All Stories

  1. Physics-informed neural network for option pricing weather derivatives model
  2. A Physics‐Informed Neural Network Framework for Tumor‐Immune Interactions, Metastatic Invasion, and Haptotaxis Systems
  3. Robust computing technique for reaction diffusion 2D parabolic problems with shift
  4. Application of physics informed neural networks to partial integro-differential equations in financial modeling and decision making
  5. A discontinuity-capturing SUPG finite element framework for simulating haptotaxis-driven cancer invasion
  6. An efficient and robust computational approach to passport option pricing PDEs
  7. A Stabilized Finite Element Method for Solving Black–Scholes PDEs with Applications to Lookback Options
  8. A Dimensionally Reduced Weak Galerkin FEM for Solving 2D Multi‐Term Time‐Fractional Diffusion Equation
  9. A fourth-order collocation scheme for generalized Black-Scholes model in financial decision-making
  10. A novel numerical scheme for Black-Scholes PDEs modeling pricing securities
  11. Pricing of options over time-fractional Black-Scholes jump-diffusion model with the methodology of NIPG
  12. Numerical Solution of Time-Fractional Black–Scholes PDE by Non-symmetric Interior Penalty Galerkin Method
  13. Numerical Solution of Passport Option Pricing Problem with Polynomial Neural Networks
  14. A parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems
  15. A weak Galerkin finite element method for fourth-order parabolic singularly perturbed problems on layer adapted Shishkin mesh
  16. A Novel ADI‐Weak Galerkin Method for Singularly Perturbed Two‐Parameter 2D Parabolic Pdes
  17. Solution of singularly perturbed system of 2D parabolic convection diffusion differential-difference equations using alternating direction method
  18. An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes
  19. Anisotropic error analysis of Weak Galerkin finite element method for Singularly Perturbed Biharmonic problems
  20. Fractal quintic spline solutions for singularly perturbed reaction-diffusion boundary-value problems
  21. An efficient computational technique for semilinear time-fractional diffusion equation
  22. Error analysis for discontinuous Galerkin method for time‐fractional Burgers' equation
  23. Superconvergence analysis of interior penalty discontinuous Galerkin method for a class of time-fractional diffusion problems
  24. A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation
  25. Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations
  26. Richardson extrapolation technique for generalized Black–Scholes PDEs for European options
  27. Towards an efficient machine learning model for financial time series forecasting
  28. Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations
  29. Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems
  30. Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation
  31. Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters
  32. Parameter Uniform Numerical Method for Singularly Perturbed 2D Parabolic PDE with Shift in Space
  33. SUPG-YZβ computation of chemically reactive convection-dominated nonlinear models
  34. Towards an efficient backbone for preserving features in speech emotion recognition: deep-shallow convolution with recurrent neural network
  35. Convergence analysis of a second-order scheme for fractional differential equation with integral boundary conditions
  36. Stability and error analysis of a fully-discrete numerical method for system of 2D singularly perturbed parabolic PDEs
  37. A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs
  38. Convergence analysis of a fully-discrete FEM for singularly perturbed two-parameter parabolic PDE
  39. An Efficient DWR-Type a Posteriori Error Bound of SDFEM for Singularly Perturbed Convection–Diffusion PDEs
  40. Assamese Character Recognition Using Convolutional Neural Networks
  41. Experimenting with Assamese Handwritten Character Recognition
  42. Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers
  43. Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs
  44. Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems
  45. Error estimates for a fully discrete $\varepsilon-$uniform finite element method on quasi uniform meshes
  46. Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers
  47. Fractal quintic spline method for nonlinear boundary-value problems
  48. A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature
  49. SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids
  50. Shape preserving $$\alpha$$-fractal rational cubic splines
  51. Numerical solution of 2D singularly perturbed reaction–diffusion system with multiple scales
  52. SDFEM for singularly perturbed boundary-value problems with two parameters
  53. A Uniformly Convergent Numerical Scheme for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations
  54. An efficient robust numerical method for singularly perturbed Burgers’ equation
  55. A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems
  56. Numerical Analysis of Singularly Perturbed System of Parabolic Convection–Diffusion Problem with Regular Boundary Layers
  57. An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems
  58. 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]
  59. Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems
  60. Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers
  61. Constrained and convex interpolation through rational cubic fractal interpolation surface
