{"title":"Blow-up and Decay for a Pseudo-parabolic Equation with Nonstandard Growth Conditions","authors":"Q. V. Chuong, L. Nhan, Le Xuan Truong","doi":"10.11650/tjm/231203","DOIUrl":"https://doi.org/10.11650/tjm/231203","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"28 22","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139456569","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}
{"title":"Precise Asymptotic Spreading Behavior for an Epidemic Model with Nonlocal Dispersal","authors":"Jong-Shenq Guo, Amy Ai Ling Poh, Masahiko Shimojo","doi":"10.11650/tjm/240101","DOIUrl":"https://doi.org/10.11650/tjm/240101","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"122 27","pages":""},"PeriodicalIF":0.4,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139453794","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}
We investigate the behavior of the approximate solution of Biot's consolidation model using a weighted least-squares (WLS) finite element method. The model describes the fluid flow in a deformable porous medium, with variables for fluid pressure, velocity, and displacement. The WLS functional is defined based on the stress-displacement formulation, with the symmetry condition of the stress and the weight that depends on the time step size for the temporal discretization of the model. An a priori error estimate for the first-order linearized least squares (LS) system is analyzed, and its validity is confirmed through numerical results. By using continuous piecewise linear finite element spaces for all variables and adjusting the weight appropriately, we obtain optimal error convergence rates for all variables. Additionally, we present two numerical examples to demonstrate the implementation of the WLS method for benchmark problems.
{"title":"Equal Lower-order Finite Elements of Least-squares Type in Biot Poroelasticity Modeling","authors":"Hsueh-Chen Lee, Hyesuk Lee","doi":"10.11650/tjm/230702","DOIUrl":"https://doi.org/10.11650/tjm/230702","url":null,"abstract":"We investigate the behavior of the approximate solution of Biot's consolidation model using a weighted least-squares (WLS) finite element method. The model describes the fluid flow in a deformable porous medium, with variables for fluid pressure, velocity, and displacement. The WLS functional is defined based on the stress-displacement formulation, with the symmetry condition of the stress and the weight that depends on the time step size for the temporal discretization of the model. An a priori error estimate for the first-order linearized least squares (LS) system is analyzed, and its validity is confirmed through numerical results. By using continuous piecewise linear finite element spaces for all variables and adjusting the weight appropriately, we obtain optimal error convergence rates for all variables. Additionally, we present two numerical examples to demonstrate the implementation of the WLS method for benchmark problems.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136263541","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}
Motivated by a theorem of Gordon and Hedenmalm in 1999, the study of composition operators acting on various scales of function spaces of Dirchlet series has arisen intensive interest. In this paper, we characterize the boundedness of composition operators induced by specific Dirichlet series symbols from Bergman space to Hardy space of Dirichlet series.
{"title":"Composition Operators on Hilbert Spaces of Dirichlet Series","authors":"Maofa Wang, Min He","doi":"10.11650/tjm/220905","DOIUrl":"https://doi.org/10.11650/tjm/220905","url":null,"abstract":"Motivated by a theorem of Gordon and Hedenmalm in 1999, the study of composition operators acting on various scales of function spaces of Dirchlet series has arisen intensive interest. In this paper, we characterize the boundedness of composition operators induced by specific Dirichlet series symbols from Bergman space to Hardy space of Dirichlet series.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135035407","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}
Purpose: To examine the feasibility and possible effect of an 8-week exercise program on sleep quality, insomnia and psychological distress in individuals with multiple sclerosis (MS).
Methods: Twenty-four individuals with MS were recruited into a controlled pre-post feasibility study and divided into 2 groups: exercise (n = 13; Expanded Disability Status Scale (EDSS): 1.0-7.5) and a related control group with no exercise (n = 11; EDSS: 1.0-7.0). The exercise group performed combined upper limb, lower limb and breathing exercises in a controlled group (2d/week, 60 min/session) for 8 weeks. Participants were administered measures to evaluate sleep quality (Pittsburgh Sleep Quality Index, PSQI), insomnia severity (Insomnia Severity Index, ISI), psychological distress (Clinical Outcomes in Routine Evaluation-Outcome Measure, CORE-OM) and additionally impact of fatigue (Modified Fatigue Impact Scale, MFIS) after 8-weeks.
