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Vietnam Journal of Mathematics最新文献

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Groups Having all Elements off a Normal Subgroup with Prime Power Order 具有素数幂阶正规子群上所有元素的群
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-03-04 DOI: 10.1007/s10013-022-00591-2
M. Lewis
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引用次数: 0
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 Q2 MATHEMATICS
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 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-02-23 DOI: 10.1007/s10013-022-00604-0
Camilla Felisetti, C. Fontanari
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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 Q2 MATHEMATICS
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
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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 Q2 MATHEMATICS
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
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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 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-01-26 DOI: 10.1007/s10013-021-00544-1
P. K. Anh, T. N. Hai
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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 Q2 MATHEMATICS
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 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-01-06 DOI: 10.1007/s10013-021-00542-3
Najia Merrachi, R. Tribak
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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 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-01-05 DOI: 10.1007/s10013-022-00596-x
P. Kunkel, V. Mehrmann
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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 Q2 MATHEMATICS
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

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.

在这项工作中，我们讨论了基于边界观测的粘性Eikonal方程的心脏激活瞬间重建。该问题被表述为最小二乘问题，并通过Levenberg-Marquardt方法的投影版本来解决。此外，我们分析了状态方程的适定性，并推导了最小二乘泛函相对于激活时刻的梯度。在数值算例中，我们还进行了一个实验，在该实验中，基于(J. Math)的形状梯度方法的改进版本，激活位点的位置和激活时刻被联合重建。生物学报，79,2033-2068,2019)。我们能够以相对于噪声水平的高精度重建激活时刻以及激活位置。
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引用次数: 0
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