All Stories

  1. Uniform convergence analysis of dimensional-splitting weak Galerkin FEM and classical weak Galerkin FEM for singularly perturbed 2D nonlinear parabolic PDEs
  2. An Effective Dimension-Reducing Technique for Two-Dimensional Nonlinear Space-Fractional Diffusion Equation
  3. Stability and robust error analysis of an L1-NIPG method for time-fractional singularly perturbed differential equations
  4. Analysis of an Accurate Weak Galerkin Finite Element Method for the PDEs Arising in Zero-Coupon Bond Pricing
  5. Reliable Numerical Pricing of Multi–Asset European Options Using a Weak Galerkin FEM for Generalized Black–Scholes Models
  6. Physics-informed neural network for option pricing weather derivatives model
  7. A Physics‐Informed Neural Network Framework for Tumor‐Immune Interactions, Metastatic Invasion, and Haptotaxis Systems
  8. Robust computing technique for reaction diffusion 2D parabolic problems with shift
  9. Application of physics informed neural networks to partial integro-differential equations in financial modeling and decision making
  10. A discontinuity-capturing SUPG finite element framework for simulating haptotaxis-driven cancer invasion
  11. An efficient and robust computational approach to passport option pricing PDEs
  12. A Stabilized Finite Element Method for Solving Black–Scholes PDEs with Applications to Lookback Options
  13. A Dimensionally Reduced Weak Galerkin FEM for Solving 2D Multi‐Term Time‐Fractional Diffusion Equation
  14. A fourth-order collocation scheme for generalized Black-Scholes model in financial decision-making
  15. A novel numerical scheme for Black-Scholes PDEs modeling pricing securities
  16. Pricing of options over time-fractional Black-Scholes jump-diffusion model with the methodology of NIPG
  17. Numerical Solution of Time-Fractional Black–Scholes PDE by Non-symmetric Interior Penalty Galerkin Method
  18. Numerical Solution of Passport Option Pricing Problem with Polynomial Neural Networks
  19. A parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems
  20. A weak Galerkin finite element method for fourth-order parabolic singularly perturbed problems on layer adapted Shishkin mesh
  21. A Novel ADI‐Weak Galerkin Method for Singularly Perturbed Two‐Parameter 2D Parabolic Pdes
  22. A Robust and Effective Numerical Technique for Solving Black-Scholes PDEs
  23. Solution of singularly perturbed system of 2D parabolic convection diffusion differential-difference equations using alternating direction method
  24. An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes
  25. Anisotropic error analysis of Weak Galerkin finite element method for Singularly Perturbed Biharmonic problems
  26. Fractal quintic spline solutions for singularly perturbed reaction-diffusion boundary-value problems
  27. An efficient computational technique for semilinear time-fractional diffusion equation
  28. Error analysis for discontinuous Galerkin method for time‐fractional Burgers' equation
  29. Superconvergence analysis of interior penalty discontinuous Galerkin method for a class of time-fractional diffusion problems
  30. A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation
  31. Nonsymmetric interior penalty Galerkin method for nonlinear time-fractional integro-partial differential equations
  32. Richardson extrapolation technique for generalized Black–Scholes PDEs for European options
  33. Towards an efficient machine learning model for financial time series forecasting
  34. Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations
  35. Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection – diffusion – reaction problems
  36. Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation
  37. Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters
  38. Parameter Uniform Numerical Method for Singularly Perturbed 2D Parabolic PDE with Shift in Space
  39. SUPG-YZβ computation of chemically reactive convection-dominated nonlinear models
  40. Towards an efficient backbone for preserving features in speech emotion recognition: deep-shallow convolution with recurrent neural network
  41. Convergence analysis of a second-order scheme for fractional differential equation with integral boundary conditions
  42. Stability and error analysis of a fully-discrete numerical method for system of 2D singularly perturbed parabolic PDEs
  43. A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs
  44. Convergence analysis of a fully-discrete FEM for singularly perturbed two-parameter parabolic PDE
  45. An Efficient DWR-Type a Posteriori Error Bound of SDFEM for Singularly Perturbed Convection–Diffusion PDEs
  46. Assamese Character Recognition Using Convolutional Neural Networks
  47. Experimenting with Assamese Handwritten Character Recognition
  48. Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers
  49. Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs
  50. Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems
  51. Error estimates for a fully discrete $\varepsilon-$uniform finite element method on quasi uniform meshes
  52. Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers
  53. Fractal quintic spline method for nonlinear boundary-value problems
  54. A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature
  55. SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids
  56. Shape preserving $$\alpha$$-fractal rational cubic splines
  57. Numerical solution of 2D singularly perturbed reaction–diffusion system with multiple scales
  58. SDFEM for singularly perturbed boundary-value problems with two parameters
  59. A Uniformly Convergent Numerical Scheme for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations
  60. An efficient robust numerical method for singularly perturbed Burgers’ equation
  61. A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems
  62. Numerical Analysis of Singularly Perturbed System of Parabolic Convection–Diffusion Problem with Regular Boundary Layers
