Tamed stability of finite difference schemes for the transport equation on the half-line
DOI10.1090/mcom/3901arXiv2304.02612MaRDI QIDQ6203458
Publication date: 28 February 2024
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.02612
stabilityboundary conditionsToeplitz operatorshyperbolic equationssemigroup estimatesLopatinskii determinantdifference approximations
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Finite difference methods for boundary value problems involving PDEs (65N06) Initial-boundary value problems for first-order hyperbolic equations (35L04)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the convolution powers of complex functions on \(\mathbb{Z}\)
- On the stability definition of difference approximations for the initial boundary value problem
- Perturbation theory for linear operators.
- Generalized Gaussian bounds for discrete convolution powers
- Finite volume transport schemes
- Stability of difference schemes in the maximum-norm
- Time-Dependent Problems and Difference Methods
- Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems
- Instability of difference models for hyperbolic initial boundary value problems
- Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
- Shorter Notes: A Simple Proof of Wiener's 1/f Theorem
- Pointwise semigroup methods and stability of viscous shock waves
- The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems
- Green's function pointwise estimates for the modified Lax–Friedrichs scheme
- Pointwise Green's function bounds and stability of relaxation shocks
- Convolution powers of complex functions on
- Systems of Difference Equations with General Homogeneous Boundary Conditions
- Stability of Difference Approximations of Dissipative Type for Mixed Initial-Boundary Value Problems.
- Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
- Sharp stability for finite difference approximations of hyperbolic equations with boundary conditions
- On the spectrum of a Toeplitz operator
This page was built for publication: Tamed stability of finite difference schemes for the transport equation on the half-line