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Fitted Numerical Methods For Singular Perturbation Problems

https://doi.org/10.1142/8410
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Cubature formulas for a two-variable function with boundary-layer components
inferred← citeshttps://doi.org/10.1134/s0965542514080120openalex-snapshot
Computer difference scheme for a singularly perturbed convection-diffusion equation
inferred← citeshttps://doi.org/10.1134/s0965542514100078openalex-snapshot
Modification of the Euler quadrature formula for functions with a boundary-layer component
inferred← citeshttps://doi.org/10.1134/s0965542515110159openalex-snapshot
Difference scheme for a singularly perturbed parabolic convection–diffusion equation in the presence of perturbations
inferred← citeshttps://doi.org/10.1134/s0965542516030179openalex-snapshot
Analogue of Newton–Cotes formulas for numerical integration of functions with a boundary-layer component
inferred← citeshttps://doi.org/10.1134/s0965542517010043openalex-snapshot
Cubic spline interpolation of functions with high gradients in boundary layers
inferred← citeshttps://doi.org/10.1134/s0965542517050128openalex-snapshot
Computer difference scheme for a singularly perturbed elliptic convection–diffusion equation in the presence of perturbations
inferred← citeshttps://doi.org/10.1134/s0965542517110136openalex-snapshot
Difference scheme for an initial–boundary value problem for a singularly perturbed transport equation
inferred← citeshttps://doi.org/10.1134/s0965542519030047openalex-snapshot
Approximation of a Function and Its Derivatives on the Basis of Cubic Spline Interpolation in the Presence of a Boundary Layer
inferred← citeshttps://doi.org/10.1134/s0965542522030137openalex-snapshot
Monotone Decomposition of the Cauchy Problem for a Hyperbolic Equation Based on Transport Equations
inferred← citeshttps://doi.org/10.1134/s0965542522030149openalex-snapshot
Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer
inferred← citeshttps://doi.org/10.1134/s0965542522070089openalex-snapshot
A Difference Scheme of the Decomposition Method for an Initial Boundary Value Problem for the Singularly Perturbed Transport Equation
inferred← citeshttps://doi.org/10.1134/s0965542523020148openalex-snapshot
Analysis of Numerical Differential Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer
inferred← citeshttps://doi.org/10.1134/s096554252305010xopenalex-snapshot
Alternative Direction Implicit Method for Solving First Order 2D Hyperbolic Delay Differential Equations
inferred← citeshttps://doi.org/10.1134/s0965542526700120openalex-snapshot
Adaptive Grids and Numerical Algorithms for Solving Stationary and Non-Stationary Problems with a Variable Diffusion Coefficient, Small Parameter and Turning Point
inferred← citeshttps://doi.org/10.1134/s1995080216030069openalex-snapshot
Interpolation of a function of two variables with large gradients in boundary layers
inferred← citeshttps://doi.org/10.1134/s1995423915030040openalex-snapshot
Lagrange interpolation and Newton-Cotes formulas for functions with boundary layer components on piecewise-uniform grids
inferred← citeshttps://doi.org/10.1134/s1995423917020021openalex-snapshot
On the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer
inferred← citeshttps://doi.org/10.1134/s1995423918030011openalex-snapshot
Analysis of Numerical Differentiation Formulas in a Boundary Layer on a Shishkin Grid
inferred← citeshttps://doi.org/10.1134/s1995423919020071openalex-snapshot
Parameter-Uniform Numerical Methods for a Class of Parameterized Singular Perturbation Problems
inferred← citeshttps://doi.org/10.1134/s1995423922030077openalex-snapshot
Fitted Operator Method over Gaussian Quadrature Formula for Parabolic Singularly Perturbed Convection-Diffusion Problem
inferred← citeshttps://doi.org/10.1142/s1793524519500013openalex-snapshot
A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction–diffusion type with initial and Robin boundary conditions
inferred← citeshttps://doi.org/10.1142/s1793557120500254openalex-snapshot
An 𝜀-uniform method for a class of singularly perturbed parabolic problems with Robin boundary conditions having boundary turning point
inferred← citeshttps://doi.org/10.1142/s1793962318500538openalex-snapshot
Geometric grid network and third-order compact scheme for solving nonlinear variable coefficients 3D elliptic PDEs
inferred← citeshttps://doi.org/10.1142/s1793962319500168openalex-snapshot
A second-order finite difference scheme for singularly perturbed initial value problem on layer-adapted meshes
inferred← citeshttps://doi.org/10.1142/s1793962321500057openalex-snapshot
Spline approximation method for singularly perturbed differential-difference equation on nonuniform grids
inferred← citeshttps://doi.org/10.1155/2020/6661592openalex-snapshot
Higher-Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Differential Difference Equations with Mixed Small Shifts
inferred← citeshttps://doi.org/10.1155/2021/6641236openalex-snapshot
Novel Numerical Scheme for Singularly Perturbed Time Delay Convection-Diffusion Equation
inferred← citeshttps://doi.org/10.1155/2021/6654495openalex-snapshot
