problems

    Article • Computational and Applied Mathematics, March 2024, Springer Science + Business Media

    Dr Natesan Srinivasan

  10. A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation

    Article • Journal of Scientific Computing, February 2024, Springer Science + Business Media

    Dr Natesan Srinivasan

  11. Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations

    Article • Mathematics and Computers in Simulation, November 2023, Elsevier

    Dr Natesan Srinivasan

  12. Richardson extrapolation technique for generalized Black–Scholes PDEs for European options

    Article • Computational and Applied Mathematics, July 2023, Springer Science + Business Media

    Dr Natesan Srinivasan

  13. Towards an efficient machine learning model for financial time series forecasting

    Article • Soft Computing, June 2023, Springer Science + Business Media

    Dr Natesan Srinivasan

  14. Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations

    Article • Computational and Applied Mathematics, April 2023, Springer Science + Business Media

    Dr Natesan Srinivasan

  15. Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems

    Article • International Journal of Computer Mathematics, January 2023, Taylor & Francis

    Dr Natesan Srinivasan

  16. Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation

    Article • Applied Numerical Mathematics, December 2022, Elsevier

    Dr Natesan Srinivasan

  17. Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters

    Article • International Journal of Computer Mathematics, September 2022, Taylor & Francis

    Dr Natesan Srinivasan

  18. Parameter Uniform Numerical Method for Singularly Perturbed 2D Parabolic PDE with Shift in Space

    Article • Mathematics, September 2022, MDPI AG

    Dr Natesan Srinivasan

  19. SUPG-YZβ computation of chemically reactive convection-dominated nonlinear models

    Article • International Journal of Computer Mathematics, September 2022, Taylor & Francis

    Dr Natesan Srinivasan

  20. Towards an efficient backbone for preserving features in speech emotion recognition: deep-shallow convolution with recurrent neural network

    Article • Neural Computing and Applications, August 2022, Springer Science + Business Media

    Dr Natesan Srinivasan

  21. Convergence analysis of a second-order scheme for fractional differential equation with integral boundary conditions

    Article • Journal of Applied Mathematics and Computing, June 2022, Springer Science + Business Media

    Dr Natesan Srinivasan

  22. Stability and error analysis of a fully-discrete numerical method for system of 2D singularly perturbed parabolic PDEs

    Article • Computers & Mathematics with Applications, March 2022, Elsevier

    Dr Natesan Srinivasan

  23. A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs

    Article • Applied Numerical Mathematics, February 2022, Elsevier

    Dr Natesan Srinivasan

  24. Convergence analysis of a fully-discrete FEM for singularly perturbed two-parameter parabolic PDE

    Article • Mathematics and Computers in Simulation, February 2022, Elsevier

    Dr Natesan Srinivasan

  25. An Efficient DWR-Type a Posteriori Error Bound of SDFEM for Singularly Perturbed Convection–Diffusion PDEs

    Article • Journal of Scientific Computing, January 2022, Springer Science + Business Media

    Dr Natesan Srinivasan

  26. Assamese Character Recognition Using Convolutional Neural Networks

    Article • January 2022, Springer Science + Business Media

    Dr Natesan Srinivasan

  27. Experimenting with Assamese Handwritten Character Recognition

    Article • January 2022, Springer Science + Business Media

    Dr Natesan Srinivasan

  28. Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers

    Article • Mathematical Methods in the Applied Sciences, November 2021, Wiley

    Dr Natesan Srinivasan

  29. Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs

    Article • International Journal of Computer Mathematics, November 2021, Taylor & Francis

    Dr Natesan Srinivasan

  30. Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems

    Article • Numerical Algorithms, November 2021, Springer Science + Business Media

    Dr Natesan Srinivasan

  31. Error estimates for a fully discrete $\varepsilon-$uniform finite element method on quasi uniform meshes

    Article • Hacettepe Journal of Mathematics and Statistics, October 2021, Hacettepe Journal of Biology and Chemistry

    Dr Natesan Srinivasan

  32. Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers

    Article • Computational and Mathematical Methods, February 2021, Wiley

    Dr Natesan Srinivasan

  33. Fractal quintic spline method for nonlinear boundary-value problems

    Article • Hacettepe Journal of Mathematics and Statistics, December 2020, Hacettepe Journal of Biology and Chemistry

    Dr Natesan Srinivasan

  34. A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature

    Article • Journal of Applied Mathematics and Computing, September 2020, Springer Science + Business Media

