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Vietnam Journal of Mathematics最新文献

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Existence of Concave Positive Solutions for Nonlinear Fractional Differential Equation with p-Laplacian Operator 具有p-Laplacian算子的非线性分数阶微分方程凹正解的存在性
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-02-28 DOI: 10.1007/s10013-022-00552-9
Farid Chabane, S. Abbas, Maamar Benbachir, M. Benchohra, G. N’Guérékata
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引用次数: 0
On Generalized Nefness and Bigness in Adjunction Theory 论附加理论中的广义内大性
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-02-23 DOI: 10.1007/s10013-022-00604-0
Camilla Felisetti, C. Fontanari
{"title":"On Generalized Nefness and Bigness in Adjunction Theory","authors":"Camilla Felisetti, C. Fontanari","doi":"10.1007/s10013-022-00604-0","DOIUrl":"https://doi.org/10.1007/s10013-022-00604-0","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"1 1","pages":"1-9"},"PeriodicalIF":0.8,"publicationDate":"2022-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48811392","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
Binomiality Testing and Computing Sparse Polynomials via Witness Sets 基于见证集的稀疏多项式二元性检验与计算
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-02-22 DOI: 10.1007/s10013-021-00543-2
J. Hauenstein, L. Matusevich, C. Peterson, Samantha N. Sherman
{"title":"Binomiality Testing and Computing Sparse Polynomials via Witness Sets","authors":"J. Hauenstein, L. Matusevich, C. Peterson, Samantha N. Sherman","doi":"10.1007/s10013-021-00543-2","DOIUrl":"https://doi.org/10.1007/s10013-021-00543-2","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"50 1","pages":"653 - 678"},"PeriodicalIF":0.8,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42601494","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: 3
Hardy Type Identities on ℝ n − k 在n−k上的Hardy型恒等式
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-02-07 DOI: 10.1007/s10013-021-00536-1
N. Dao, Anh Xuan Do, Duy Nguyen Tuan, N. Lam
{"title":"Hardy Type Identities on \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 ℝ\u0000 \u0000 \u0000 n\u0000 −\u0000 k\u0000 \u0000 \u0000 ","authors":"N. Dao, Anh Xuan Do, Duy Nguyen Tuan, N. Lam","doi":"10.1007/s10013-021-00536-1","DOIUrl":"https://doi.org/10.1007/s10013-021-00536-1","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"329-343"},"PeriodicalIF":0.8,"publicationDate":"2022-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47458572","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
On Regularized Forward-Backward Dynamical Systems Associated with Structured Monotone Inclusions 与结构单调包含相关的正则前向-后向动力系统
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-01-26 DOI: 10.1007/s10013-021-00544-1
P. K. Anh, T. N. Hai
{"title":"On Regularized Forward-Backward Dynamical Systems Associated with Structured Monotone Inclusions","authors":"P. K. Anh, T. N. Hai","doi":"10.1007/s10013-021-00544-1","DOIUrl":"https://doi.org/10.1007/s10013-021-00544-1","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"545-562"},"PeriodicalIF":0.8,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43876034","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
Model Reduction Using Sparse Polynomial Interpolation for the Incompressible Navier–Stokes Equations 不可压缩Navier-Stokes方程的稀疏多项式插值模型约简
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-01-10 DOI: 10.1007/s10013-022-00590-3
M. Hess, G. Rozza
{"title":"Model Reduction Using Sparse Polynomial Interpolation for the Incompressible Navier–Stokes Equations","authors":"M. Hess, G. Rozza","doi":"10.1007/s10013-022-00590-3","DOIUrl":"https://doi.org/10.1007/s10013-022-00590-3","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"199-211"},"PeriodicalIF":0.8,"publicationDate":"2022-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46998115","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
A Class of Retractable and Coretractable Modules 一类可伸缩模和可伸缩模
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-01-06 DOI: 10.1007/s10013-021-00542-3
Najia Merrachi, R. Tribak
{"title":"A Class of Retractable and Coretractable Modules","authors":"Najia Merrachi, R. Tribak","doi":"10.1007/s10013-021-00542-3","DOIUrl":"https://doi.org/10.1007/s10013-021-00542-3","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"489-504"},"PeriodicalIF":0.8,"publicationDate":"2022-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42944082","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
