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Computational Partial Differential Equations Using MATLAB®最新文献

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Finite Element Methods: Programming 有限元方法:编程
Computational Partial Differential Equations Using MATLAB® Pub Date : 2019-09-26 DOI: 10.1201/9780429266027-7
Jichun Li, Yitung Chen
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引用次数: 0
Finite Difference Methods for Parabolic Equations 抛物型方程的有限差分法
Computational Partial Differential Equations Using MATLAB® Pub Date : 2019-09-26 DOI: 10.1201/9780429266027-2
Jichun Li, Yitung Chen
{"title":"Finite Difference Methods for Parabolic Equations","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-2","DOIUrl":"https://doi.org/10.1201/9780429266027-2","url":null,"abstract":"(1)  ut −∆u = f in Ω× (0, T ), u = 0 on ∂Ω× (0, T ), u(·, 0) = u0 in Ω. Here u = u(x, t) is a function of spatial variable x ∈ Ω ⊂ R and time variable t ∈ (0, T ). The ending time T could be +∞. The Laplace operator ∆ is taking with respect to the spatial variable. For the simplicity of exposition, we consider only homogenous Dirichlet boundary condition and comment on the adaptation to Neumann and other type of boundary conditions. Besides the boundary condition on ∂Ω, we also need to assign the function value at time t = 0 which is called initial condition. For parabolic equations, the boundary ∂Ω× (0, T )∪Ω×{t = 0} is called the parabolic boundary. Therefore the initial condition can be also thought as a boundary condition.","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"27 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133426282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite Element Methods: Basic Theory 有限元方法:基础理论
Computational Partial Differential Equations Using MATLAB® Pub Date : 2019-09-26 DOI: 10.1201/9780429266027-6
Jichun Li, Yitung Chen
{"title":"Finite Element Methods: Basic Theory","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-6","DOIUrl":"https://doi.org/10.1201/9780429266027-6","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115403335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
High-Order Compact Difference Methods 高阶紧致差分方法
Computational Partial Differential Equations Using MATLAB® Pub Date : 2019-09-26 DOI: 10.1201/9780429266027-5
Jichun Li, Yitung Chen
{"title":"High-Order Compact Difference Methods","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-5","DOIUrl":"https://doi.org/10.1201/9780429266027-5","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123716849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Brief Overview of Partial Differential Equations 偏微分方程简介
Computational Partial Differential Equations Using MATLAB® Pub Date : 2019-09-26 DOI: 10.1201/9780429266027-1
Jichun Li, Yitung Chen
{"title":"Brief Overview of Partial Differential Equations","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-1","DOIUrl":"https://doi.org/10.1201/9780429266027-1","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127442574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Meshless Methods with Radial Basis Functions 径向基函数的无网格方法
Computational Partial Differential Equations Using MATLAB® Pub Date : 2019-09-26 DOI: 10.1201/9780429266027-10
Jichun Li, Yitung Chen
{"title":"Meshless Methods with Radial Basis Functions","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-10","DOIUrl":"https://doi.org/10.1201/9780429266027-10","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129489543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mixed Finite Element Methods 混合有限元法
Computational Partial Differential Equations Using MATLAB® Pub Date : 2019-09-26 DOI: 10.1201/9780429266027-8
Jichun Li, Yitung Chen
{"title":"Mixed Finite Element Methods","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-8","DOIUrl":"https://doi.org/10.1201/9780429266027-8","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127315154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite Element Methods for Electromagnetics 电磁学的有限元方法
Computational Partial Differential Equations Using MATLAB® Pub Date : 2008-10-20 DOI: 10.1201/9780429266027-9
Jichun Li, Yitung Chen
{"title":"Finite Element Methods for Electromagnetics","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-9","DOIUrl":"https://doi.org/10.1201/9780429266027-9","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114422386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 29
Other Meshless Methods 其他无网格方法
Computational Partial Differential Equations Using MATLAB® Pub Date : 2008-10-20 DOI: 10.1201/9780429266027-11
Jichun Li, Yitung Chen
{"title":"Other Meshless Methods","authors":"Jichun Li, Yitung Chen","doi":"10.1201/9780429266027-11","DOIUrl":"https://doi.org/10.1201/9780429266027-11","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125993523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite Difference Methods for Elliptic Equations 椭圆型方程的有限差分方法
Computational Partial Differential Equations Using MATLAB® Pub Date : 2008-10-20 DOI: 10.1007/978-3-540-88706-5_4
Jichun Li, Yitung Chen
{"title":"Finite Difference Methods for Elliptic Equations","authors":"Jichun Li, Yitung Chen","doi":"10.1007/978-3-540-88706-5_4","DOIUrl":"https://doi.org/10.1007/978-3-540-88706-5_4","url":null,"abstract":"","PeriodicalId":107191,"journal":{"name":"Computational Partial Differential Equations Using MATLAB®","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122560562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
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