Coarse Grid Corrections in Krylov Subspace Evaluations of the Matrix Exponential
DOI10.1137/21m1434131zbMath1517.65033arXiv2107.07590OpenAlexW3185471762MaRDI QIDQ6108162
Publication date: 29 June 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.07590
multigridKrylov subspace methodsmatrix exponentialexponential time integrationexponential residualphi matrix function
Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical computation of matrix exponential and similar matrix functions (65F60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the solution of evolution equations based on multigrid and explicit iterative methods
- Implementation of a restarted Krylov subspace method for the evaluation of matrix functions
- The rate of convergence of conjugate gradients
- Multi-grid dynamic iteration for parabolic equations
- Iterative solution of large sparse systems of equations. Transl. from the German
- A Krylov projection method for systems of ODEs
- Implicit and multigrid procedures for steady-state computations with upwind algorithms
- ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations
- On development of parallel algorithms for solving parabolic and elliptic equations
- 50 Years of Time Parallel Time Integration
- Residual, Restarting, and Richardson Iteration for the Matrix Exponential
- Exponential integrators
- Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature
- Convergence of Dynamic Iteration Methods for Initial Value Problems
- Deflated Restarting for Matrix Functions
- Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
- Interweaving PFASST and Parallel Multigrid
- On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$
- Spectral Methods in Time for Parabolic Problems
- Expokit
- On SOR Waveform Relaxation Methods
- Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions
- ITERATIVE METHODS FOR ELLIPTIC DIFFERENCE EQUATIONS
- Iterative Krylov Methods for Large Linear Systems
- Multigrid Waveform Relaxation of Spatial Finite Element Meshes: The Continuous-Time Case
- Residual and Restarting in Krylov Subspace Evaluation of the $\varphi$ Function
- Parallel Time Integration with Multigrid
- Convergence of Restarted Krylov Subspace Methods for Stieltjes Functions of Matrices
- A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions
- The speed of convergence of one iterative process
- A relaxation method for solving elliptic difference equations
- An implicit multigrid method for turbulent combustion
This page was built for publication: Coarse Grid Corrections in Krylov Subspace Evaluations of the Matrix Exponential
