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Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise 分数阶噪声随机偏微分方程的弱逼近
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-05-01 DOI: 10.4208/jcm.2203-m2021-0194
Meng Cai, Siqing Wang
{"title":"Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise","authors":"Meng Cai, Siqing Wang","doi":"10.4208/jcm.2203-m2021-0194","DOIUrl":"https://doi.org/10.4208/jcm.2203-m2021-0194","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47595714","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
Extended Regularized Dual Averaging Methods for Stochastic Optimization 随机优化的扩展正则对偶平均方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-04-01 DOI: 10.4208/jcm.2210-m2021-0106
Jonathan W. Siegel and Jinchao Xu
{"title":"Extended Regularized Dual Averaging Methods for Stochastic Optimization","authors":"Jonathan W. Siegel and Jinchao Xu","doi":"10.4208/jcm.2210-m2021-0106","DOIUrl":"https://doi.org/10.4208/jcm.2210-m2021-0106","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45716207","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
Semi-Proximal Point Method for Nonsmooth Convex-Concave Minimax Optimization 非光滑凸凹极小极大优化的半近点法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-04-01 DOI: 10.4208/jcm.2301-m2022-0099
Yuhong Dai, Jiani Zhang
{"title":"Semi-Proximal Point Method for Nonsmooth Convex-Concave Minimax Optimization","authors":"Yuhong Dai, Jiani Zhang","doi":"10.4208/jcm.2301-m2022-0099","DOIUrl":"https://doi.org/10.4208/jcm.2301-m2022-0099","url":null,"abstract":"Minimax optimization problems are an important class of optimization problems arising from modern machine learning and traditional research areas. While there have been many numerical algorithms for solving smooth convex-concave minimax problems, numerical algorithms for nonsmooth convex-concave minimax problems are rare. This paper aims to develop an efficient numerical algorithm for a structured nonsmooth convex-concave minimax problem. A semi-proximal point method (SPP) is proposed, in which a quadratic convex-concave function is adopted for approximating the smooth part of the objective function and semi-proximal terms are added in each subproblem. This construction enables the subproblems at each iteration are solvable and even easily solved when the semiproximal terms are cleverly chosen. We prove the global convergence of our algorithm under mild assumptions, without requiring strong convexity-concavity condition. Under the locally metrical subregularity of the solution mapping, we prove that our algorithm has the linear rate of convergence. Preliminary numerical results are reported to verify the efficiency of our algorithm.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43697412","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
On Discrete Energy Dissipation of Maxwell’s Equations in a Cole-Cole Dispersive Medium 关于Cole-Cole散射介质中Maxwell方程的离散能量耗散
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-04-01 DOI: 10.4208/jcm.2210-m2021-0257
Baoli Yin, Yang Liu, Hong Zhang
{"title":"On Discrete Energy Dissipation of Maxwell’s Equations in a Cole-Cole Dispersive Medium","authors":"Baoli Yin, Yang Liu, Hong Zhang","doi":"10.4208/jcm.2210-m2021-0257","DOIUrl":"https://doi.org/10.4208/jcm.2210-m2021-0257","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44048569","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: 1
Multirate Time Iterative Scheme with Multiphysics Finite Element Method For a Nonlinear Poroelasticity 非线性多孔弹性体的多重物理有限元多速率时间迭代格式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-04-01 DOI: 10.4208/jcm.2207-m2021-0373
Zhi-hao Ge, Hairun Li and Tingting Li null
{"title":"Multirate Time Iterative Scheme with Multiphysics Finite Element Method For a Nonlinear Poroelasticity","authors":"Zhi-hao Ge, Hairun Li and Tingting Li null","doi":"10.4208/jcm.2207-m2021-0373","DOIUrl":"https://doi.org/10.4208/jcm.2207-m2021-0373","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44868346","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
Uniform Superconvergence Analysis of A Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors 两网格混合有限元法求解$D$-波超导体的时变双波问题的一致超收敛性分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2203-m2021-0058
Yan Shi
{"title":"Uniform Superconvergence Analysis of A Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors","authors":"Yan Shi","doi":"10.4208/jcm.2203-m2021-0058","DOIUrl":"https://doi.org/10.4208/jcm.2203-m2021-0058","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47912303","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
An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven By Additive White Noises 加性白噪声驱动下随机线性二阶边值问题的一种有效的有限差分方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2205-m2021-0346
Mahboub Baccouch
{"title":"An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven By Additive White Noises","authors":"Mahboub Baccouch","doi":"10.4208/jcm.2205-m2021-0346","DOIUrl":"https://doi.org/10.4208/jcm.2205-m2021-0346","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48509329","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
Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation 广义非线性Schrödinger方程的VEMs的无条件误差分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2207-m2022-0055
Meng Li, Jikun Chen
{"title":"Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation","authors":"Meng Li, Jikun Chen","doi":"10.4208/jcm.2207-m2022-0055","DOIUrl":"https://doi.org/10.4208/jcm.2207-m2022-0055","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47505205","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 Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions 具有动态边界条件的Cahn-Hilliard-Hele-Shaw系统的标量辅助变量（SAV）有限元数值格式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2205-m2021-0234
C. Yao, Feng Wang
{"title":"A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions","authors":"C. Yao, Feng Wang","doi":"10.4208/jcm.2205-m2021-0234","DOIUrl":"https://doi.org/10.4208/jcm.2205-m2021-0234","url":null,"abstract":"In this paper, we consider the Cahn-Hilliard-Hele-Shaw (CHHS) system with the dynamic boundary conditions, in which both the bulk and surface energy parts play important roles. The scalar auxiliary variable (SAV) approach is introduced for the physical system; the mass conservation and energy dissipation is proved for the CHHS system. Subsequently, a fully discrete SAV finite element scheme is proposed, with the mass conservation and energy dissipation laws established at a theoretical level. In addition, the convergence analysis and error estimate is provided for the proposed SAV numerical scheme.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46466936","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
Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation Riesz空间分数阶反应-色散方程的带状$M$-矩阵分裂预条件
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2203-m2020-0192
Shiping Tang, Aili Yang and Yujiang Wu
{"title":"Banded $M$-Matrix Splitting Preconditioner for Riesz Space Fractional Reaction-Dispersion Equation","authors":"Shiping Tang, Aili Yang and Yujiang Wu","doi":"10.4208/jcm.2203-m2020-0192","DOIUrl":"https://doi.org/10.4208/jcm.2203-m2020-0192","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42886423","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: 1
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