Schwarz waveform relaxation-learning for advection-diffusion-reaction equations
DOI10.1016/j.jcp.2022.111657OpenAlexW4306742185MaRDI QIDQ2106899
Publication date: 29 November 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.02559
domain decompositionadvection-diffusion-reaction equationsSchwarz waveform relaxationphysics-informed neural network
Artificial intelligence (68Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Uses Software
Cites Work
- An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations
- A review of definitions for fractional derivatives and integral
- What is the fractional Laplacian? A comparative review with new results
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation
- On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation
- OPTIMIZED AND QUASI-OPTIMAL SCHWARZ WAVEFORM RELAXATION FOR THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION
- Large-Scale Machine Learning with Stochastic Gradient Descent
- An Introduction to Domain Decomposition Methods
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves
- Solving the quantum many-body problem with artificial neural networks
- DeepXDE: A Deep Learning Library for Solving Differential Equations
- Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations
- Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations
- fPINNs: Fractional Physics-Informed Neural Networks
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Optimized Schwarz Methods
- A Stochastic Approximation Method
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