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PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations 随机微分方程的变分嵌入生成对抗网络
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2023-0044
Ruisong Gao, Yufeng Wang, Min Yang and Chuanjun Chen
{"title":"PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations","authors":"Ruisong Gao, Yufeng Wang, Min Yang and Chuanjun Chen","doi":"10.4208/nmtma.oa-2023-0044","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0044","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135095882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic Theory for the Circuit Envelope Analysis 电路包络分析的渐近理论
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2301-m2022-0208
Chunxiong Zheng, Xianwei Wen, Jinyu Zhang and Zhenya Zhou
{"title":"Asymptotic Theory for the Circuit Envelope Analysis","authors":"Chunxiong Zheng, Xianwei Wen, Jinyu Zhang and Zhenya Zhou","doi":"10.4208/jcm.2301-m2022-0208","DOIUrl":"https://doi.org/10.4208/jcm.2301-m2022-0208","url":null,"abstract":"Asymptotic theory for the circuit envelope analysis is developed in this paper. A typical feature of circuit envelope analysis is the existence of two significantly distinct timescales: one is the fast timescale of carrier wave, and the other is the slow timescale of modulation signal. We first perform pro forma asymptotic analysis for both the driven and autonomous systems. Then resorting to the Floquet theory of periodic operators, we make a rigorous justification for first-order asymptotic approximations. It turns out that these asymptotic results are valid at least on the slow timescale. To speed up the computation of asymptotic approximations, we propose a periodization technique, which renders the possibility of utilizing the NUFFT algorithm. Numerical experiments are presented, and the results validate the theoretical findings.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47375271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ODE-Based Multistep Schemes for Backward Stochastic Differential Equations 基于ode的倒向随机微分方程多步格式
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2023-0060
Shuixin Fang and Weidong Zhao
{"title":"ODE-Based Multistep Schemes for Backward Stochastic Differential Equations","authors":"Shuixin Fang and Weidong Zhao","doi":"10.4208/nmtma.oa-2023-0060","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0060","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds Hadamard流形上非扩展映射的riemanan惯性Mann算法
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2023-0039
Teng-Teng Yao, Xiao-Qing Jin and Zhi Zhao
{"title":"A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds","authors":"Teng-Teng Yao, Xiao-Qing Jin and Zhi Zhao","doi":"10.4208/nmtma.oa-2023-0039","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0039","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135144242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Low Rank and Total Variation Based Two-Phase Method for Image Deblurring with Salt-and-Pepper Impulse Noise 基于低秩和全变分的椒盐脉冲噪声图像去模糊两相方法
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2022-0190
Yuchao Tang, Shirong Deng and Tieyong Zeng
{"title":"Low Rank and Total Variation Based Two-Phase Method for Image Deblurring with Salt-and-Pepper Impulse Noise","authors":"Yuchao Tang, Shirong Deng and Tieyong Zeng","doi":"10.4208/nmtma.oa-2022-0190","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0190","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"32 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135145124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations 扩散方程三阶变步长BDF时间步进的离散能量分析
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2207-m2022-0020
Hong-lin Liao, Tao Tang null, Tao Zhou
{"title":"Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations","authors":"Hong-lin Liao, Tao Tang null, Tao Zhou","doi":"10.4208/jcm.2207-m2022-0020","DOIUrl":"https://doi.org/10.4208/jcm.2207-m2022-0020","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136177614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On Lagrange-Projection Schemes for Shallow Water Flows Over Movable Bottom with Suspended and Bedload Transport 具有悬浮和顺质输运的活动底浅水流的拉格朗日投影格式
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2023-0082
Alessia Del Grosso, Manuel J. Castro Díaz, Christophe Chalons and Tomás Morales de Luna
{"title":"On Lagrange-Projection Schemes for Shallow Water Flows Over Movable Bottom with Suspended and Bedload Transport","authors":"Alessia Del Grosso, Manuel J. Castro Díaz, Christophe Chalons and Tomás Morales de Luna","doi":"10.4208/nmtma.oa-2023-0082","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0082","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Trust-Region Method for Solving Truncated Complex Singular Value Decomposition 求解截断复奇异值分解的一种信任域方法
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2211-m2021-0043
Jiaofen Li, Lingchang Kong, Xuefeng Duan, Xuelin Zhou and Qilun Luo
{"title":"A Trust-Region Method for Solving Truncated Complex Singular Value Decomposition","authors":"Jiaofen Li, Lingchang Kong, Xuefeng Duan, Xuelin Zhou and Qilun Luo","doi":"10.4208/jcm.2211-m2021-0043","DOIUrl":"https://doi.org/10.4208/jcm.2211-m2021-0043","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135938138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows 拟牛顿Stokes流的混合间断Galerkin方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2211-m2021-0255
Y. Qian, Fei Wang and Wenjing Yan
{"title":"Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows","authors":"Y. Qian, Fei Wang and Wenjing Yan","doi":"10.4208/jcm.2211-m2021-0255","DOIUrl":"https://doi.org/10.4208/jcm.2211-m2021-0255","url":null,"abstract":"In this paper, we introduce and analyze an augmented mixed discontinuous Galerkin (MDG) method for a class of quasi-Newtonian Stokes flows. In the mixed formulation, the unknowns are strain rate, stress and velocity, which are approximated by a discontinuous piecewise polynomial triplet P S k +1 - P S k +1 - P k for k ≥ 0. Here, the discontinuous piecewise polynomial function spaces for the field of strain rate and the stress field are designed to be symmetric. In addition, the pressure is easily recovered through simple postprocessing. For the benefit of the analysis, we enrich the MDG scheme with the constitutive equation relating the stress and the strain rate, so that the well-posedness of the augmented formulation is obtained by a nonlinear functional analysis. For k ≥ 0, we get the optimal convergence order for the stress in broken H ( div )-norm and velocity in L 2 -norm. Furthermore, the error estimates of the strain rate and the stress in L 2 -norm, and the pressure in L 2 -norm are optimal under certain conditions. Finally, several numerical examples are given to show the performance of the augmented MDG method and verify the theoretical results. Numerical evidence is provided to show that the orders of convergence are sharp","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44270859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Low-Cost Optimization Approach for Solving Minimum Norm Linear Systems and Linear Least-Squares Problems 求解最小范数线性系统和线性最小二乘问题的低成本优化方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2301-m2021-0313
Debora Cores and Johanna Figueroa
{"title":"A Low-Cost Optimization Approach for Solving Minimum Norm Linear Systems and Linear Least-Squares Problems","authors":"Debora Cores and Johanna Figueroa","doi":"10.4208/jcm.2301-m2021-0313","DOIUrl":"https://doi.org/10.4208/jcm.2301-m2021-0313","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43089056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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