发布求助
文献互助 智能选刊 最新文献

BIT Numerical Mathematics最新文献

筛选
英文 中文
Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds 紧黎曼流形上高斯随机场的Galerkin-Chebyshev逼近
3区 数学
BIT Numerical Mathematics Pub Date : 2023-10-11 DOI: 10.1007/s10543-023-00986-8
Annika Lang, Mike Pereira
{"title":"Galerkin–Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds","authors":"Annika Lang, Mike Pereira","doi":"10.1007/s10543-023-00986-8","DOIUrl":"https://doi.org/10.1007/s10543-023-00986-8","url":null,"abstract":"Abstract A new numerical approximation method for a class of Gaussian random fields on compact connected oriented Riemannian manifolds is introduced. This class of random fields is characterized by the Laplace–Beltrami operator on the manifold. A Galerkin approximation is combined with a polynomial approximation using Chebyshev series. This so-called Galerkin–Chebyshev approximation scheme yields efficient and generic sampling algorithms for Gaussian random fields on manifolds. Strong and weak orders of convergence for the Galerkin approximation and strong convergence orders for the Galerkin–Chebyshev approximation are shown and confirmed through numerical experiments.","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136098688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
On the Forsythe conjecture 关于福赛斯猜想
3区 数学
BIT Numerical Mathematics Pub Date : 2023-09-27 DOI: 10.1007/s10543-023-00991-x
Vance Faber, Jörg Liesen, Petr Tichý
{"title":"On the Forsythe conjecture","authors":"Vance Faber, Jörg Liesen, Petr Tichý","doi":"10.1007/s10543-023-00991-x","DOIUrl":"https://doi.org/10.1007/s10543-023-00991-x","url":null,"abstract":"Abstract Forsythe formulated a conjecture about the asymptotic behavior of the restarted conjugate gradient method in 1968. We translate several of his results into modern terms, and pose an analogous version of the conjecture (originally formulated only for symmetric positive definite matrices) for symmetric and nonsymmetric matrices. Our version of the conjecture uses a two-sided or cross iteration with the given matrix and its transpose, which is based on the projection process used in the Arnoldi (or for symmetric matrices the Lanczos) algorithm. We prove several new results about the limiting behavior of this iteration, but the conjecture still remains largely open. We hope that our paper motivates further research that eventually leads to a proof of the conjecture.","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135579786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deep neural networks on diffeomorphism groups for optimal shape reparametrization 差分同构群上最优形状再参数化的深度神经网络
3区 数学
BIT Numerical Mathematics Pub Date : 2023-09-27 DOI: 10.1007/s10543-023-00989-5
Elena Celledoni, Helge Glöckner, Jørgen N. Riseth, Alexander Schmeding
{"title":"Deep neural networks on diffeomorphism groups for optimal shape reparametrization","authors":"Elena Celledoni, Helge Glöckner, Jørgen N. Riseth, Alexander Schmeding","doi":"10.1007/s10543-023-00989-5","DOIUrl":"https://doi.org/10.1007/s10543-023-00989-5","url":null,"abstract":"","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135536219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Paige’s Algorithm for solving a class of tensor least squares problem 求解一类张量最小二乘问题的Paige算法
3区 数学
BIT Numerical Mathematics Pub Date : 2023-09-20 DOI: 10.1007/s10543-023-00990-y
Xue-Feng Duan, Yong-Shen Zhang, Qing-Wen Wang, Chun-Mei Li
{"title":"Paige’s Algorithm for solving a class of tensor least squares problem","authors":"Xue-Feng Duan, Yong-Shen Zhang, Qing-Wen Wang, Chun-Mei Li","doi":"10.1007/s10543-023-00990-y","DOIUrl":"https://doi.org/10.1007/s10543-023-00990-y","url":null,"abstract":"","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136308933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations 时谐麦克斯韦方程组的非仿射网格稳定有限元法
3区 数学
BIT Numerical Mathematics Pub Date : 2023-09-19 DOI: 10.1007/s10543-023-00988-6
Zhijie Du, Huoyuan Duan
