Pub Date : 2024-07-01DOI: 10.4208/nmtma.oa-2024-0005
Alexander Meiners and Hannes Uecker
{"title":"Numerical Continuation and Bifurcation for Differential Geometric PDEs","authors":"Alexander Meiners and Hannes Uecker","doi":"10.4208/nmtma.oa-2024-0005","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2024-0005","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141712581","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}
Pub Date : 2024-07-01DOI: 10.4208/nmtma.oa-2024-0028
Kholmat M. Shadimetov and Dilshod M. Akhmedov
{"title":"Numerical Integration Formulas for Hypersingular Integrals","authors":"Kholmat M. Shadimetov and Dilshod M. Akhmedov","doi":"10.4208/nmtma.oa-2024-0028","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2024-0028","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141847321","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}
Pub Date : 2024-06-01DOI: 10.4208/nmtma.oa-2023-0149
Tao Sun and Hai-Wei Sun
{"title":"Splitting ADI Scheme for Fractional Laplacian Wave Equations","authors":"Tao Sun and Hai-Wei Sun","doi":"10.4208/nmtma.oa-2023-0149","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0149","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"89 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141278000","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}
Pub Date : 2024-06-01DOI: 10.4208/nmtma.oa-2023-0158
Gen Li, Zhihui Tu, Jian Lu, Chao Wang and Lixin Shen
{"title":"Multi-Dimensional Image Recovery via Self-Supervised Nonlinear Transform Based a Three-Directional Tensor Nuclear Norm","authors":"Gen Li, Zhihui Tu, Jian Lu, Chao Wang and Lixin Shen","doi":"10.4208/nmtma.oa-2023-0158","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0158","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"25 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141398141","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}
Pub Date : 2024-05-01DOI: 10.4208/nmtma.oa-2023-0113
Maoran Wang, Xingju Cai and Yongxin Chen
{"title":"Convergence Analysis of Split-Douglas-Rachford Algorithm and a Novel Preconditioned ADMM with an Improved Condition","authors":"Maoran Wang, Xingju Cai and Yongxin Chen","doi":"10.4208/nmtma.oa-2023-0113","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0113","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"9 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141051281","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}
Pub Date : 2024-05-01DOI: 10.4208/nmtma.oa-2024-0001
Mingqing Chen and Jianguo Huang
{"title":"An Extended Courant Element on a Polytope with Application in Approximating an Obstacle Problem","authors":"Mingqing Chen and Jianguo Huang","doi":"10.4208/nmtma.oa-2024-0001","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2024-0001","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"6 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141047239","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}
Pub Date : 2024-04-01DOI: 10.4208/nmtma.oa-2023-0135
Zhihui Tu, Shunda Chen, Jian Lu, Lin Li and Qingtang Jiang
{"title":"Non-Local and Fully Connected Tensor Network Decomposition for Remote Sensing Image Denoising","authors":"Zhihui Tu, Shunda Chen, Jian Lu, Lin Li and Qingtang Jiang","doi":"10.4208/nmtma.oa-2023-0135","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0135","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"320 15","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140779796","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}
Pub Date : 2024-04-01DOI: 10.4208/nmtma.oa-2023-0134
Yafei Xu and Weidong Zhao
{"title":"Richardson Extrapolation of the Euler Scheme for Backward Stochastic Differential Equations","authors":"Yafei Xu and Weidong Zhao","doi":"10.4208/nmtma.oa-2023-0134","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0134","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"299 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140775471","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}
Pub Date : 2024-04-01DOI: 10.4208/nmtma.oa-2023-0133
Jiacheng Li, Min Yang and Chuanjun Chen
{"title":"Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization","authors":"Jiacheng Li, Min Yang and Chuanjun Chen","doi":"10.4208/nmtma.oa-2023-0133","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0133","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"73 45","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140794585","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}
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