Pub Date : 2024-04-01DOI: 10.4208/nmtma.oa-2023-0094
Jingtang Ma, Jianjun Ma and Haofei Wu
{"title":"Penalized Schemes for Hamilton-Jacobi-Bellman Quasi-Variational Inequalities Arising in Regime Switching Utility Maximization with Optimal Stopping","authors":"Jingtang Ma, Jianjun Ma and Haofei Wu","doi":"10.4208/nmtma.oa-2023-0094","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0094","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"514 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140791199","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-2023-0108
Li Ma, Hongfei Fu, Bingyin Zhang and Shusen Xie
{"title":"A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis","authors":"Li Ma, Hongfei Fu, Bingyin Zhang and Shusen Xie","doi":"10.4208/nmtma.oa-2023-0108","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0108","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"8 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140785206","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 : 2024-03-01DOI: 10.4208/nmtma.oa-2023-0091
Wenli Yang, Zhongyi Huang and Wei Zhu
{"title":"Fusing Infrared and Visible Images via a First-Order Model","authors":"Wenli Yang, Zhongyi Huang and Wei Zhu","doi":"10.4208/nmtma.oa-2023-0091","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0091","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"30 26","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140082767","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 : 2024-01-01DOI: 10.4208/nmtma.oa-2023-0048
Yabing Sun, Jie Yang and Weidong Zhao
{"title":"An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps","authors":"Yabing Sun, Jie Yang and Weidong Zhao","doi":"10.4208/nmtma.oa-2023-0048","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0048","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"89 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139538517","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 : 2024-01-01DOI: 10.4208/nmtma.oa-2023-0088
Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao and Kun Wang
{"title":"Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations","authors":"Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao and Kun Wang","doi":"10.4208/nmtma.oa-2023-0088","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0088","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"25 97","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139639081","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 : 2024-01-01DOI: 10.4208/nmtma.oa-2023-0071
Yu Xiong, Yanping Chen, Jianwei Zhou and Qin Liang
{"title":"Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes","authors":"Yu Xiong, Yanping Chen, Jianwei Zhou and Qin Liang","doi":"10.4208/nmtma.oa-2023-0071","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0071","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"77 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139538575","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 : 2024-01-01DOI: 10.4208/nmtma.oa-2023-0109
Yizhong Sun, Jiangshan Wang and Haibiao Zheng
{"title":"Novel Partitioned Time-Stepping Algorithms for Fast Computation of Random Interface-Coupled Problems with Uncertain Parameters","authors":"Yizhong Sun, Jiangshan Wang and Haibiao Zheng","doi":"10.4208/nmtma.oa-2023-0109","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0109","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"17 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139637798","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 : 2023-12-01DOI: 10.4208/nmtma.oa-2023-0081
Zhen Miao, Bin Wang and Yaolin Jiang
{"title":"Energy-Preserving Parareal-RKN Algorithms for Hamiltonian Systems","authors":"Zhen Miao, Bin Wang and Yaolin Jiang","doi":"10.4208/nmtma.oa-2023-0081","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0081","url":null,"abstract":"","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"33 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139188849","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 : 2023-12-01DOI: 10.4208/nmtma.oa-2023-0065
R. Erfanifar, Masoud Hajarian and Khosro Sayevand
. This study aims to investigate the polar decomposition of tensors with the Einstein product for the first time. The polar decomposition of tensors can be computed using the singular value decomposition of the tensors with the Einstein product. In the following, some iterative methods for finding the polar decomposition of matrices have been developed into iterative methods to compute the polar decomposition of tensors. Then, we propose a novel parametric iterative method to find the polar decomposition of tensors. Under the obtained conditions, we prove that the proposed parametric method has the order of convergence four. In every iteration of the proposed method, only four Einstein products are required, while other iterative methods need to calculate multiple Einstein products and one tensor inversion in each iteration. Thus, the new method is superior in terms of efficiency index. Finally, the numerical comparisons performed among several well-known methods, show that the proposed method is remarkably efficient and accurate.
{"title":"On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method","authors":"R. Erfanifar, Masoud Hajarian and Khosro Sayevand","doi":"10.4208/nmtma.oa-2023-0065","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0065","url":null,"abstract":". This study aims to investigate the polar decomposition of tensors with the Einstein product for the first time. The polar decomposition of tensors can be computed using the singular value decomposition of the tensors with the Einstein product. In the following, some iterative methods for finding the polar decomposition of matrices have been developed into iterative methods to compute the polar decomposition of tensors. Then, we propose a novel parametric iterative method to find the polar decomposition of tensors. Under the obtained conditions, we prove that the proposed parametric method has the order of convergence four. In every iteration of the proposed method, only four Einstein products are required, while other iterative methods need to calculate multiple Einstein products and one tensor inversion in each iteration. Thus, the new method is superior in terms of efficiency index. Finally, the numerical comparisons performed among several well-known methods, show that the proposed method is remarkably efficient and accurate.","PeriodicalId":507110,"journal":{"name":"Numerical Mathematics: Theory, Methods and Applications","volume":"54 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139193122","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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