Comput. Math. Appl.最新文献

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Einstein Heronian mean aggregation operator and its application in decision making problems Einstein Heronian均值聚集算子及其在决策问题中的应用
Comput. Math. Appl. Pub Date : 2022-01-01 DOI: 10.1007/s40314-022-01769-7
Anusha Vulimiri, Sireesha Veeramachaneni
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引用次数: 0
A general preconditioner accelerated SOR-type iterative method for multi-linear systems with $${mathcal {Z}}$$-tensors 具有$${mathcal {Z}}$$ -张量的多线性系统的一般预调节器加速sor型迭代方法
Comput. Math. Appl. Pub Date : 2021-12-26 DOI: 10.1007/s40314-021-01712-2
Lu-Bin Cui, Yu-Dong Fan, Yu Zheng
{"title":"A general preconditioner accelerated SOR-type iterative method for multi-linear systems with $${mathcal {Z}}$$-tensors","authors":"Lu-Bin Cui, Yu-Dong Fan, Yu Zheng","doi":"10.1007/s40314-021-01712-2","DOIUrl":"https://doi.org/10.1007/s40314-021-01712-2","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80954413","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
Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems 椭圆型问题的虚拟域$$H^1$$惩罚法误差估计
Comput. Math. Appl. Pub Date : 2021-12-26 DOI: 10.1007/s40314-021-01731-z
Swapnil Kale, D. Pradhan
{"title":"Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems","authors":"Swapnil Kale, D. Pradhan","doi":"10.1007/s40314-021-01731-z","DOIUrl":"https://doi.org/10.1007/s40314-021-01731-z","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77549450","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
Markov Chain Generative Adversarial Neural Networks for Solving Bayesian Inverse Problems in Physics Applications 马尔可夫链生成对抗神经网络在解决贝叶斯反问题中的物理应用
Comput. Math. Appl. Pub Date : 2021-11-24 DOI: 10.2139/ssrn.3991779
N. T. Mücke, B. Sanderse, Sander M. Boht'e, C. Oosterlee
{"title":"Markov Chain Generative Adversarial Neural Networks for Solving Bayesian Inverse Problems in Physics Applications","authors":"N. T. Mücke, B. Sanderse, Sander M. Boht'e, C. Oosterlee","doi":"10.2139/ssrn.3991779","DOIUrl":"https://doi.org/10.2139/ssrn.3991779","url":null,"abstract":"In the context of solving inverse problems for physics applications within a Bayesian framework, we present a new approach, Markov Chain Generative Adversarial Neural Networks (MCGANs), to alleviate the computational costs associated with solving the Bayesian inference problem. GANs pose a very suitable framework to aid in the solution of Bayesian inference problems, as they are designed to generate samples from complicated high-dimensional distributions. By training a GAN to sample from a low-dimensional latent space and then embedding it in a Markov Chain Monte Carlo method, we can highly efficiently sample from the posterior, by replacing both the high-dimensional prior and the expensive forward map. We prove that the proposed methodology converges to the true posterior in the Wasserstein-1 distance and that sampling from the latent space is equivalent to sampling in the high-dimensional space in a weak sense. The method is showcased on two test cases where we perform both state and parameter estimation simultaneously. The approach is shown to be up to two orders of magnitude more accurate than alternative approaches while also being up to two orders of magnitude computationally faster, in multiple test cases, including the important engineering setting of detecting leaks in pipelines.","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74783616","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
A posteriori $$L^{infty }(L^{infty })$$-error estimates for finite-element approximations to parabolic optimal control problems 抛物型最优控制问题有限元近似的后验$$L^{infty }(L^{infty })$$误差估计
Comput. Math. Appl. Pub Date : 2021-11-09 DOI: 10.1007/s40314-021-01682-5
R. Manohar, R. K. Sinha
{"title":"A posteriori $$L^{infty }(L^{infty })$$-error estimates for finite-element approximations to parabolic optimal control problems","authors":"R. Manohar, R. K. Sinha","doi":"10.1007/s40314-021-01682-5","DOIUrl":"https://doi.org/10.1007/s40314-021-01682-5","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81471693","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
$$(psi , phi )$$-Wardowski contraction pairs and some applications $$(psi , phi )$$-Wardowski收缩对和一些应用
Comput. Math. Appl. Pub Date : 2021-11-06 DOI: 10.1007/s40314-021-01679-0
A. Chanda, Hiranmoy Garai, L. Dey, V. Rakočević, T. Senapati
{"title":"$$(psi , phi )$$-Wardowski contraction pairs and some applications","authors":"A. Chanda, Hiranmoy Garai, L. Dey, V. Rakočević, T. Senapati","doi":"10.1007/s40314-021-01679-0","DOIUrl":"https://doi.org/10.1007/s40314-021-01679-0","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89715655","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: 0
Observer-based mixed $${{H}_{infty }/{text {passive}}}$$ adaptive sliding mode control for Semi-Markovian jump system with time-varying delay 时变时滞半马尔可夫跳变系统的观测器混合$${{H}_{infty }/{text {passive}}}$$自适应滑模控制
Comput. Math. Appl. Pub Date : 2021-10-27 DOI: 10.1007/s40314-021-01615-2
Zhiqi Wei, Huan Li, Yuechao Ma
{"title":"Observer-based mixed $${{H}_{infty }/{text {passive}}}$$ adaptive sliding mode control for Semi-Markovian jump system with time-varying delay","authors":"Zhiqi Wei, Huan Li, Yuechao Ma","doi":"10.1007/s40314-021-01615-2","DOIUrl":"https://doi.org/10.1007/s40314-021-01615-2","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83701432","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: 2
Special least squares solutions of the reduced biquaternion matrix equation $$AX=B$$ with applications 简化双四元数矩阵方程的特殊最小二乘解$$AX=B$$及其应用
Comput. Math. Appl. Pub Date : 2021-10-19 DOI: 10.1007/s40314-021-01641-0
W. Ding, Ying Li, Dong Wang
{"title":"Special least squares solutions of the reduced biquaternion matrix equation $$AX=B$$ with applications","authors":"W. Ding, Ying Li, Dong Wang","doi":"10.1007/s40314-021-01641-0","DOIUrl":"https://doi.org/10.1007/s40314-021-01641-0","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84255300","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: 6
$$C^1$$ interpolation splines over type-1 triangulations with shape parameters $$C^1$$ 带形状参数的1型三角形插值样条
Comput. Math. Appl. Pub Date : 2021-10-17 DOI: 10.1007/s40314-021-01664-7
X. Qin, Yuanpeng Zhu
{"title":"$$C^1$$ interpolation splines over type-1 triangulations with shape parameters","authors":"X. Qin, Yuanpeng Zhu","doi":"10.1007/s40314-021-01664-7","DOIUrl":"https://doi.org/10.1007/s40314-021-01664-7","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78185930","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: 0
Second-order optimality conditions for efficiency in $$C^{1, 1}$$-smooth quasiconvex multiobjective programming problem $$C^{1, 1}$$ -光滑拟凸多目标规划问题效率的二阶最优性条件
Comput. Math. Appl. Pub Date : 2021-08-26 DOI: 10.1007/s40314-021-01625-0
T. Su, D. Hang
{"title":"Second-order optimality conditions for efficiency in $$C^{1, 1}$$-smooth quasiconvex multiobjective programming problem","authors":"T. Su, D. Hang","doi":"10.1007/s40314-021-01625-0","DOIUrl":"https://doi.org/10.1007/s40314-021-01625-0","url":null,"abstract":"","PeriodicalId":10572,"journal":{"name":"Comput. Math. Appl.","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86132385","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
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