Semi‐analytic time differencing methods for singularly perturbed initial value problems
DOI10.1002/num.22839OpenAlexW3198629274WikidataQ115397272 ScholiaQ115397272MaRDI QIDQ6089128
Gung-Min Gie, Hoyeon Lee, Chang-Yeol Jung
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22839
boundary layersstiff problemssingular perturbation analysisnonlinear ordinary differential equationsinitial layerssemi-analytical time differencing
Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Methods of ordinary differential equations applied to PDEs (35A24) Numerical methods for stiff equations (65L04) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Cites Work
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- Finite volume approximation of one-dimensional stiff convection-diffusion equations
- Exponential time differencing for stiff systems
- Generalized integrating factor methods for stiff PDEs
- An exponential time differencing method for the nonlinear Schrödinger equation
- Enriched finite volume approximations of the plane-parallel flow at a small viscosity
- Singular perturbation theory. Mathematical and analytical techniques with applications to engineering. With a foreword by Alan Jeffrey
- Layers and corner singularities in singularly perturbed elliptic problems
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Numerical approximation of one-dimensional stationary diffusion equations with boundary layers
- New approximation algorithms for a class of partial differential equations displaying boundary layer behavior
- Singular perturbations and boundary layers
- On the numerical approximations of stiff convection-diffusion equations in a circle
- Semi-analytical time differencing methods for stiff problems
- Singularly perturbed reaction–diffusion equations in a circle with numerical applications
- Steady-state convection-diffusion problems
- Singularly Perturbed Linear Two-Point Boundary Value Problems
- Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point
- Asymptotic Analysis of a Singular Perturbation Problem
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Fourth-Order Time-Stepping for Stiff PDEs
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