Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN
Author:
Funder
EPSRC
Publisher
Elsevier BV
Subject
Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis
Reference24 articles.
1. Solving high-dimensional partial differential equations using deep learning;Han;Proc. Natl. Acad. Sci.,2018
2. Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations;Hutzenthaler;Proc. R. Soc. A,2020
3. A survey of deep learning methods and software tools for image classification and object detection;Druzhkov;Pattern Recognit. Image Anal.,2016
4. A primer on neural network models for natural language processing;Goldberg;J. Artif. Intell. Res.,2016
5. Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations;Raissi;J. Comput. Phys.,2019
Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Physics-specialized neural network with hard constraints for solving multi-material diffusion problems;Computer Methods in Applied Mechanics and Engineering;2024-10
2. NODE-ImgNet: A PDE-informed effective and robust model for image denoising;Pattern Recognition;2024-04
3. Weak adversarial networks for solving forward and inverse problems involving 2D incompressible Navier–Stokes equations;Computational and Applied Mathematics;2024-01-22
4. Adaptive multi-scale neural network with Resnet blocks for solving partial differential equations;Nonlinear Dynamics;2022-12-14
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3