A Fast Time-Stepping Strategy for Dynamical Systems Equipped with a Surrogate Model
DOI10.1137/20M1386281zbMath1492.65196arXiv2011.03688OpenAlexW3112623379MaRDI QIDQ5864692
Andrey A. Popov, Adrian Sandu, Arash Sarshar, Steven Roberts
Publication date: 8 June 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.03688
machine learningsurrogate modelreduced-order modelingmultirate time integrationgeneral-structure additive Runge-Kutta methods
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)
Uses Software
Cites Work
- A new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)
- Partitioned and implicit-explicit general linear methods for ordinary differential equations
- Multirate explicit Adams methods for time integration of conservation laws
- Multirate generalized additive Runge Kutta methods
- Multirate linear multistep methods
- A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation
- Multirate Runge-Kutta schemes for advection equations
- Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows
- Multiscale high-order/low-order (HOLO) algorithms and applications
- EPIRK-\(W\) and EPIRK-\(K\) time discretization methods
- Extrapolated multirate methods for differential equations with multiple time scales
- Implicit multirate GARK methods
- MFEM: a modular finite element methods library
- Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1
- Extended multirate infinitesimal step methods: derivation of order conditions
- Linearly implicit GARK schemes
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Multirate infinitesimal step methods for atmospheric flow simulation
- A finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the Ocean
- Extrapolation-based implicit-explicit general linear methods
- Multirate timestepping methods for hyperbolic conservation laws
- On HMM-like integrators and projective integration methods for systems with multiple time scales
- Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
- High Order Implicit-explicit General Linear Methods with Optimized Stability Regions
- A Class Of Implicit-Explicit Two-Step Runge--Kutta Methods
- A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Dynamic mode decomposition of numerical and experimental data
- Solving Ordinary Differential Equations I
- The heterogeneous multiscale method
- Split Runge-Kutta method for simultaneous equations
- Runge-Kutta Methods with Minimum Error Bounds
- The Reduced Basis Method for Incompressible Viscous Flow Calculations
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Numerical Solution of Systems of Ordinary Differential Equations Separated into Subsystems
- Symplectic Methods Based on Decompositions
- Design of High-Order Decoupled Multirate GARK Schemes
- Data-Driven Science and Engineering
- A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates
- Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation
- Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales
- Convergence Acceleration for Time-Dependent Parametric Multifidelity Models
- A Class of Multirate Infinitesimal GARK Methods
This page was built for publication: A Fast Time-Stepping Strategy for Dynamical Systems Equipped with a Surrogate Model