Analysis of the parareal algorithm for linear parametric differential equations
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Publication:6106711
DOI10.1080/00207160.2022.2153225zbMath1524.65263MaRDI QIDQ6106711
Unnamed Author, Bo Song, Yao-Lin Jiang, Jun Li
Publication date: 3 July 2023
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
convergence analysisnumerical simulationparareal algorithmwaveform relaxation methodlinear parametric differential equations
Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Cites Work
- Adaptive rational Krylov subspaces for large-scale dynamical systems
- A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations
- Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems
- Parareal algorithms with local time-integrators for time fractional differential equations
- Fast parareal iterations for fractional diffusion equations
- A parareal algorithm based on waveform relaxation
- Periodic waveform relaxation solutions of nonlinear dynamic equations.
- An existence of an isolated solution to nonlinear two-point boundary value problem with parameter
- Analysis for parareal algorithms applied to Hamiltonian differential equations
- Résolution d'EDP par un schéma en temps «pararéel »
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Analysis of Two Parareal Algorithms for Time-Periodic Problems
- Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
- Nonlinear Convergence Analysis for the Parareal Algorithm
- On Dynamic Iteration Methods for Solving Time-Periodic Differential Equations
- A Note on the Spectra and Pseudospectra of Waveform Relaxation Operators for Linear Differential-Algebraic Equations
- On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
- A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
- Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems
- A new parareal waveform relaxation algorithm for time-periodic problems
- Convergence analysis of a parareal-in-time algorithm for the incompressible non-isothermal flows
- A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems
- PARAOPT: A Parareal Algorithm for Optimality Systems
- On Parareal Algorithms for Semilinear Parabolic Stochastic PDEs
- Convergence Analysis for Three Parareal Solvers
- Three rapidly convergent parareal solvers with application to time‐dependent PDEs with fractional Laplacian
- A parametrization method for solving nonlinear two-point boundary value problems
- ℋ ∞ model reduction for linear parameter-varying systems with distributed delay
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- A note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations
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