发布求助
文献互助 智能选刊 最新文献

Taiwanese Journal of Mathematics最新文献

筛选
英文 中文
Well-balanced and Positivity-preserving Roe-type Numerical Scheme for the Model of Fluid Flows in a Nozzle with Variable Cross-section 变截面喷嘴内流体流动模型的平衡保正roe型数值格式
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230804
Dao Huy Cuong, Ngo Nguyen Quoc Bao, Nguyen Duy Khang, Nguyen Nhat Nam
{"title":"Well-balanced and Positivity-preserving Roe-type Numerical Scheme for the Model of Fluid Flows in a Nozzle with Variable Cross-section","authors":"Dao Huy Cuong, Ngo Nguyen Quoc Bao, Nguyen Duy Khang, Nguyen Nhat Nam","doi":"10.11650/tjm/230804","DOIUrl":"https://doi.org/10.11650/tjm/230804","url":null,"abstract":"This paper presents a Roe-type numerical scheme for the model of fluid flows in a nozzle with variable cross-section. The proposed scheme is built using the Roe method combined with stationary contact jumps at interfaces. The scheme is proven to capture smooth stationary waves precisely and preserve the positivity of the fluid's density. The numerical tests show that this approach can give considered accuracy to the exact solutions, except where the exact solution crosses a sonic surface.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135594690","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
Discretization and Perturbation of Wavelet-like Families 类小波族的离散化与摄动
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/231001
Michael Wilson
{"title":"Discretization and Perturbation of Wavelet-like Families","authors":"Michael Wilson","doi":"10.11650/tjm/231001","DOIUrl":"https://doi.org/10.11650/tjm/231001","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135310824","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
$E$-subdifferential of $E$-convex Functions and its Applications to Minimization Problem $E$-凸函数的$E$-子微分及其在最小化问题中的应用
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230803
Tadeusz Antczak, Najeeb Abdulaleem
{"title":"$E$-subdifferential of $E$-convex Functions and its Applications to Minimization Problem","authors":"Tadeusz Antczak, Najeeb Abdulaleem","doi":"10.11650/tjm/230803","DOIUrl":"https://doi.org/10.11650/tjm/230803","url":null,"abstract":"In this paper, a new concept of the subdifferential is defined for nondifferentiable (not necessarily) locally Lipschitz functions. Namely, the concept of $E$-subdifferential and the notion of $E$-subconvexity are introduced for $E$-convex functions. Thus, the notion of an $E$-subdifferentiable $E$-convex function is introduced and some properties of this class of nondifferentiable nonconvex functions are studied. The necessary optimality conditions in $E$-subdifferentials terms of the involved functions are established for a new class of nondifferentiable optimization problems. The introduced concept of $E$-subconvexity is used to prove the sufficiency of the aforesaid necessary optimality conditions for nondifferentiable optimization problems in which the involved functions are $E$-subdifferentiable $E$-convex.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135557174","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 Modified Tseng's Algorithm with Extrapolation from the Past for Pseudo-monotone Variational Inequalities 伪单调变分不等式的修正Tseng算法与过去外推
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230906
Buris Tongnoi
{"title":"A Modified Tseng's Algorithm with Extrapolation from the Past for Pseudo-monotone Variational Inequalities","authors":"Buris Tongnoi","doi":"10.11650/tjm/230906","DOIUrl":"https://doi.org/10.11650/tjm/230906","url":null,"abstract":"We present Tseng's forward-backward-forward method with extrapolation from the past for pseudo-monotone variational inequalities in Hilbert spaces. In addition, we propose a variable stepsize scheme of the extrapolated Tseng's algorithm governed by the operator which is pseudo-monotone, Lipschitz continuous and sequentially weak-to-weak continuous. We also investigate the algorithm's adaptive stepsize scenario, which arises when it is impossible to calculate the Lipschitz constant of a pseudo-monotone operator correctly. Finally, we prove a weak convergence theorem and conduct a numerical experiment to support it.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136258065","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
Non Local Weighted Fourth Order Equation in Dimension $4$ with Non-linear Exponential Growth 具有非线性指数增长的4维非局部加权四阶方程
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230202
Rached Jaidane, A. Ali
{"title":"Non Local Weighted Fourth Order Equation in Dimension $4$ with Non-linear Exponential Growth","authors":"Rached Jaidane, A. Ali","doi":"10.11650/tjm/230202","DOIUrl":"https://doi.org/10.11650/tjm/230202","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47944714","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 Class of Viscoelastic Wave Equations with Exponential Source and the Nonlinear Strong Damping 一类具有指数源和非线性强阻尼的粘弹性波动方程
