GParareal: a time-parallel ODE solver using Gaussian process emulation
From MaRDI portal
Publication:2680306
DOI10.1007/s11222-022-10195-yzbMath1502.65041arXiv2201.13418OpenAlexW4312106745MaRDI QIDQ2680306
Publication date: 28 December 2022
Published in: Statistics and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.13418
Gaussian processes (60G15) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity
- Parallelization in time of numerical simulations of fully-developed plasma turbulence using the parareal algorithm
- PPINN: parareal physics-informed neural network for time-dependent PDEs
- Time-parallel algorithm for two phase flows simulation
- Multi-step variant of the parareal algorithm
- Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere
- An adaptive parareal algorithm
- Convergence rates of Gaussian ODE filters
- Probabilistic solutions to ordinary differential equations as nonlinear Bayesian filtering: a new perspective
- A modern retrospective on probabilistic numerics
- A probabilistic model for the numerical solution of initial value problems
- An equation for continuous chaos
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- Kernels for Vector-Valued Functions: A Review
- Solving Ordinary Differential Equations I
- An Introduction to Domain Decomposition Methods
- Nonlinear Convergence Analysis for the Parareal Algorithm
- Parallel in Time Simulation of Multiscale Stochastic Chemical Kinetics
- Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications
- Posterior consistency for Gaussian process approximations of Bayesian posterior distributions
- Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools
- On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations
- The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation
- An Adaptive Parareal Algorithm: Application to the Simulation of Molecular Dynamics Trajectories
- Probabilistic Numerics
- Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization
- Symmetric parareal algorithms for Hamiltonian systems
- Advanced Lectures on Machine Learning
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Convergent iterative schemes for time parallelization
- Scattered Data Approximation
- Parareal computation of stochastic differential equations with time-scale separation: a numerical convergence study
- Applications of time parallelization
- Parallel-in-time integration of kinematic dynamos
This page was built for publication: GParareal: a time-parallel ODE solver using Gaussian process emulation