Results: Insomnia severity measured with ISI (F(1;22)=5.95, p = 0.023, ηp2 = 0.213, 90% CI = 0.02-0.42) and psychological distress measured with the CORE-OM (F(1;22)=4.82, p = 0.039, ηp2 = 0.179, 90% CI = 0.01-0.40) showed statistically significant group-by-time interaction. Sleep quality measured with the PSQI showed statistically significant group-by-time interaction only in an aspect of daytime sleep dysfunction (F(1;22)=5.33, p = 0.031, ηp2 = 0.195, 90% CI = 0.01-0.40). The fatigue impact measured with the MFIS showed statistically significant group-by-time interaction in physical (F(1;22)=6.80, p = 0.016, ηp2 = 0.236, 90% CI = 0.02-0.44) and cognitive aspects (F(1;22)=9.12, p = 0.006, ηp2 = 0.293, 90% CI = 0.05-0.49), and total score (F(1;22)=11.29, p = 0.003, ηp2 = 0.339, 90% CI = 0.08-0.52).
Conclusions: Our 8-week program reduced insomnia severity, psychological distress and some aspects of fatigue (physical; cognitive; total), and improved sleep quality in an aspect of daytime sleep dysfunction in a small group of individuals with MS. Good feasibility and significant positive changes from baseline warrant further exploratory work.
目的：研究为期8周的锻炼计划对多发性硬化症（MS）患者的睡眠质量、失眠和心理困扰的可行性和可能影响：方法：24 名多发性硬化症患者被招募参加一项前后对照可行性研究，并被分为两组：运动组（n = 13；残疾状况扩展量表（EDSS）：1.0-7.5）和失眠组（n = 10；残疾状况扩展量表（EDSS）：1.0-7.5）：1.0-7.5）和不做运动的相关对照组（n = 11；EDSS：1.0-7.0）。锻炼组在对照组中进行上肢、下肢和呼吸综合锻炼（每周 2 次，每次 60 分钟），为期 8 周。8 周后，对参与者进行睡眠质量（匹兹堡睡眠质量指数，PSQI）、失眠严重程度（失眠严重程度指数，ISI）、心理困扰（常规评估中的临床结果-结果测量，CORE-OM）和疲劳影响（改良疲劳影响量表，MFIS）的评估：用 ISI 测量的失眠严重程度（F(1;22)=5.95, p = 0.023, η p 2 = 0.213, 90% CI = 0.02-0.42）和用 CORE-OM 测量的心理压力（F(1;22)=4.82, p = 0.039, η p 2 = 0.179, 90% CI = 0.01-0.40）显示出显著的组间时间交互作用。用 PSQI 测量的睡眠质量仅在日间睡眠功能障碍方面显示出具有统计学意义的组间交互作用（F(1;22)=5.33, p = 0.031, η p 2 = 0.195, 90% CI = 0.01-0.40）。在身体（F（1；22）=6.80，p = 0.016，η p 2 = 0.236，90% CI = 0.02-0.44）和认知方面（F(1;22)=9.12, p = 0.006, η p 2 = 0.293, 90% CI = 0.05-0.49），以及总分（F(1;22)=11.29, p = 0.003, η p 2 = 0.339, 90% CI = 0.08-0.52）：我们为期8周的计划降低了失眠的严重程度、心理压力和疲劳的某些方面（身体、认知、总体），并改善了一小部分多发性硬化症患者白天睡眠功能障碍方面的睡眠质量。良好的可行性和与基线相比的显著积极变化值得进一步探索。
{"title":"Upper-lower limb and breathing exercise program for improving sleep quality and psychological status in multiple sclerosis: a pilot randomized controlled trial.","authors":"Tanja Grubić Kezele, Zrinka Trope, Valentina Ahel, Natali Ružić, Hrvoje Omrčen, Luka Đudarić, Ariana Fužinac-Smojver","doi":"10.1017/BrImp.2021.17","DOIUrl":"10.1017/BrImp.2021.17","url":null,"abstract":"<p><strong>Purpose: </strong>To examine the feasibility and possible effect of an 8-week exercise program on sleep quality, insomnia and psychological distress in individuals with multiple sclerosis (MS).</p><p><strong>Methods: </strong>Twenty-four individuals with MS were recruited into a controlled pre-post feasibility study and divided into 2 groups: exercise (<i>n</i> = 13; Expanded Disability Status Scale (EDSS): 1.0-7.5) and a related control group with no exercise (<i>n</i> = 11; EDSS: 1.0-7.0). The exercise group performed combined upper limb, lower limb and breathing exercises in a controlled group (2d/week, 60 min/session) for 8 weeks. Participants were administered measures to evaluate sleep quality (Pittsburgh Sleep Quality Index, PSQI), insomnia severity (Insomnia Severity Index, ISI), psychological distress (Clinical Outcomes in Routine Evaluation-Outcome Measure, CORE-OM) and additionally impact of fatigue (Modified Fatigue Impact Scale, MFIS) after 8-weeks.