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230705
Menglan Liao
{"title":"A Class of Viscoelastic Wave Equations with Exponential Source and the Nonlinear Strong Damping","authors":"Menglan Liao","doi":"10.11650/tjm/230705","DOIUrl":"https://doi.org/10.11650/tjm/230705","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44276085","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 Condition for $k$-Wall–Sun–Sun Primes k -Wall-Sun-Sun质数的一个新条件
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/231003
Lenny Jones
{"title":"A New Condition for $k$-Wall–Sun–Sun Primes","authors":"Lenny Jones","doi":"10.11650/tjm/231003","DOIUrl":"https://doi.org/10.11650/tjm/231003","url":null,"abstract":"Let $k geq 1$ be an integer, and let $(U_{n})$ be the Lucas sequence of the first kind defined by [ U_{0} = 0, quad U_{1} = 1 quad textrm{and} quad U_{n} = kU_{n-1} + U_{n-2} quad textrm{for $n geq 2$}. ] It is well known that $(U_{n})$ is periodic modulo any integer $m geq 2$, and we let $pi(m)$ denote the length of this period. A prime $p$ is called a $k$-Wall–Sun–Sun prime if $pi(p^{2}) = pi(p)$. Let $f(x) in mathbb{Z}[x]$ be a monic polynomial of degree $N$ that is irreducible over $mathbb{Q}$. We say $f(x)$ is monogenic if $Theta = { 1, theta, theta^{2}, ldots, theta^{N-1} }$ is a basis for the ring of integers $mathbb{Z}_{K}$ of $K = mathbb{Q}(theta)$, where $f(theta) = 0$. If $Theta$ is not a basis for $mathbb{Z}_{K}$, we say that $f(x)$ is non-monogenic. Suppose that $k notequiv 0 pmod{4}$ and that $mathcal{D} := (k^{2}+4)/gcd(2,k)^{2}$ is squarefree. We prove that $p$ is a $k$-Wall–Sun–Sun prime if and only if $mathcal{F}_{p}(x) = x^{2p}-kx^{p}-1$ is non-monogenic. Furthermore, if $p$ is a prime divisor of $k^{2}+4$, then $mathcal{F}_{p}(x)$ is monogenic.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135211250","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: 2
$delta^{sharp}(2,2)$-Ideal Centroaffine Hypersurfaces of Dimension 4 $delta^{sharp}(2,2)$- 4维理想仿心超曲面
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230706
Handan Yıldırım, Luc Vrancken
{"title":"$delta^{sharp}(2,2)$-Ideal Centroaffine Hypersurfaces of Dimension 4","authors":"Handan Yıldırım, Luc Vrancken","doi":"10.11650/tjm/230706","DOIUrl":"https://doi.org/10.11650/tjm/230706","url":null,"abstract":"Ideal submanifolds have been studied from various aspects since Chen invented $delta$-invariants in early 1990s (see [12] for a survey). In centroaffine differential geometry, Chen's invariants denoted by $delta^{sharp}$ are used to determine an optimal bound for the squared norm of the Tchebychev vector field of a hypersurface. We point out that a hypersurface attaining this bound is said to be an ideal centroaffine hypersurface. In this paper, we deal with $delta^{sharp}(2,2)$-ideal centroaffine hypersurfaces in $mathbb{R}^{5}$ and in particularly, we focus on $4$-dimensional $delta^{sharp}(2,2)$-ideal centroaffine hypersurfaces of type $1$.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135262144","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
Subeulerian Oriented Graphs 亚乌勒有向图
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230805
Zhenzhen Li, Baoyindureng Wu, Anders Yeo
{"title":"Subeulerian Oriented Graphs","authors":"Zhenzhen Li, Baoyindureng Wu, Anders Yeo","doi":"10.11650/tjm/230805","DOIUrl":"https://doi.org/10.11650/tjm/230805","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41396840","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 Modified Iterative Method for Solving the Non-symmetric Coupled Algebraic Riccati Equation 求解非对称耦合代数Riccati方程的改进迭代法
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/231101
Li Wang, Yibo Wang
{"title":"A Modified Iterative Method for Solving the Non-symmetric Coupled Algebraic Riccati Equation","authors":"Li Wang, Yibo Wang","doi":"10.11650/tjm/231101","DOIUrl":"https://doi.org/10.11650/tjm/231101","url":null,"abstract":"In this paper, a modified alternately linear implicit (MALI) iteration method is derived for solving the non-symmetric coupled algebraic Riccati equation (NCARE). In the MALI iteration algorithm, the coefficient matrices of the linear matrix equations are fixed at each iteration step. In addition, the MALI iteration method utilizes a weighted average of the estimates in both the last step and current step to update the estimates in the next iteration step. Further, we give the convergence theory of the modified algorithm. Last, numerical examples demonstrate the effectiveness and feasibility of the derived algorithm.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660055","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信