Local and Global Canonical Forms for Differential-Algebraic Equations with Symmetries 对称微分代数方程的局部和全局正则形式
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-01-05 DOI: 10.1007/s10013-022-00596-x
P. Kunkel, V. Mehrmann
{"title":"Local and Global Canonical Forms for Differential-Algebraic Equations with Symmetries","authors":"P. Kunkel, V. Mehrmann","doi":"10.1007/s10013-022-00596-x","DOIUrl":"https://doi.org/10.1007/s10013-022-00596-x","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"177-198"},"PeriodicalIF":0.8,"publicationDate":"2022-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44798783","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
An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology. 粘性方程反问题及其在电生理学中的应用。
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-01-01 Epub Date: 2021-06-12 DOI: 10.1007/s10013-021-00509-4
Karl Kunisch, Philip Trautmann
{"title":"An Inverse Problem Involving a Viscous Eikonal Equation with Applications in Electrophysiology.","authors":"Karl Kunisch,&nbsp;Philip Trautmann","doi":"10.1007/s10013-021-00509-4","DOIUrl":"https://doi.org/10.1007/s10013-021-00509-4","url":null,"abstract":"<p><p>In this work we discuss the reconstruction of cardiac activation instants based on a viscous Eikonal equation from boundary observations. The problem is formulated as a least squares problem and solved by a projected version of the Levenberg-Marquardt method. Moreover, we analyze the well-posedness of the state equation and derive the gradient of the least squares functional with respect to the activation instants. In the numerical examples we also conduct an experiment in which the location of the activation sites and the activation instants are reconstructed jointly based on an adapted version of the shape gradient method from (J. Math. Biol. 79, 2033-2068, 2019). We are able to reconstruct the activation instants as well as the locations of the activations with high accuracy relative to the noise level.</p>","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"50 1","pages":"301-317"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10013-021-00509-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39583097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Conservation of Forces and Total Work at the Interface Using the Internodes Method. 结点间法在界面处的力守恒和总功。
IF 0.8
Vietnam Journal of Mathematics Pub Date : 2022-01-01 Epub Date: 2022-05-10 DOI: 10.1007/s10013-022-00560-9
Simone Deparis, Paola Gervasio
{"title":"Conservation of Forces and Total Work at the Interface Using the Internodes Method.","authors":"Simone Deparis,&nbsp;Paola Gervasio","doi":"10.1007/s10013-022-00560-9","DOIUrl":"https://doi.org/10.1007/s10013-022-00560-9","url":null,"abstract":"<p><p>The Internodes method is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into disjoint subdomains. In this paper we are interested in measuring how much the Internodes method is conservative across the interface. If <i>hp</i>-fem discretizations are employed, we prove that both the total force and total work generated by the numerical solution at the interface of the decomposition vanish in an optimal way when the mesh size tends to zero, i.e., like <math><mi>O</mi> <mo>(</mo> <msup><mrow><mi>h</mi></mrow> <mrow><mi>p</mi></mrow> </msup> <mo>)</mo></math> , where <i>p</i> is the local polynomial degree and <i>h</i> the mesh-size. This is the same as the error decay in the <i>H</i> <sup>1</sup>-broken norm. We observe that the conservation properties of a method are intrinsic to the method itself because they depend on the way the interface conditions are enforced rather then on the problem we are called to approximate. For this reason, in this paper, we focus on second-order elliptic PDEs, although we use the terminology (of forces and works) proper of linear elasticity. Two and three dimensional numerical experiments corroborate the theoretical findings, also by comparing Internodes with Mortar and WACA methods.</p>","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"50 4","pages":"901-928"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9550708/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33516109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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