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CSIAM Transactions on Applied Mathematics最新文献

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Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition Dirichlet边界条件下拉普拉斯方程的深Ritz方法
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0043
Chenguang Duan, Yuling Jiao, Yanming Lai, Xiliang Lu, Qimeng Quan, J. Yang
{"title":"Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition","authors":"Chenguang Duan, Yuling Jiao, Yanming Lai, Xiliang Lu, Qimeng Quan, J. Yang","doi":"10.4208/csiam-am.so-2021-0043","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0043","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":"41352828","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
Boundedness and Asymptotic Behavior in a 3D Keller-Segel-Stokes System Modeling Coral Fertilization with Nonlinear Diffusion and Rotation 非线性扩散和旋转珊瑚施肥模型三维Keller-Segel-Stocks系统的有界性和渐近性
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0041
Feng Dai null, Bin Liu
{"title":"Boundedness and Asymptotic Behavior in a 3D Keller-Segel-Stokes System Modeling Coral Fertilization with Nonlinear Diffusion and Rotation","authors":"Feng Dai null, Bin Liu","doi":"10.4208/csiam-am.so-2021-0041","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0041","url":null,"abstract":". This paper deals with the four-component Keller-Segel-Stokes model of coral fertilization in a bounded and smooth domain Ω ⊂ R 3 with zero-flux boundary for n , c , ρ and no-slip boundary for u , where m > 0, φ ∈ W 2, ∞ ( Ω ) , and S : ¯ Ω × [ 0, ∞ ) 2 → R 3 × 3 is given suffi-ciently smooth function such that | S ( x , n , c ) |≤ S 0 ( c )( n + 1 ) − α for all ( x , n , c ) ∈ ¯ Ω × [ 0, ∞ ) 2 with α ≥ 0 and some nondecreasing function S 0 : [ 0, ∞ ) 7→ [ 0, ∞ ) . It is shown that if m > 1 − α for 0 ≤ α ≤ 23 , or m ≥ 13 for α > 23 , then for any reasonably regular initial data, the corresponding initial-boundary value problem admits at least one globally bounded weak solution which stabilizes to the spatially homogeneous equilibrium ( n ∞ , ρ ∞ , ρ ∞ ,0 ) in an appropriate sense, where n ∞ : = 1 | Ω | (cid:8) R Ω n 0 − R Ω ρ 0 (cid:9) + and ρ ∞ : = 1 | Ω | (cid:8) R Ω ρ 0 − R Ω n 0 (cid:9) + . These results improve and extend previously known ones.","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":"48545260","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
Gradient Type Methods for Linear Hyperspectral Unmixing 线性高光谱解混合的梯度型方法
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0001
Fangfang Xu, Yating Wang, Yanyan Li, Lu Liu null, Tonghua Tian
{"title":"Gradient Type Methods for Linear Hyperspectral Unmixing","authors":"Fangfang Xu, Yating Wang, Yanyan Li, Lu Liu null, Tonghua Tian","doi":"10.4208/csiam-am.so-2021-0001","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0001","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":"46986089","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
Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method 超越Ritz-Galerkin方法理解深度学习求解偏微分方程的内隐偏差
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2020-0006
Jihong Wang, Z. Xu, Jiwei Zhang null, Yaoyu Zhang
{"title":"Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method","authors":"Jihong Wang, Z. Xu, Jiwei Zhang null, Yaoyu Zhang","doi":"10.4208/csiam-am.so-2020-0006","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2020-0006","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":"46812325","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
Weyl Almost Periodic Solutions in Distribution of Clifford-Valued Stochastic High-Order Hopfield Neural Networks with Delays on Time Scales 时间尺度上时滞clifford值随机高阶Hopfield神经网络分布的Weyl概周期解
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2022-0001
Yongkun Li null, Xiaoli Huang
{"title":"Weyl Almost Periodic Solutions in Distribution of Clifford-Valued Stochastic High-Order Hopfield Neural Networks with Delays on Time Scales","authors":"Yongkun Li null, Xiaoli Huang","doi":"10.4208/csiam-am.so-2022-0001","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2022-0001","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":"43646268","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
Spatiotemporal Dynamics in a Generalized Diffusive Population System of Natural Pinus Koraiensis with Time Delay 具有时滞的天然红松广义扩散种群系统的时空动态
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0033
Haicheng Liu, Bin Ge null, Ji-hong Shen
{"title":"Spatiotemporal Dynamics in a Generalized Diffusive Population System of Natural Pinus Koraiensis with Time Delay","authors":"Haicheng Liu, Bin Ge null, Ji-hong Shen","doi":"10.4208/csiam-am.so-2021-0033","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0033","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":"46443546","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