    Dr Natesan Srinivasan

  35. SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids

    Article • CALCOLO, August 2020, Springer Science + Business Media

    Dr Natesan Srinivasan

  36. Shape preserving $$\alpha$$-fractal rational cubic splines

    Article • CALCOLO, August 2020, Springer Science + Business Media

    Dr Natesan Srinivasan

  37. Numerical solution of 2D singularly perturbed reaction–diffusion system with multiple scales

    Article • Computers & Mathematics with Applications, August 2020, Elsevier

    Dr Natesan Srinivasan

  38. SDFEM for singularly perturbed boundary-value problems with two parameters

    Article • Journal of Applied Mathematics and Computing, May 2020, Springer Science + Business Media

    Dr Natesan Srinivasan

  39. A Uniformly Convergent Numerical Scheme for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations

    Article • Numerical Functional Analysis and Optimization, March 2020, Taylor & Francis

    Dr Natesan Srinivasan

  40. An efficient robust numerical method for singularly perturbed Burgers’ equation

    Article • Applied Mathematics and Computation, April 2019, Elsevier

    Dr Natesan Srinivasan

  41. A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

    Article • International Journal of Computer Mathematics, March 2019, Taylor & Francis

    Dr Natesan Srinivasan

  42. Numerical Analysis of Singularly Perturbed System of Parabolic Convection–Diffusion Problem with Regular Boundary Layers

    Article • Differential Equations and Dynamical Systems, March 2019, Springer Science + Business Media

    Dr Natesan Srinivasan

  43. An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems

    Article • TURKISH JOURNAL OF MATHEMATICS, January 2019, The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM)

    Dr Natesan Srinivasan

  44. Corrigendum to “Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers” [Applied Mathematics and Computation 333 (2018) 254–275]

    Article • Applied Mathematics and Computation, December 2018, Elsevier

    Dr Natesan Srinivasan

  45. Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems

    Article • CALCOLO, November 2018, Springer Science + Business Media

    Dr Natesan Srinivasan

  46. Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers

    Article • Applied Mathematics and Computation, September 2018, Elsevier

    Dr Natesan Srinivasan

  47. Constrained and convex interpolation through rational cubic fractal interpolation surface

    Article • Computational and Applied Mathematics, August 2018, Springer Science + Business Media

    Dr Natesan Srinivasan

  48. Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems

    Article • Journal of Applied Mathematics and Computing, July 2018, Springer Science + Business Media

    Dr Natesan Srinivasan

  49. An ϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem

    Article • International Journal of Computer Mathematics, June 2018, Taylor & Francis

    Dr Natesan Srinivasan

  50. Fractional Step Method for Singularly Perturbed 2D Delay Parabolic Convection Diffusion Problems on Shishkin Mesh

    Article • International Journal of Applied and Computational Mathematics, March 2018, Springer Science + Business Media

    Dr Natesan Srinivasan

  51. Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection–diffusion problems on Shishkin mesh

    Article • Journal of Applied Mathematics and Computing, March 2018, Springer Science + Business Media

    Dr Natesan Srinivasan

  52. Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection–diffusion problems on Shishkin mesh

    Article • Computers & Mathematics with Applications, January 2018, Elsevier

    Dr Natesan Srinivasan

  53. A finite element superconvergence approximations for singularly perturbed system of convection-diffusion problems

    Article • January 2018, American Institute of Physics

    Dr Natesan Srinivasan

  54. A Uniformly Convergent NIPG Method for a Singularly Perturbed System of Reaction–Diffusion Boundary-Value Problems

    Article • January 2018, Springer Science + Business Media

    Dr Natesan Srinivasan

  55. Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems

    Article • Applied Mathematics and Computation, November 2017, Elsevier

    Dr Natesan Srinivasan

  56. Second-Order Uniformly Convergent Richardson Extrapolation Method for Singularly Perturbed Degenerate Parabolic PDEs

    Article • International Journal of Applied and Computational Mathematics, June 2017, Springer Science + Business Media

    Dr Natesan Srinivasan

  57. Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations

    Article • International Journal of Computer Mathematics, February 2017, Taylor & Francis

    Dr Natesan Srinivasan

  58. ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations

    Article • International Journal of Computer Mathematics, March 2016, Taylor & Francis

    Dr Natesan Srinivasan

  59. Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection–diffusion problems on Shishkin mesh

    Article • Applied Mathematics and Computation, November 2015, Elsevier

    Dr Natesan Srinivasan

  60. Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction–diffusion boundary-value problems