  62. Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems
  63. An ϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem
  64. Fractional Step Method for Singularly Perturbed 2D Delay Parabolic Convection Diffusion Problems on Shishkin Mesh
  65. Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection–diffusion problems on Shishkin mesh
  66. Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection–diffusion problems on Shishkin mesh
  67. A finite element superconvergence approximations for singularly perturbed system of convection-diffusion problems
  68. A Uniformly Convergent NIPG Method for a Singularly Perturbed System of Reaction–Diffusion Boundary-Value Problems
  69. Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems
  70. Second-Order Uniformly Convergent Richardson Extrapolation Method for Singularly Perturbed Degenerate Parabolic PDEs
  71. Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations
  72. ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
  73. Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection–diffusion problems on Shishkin mesh
  74. Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction–diffusion boundary-value problems
  75. Robust numerical scheme for singularly perturbed convection–diffusion parabolic initial–boundary-value problems on equidistributed grids
  76. Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type
  77. Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations
  78. The parameter uniform numerical method for singularly perturbed parabolic reaction–diffusion problems on equidistributed grids
  79. Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids
  80. Efficient Numerical Methods for Singularly Perturbed Differential Equations
  81. An Efficient Hybrid Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic Type
  82. HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID
  83. A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
  84. Uniformly convergent numerical method for singularly perturbed differential‐difference equation using grid equidistribution
  85. ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers
  86. THE PARAMETER-ROBUST NUMERICAL METHOD BASED ON DEFECT-CORRECTION TECHNIQUE FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH LAYER BEHAVIOR
  87. Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
  88. Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems
  89. Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution
  90. Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution
  91. Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm
  92. A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems
  93. Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations
  94. Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems
  95. An efficient hybrid numerical scheme for convection-dominated boundary-value problems
  96. Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid
  97. Efficient numerical schemes for singularly perturbed parabolic initial‐boundary‐value problems
  98. A Robust computational method for singularly perturbed coupled system of reaction–diffusion boundary-value problems
  99. Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
  100. An efficient numerical method for singular perturbation problems
  101. Numerical experiments with the Bloch–Floquet approach in homogenization
  102. Parallel Implementation of a Spline Based Computational Approach for Singular Perturbation Problems
  103. A computational method for self-adjoint singular perturbation problems using quintic spline
  104. Uniformly Convergent Computational Technique for Singularly Perturbed Self-adjoint Mixed Boundary-Value Problems
  105. Arbitrary Lagrangian–Eulerian method for Navier–Stokes equations with moving boundaries
  106. A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems
  107. Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers
  108. A numerical algorithm for singular perturbation problems exhibiting weak boundary layers
  109. Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients
  110. “Shooting method” for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer
  111. An asymptotic-numerical method for singularly perturbed Robin problems-I
  112. An Efficient Parallel Algorithm for the Numerical Solution of Schrödinger Equation
  113. “booster method” for singularly perturbed robin problems-II
  114. “Booster method” for singularly perturbed robin problems i
  115. Booster Method for Singularly-Perturbed One-Dimensional Reaction-Diffusion Neumann Problems
  116. A “Booster method” for singular perturbation problems arising in chemical reactor theory
  117. Improvement of numerical solution of selfadjoint singular perturbation problems by incorporation of asymptotic approximations
  118. ‘Shooting method’ for singularly perturbed one-dimensional reaction-diffusion neumann problems
  119. Booster Method for Singularly-Perturbed One-Dimensional Convection-Diffusion Neumann Problems
  120. Initial-Value Technique for Singularly-Perturbed Turning-Point Problems Exhibiting Twin Boundary Layers
  121. A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
  122. Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory
  123. ‘Shooting method' for singular perturbation problems arising in chemical reactor theory
  124. Quintic Spline Based Computational Scheme for Singularly Perturbed Convection-Diffusion Problems
  125. An ε-Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems