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Double Flip Move for Ising Models with Mixed Boundary Conditions 混合边界条件下Ising模型的双翻转运动
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2211-m2022-0186
Lexing Ying
{"title":"Double Flip Move for Ising Models with Mixed Boundary Conditions","authors":"Lexing Ying","doi":"10.4208/jcm.2211-m2022-0186","DOIUrl":"https://doi.org/10.4208/jcm.2211-m2022-0186","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"48 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":"135525293","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
Space-Time Decomposition of Kalman Filter 卡尔曼滤波的时空分解
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2022-0203
Luisa D'Amore
{"title":"Space-Time Decomposition of Kalman Filter","authors":"Luisa D'Amore","doi":"10.4208/nmtma.oa-2022-0203","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0203","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"33 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":"135144241","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
HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network 用神经网络求解椭圆界面问题的混合残差和弱形式损失
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2023-0097
Muzhou Hou, Yinghao Chen, Shen Cao, Yuntian Chen and Jinyong Ying
{"title":"HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network","authors":"Muzhou Hou, Yinghao Chen, Shen Cao, Yuntian Chen and Jinyong Ying","doi":"10.4208/nmtma.oa-2023-0097","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2023-0097","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"10 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":"135194756","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 New Global Optimization Algorithm for Mixed-Integer Quadratically Constrained Quadratic Fractional Programming Problem 混合整数二次约束二次分式规划问题的一种新的全局优化算法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-05-01 DOI: 10.4208/jcm.2210-m2021-0067
Bo Zhang, Yuelin Gao, Xia Huang
{"title":"A New Global Optimization Algorithm for Mixed-Integer Quadratically Constrained Quadratic Fractional Programming Problem","authors":"Bo Zhang, Yuelin Gao, Xia Huang","doi":"10.4208/jcm.2210-m2021-0067","DOIUrl":"https://doi.org/10.4208/jcm.2210-m2021-0067","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49558853","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
One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay 具有分布延迟的空间分数阶正弦戈登方程的单参数有限差分方法及其加速格式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-05-01 DOI: 10.4208/jcm.2206-m2021-0240
T. Sun, Chengjian Sun
{"title":"One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay","authors":"T. Sun, Chengjian Sun","doi":"10.4208/jcm.2206-m2021-0240","DOIUrl":"https://doi.org/10.4208/jcm.2206-m2021-0240","url":null,"abstract":"This paper deals with numerical methods for solving one-dimensional (1D) and two-dimensional (2D) initial-boundary value problems (IBVPs) of space-fractional sine-Gordon equations (SGEs) with distributed delay. For 1D problems, we construct a kind of one-parameter finite difference (OPFD) method. It is shown that, under a suitable condition, the proposed method is convergent with second order accuracy both in time and space. In implementation, the preconditioned conjugate gradient (PCG) method with the Strang circulant preconditioner is carried out to improve the computational efficiency of the OPFD method. For 2D problems, we develop another kind of OPFD method. For such a method, two classes of accelerated schemes are suggested, one is alternative direction implicit (ADI) scheme and the other is ADI-PCG scheme. In particular, we prove that ADI scheme can arrive at second-order accuracy in time and space. With some numerical experiments, the computational effectiveness and accuracy of the methods are further verified. Moreover, for the suggested methods, a numerical comparison in computational efficiency is presented.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46489530","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 Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Boit Consolidation Model Boit固结模型的Crouzeix-Raviart非协调和节点协调有限元空间的耦合方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-05-01 DOI: 10.4208/jcm.2212-m2021-0231
Yuping Zeng, M. Zhong
{"title":"A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Boit Consolidation Model","authors":"Yuping Zeng, M. Zhong","doi":"10.4208/jcm.2212-m2021-0231","DOIUrl":"https://doi.org/10.4208/jcm.2212-m2021-0231","url":null,"abstract":"A mixed finite element method is presented for the Biot consolidation problem in poroe-lasticity. More precisely, the displacement is approximated by using the Crouzeix-Raviart nonconforming finite elements, while the fluid pressure is approximated by using the node conforming finite elements. The well-posedness of the fully discrete scheme is established, and a corresponding priori error estimate with optimal order in the energy norm is also derived. Numerical experiments are provided to validate the theoretical results. Mathematics","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42854561","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
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":" ","pages":""},"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
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":" ","pages":""},"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
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":" ","pages":""},"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
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":" ","pages":""},"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
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