    Article • Applied Mathematics and Computation, December 2014, Elsevier

    Dr Natesan Srinivasan

  61. Robust numerical scheme for singularly perturbed convection–diffusion parabolic initial–boundary-value problems on equidistributed grids

    Article • Computer Physics Communications, July 2014, Elsevier

    Dr Natesan Srinivasan

  62. Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type

    Article • Numerical Methods for Partial Differential Equations, May 2014, Wiley

    Dr Natesan Srinivasan

  63. Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations

    Article • International Journal of Computer Mathematics, May 2014, Taylor & Francis

    Dr Natesan Srinivasan

  64. The parameter uniform numerical method for singularly perturbed parabolic reaction–diffusion problems on equidistributed grids

    Article • Applied Mathematics Letters, November 2013, Elsevier

    Dr Natesan Srinivasan

  65. Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids

    Article • International Journal of Computer Mathematics, May 2013, Taylor & Francis

    Dr Natesan Srinivasan

  66. Efficient Numerical Methods for Singularly Perturbed Differential Equations

    Article • January 2013, Wiley

    Dr Natesan Srinivasan

  67. An Efficient Hybrid Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic Type

    Article • January 2013, Springer Science + Business Media

    Dr Natesan Srinivasan

  68. HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID

    Article • International Journal of Computational Methods, December 2012, World Scientific Pub Co Pte Lt

    Dr Natesan Srinivasan

  69. A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems

    Article • Journal of Applied Mathematics and Computing, November 2012, Springer Science + Business Media

    Dr Natesan Srinivasan

  70. Uniformly convergent numerical method for singularly perturbed differential‐difference equation using grid equidistribution

    Article • International Journal for Numerical Methods in Biomedical Engineering, August 2011, Wiley

    Dr Natesan Srinivasan

  71. ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers

    Article • Numerical Algorithms, February 2011, Springer Science + Business Media

    Dr Natesan Srinivasan

  72. THE PARAMETER-ROBUST NUMERICAL METHOD BASED ON DEFECT-CORRECTION TECHNIQUE FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH LAYER BEHAVIOR

    Article • International Journal of Computational Methods, December 2010, World Scientific Pub Co Pte Lt

    Dr Natesan Srinivasan

  73. Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients

    Article • BIT Numerical Mathematics, November 2010, Springer Science + Business Media

    Dr Natesan Srinivasan

  74. Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems

    Article • Computing, October 2010, Springer Science + Business Media

    Dr Natesan Srinivasan

  75. Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution

    Article • Computers & Mathematics with Applications, October 2010, Elsevier

    Dr Natesan Srinivasan

  76. Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution

    Article • Journal of Applied Mathematics and Computing, August 2010, Springer Science + Business Media

    Dr Natesan Srinivasan

  77. Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm

    Article • Journal of Mathematical Chemistry, November 2009, Springer Science + Business Media

    Dr Natesan Srinivasan, Higinio Ramos

  78. A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems

    Article • International Journal of Computer Mathematics, November 2009, Taylor & Francis

    Dr Natesan Srinivasan

  79. Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations

    Article • International Journal of Computer Mathematics, July 2009, Taylor & Francis

    Dr Natesan Srinivasan

  80. Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems

    Article • Computing, April 2009, Springer Science + Business Media

    Dr Natesan Srinivasan

  81. An efficient hybrid numerical scheme for convection-dominated boundary-value problems

    Article • International Journal of Computer Mathematics, February 2009, Taylor & Francis

    Dr Natesan Srinivasan

  82. Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

    Article • Numerical Mathematics Theory Methods and Applications, January 2009, Global Science Press

    Dr Natesan Srinivasan

  83. Efficient numerical schemes for singularly perturbed parabolic initial‐boundary‐value problems

    Article • PAMM, December 2007, Wiley

    Dr Natesan Srinivasan

  84. A Robust computational method for singularly perturbed coupled system of reaction–diffusion boundary-value problems

    Article • Applied Mathematics and Computation, May 2007, Elsevier

    Dr Natesan Srinivasan

  85. Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers

    Article • Journal of Applied Mathematics and Computing, September 2006, Springer Science + Business Media

    Dr Natesan Srinivasan

  86. An efficient numerical method for singular perturbation problems

    Article • Journal of Computational and Applied Mathematics, July 2006, Elsevier

    Dr Natesan Srinivasan

  87. Numerical experiments with the Bloch–Floquet approach in homogenization

    Article • International Journal for Numerical Methods in Engineering, February 2006, Wiley

