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CSIAM Transactions on Applied Mathematics最新文献

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A Priori Bounds for Elastic Scattering by Deterministic and Random Unbounded Rough Surfaces 确定性和随机无界粗糙表面弹性散射的先验界
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2023-02-25 DOI: 10.4208/csiam-am.so-2023-0001
Tianjiao Wang, Yi-Jhou Lin, Xiang-Yang Xu
{"title":"A Priori Bounds for Elastic Scattering by Deterministic and Random Unbounded Rough Surfaces","authors":"Tianjiao Wang, Yi-Jhou Lin, Xiang-Yang Xu","doi":"10.4208/csiam-am.so-2023-0001","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2023-0001","url":null,"abstract":"This paper investigates the elastic scattering by unbounded deterministic and random rough surfaces, which both are assumed to be graphs of Lipschitz continuous functions. For the deterministic case, an a priori bound explicitly dependent on frequencies is derived by the variational approach. For the scattering by random rough surfaces with a random source, well-posedness of the corresponding variation problem is proved. Moreover, a similar bound with explicit dependence on frequencies for the random case is also established based upon the deterministic result, Pettis measurability theorem and Bochner's integrability Theorem.","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43638477","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
Radial Transonic Shock Solutions to Euler-Poisson System with Varying Background Charge in an Annulus 环空中背景电荷变化的欧拉-泊松系统径向跨音速激波解
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4208/csiam-am.so-2022-0007
Ben Duan, Zhen Luo null, Yu-Hang Xing
{"title":"Radial Transonic Shock Solutions to Euler-Poisson System with Varying Background Charge in an Annulus","authors":"Ben Duan, Zhen Luo null, Yu-Hang Xing","doi":"10.4208/csiam-am.so-2022-0007","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2022-0007","url":null,"abstract":"","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516494","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
Some Exact Results on 4-Cycles: Stability and Supersaturation 关于4循环的一些精确结果:稳定性和过饱和
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4208/csiam-am.so-2021-0006
Jialin He, Jie Ma null, Tianchi Yang
{"title":"Some Exact Results on 4-Cycles: Stability and Supersaturation","authors":"Jialin He, Jie Ma null, Tianchi Yang","doi":"10.4208/csiam-am.so-2021-0006","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0006","url":null,"abstract":"","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516401","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 Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication 一种理论上完整的数控减法加工曲面分割方法
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4208/csiam-am.so-2022-0032
Hongchen Ma, Chunzhi Yuan, L. Shen, Yifei Feng
{"title":"A Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication","authors":"Hongchen Ma, Chunzhi Yuan, L. Shen, Yifei Feng","doi":"10.4208/csiam-am.so-2022-0032","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2022-0032","url":null,"abstract":"","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70517012","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
Iterative Runge-Kutta-Type Methods with Convex Penalty for Inverse Problems in Hilbert Spaces Hilbert空间逆问题的凸惩罚迭代龙格-库塔方法
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4208/csiam-am.so-2022-0012
Shanshan Tong, Wei Wang, Zhenwu Fu, Bo Han
{"title":"Iterative Runge-Kutta-Type Methods with Convex Penalty for Inverse Problems in Hilbert Spaces","authors":"Shanshan Tong, Wei Wang, Zhenwu Fu, Bo Han","doi":"10.4208/csiam-am.so-2022-0012","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2022-0012","url":null,"abstract":"","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516953","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
Multitask Kernel-Learning Parameter Prediction Method for Solving Time-Dependent Linear Systems 求解时变线性系统的多任务核学习参数预测方法
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-08-31 DOI: 10.4208/csiam-am.so-2022-0049
Kai Jiang, Juan Zhang, Qishang Zhou
{"title":"Multitask Kernel-Learning Parameter Prediction Method for Solving Time-Dependent Linear Systems","authors":"Kai Jiang, Juan Zhang, Qishang Zhou","doi":"10.4208/csiam-am.so-2022-0049","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2022-0049","url":null,"abstract":"Matrix splitting iteration methods play a vital role in solving large sparse linear systems. Their performance heavily depends on the splitting parameters, however, the approach of selecting optimal splitting parameters has not been well developed. In this paper, we present a multitask kernel-learning parameter prediction method to automatically obtain relatively optimal splitting parameters, which contains simultaneous multiple parameters prediction and a data-driven kernel learning. For solving time-dependent linear systems, including linear differential systems and linear matrix systems, we give a new matrix splitting Kronecker product method, as well as its convergence analysis and preconditioning strategy. Numerical results illustrate our methods can save an enormous amount of time in selecting the relatively optimal splitting parameters compared with the exists methods. Moreover, our iteration method as a preconditioner can effectively accelerate GMRES. As the dimension of systems increases, all the advantages of our approaches becomes significantly. Especially, for solving the differential Sylvester matrix equation, the speedup ratio can reach tens to hundreds of times when the scale of the system is larger than one hundred thousand.","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44948823","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
Top Eigenpairs of Large Scale Matrices 大规模矩阵的上特征对
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.2021-0005
Mu-Fa Chen null, Rong-Rong Chen
{"title":"Top Eigenpairs of Large Scale Matrices","authors":"Mu-Fa Chen null, Rong-Rong Chen","doi":"10.4208/csiam-am.2021-0005","DOIUrl":"https://doi.org/10.4208/csiam-am.2021-0005","url":null,"abstract":"","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516392","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
An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media 随机非均质多孔介质中对流扩散输运特征建模方法的误差估计
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.2020-0216
Xiangcheng Zheng null, Hong Wang
{"title":"An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media","authors":"Xiangcheng Zheng null, Hong Wang","doi":"10.4208/csiam-am.2020-0216","DOIUrl":"https://doi.org/10.4208/csiam-am.2020-0216","url":null,"abstract":"","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43236440","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 Survey of Optimal Control Problems Evolved on Riemannian Manifolds 黎曼流形上演化的最优控制问题综述
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0018
Li Deng null, Xu Zhang
{"title":"A Survey of Optimal Control Problems Evolved on Riemannian Manifolds","authors":"Li Deng null, Xu Zhang","doi":"10.4208/csiam-am.so-2021-0018","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0018","url":null,"abstract":". In this paper, we present our optimality results on optimal control problems for ordinary differential equations on Riemannian manifolds. For the problems with free states at the terminal time, we obtain the first and second-order necessary conditions, dynamical programming principle, and their relations. Then, we consider the problems with the initial and final states satisfying some inequality-type and equality-type constraints, and establish the corresponding first and second-order necessary conditions of optimal pairs in the sense of either spike or convex variations. For each of the above results concerning second-order optimality conditions, the curvature tensor of the underlying manifold plays a crucial role.","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41947093","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
Relaxed Alternating Minimization Algorithm for Separable Convex Programming with Applications to Imaging 可分离凸规划的松弛交替最小化算法及其在成像中的应用
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0039
Shuangshuang Wu, Yuchao Tang null, T. Zeng
{"title":"Relaxed Alternating Minimization Algorithm for Separable Convex Programming with Applications to Imaging","authors":"Shuangshuang Wu, Yuchao Tang null, T. Zeng","doi":"10.4208/csiam-am.so-2021-0039","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0039","url":null,"abstract":"","PeriodicalId":29749,"journal":{"name":"CSIAM Transactions on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48761792","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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