Numerical solution of elliptic partial differential equation using radial basis function neural networks
Author:
Publisher
Elsevier BV
Subject
Artificial Intelligence,Cognitive Neuroscience
Reference19 articles.
1. The Dirichlet problem for non-linear second order elliptic equations (1): Monge–Ampere equations;Caffarelli;Communication on Pure and Applied Mathematics,1987
2. On the regularity of the Monge–Ampere equation;Cheng;Communication on Pure and Applied Mathematics,1977
3. Approximation of continuous and discontinuous mappings by a growing neural RBF-based algorithm;Esposito;Neural Networks,2000
4. Convergence orders of meshless collocation methods using radial basis functions;Franke;Advances in Computational Mathematics,1997
5. Solving partial differential equations by collocation using radial basis functions;Franke;Applied Mathematics and Computation,1998
Cited by 96 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-informed kernel function neural networks for solving partial differential equations;Neural Networks;2024-04
2. Transient response of energy harvesting systems with multi-well potential under Poisson white noise excitations;International Journal of Non-Linear Mechanics;2023-10
3. Deep Learning and American Options via Free Boundary Framework;Computational Economics;2023-09-20
4. Learning the random variables in Monte Carlo simulations with stochastic gradient descent: Machine learning for parametric PDEs and financial derivative pricing;Mathematical Finance;2023-08-07
5. Physics-constrained neural networks with minimax architecture for multiphysics dendritic growth problems in additive manufacturing;Manufacturing Letters;2023-08
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