All Stories

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