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Numerical Mathematics-Theory Methods and Applications最新文献

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Character Modelling with Sketches and ODE-Based Shape Creation 使用草图进行角色建模和基于ODE的形状创建
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2023-05-01 DOI: 10.4208/nmtma.oa-2022-0172
Ouwen Li, Haibin Fu, Shaojun Bian, Xiaosong Yang, Xiaogang Jin, A. Iglesias, Algirdas Noreika, Lihua You and Jian Jun Zhang
{"title":"Character Modelling with Sketches and ODE-Based Shape Creation","authors":"Ouwen Li, Haibin Fu, Shaojun Bian, Xiaosong Yang, Xiaogang Jin, A. Iglesias, Algirdas Noreika, Lihua You and Jian Jun Zhang","doi":"10.4208/nmtma.oa-2022-0172","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0172","url":null,"abstract":"","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42634452","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
Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates Fisher方程的保守三电平线性化有限差分格式及其最大误差估计
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2023-04-01 DOI: 10.4208/nmtma.oa-2022-0123
Guang‐hua Gao, B. Sun
{"title":"Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates","authors":"Guang‐hua Gao, B. Sun","doi":"10.4208/nmtma.oa-2022-0123","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0123","url":null,"abstract":"","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44320664","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 Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media 非均匀介质散射问题的一种有效的基于笛卡尔网格的方法
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2023-04-01 DOI: 10.4208/nmtma.oa-2022-0159
H. Dong, Wenjun Zhang
{"title":"An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media","authors":"H. Dong, Wenjun Zhang","doi":"10.4208/nmtma.oa-2022-0159","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0159","url":null,"abstract":"","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43830418","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
Numerical Methods and Applications: 10th International Conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022, Proceedings 数值方法及其应用:第十届国际会议，NMA 2022，保加利亚Borovets, 2022年8月22日至26日，论文集
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2023-01-01 DOI: 10.1007/978-3-031-32412-3
{"title":"Numerical Methods and Applications: 10th International Conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022, Proceedings","authors":"","doi":"10.1007/978-3-031-32412-3","DOIUrl":"https://doi.org/10.1007/978-3-031-32412-3","url":null,"abstract":"","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":"3 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72895816","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 Convergence Study of SGD-Type Methods for Stochastic Optimization sgd型随机优化方法的收敛性研究
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-11-11 DOI: 10.4208/nmtma.oa-2022-0179
Tiannan Xiao, Guoguo Yang
{"title":"A Convergence Study of SGD-Type Methods for Stochastic Optimization","authors":"Tiannan Xiao, Guoguo Yang","doi":"10.4208/nmtma.oa-2022-0179","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0179","url":null,"abstract":"In this paper, we first reinvestigate the convergence of vanilla SGD method in the sense of $L^2$ under more general learning rates conditions and a more general convex assumption, which relieves the conditions on learning rates and do not need the problem to be strongly convex. Then, by taking advantage of the Lyapunov function technique, we present the convergence of the momentum SGD and Nesterov accelerated SGD methods for the convex and non-convex problem under $L$-smooth assumption that extends the bounded gradient limitation to a certain extent. The convergence of time averaged SGD was also analyzed.","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41585300","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
A database of high precision trivial choreographies for the planar three-body problem 平面三体问题的高精度琐碎编排数据库
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-10-02 DOI: 10.48550/arXiv.2210.00594
I. Hristov, R. Hristova, I. Puzynin, T. Puzynina, Z. Sharipov, Z. Tukhliev
{"title":"A database of high precision trivial choreographies for the planar three-body problem","authors":"I. Hristov, R. Hristova, I. Puzynin, T. Puzynina, Z. Sharipov, Z. Tukhliev","doi":"10.48550/arXiv.2210.00594","DOIUrl":"https://doi.org/10.48550/arXiv.2210.00594","url":null,"abstract":"Trivial choreographies are special periodic solutions of the planar three-body problem. In this work we use a modified Newton's method based on the continuous analog of Newton's method and a high precision arithmetic for a specialized numerical search for new trivial choreographies. As a result of the search we computed a high precision database of 462 such orbits, including 397 new ones. The initial conditions and the periods of all found solutions are given with 180 correct decimal digits. 108 of the choreographies are linearly stable, including 99 new ones. The linear stability is tested by a high precision computing of the eigenvalues of the monodromy matrices.","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":"28 1","pages":"171-180"},"PeriodicalIF":1.3,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90474395","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 Nonlocal Stokes System with Volume Constraints 具有体积约束的非局部Stokes系统