Uniformly Convergent Hybrid Numerical Method for Singularly Perturbed Delay Convection-Diffusion Problems
inferred← citeshttps://doi.org/10.1155/2022/2043323openalex-snapshot
Boundary Layer Resolving Exact Difference Scheme for Solving Singularly Perturbed Convection-Diffusion-Reaction Equation
inferred← citeshttps://doi.org/10.1155/2022/5625049openalex-snapshot
A Nonstandard Fitted Operator Method for Singularly Perturbed Parabolic Reaction-Diffusion Problems with a Large Time Delay
inferred← citeshttps://doi.org/10.1155/2023/4382780openalex-snapshot
Hybrid Fitted Numerical Scheme for Singularly Perturbed Convection-Diffusion Problem with a Small Time Lag
inferred← citeshttps://doi.org/10.1155/2023/4798517openalex-snapshot
Nonpolynomial Spline Method for Singularly Perturbed Time‐Dependent Parabolic Problem with Two Small Parameters
inferred← citeshttps://doi.org/10.1155/admp/8769798openalex-snapshot
A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional‐Order Delay Parabolic Equation
inferred← citeshttps://doi.org/10.1155/ijmm/5581971openalex-snapshot
Fitted Operator Method for Singularly Perturbed Delay Parabolic Problems With Boundary Turning Points
inferred← citeshttps://doi.org/10.1155/ijmm/7247457openalex-snapshot
Hybrid Fitted Mesh Strategy for Singularly Perturbed Time‐Dependent Convection‐Diffusion Problems Featuring Boundary Turning Points
inferred← citeshttps://doi.org/10.1155/ijmm/9646984openalex-snapshot
A Hybrid Computational Approach for Singularly Perturbed Parabolic Differential Equations Involving Small Negative Shift Parameters
inferred← citeshttps://doi.org/10.1177/10812865251399827openalex-snapshot
A robust Simpson’s 3/8 numerical integration method to solve singularly perturbed delay differential and differential–difference equations having boundary layer at one end
inferred← citeshttps://doi.org/10.1186/s13104-023-06347-6openalex-snapshot
Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition
inferred← citeshttps://doi.org/10.1186/s13662-018-1620-0openalex-snapshot
A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition
inferred← citeshttps://doi.org/10.11948/2017091openalex-snapshot
REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM
inferred← citeshttps://doi.org/10.13052/ejcm2642-2085.2854openalex-snapshot
A Second Order Weighted Numerical Scheme on Nonuniform Meshes for Convection Diffusion Parabolic Problems
inferred← citeshttps://doi.org/10.1515/cmam-2019-0023openalex-snapshot
Difference Schemes on Uniform Grids for an Initial-Boundary Value Problem for a Singularly Perturbed Parabolic Convection-Diffusion Equation
inferred← citeshttps://doi.org/10.15672/hujms.1050505openalex-snapshot
An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation
inferred← citeshttps://doi.org/10.18280/mmep.110118openalex-snapshot
Hybrid Difference Scheme for Singularly Perturbed Differential Equation with Discontinuous Source Term
inferred← citeshttps://doi.org/10.18514/mmn.2018.2455openalex-snapshot
Uniform numerical approximation for parameter dependent singularly perturbed problem with integral boundary condition
inferred← citeshttps://doi.org/10.2139/ssrn.4882942openalex-snapshot
Fitted Mesh Hybridized Approach for Singularly Perturbed Unsteady Convection-Diffusion Problem with Boundary Turning Points
inferred← citeshttps://doi.org/10.2139/ssrn.6545161openalex-snapshot
Singularly perturbed elliptic problems with interior characteristic layers
inferred← citeshttps://doi.org/10.22541/au.170665816.64104102/v1openalex-snapshot
A hybrid finite difference scheme for turning-point parabolic functional differential equations with discontinuous coefficients and source
inferred← citeshttps://doi.org/10.2478/ijame-2022-0007openalex-snapshot
Difference Scheme for Differential-Difference Problems with Small Shifts Arising in Computational Model of Neuronal Variability
inferred← citeshttps://doi.org/10.26634/jmat.7.1.14031openalex-snapshot
A Simple Method Of Numerical Integration For A Class Of Singularly Perturbed Two Point Boundary Value Problems
inferred← citeshttps://doi.org/10.26713/cma.v10i3.1100openalex-snapshot
Gaussian Quadrature for Two-Point Singularly Perturbed Boundary Value Problems with Exponential Fitting
inferred← citeshttps://doi.org/10.26713/cma.v10i4.1272openalex-snapshot
Numerical Solution of Singularly Perturbed Boundary Value Problems with Twin Boundary Layers using Exponential Fitted Scheme
inferred← citeshttps://doi.org/10.26713/cma.v10i4.1309openalex-snapshot
Numerical Approach for Differential-Difference Equations with Layer Behaviour
inferred← citeshttps://doi.org/10.26713/cma.v14i1.1970openalex-snapshot
Numerical Study of Layer Behaviour Differential-Difference Equations With Small Delay Arising in the Nerve Pulse Propagation
inferred← citeshttps://doi.org/10.26713/cma.v14i1.2047openalex-snapshot
Numerical Simulation for a Differential Difference Equation With an Interior Layer
inferred← citeshttps://doi.org/10.26713/cma.v15i3.2778openalex-snapshot
A Numerical Scheme for Solving Fourth-Order Convection–Reaction–Diffusion Problems with Boundary Layers
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