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Optimal approximation of spherical squares by tensor product quadratic Bézier patches 用张量积二次bsamzier补片逼近球方的最优逼近
Appl. Math. Comput. Pub Date : 2023-03-08 DOI: 10.48550/arXiv.2303.04434
A. Vavpetic, Emil Žagar
{"title":"Optimal approximation of spherical squares by tensor product quadratic Bézier patches","authors":"A. Vavpetic, Emil Žagar","doi":"10.48550/arXiv.2303.04434","DOIUrl":"https://doi.org/10.48550/arXiv.2303.04434","url":null,"abstract":"In [1], the author considered the problem of the optimal approximation of symmetric surfaces by biquadratic B'ezier patches. Unfortunately, the results therein are incorrect, which is shown in this paper by considering the optimal approximation of spherical squares. A detailed analysis and a numerical algorithm are given, providing the best approximant according to the (simplified) radial error, which differs from the one obtained in [1]. The sphere is then approximated by the continuous spline of two and six tensor product quadratic B'ezier patches. It is further shown that the $G^1$ smooth spline of six patches approximating the sphere exists, but it is not a good approximation. The problem of an approximation of spherical rectangles is also addressed and numerical examples indicate that several optimal approximants might exist in some cases, making the problem extremely difficult to handle. Finally, numerical examples are provided that confirm theoretical results.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"79 1","pages":"128196"},"PeriodicalIF":0.0,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82493698","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
Investigation of chaotic resonance in Type-I and Type-II Morris-Lecar neurons i型和ii型Morris-Lecar神经元混沌共振的研究
Appl. Math. Comput. Pub Date : 2023-01-01 DOI: 10.2139/ssrn.4291549
Veli Baysal, R. Solmaz, Jun Ma
{"title":"Investigation of chaotic resonance in Type-I and Type-II Morris-Lecar neurons","authors":"Veli Baysal, R. Solmaz, Jun Ma","doi":"10.2139/ssrn.4291549","DOIUrl":"https://doi.org/10.2139/ssrn.4291549","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"1 1","pages":"127940"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73405412","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: 4
Rayleigh-type wave propagation in exponentially graded initially stressed composite structure resting on rigid and yielding foundations 刚性屈服基础上指数梯度初应力复合结构的瑞利型波传播
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127421
S. Saha, A. Singh, A. Chattopadhyay
{"title":"Rayleigh-type wave propagation in exponentially graded initially stressed composite structure resting on rigid and yielding foundations","authors":"S. Saha, A. Singh, A. Chattopadhyay","doi":"10.1016/j.amc.2022.127421","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127421","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"125 1","pages":"127421"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73261023","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
Fault detection filtering for MNNs with dynamic quantization and improved protocol 基于动态量化和改进协议的mnn故障检测滤波
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127460
An Lin, Jun Cheng, Jinde Cao, Hailing Wang, A. Alsaedi
{"title":"Fault detection filtering for MNNs with dynamic quantization and improved protocol","authors":"An Lin, Jun Cheng, Jinde Cao, Hailing Wang, A. Alsaedi","doi":"10.1016/j.amc.2022.127460","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127460","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"13 1","pages":"127460"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82498777","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
Numerical solutions of the Allen-Cahn equation with the p-Laplacian 带p-拉普拉斯的Allen-Cahn方程的数值解
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127435
Dongsun Lee, Chaeyoung Lee
{"title":"Numerical solutions of the Allen-Cahn equation with the p-Laplacian","authors":"Dongsun Lee, Chaeyoung Lee","doi":"10.1016/j.amc.2022.127435","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127435","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"12 1","pages":"127435"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75182742","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
Backstepping control for fractional discrete-time systems 分数阶离散时间系统的反演控制
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127450
Yuwu Yao, Libing Wu
{"title":"Backstepping control for fractional discrete-time systems","authors":"Yuwu Yao, Libing Wu","doi":"10.1016/j.amc.2022.127450","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127450","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"20 1","pages":"127450"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82194825","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
Relaxed observer-based stabilization and dissipativity conditions of T-S fuzzy systems with nonhomogeneous Markov jumps via non-PDC scheme 非pdc格式下非齐次马尔可夫跳变T-S模糊系统的松弛观测器镇定和耗散条件
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127455
W. Lee, B. Park, S. Kim
{"title":"Relaxed observer-based stabilization and dissipativity conditions of T-S fuzzy systems with nonhomogeneous Markov jumps via non-PDC scheme","authors":"W. Lee, B. Park, S. Kim","doi":"10.1016/j.amc.2022.127455","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127455","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"46 1","pages":"127455"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90808652","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: 4
Effect of higher-order interactions on synchronization of neuron models with electromagnetic induction 高阶相互作用对电磁感应神经元模型同步的影响
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127447
Mohanasubha Ramasamy, Subhasri Devarajan, S. Kumarasamy, K. Rajagopal
{"title":"Effect of higher-order interactions on synchronization of neuron models with electromagnetic induction","authors":"Mohanasubha Ramasamy, Subhasri Devarajan, S. Kumarasamy, K. Rajagopal","doi":"10.1016/j.amc.2022.127447","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127447","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"15 1","pages":"127447"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84262816","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: 7
Event-triggered adaptive neural command-filter-based dynamic surface control for state constrained nonlinear systems 基于事件触发自适应神经命令滤波的状态约束非线性系统动态面控制
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127440
Yunjie Hua, Tianping Zhang, X. Xia
{"title":"Event-triggered adaptive neural command-filter-based dynamic surface control for state constrained nonlinear systems","authors":"Yunjie Hua, Tianping Zhang, X. Xia","doi":"10.1016/j.amc.2022.127440","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127440","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"1 1","pages":"127440"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90116174","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
The dynamical functional particle method for multi-term linear matrix equations 多项线性矩阵方程的动态泛函粒子法
Appl. Math. Comput. Pub Date : 2022-12-01 DOI: 10.1016/j.amc.2022.127458
Andrii Dmytryshyn, M. Fasi, M. Gulliksson
{"title":"The dynamical functional particle method for multi-term linear matrix equations","authors":"Andrii Dmytryshyn, M. Fasi, M. Gulliksson","doi":"10.1016/j.amc.2022.127458","DOIUrl":"https://doi.org/10.1016/j.amc.2022.127458","url":null,"abstract":"","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"19 1","pages":"127458"},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87439865","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
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