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-10-01 DOI: 10.4208/nmtma.oa-2022-0002s
Qiang Du, Zuoqiang Shi
{"title":"A Nonlocal Stokes System with Volume Constraints","authors":"Qiang Du, Zuoqiang Shi","doi":"10.4208/nmtma.oa-2022-0002s","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0002s","url":null,"abstract":"In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint\u0000to enforce the no-slip boundary condition and prove that the nonlocal model is well-posed. We also show that and the solution of the nonlocal system converges to the\u0000solution of the original Stokes system as the nonlocality vanishes.","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":"34 ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138504912","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
Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport 各向异性非局部扩散模型的分析:反常输运分数问题的适定性
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-10-01 DOI: 10.4208/nmtma.oa-2022-0001s
Marta D’Elia, Mamikon Gulian
{"title":"Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport","authors":"Marta D’Elia, Mamikon Gulian","doi":"10.4208/nmtma.oa-2022-0001s","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0001s","url":null,"abstract":"We analyze the well-posedness of an anisotropic, nonlocal diffusion equation. Establishing an equivalence between weighted and unweighted anisotropic\u0000nonlocal diffusion operators in the vein of unified nonlocal vector calculus, we apply our analysis to a class of fractional-order operators and present rigorous estimates for the solution of the corresponding anisotropic anomalous diffusion equation. Furthermore, we extend our analysis to the anisotropic diffusion-advection\u0000equation and prove well-posedness for fractional orders $s ∈ [0.5, 1).$ We also present\u0000an application of the advection-diffusion equation to anomalous transport of solutes.","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":"11 11","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138504918","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
Rational approximation preconditioners for multiphysics problems 多物理场问题的有理逼近预条件
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-09-23 DOI: 10.48550/arXiv.2209.11659
Ana Budiša, Xiaozhe Hu, M. Kuchta, Kent-A Mardal, L. Zikatanov
{"title":"Rational approximation preconditioners for multiphysics problems","authors":"Ana Budiša, Xiaozhe Hu, M. Kuchta, Kent-A Mardal, L. Zikatanov","doi":"10.48550/arXiv.2209.11659","DOIUrl":"https://doi.org/10.48550/arXiv.2209.11659","url":null,"abstract":"We consider a class of mathematical models describing multiphysics phenomena interacting through interfaces. On such interfaces, the traces of the fields lie (approximately) in the range of a weighted sum of two fractional differential operators. We use a rational function approximation to precondition such operators. We first demonstrate the robustness of the approximation for ordinary functions given by weighted sums of fractional exponents. Additionally, we present more realistic examples utilizing the proposed preconditioning techniques in interface coupling between Darcy and Stokes equations.","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":"16 1","pages":"100-113"},"PeriodicalIF":1.3,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85397748","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: 5
A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels 弱奇异核非局部问题的鲁棒混合谱方法
IF 1.3 4区 数学
Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-06-01 DOI: 10.4208/nmtma.oa-2022-0006s
Chao Zhang, Guoqing Yao null, Shengping Chen
{"title":"A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels","authors":"Chao Zhang, Guoqing Yao null, Shengping Chen","doi":"10.4208/nmtma.oa-2022-0006s","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0006s","url":null,"abstract":"","PeriodicalId":51146,"journal":{"name":"Numerical Mathematics-Theory Methods and Applications","volume":" ","pages":""},"PeriodicalIF":1.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42687798","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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