Preconditioned implicit solution of linear hyperbolic equations with adaptivity
DOI10.1016/j.cam.2004.01.041zbMath1054.65097OpenAlexW1967888355MaRDI QIDQ596204
Alison Ramage, Lina von Sydow, Stefan Söderberg, Per Loetstedt
Publication date: 10 August 2004
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.041
algorithmconvergencefinite volume methodnumerical experimentsparallel computationadaptivityGMRESgeneralized minimal residual methodlinear multistep methoddifferent time scalesimplicit time stepping methodssemi-Toeplitz preconditioning
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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Initial value problems for first-order hyperbolic systems (35L45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Accurate and stable grid interfaces for finite volume methods
- On the eigenvalue distribution of a class of preconditioning methods
- Local adaptive mesh refinement for shock hydrodynamics
- An adaptively refined Cartesian mesh solver for the Euler equations
- A fast modified sine transform for solving block-tridiagonal systems with Toeplitz blocks
- Implicit solution of hyerbolic equations with space-time adaptivity
- Adaptive Error Control for Steady State Solutions of Inviscid Flow
- Solving Ordinary Differential Equations I
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- The Use of Iterative Linear-Equation Solvers in Codes for Large Systems of Stiff IVP<scp>s</scp> for ODE<scp>s</scp>
- Stability of Interfaces with Mesh Refinement
- A restarted version of a generalized preconditioned conjugate gradient method
- Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
- Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
- A Domain Decomposition Method for First-Order PDEs
- Analysis of Semi-Toeplitz Preconditioners for First-Order PDE<scp>s</scp>
This page was built for publication: Preconditioned implicit solution of linear hyperbolic equations with adaptivity