{"title":"A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations","authors":"Zhijie Du, Huoyuan Duan","doi":"10.1007/s10543-023-00988-6","DOIUrl":"https://doi.org/10.1007/s10543-023-00988-6","url":null,"abstract":"","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135015019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality 一类Navier-Stokes半分不等式的稳定低阶混合有限元方法
3区 数学
BIT Numerical Mathematics Pub Date : 2023-09-16 DOI: 10.1007/s10543-023-00985-9
Weimin Han, Feifei Jing, Yuan Yao
{"title":"Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality","authors":"Weimin Han, Feifei Jing, Yuan Yao","doi":"10.1007/s10543-023-00985-9","DOIUrl":"https://doi.org/10.1007/s10543-023-00985-9","url":null,"abstract":"","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135306078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Resolving entropy growth from iterative methods 用迭代法求解熵增长
3区 数学
BIT Numerical Mathematics Pub Date : 2023-09-15 DOI: 10.1007/s10543-023-00992-w
Viktor Linders, Hendrik Ranocha, Philipp Birken
{"title":"Resolving entropy growth from iterative methods","authors":"Viktor Linders, Hendrik Ranocha, Philipp Birken","doi":"10.1007/s10543-023-00992-w","DOIUrl":"https://doi.org/10.1007/s10543-023-00992-w","url":null,"abstract":"Abstract We consider entropy conservative and dissipative discretizations of nonlinear conservation laws with implicit time discretizations and investigate the influence of iterative methods used to solve the arising nonlinear equations. We show that Newton’s method can turn an entropy dissipative scheme into an anti-dissipative one, even when the iteration error is smaller than the time integration error. We explore several remedies, of which the most performant is a relaxation technique, originally designed to fix entropy errors in time integration methods. Thus, relaxation works well in consort with iterative solvers, provided that the iteration errors are on the order of the time integration method. To corroborate our findings, we consider Burgers’ equation and nonlinear dispersive wave equations. We find that entropy conservation results in more accurate numerical solutions than non-conservative schemes, even when the tolerance is an order of magnitude larger.","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135436731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Parallel line identification for line-implicit-solvers 直线隐式求解器的平行线辨识
IF 1.5 3区 数学
BIT Numerical Mathematics Pub Date : 2023-09-09 DOI: 10.1007/s10543-023-00977-9
Arne Rempke
{"title":"Parallel line identification for line-implicit-solvers","authors":"Arne Rempke","doi":"10.1007/s10543-023-00977-9","DOIUrl":"https://doi.org/10.1007/s10543-023-00977-9","url":null,"abstract":"","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44485019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations 抛物型方程变步长时间滤波后向欧拉格式的稳定性和收敛性
IF 1.5 3区 数学
BIT Numerical Mathematics Pub Date : 2023-07-03 DOI: 10.1007/s10543-023-00982-y
Hong-lin Liao, T. Tang, Tao Zhou
{"title":"Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations","authors":"Hong-lin Liao, T. Tang, Tao Zhou","doi":"10.1007/s10543-023-00982-y","DOIUrl":"https://doi.org/10.1007/s10543-023-00982-y","url":null,"abstract":"","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":" ","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43668320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multilevel Monte Carlo using approximate distributions of the CIR process 多层蒙特卡罗使用近似分布的CIR过程
IF 1.5 3区 数学
BIT Numerical Mathematics Pub Date : 2023-06-01 DOI: 10.1007/s10543-023-00980-0
C. Zheng
{"title":"Multilevel Monte Carlo using approximate distributions of the CIR process","authors":"C. Zheng","doi":"10.1007/s10543-023-00980-0","DOIUrl":"https://doi.org/10.1007/s10543-023-00980-0","url":null,"abstract":"","PeriodicalId":55351,"journal":{"name":"BIT Numerical Mathematics","volume":"63 1","pages":"1-39"},"PeriodicalIF":1.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48347427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信