超立方体上求解高KdV方程的并行算法

Proceedings of the Fifth Distributed Memory Computing Conference, 1990. Pub Date : 1990-04-08 DOI:10.1109/DMCC.1990.555435

T. Taha

{"title":"超立方体上求解高KdV方程的并行算法","authors":"T. Taha","doi":"10.1109/DMCC.1990.555435","DOIUrl":null,"url":null,"abstract":"Taha and Ablowitz derived numerkal schemes by methods related to the inverse scattering bransform (IST) for phy;ically important equations such as the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (MKdV) equations. Experiments have shown that the IST numerical schemes compare very favorably with other numerical methods. In this paper an accurate numerical scheme based on the IST is used to solve non-integrable higher KdV equations, for instance:","PeriodicalId":204431,"journal":{"name":"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.","volume":"194 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A Parallel Algorithm for Solving Higher KdV Equations on a Hypercube\",\"authors\":\"T. Taha\",\"doi\":\"10.1109/DMCC.1990.555435\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Taha and Ablowitz derived numerkal schemes by methods related to the inverse scattering bransform (IST) for phy;ically important equations such as the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (MKdV) equations. Experiments have shown that the IST numerical schemes compare very favorably with other numerical methods. In this paper an accurate numerical scheme based on the IST is used to solve non-integrable higher KdV equations, for instance:\",\"PeriodicalId\":204431,\"journal\":{\"name\":\"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.\",\"volume\":\"194 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DMCC.1990.555435\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Fifth Distributed Memory Computing Conference, 1990.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DMCC.1990.555435","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

Taha和Ablowitz通过与逆散射变换(IST)相关的方法推导出物理上重要的方程(如Korteweg-de Vries (KdV)和修正Korteweg-de Vries (MKdV)方程)的数值格式。实验表明，IST数值格式与其他数值方法相比具有较好的优越性。本文采用基于IST的精确数值格式求解不可积高KdV方程，例如:

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Parallel Algorithm for Solving Higher KdV Equations on a Hypercube

Taha and Ablowitz derived numerkal schemes by methods related to the inverse scattering bransform (IST) for phy;ically important equations such as the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (MKdV) equations. Experiments have shown that the IST numerical schemes compare very favorably with other numerical methods. In this paper an accurate numerical scheme based on the IST is used to solve non-integrable higher KdV equations, for instance:

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the Fifth Distributed Memory Computing Conference, 1990.

自引率

0.00%

发文量