Enriched spectral method for stiff convection-dominated equations
From MaRDI portal
Publication:1743420
DOI10.1007/s10915-017-0494-8zbMath1394.65155OpenAlexW2735880222MaRDI QIDQ1743420
Chang-Yeol Jung, Youngjoon Hong
Publication date: 13 April 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0494-8
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (3)
Spectral operator learning for parametric PDEs without data reliance ⋮ A new spectral method using nonstandard singular basis functions for time-fractional differential equations ⋮ Enriched numerical scheme for singularly perturbed barotropic quasi-geostrophic equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recent progresses in boundary layer theory
- The tailored finite point method
- Accelerated convergence for Schrödinger equations with non-smooth potentials
- A note on the spectral collocation approximation of some differential equations with singular source terms
- Finite volume approximation of one-dimensional stiff convection-diffusion equations
- Tailored finite point method for steady-state reaction-diffusion equations
- A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I
- A rational spectral collocation method for solving a class of parameterized singular perturbation problems
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Ten ways to generate the Il'in and related schemes
- A new efficient spectral Galerkin method for singular perturbation problems
- Hybrid spectral element/asymptotic method for boundary layers problems
- Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains. I: Convergence analysis.
- On the numerical approximations of stiff convection-diffusion equations in a circle
- Numerical approximation of the singularly perturbed heat equation in a circle
- Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems
- Pointwise error estimates for a streamline diffusion scheme on a Shishkin mesh for a convection-diffusion problem
- A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions
- Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
- Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems
- A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point
- A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points
- Nonmonotone Interior Layer Theory for Some Singularly Perturbed Quasilinear Boundary Value Problems with Turning Points
- Perturbed quasilinear dirichlet problems with isolated turning poInts
- Asymptotic Analysis of a Singular Perturbation Problem
- A High-Order Difference Method for Differential Equations
- A New Method of Stabilization for Singular Perturbation Problems with Spectral Methods
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- Spectral Methods in MATLAB
- Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
- Tailored finite point method based on exponential bases for convection-diffusion-reaction equation
- Singularly perturbed problems with a turning point: The non-compatible case
- Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems
This page was built for publication: Enriched spectral method for stiff convection-dominated equations
