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Aug, 2020
多尺度微分方程时间步进的分层深度学习
Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers
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Yuying Liu, J. Nathan Kutz, Steven L. Brunton
TL;DR
本文提出了一种基于深度神经网络的多尺度时间步进方案来数值模拟非线性微分方程的系统,解决了多时间尺度模型的数值模拟问题,同时提高了模拟的准确性和计算效率。
Abstract
nonlinear differential equations
rarely admit closed-form solutions, thus requiring numerical
time-stepping algorithms
to approximate solutions. Further, many systems characterized by multiscale physics exhibit d
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