{"title":"基于蒙特卡罗算法的偏微分方程解的深度神经网络逼近","authors":"P. Grohs, Arnulf Jentzen, Diyora Salimova","doi":"10.1007/s42985-021-00100-z","DOIUrl":null,"url":null,"abstract":"","PeriodicalId":74818,"journal":{"name":"SN partial differential equations and applications","volume":"13 11 1","pages":"1-41"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"35","resultStr":"{\"title\":\"Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms\",\"authors\":\"P. Grohs, Arnulf Jentzen, Diyora Salimova\",\"doi\":\"10.1007/s42985-021-00100-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\",\"PeriodicalId\":74818,\"journal\":{\"name\":\"SN partial differential equations and applications\",\"volume\":\"13 11 1\",\"pages\":\"1-41\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"35\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SN partial differential equations and applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s42985-021-00100-z\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SN partial differential equations and applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s42985-021-00100-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}