  63. An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems
  64. 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]
  65. Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems
  66. Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers
  67. Constrained and convex interpolation through rational cubic fractal interpolation surface
  68. Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems
  69. An ϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem
  70. Fractional Step Method for Singularly Perturbed 2D Delay Parabolic Convection Diffusion Problems on Shishkin Mesh
  71. Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection–diffusion problems on Shishkin mesh
  72. Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection–diffusion problems on Shishkin mesh
  73. A finite element superconvergence approximations for singularly perturbed system of convection-diffusion problems
  74. A Uniformly Convergent NIPG Method for a Singularly Perturbed System of Reaction–Diffusion Boundary-Value Problems
  75. Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems
  76. Second-Order Uniformly Convergent Richardson Extrapolation Method for Singularly Perturbed Degenerate Parabolic PDEs
  77. Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations
  78. ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
  79. Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection–diffusion problems on Shishkin mesh
  80. Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction–diffusion boundary-value problems
  81. Robust numerical scheme for singularly perturbed convection–diffusion parabolic initial–boundary-value problems on equidistributed grids
  82. Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type
  83. Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations
  84. The parameter uniform numerical method for singularly perturbed parabolic reaction–diffusion problems on equidistributed grids
  85. Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids
  86. Efficient Numerical Methods for Singularly Perturbed Differential Equations
  87. An Efficient Hybrid Numerical Scheme for Singularly Perturbed Problems of Mixed Parabolic-Elliptic Type
  88. HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID
  89. A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
  90. Uniformly convergent numerical method for singularly perturbed differential‐difference equation using grid equidistribution
  91. ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers
  92. THE PARAMETER-ROBUST NUMERICAL METHOD BASED ON DEFECT-CORRECTION TECHNIQUE FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH LAYER BEHAVIOR
  93. Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
  94. Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems
  95. Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution
  96. Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution
  97. Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm
  98. A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems
  99. Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations
  100. Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems
  101. An efficient hybrid numerical scheme for convection-dominated boundary-value problems
  102. Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid
  103. Efficient numerical schemes for singularly perturbed parabolic initial‐boundary‐value problems
  104. A Robust computational method for singularly perturbed coupled system of reaction–diffusion boundary-value problems
  105. Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
  106. An efficient numerical method for singular perturbation problems
  107. Numerical experiments with the Bloch–Floquet approach in homogenization
  108. Parallel Implementation of a Spline Based Computational Approach for Singular Perturbation Problems
  109. A computational method for self-adjoint singular perturbation problems using quintic spline
  110. Uniformly Convergent Computational Technique for Singularly Perturbed Self-adjoint Mixed Boundary-Value Problems
  111. Arbitrary Lagrangian–Eulerian method for Navier–Stokes equations with moving boundaries
  112. A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems
  113. Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers
  114. A numerical algorithm for singular perturbation problems exhibiting weak boundary layers
  115. Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients
  116. “Shooting method” for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer
  117. An asymptotic-numerical method for singularly perturbed Robin problems-I
  118. An Efficient Parallel Algorithm for the Numerical Solution of Schrödinger Equation
  119. “booster method” for singularly perturbed robin problems-II
  120. “Booster method” for singularly perturbed robin problems i
  121. Booster Method for Singularly-Perturbed One-Dimensional Reaction-Diffusion Neumann Problems
  122. A “Booster method” for singular perturbation problems arising in chemical reactor theory
  123. Improvement of numerical solution of selfadjoint singular perturbation problems by incorporation of asymptotic approximations
  124. ‘Shooting method’ for singularly perturbed one-dimensional reaction-diffusion neumann problems
  125. Booster Method for Singularly-Perturbed One-Dimensional Convection-Diffusion Neumann Problems
  126. Initial-Value Technique for Singularly-Perturbed Turning-Point Problems Exhibiting Twin Boundary Layers
  127. A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
  128. Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory
  129. ‘Shooting method' for singular perturbation problems arising in chemical reactor theory
  130. Quintic Spline Based Computational Scheme for Singularly Perturbed Convection-Diffusion Problems
  131. An ε-Uniform Hybrid Scheme for Singularly Perturbed 1-D Reaction-Diffusion Problems