Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule
From MaRDI portal
Publication:1294461
DOI10.1016/S0168-9274(97)00096-2zbMath0949.65091MaRDI QIDQ1294461
Publication date: 21 November 2000
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
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) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (5)
Interface procedures for finite difference approximations of the advection-diffusion equation ⋮ An asymptotically stable compact upwind-biased finite-difference scheme for hyperbolic systems ⋮ Finite volume methods, unstructured meshes and strict stability for hyperbolic problems ⋮ On the implementation of boundary conditions for the method of lines ⋮ High-order time-stable numerical boundary scheme for the temporally dependent Maxwell equations in two dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- On the stability definition of difference approximations for the initial boundary value problem
- The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Summation by Parts, Projections, and Stability. I
- Summation by Parts, Projections, and Stability. II
This page was built for publication: Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule
