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Numerische Mathematik最新文献

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Goal-oriented adaptive finite element methods with optimal computational complexity. 计算复杂度最优的目标导向自适应有限元方法
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2023-01-01 Epub Date: 2022-11-16 DOI: 10.1007/s00211-022-01334-8
Roland Becker, Gregor Gantner, Michael Innerberger, Dirk Praetorius
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引用次数: 0
Double exponential quadrature for fractional diffusion. 分数扩散的双指数正交。
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2023-01-01 DOI: 10.1007/s00211-022-01342-8
Alexander Rieder
{"title":"Double exponential quadrature for fractional diffusion.","authors":"Alexander Rieder","doi":"10.1007/s00211-022-01342-8","DOIUrl":"https://doi.org/10.1007/s00211-022-01342-8","url":null,"abstract":"<p><p>We introduce a novel discretization technique for both elliptic and parabolic fractional diffusion problems based on double exponential quadrature formulas and the Riesz-Dunford functional calculus. Compared to related schemes, the new method provides faster convergence with fewer parameters that need to be adjusted to the problem. The scheme takes advantage of any additional smoothness in the problem without requiring a-priori knowledge to tune parameters appropriately. We prove rigorous convergence results for both, the case of finite regularity data as well as for data in certain Gevrey-type classes. We confirm our findings with numerical tests.</p>","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"153 2-3","pages":"359-410"},"PeriodicalIF":2.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9998606/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9472166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics 动态不可压缩磁流体力学混合FEM的新分析
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-12-29 DOI: 10.1007/s00211-022-01341-9
Huadong Gao, W. Qiu, Weiwei Sun
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引用次数: 1
Interpolation on the cubed sphere with spherical harmonics 具有球谐波的三次球上的插值
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-12-28 DOI: 10.1007/s00211-022-01340-w
Jean-Baptiste Bellet, M. Brachet, J. Croisille
{"title":"Interpolation on the cubed sphere with spherical harmonics","authors":"Jean-Baptiste Bellet, M. Brachet, J. Croisille","doi":"10.1007/s00211-022-01340-w","DOIUrl":"https://doi.org/10.1007/s00211-022-01340-w","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"153 1","pages":"249 - 278"},"PeriodicalIF":2.1,"publicationDate":"2022-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45406415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Two discretisations of the time-dependent Bingham problem 时变Bingham问题的两个离散化
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-12-26 DOI: 10.1007/s00211-022-01338-4
C. Carstensen, M. Schedensack
{"title":"Two discretisations of the time-dependent Bingham problem","authors":"C. Carstensen, M. Schedensack","doi":"10.1007/s00211-022-01338-4","DOIUrl":"https://doi.org/10.1007/s00211-022-01338-4","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"153 1","pages":"411-450"},"PeriodicalIF":2.1,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44745004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions 具有斜导数边界条件的Hamilton-Jacobi-Bellman方程的半拉格朗日格式
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-12-24 DOI: 10.1007/s00211-022-01336-6
Elisa Calzola, E. Carlini, Xavier Dupuis, Francisco J. Silva
{"title":"A semi-Lagrangian scheme for Hamilton–Jacobi–Bellman equations with oblique derivatives boundary conditions","authors":"Elisa Calzola, E. Carlini, Xavier Dupuis, Francisco J. Silva","doi":"10.1007/s00211-022-01336-6","DOIUrl":"https://doi.org/10.1007/s00211-022-01336-6","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"153 1","pages":"49-84"},"PeriodicalIF":2.1,"publicationDate":"2022-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42971572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Proximal linearization methods for Schatten p-quasi-norm minimization Schatten p-拟范数最小化的近似线性化方法
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-12-02 DOI: 10.1007/s00211-022-01335-7
Chao Zeng
{"title":"Proximal linearization methods for Schatten p-quasi-norm minimization","authors":"Chao Zeng","doi":"10.1007/s00211-022-01335-7","DOIUrl":"https://doi.org/10.1007/s00211-022-01335-7","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"153 1","pages":"213-248"},"PeriodicalIF":2.1,"publicationDate":"2022-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45350379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Publisher Correction to: On the numerical stability of linear barycentric rational interpolation 关于线性质心有理插值的数值稳定性
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-11-09 DOI: 10.1007/s00211-022-01330-y
Chiara Fuda, R. Campagna, K. Hormann
{"title":"Publisher Correction to: On the numerical stability of linear barycentric rational interpolation","authors":"Chiara Fuda, R. Campagna, K. Hormann","doi":"10.1007/s00211-022-01330-y","DOIUrl":"https://doi.org/10.1007/s00211-022-01330-y","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"152 1","pages":"787 - 788"},"PeriodicalIF":2.1,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45996944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions 应用于声学边界条件的非线性波动型方程的统一误差分析
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-10-31 DOI: 10.1007/s00211-022-01326-8
Jan Leibold
{"title":"A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions","authors":"Jan Leibold","doi":"10.1007/s00211-022-01326-8","DOIUrl":"https://doi.org/10.1007/s00211-022-01326-8","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"152 1","pages":"907-936"},"PeriodicalIF":2.1,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43242396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Nonnegative low rank tensor approximations with multidimensional image applications 具有多维图像应用的非负低秩张量近似
IF 2.1 2区 数学
Numerische Mathematik Pub Date : 2022-10-29 DOI: 10.1007/s00211-022-01328-6
Tai-Xiang Jiang, Michael K. Ng, Junjun Pan, Guang-Jing Song
{"title":"Nonnegative low rank tensor approximations with multidimensional image applications","authors":"Tai-Xiang Jiang, Michael K. Ng, Junjun Pan, Guang-Jing Song","doi":"10.1007/s00211-022-01328-6","DOIUrl":"https://doi.org/10.1007/s00211-022-01328-6","url":null,"abstract":"","PeriodicalId":49733,"journal":{"name":"Numerische Mathematik","volume":"153 1","pages":"141-170"},"PeriodicalIF":2.1,"publicationDate":"2022-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45464148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 9
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