求解刚性问题的一类二阶显式一步法

J. Num. Math. Pub Date : 2005-09-01 DOI:10.1515/156939505774286120

P. Novati

{"title":"求解刚性问题的一类二阶显式一步法","authors":"P. Novati","doi":"10.1515/156939505774286120","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a new class of explicit one-step methods of order 2 that can be used for solving stiff problems. This class constitutes a generalization of the two-stage explicit Runge– Kutta methods, with the property of having an A-stability region that varies during the integration in accordance with the accuracy requirements. Some numerical experiments on classical stiff problems are presented.","PeriodicalId":342521,"journal":{"name":"J. Num. Math.","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A class of explicit one-step methods of order two for stiff problems\",\"authors\":\"P. Novati\",\"doi\":\"10.1515/156939505774286120\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce a new class of explicit one-step methods of order 2 that can be used for solving stiff problems. This class constitutes a generalization of the two-stage explicit Runge– Kutta methods, with the property of having an A-stability region that varies during the integration in accordance with the accuracy requirements. Some numerical experiments on classical stiff problems are presented.\",\"PeriodicalId\":342521,\"journal\":{\"name\":\"J. Num. Math.\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"J. Num. Math.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/156939505774286120\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Num. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/156939505774286120","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

本文介绍了一类新的可用于求解刚性问题的2阶显式一步法。该类是两阶段显式Runge - Kutta方法的推广，具有在积分过程中根据精度要求变化的a稳定区域的性质。给出了一些经典刚性问题的数值实验。

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 class of explicit one-step methods of order two for stiff problems

In this paper we introduce a new class of explicit one-step methods of order 2 that can be used for solving stiff problems. This class constitutes a generalization of the two-stage explicit Runge– Kutta methods, with the property of having an A-stability region that varies during the integration in accordance with the accuracy requirements. Some numerical experiments on classical stiff problems are presented.

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

J. Num. Math.

自引率

0.00%

发文量