An Efficient and Unconditionally Energy Stable Fully Discrete Scheme for the Confined Ternary Blended Polymers Model 约束三元共混聚合物模型的一个有效且无条件能量稳定的完全离散格式
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0036
Guanghua Ji, Zhen Xu null, Yuqi Yang
{"title":"An Efficient and Unconditionally Energy Stable Fully Discrete Scheme for the Confined Ternary Blended Polymers Model","authors":"Guanghua Ji, Zhen Xu null, Yuqi Yang","doi":"10.4208/csiam-am.so-2021-0036","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0036","url":null,"abstract":". In this paper, we develop a fully discrete scheme to solve the confined ternary blended polymers (TBP) model with four order parameters based on the stabilized-scalar auxiliary variable (S-SAV) approach in time and the Fourier spectral method in space. Then, theoretical analysis is given for the scheme based on the back-ward differentiation formula. The unconditional energy stability and mass conserva-tion are derived. Rigorous error analysis is carried out to show that the fully discrete scheme converges with order O ( τ 2 + h m ) in the sense of the L 2 norm, where τ is the time step, h is the spatial step, and m is the regularity of the exact solution. Finally, some numerical results are given to demonstrate the theoretical analysis. Moreover, the phase separation of two kinds of polymer particles, namely, Ashura and Janus core-shell particles, is presented to show the morphological structures.","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":"42577141","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
On the Distance Cospectrality of Threshold Graphs 阈值图的距离共谱性
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0005
Zhenzhen Lou, Jianfeng Wang null, Qiongxiang Huang
{"title":"On the Distance Cospectrality of Threshold Graphs","authors":"Zhenzhen Lou, Jianfeng Wang null, Qiongxiang Huang","doi":"10.4208/csiam-am.so-2021-0005","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0005","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":"44836697","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
A Variational Model for Simultaneously Image Denoising and Luminance Adjustment 图像去噪与亮度调整同步的变分模型
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0037
Wei Wang null, Ruofan Liu
{"title":"A Variational Model for Simultaneously Image Denoising and Luminance Adjustment","authors":"Wei Wang null, Ruofan Liu","doi":"10.4208/csiam-am.so-2021-0037","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0037","url":null,"abstract":". In this paper, we propose and develop a saturation value total variation (SV-TV) regularization model for simultaneously image denoising and luminance adjustment. The idea is to propose a variational approach containing an energy functional to adjust the luminance between image patches, and the noise of the image can be removed. In the proposed model, we establish the adjustment term based on the concept of structure, luminance, and contrast similarity, and we make use of the SV-TV regularization to remove the noise simultaneously. We present an efficient and effective algorithm with convergence guaranteed to solve the proposed minimization model. Experimental results are presented to show the effectiveness of the proposed model compared with existing methods.","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":"48114496","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
Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations 微极Navier-Stokes方程的有效和无条件能量稳定格式
IF 1.3
CSIAM Transactions on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/csiam-am.so-2021-0008
Jie Shen null, Nan Zheng
{"title":"Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations","authors":"Jie Shen null, Nan Zheng","doi":"10.4208/csiam-am.so-2021-0008","DOIUrl":"https://doi.org/10.4208/csiam-am.so-2021-0008","url":null,"abstract":"We develop in this paper efficient numerical schemes for solving the micropolar Navier-Stokes equations by combining the SAV approach and pressure-correction method. Our firstand second-order semi-discrete schemes enjoy remarkable properties such as (i) unconditional energy stable with a modified energy, and (ii) only a sequence of decoupled linear equations with constant coefficients need to be solved at each time step. We also construct fully discrete versions of these schemes with a special spectral discretization which preserve the essential properties of the semi-discrete schemes. Numerical experiments are presented to validate the proposed schemes. AMS subject classifications: 65M12, 65M70, 35Q30, 76A05","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":"45428075","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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