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ETNA - Electronic Transactions on Numerical Analysis最新文献

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One-step convergence of inexact Anderson acceleration for contractive and non-contractive mappings 压缩和非压缩映射的非精确Anderson加速的一步收敛性
ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1553/etna_vol55s285
Fei Xue
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引用次数: 0
Biorthogonal rational Krylov subspace methods 双正交有理Krylov子空间方法
ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1553/etna_vol51s451
N. Buggenhout, M. Barel, R. Vandebril
{"title":"Biorthogonal rational Krylov subspace methods","authors":"N. Buggenhout, M. Barel, R. Vandebril","doi":"10.1553/etna_vol51s451","DOIUrl":"https://doi.org/10.1553/etna_vol51s451","url":null,"abstract":"","PeriodicalId":282695,"journal":{"name":"ETNA - Electronic Transactions on Numerical Analysis","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128069848","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: 5
The Levenberg–Marquardt regularization for the backward heat equation with fractional derivative 带分数阶导数的倒向热方程的Levenberg-Marquardt正则化
ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1553/etna_vol57s67
P. Pornsawad, C. Böckmann, Wannapa Panitsupakamon
{"title":"The Levenberg–Marquardt regularization for the backward heat equation with fractional derivative","authors":"P. Pornsawad, C. Böckmann, Wannapa Panitsupakamon","doi":"10.1553/etna_vol57s67","DOIUrl":"https://doi.org/10.1553/etna_vol57s67","url":null,"abstract":". The backward heat problem with time-fractional derivative in Caputo’s sense is studied. The inverse problem is severely ill-posed in the case when the fractional order is close to unity. A Levenberg–Marquardt method with a new a posteriori stopping rule is investigated. We show that optimal order can be obtained for the proposed method under a Hölder-type source condition. Numerical examples for one and two dimensions are provided.","PeriodicalId":282695,"journal":{"name":"ETNA - Electronic Transactions on Numerical Analysis","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116743672","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: 1
A product integration rule for hypersingular integrals on (0,+∞) (0，+∞)上超奇异积分的积积分规则
ETNA - Electronic Transactions on Numerical Analysis Pub Date : 1900-01-01 DOI: 10.1553/ETNA_VOL50S129
M. C. D. Bonis, D. Occorsio
{"title":"A product integration rule for hypersingular integrals on (0,+∞)","authors":"M. C. D. Bonis, D. Occorsio","doi":"10.1553/ETNA_VOL50S129","DOIUrl":"https://doi.org/10.1553/ETNA_VOL50S129","url":null,"abstract":"In the present paper we propose a product integration rule for hypersingular integrals on the positive semi-axis. The rule is based on an approximation of the density function f by a suitable truncated Lagrange polynomial. We discuss theoretical aspects by proving stability and convergence of the procedure for density functions f belonging to weighted uniform spaces. Moreover, we give some computational details for the effective construction of the rule coefficients. For the sake of completeness, we present some numerical tests that support the theoretical estimates and some comparisons with other numerical methods.","PeriodicalId":282695,"journal":{"name":"ETNA - Electronic Transactions on Numerical Analysis","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121629648","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: 3
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