    Dr Natesan Srinivasan

  88. Parallel Implementation of a Spline Based Computational Approach for Singular Perturbation Problems

    Article • January 2006, Springer Science + Business Media

    Dr Natesan Srinivasan

  89. A computational method for self-adjoint singular perturbation problems using quintic spline

    Article • Computers & Mathematics with Applications, October 2005, Elsevier

    Dr Natesan Srinivasan

  90. Uniformly Convergent Computational Technique for Singularly Perturbed Self-adjoint Mixed Boundary-Value Problems

    Article • January 2005, Springer Science + Business Media

    Dr Natesan Srinivasan

  91. Arbitrary Lagrangian–Eulerian method for Navier–Stokes equations with moving boundaries

    Article • Computer Methods in Applied Mechanics and Engineering, November 2004, Elsevier

    Dr Natesan Srinivasan

  92. A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems

    Article • The Journal of Supercomputing, February 2004, Springer Science + Business Media

    Dr Natesan Srinivasan

  93. Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers

    Article • Journal of Computational and Applied Mathematics, September 2003, Elsevier

    Dr Natesan Srinivasan

  94. A numerical algorithm for singular perturbation problems exhibiting weak boundary layers

    Article • Computers & Mathematics with Applications, January 2003, Elsevier

    Dr Natesan Srinivasan

  95. Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients

    Article • Computer Methods in Applied Mechanics and Engineering, January 2003, Elsevier

    Dr Natesan Srinivasan

  96. “Shooting method” for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer

    Article • Applied Mathematics and Computation, December 2002, Elsevier

    Dr Natesan Srinivasan

  97. An asymptotic-numerical method for singularly perturbed Robin problems-I

    Article • Applied Mathematics and Computation, February 2002, Elsevier

    Dr Natesan Srinivasan

  98. An Efficient Parallel Algorithm for the Numerical Solution of Schrödinger Equation

    Article • January 2001, Springer Science + Business Media

    Dr Natesan Srinivasan

  99. “booster method” for singularly perturbed robin problems-II

    Article • International Journal of Computer Mathematics, January 2001, Taylor & Francis

    Dr Natesan Srinivasan

  100. “Booster method” for singularly perturbed robin problems i

    Article • International Journal of Computer Mathematics, January 2000, Taylor & Francis

    Dr Natesan Srinivasan

  101. Booster Method for Singularly-Perturbed One-Dimensional Reaction-Diffusion Neumann Problems

    Article • Journal of Optimization Theory and Applications, January 2000, Springer Science + Business Media

    Dr Natesan Srinivasan

  102. A “Booster method” for singular perturbation problems arising in chemical reactor theory

    Article • Applied Mathematics and Computation, April 1999, Elsevier

    Dr Natesan Srinivasan

  103. Improvement of numerical solution of selfadjoint singular perturbation problems by incorporation of asymptotic approximations

    Article • Applied Mathematics and Computation, February 1999, Elsevier

    Dr Natesan Srinivasan

  104. ‘Shooting method’ for singularly perturbed one-dimensional reaction-diffusion neumann problems

    Article • International Journal of Computer Mathematics, January 1999, Taylor & Francis

    Dr Natesan Srinivasan

  105. Booster Method for Singularly-Perturbed One-Dimensional Convection-Diffusion Neumann Problems

    Article • Journal of Optimization Theory and Applications, October 1998, Springer Science + Business Media

    Dr Natesan Srinivasan

  106. Initial-Value Technique for Singularly-Perturbed Turning-Point Problems Exhibiting Twin Boundary Layers

    Article • Journal of Optimization Theory and Applications, October 1998, Springer Science + Business Media

    Dr Natesan Srinivasan

  107. A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers

    Article • Applied Mathematics and Computation, July 1998, Elsevier

    Dr Natesan Srinivasan

  108. Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory

    Article • Journal of Optimization Theory and Applications, May 1998, Springer Science + Business Media

    Dr Natesan Srinivasan

  109. ‘Shooting method' for singular perturbation problems arising in chemical reactor theory

    Article • International Journal of Computer Mathematics, January 1998, Taylor & Francis

    Dr Natesan Srinivasan

  110. Quintic Spline Based Computational Scheme for Singularly Perturbed Convection-Diffusion Problems

    Article • Institute of Electrical & Electronics Engineers (IEEE)

    Dr Natesan Srinivasan

  111. An ε-Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems

    Article • Springer Science + Business Media

    Dr Natesan Srinivasan