</p><p><strong>Results: </strong>Insomnia severity measured with ISI (<i>F</i>(1;22)=5.95, <i>p</i> = 0.023, <i>η</i> <sub><i>p</i></sub> <sup>2</sup> = 0.213, 90% CI = 0.02-0.42) and psychological distress measured with the CORE-OM (<i>F</i>(1;22)=4.82, <i>p</i> = 0.039, <i>η</i> <sub><i>p</i></sub> <sup>2</sup> = 0.179, 90% CI = 0.01-0.40) showed statistically significant group-by-time interaction. Sleep quality measured with the PSQI showed statistically significant group-by-time interaction only in an aspect of daytime sleep dysfunction (<i>F</i>(1;22)=5.33, <i>p</i> = 0.031, <i>η</i> <sub><i>p</i></sub> <sup>2</sup> = 0.195, 90% CI = 0.01-0.40). The fatigue impact measured with the MFIS showed statistically significant group-by-time interaction in physical (<i>F</i>(1;22)=6.80, <i>p</i> = 0.016, <i>η</i> <sub><i>p</i></sub> <sup>2</sup> = 0.236, 90% CI = 0.02-0.44) and cognitive aspects (<i>F</i>(1;22)=9.12<i>, p</i> = 0.006, <i>η</i> <sub><i>p</i></sub> <sup>2</sup> = 0.293, 90% CI = 0.05-0.49), and total score (<i>F</i>(1;22)=11.29, <i>p</i> = 0.003, <i>η</i> <sub><i>p</i></sub> <sup>2</sup> = 0.339, 90% CI = 0.08-0.52).</p><p><strong>Conclusions: </strong>Our 8-week program reduced insomnia severity, psychological distress and some aspects of fatigue (physical; cognitive; total), and improved sleep quality in an aspect of daytime sleep dysfunction in a small group of individuals with MS. Good feasibility and significant positive changes from baseline warrant further exploratory work.</p>","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"13 1","pages":"86-102"},"PeriodicalIF":0.8,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86996471","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}
{"title":"On the Limiting Spectral Distributions of Stochastic Block Models","authors":"May-Ru Chen, Giap Van Su","doi":"10.11650/tjm/231004","DOIUrl":"https://doi.org/10.11650/tjm/231004","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135312898","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}
Resonant regime in two-phase flow models causes tough problems for constructing computational Riemann solvers. The nonlinear algebraic equations that determine the states could be in implicit form. In this work, we develop computational algorithms for the states in Riemann solvers, which include a method of pattern search of the intersection points of composite wave curves associated with different characteristic fields. Numerical tests show that numerical schemes employing these algorithms provides us with a good accuracy. The schemes are also shown to be well-balanced in subsonic regions.
{"title":"Computing Algorithms in Resonant Regime for a Two-phase Flow Model","authors":"Dao Huy Cuong, Mai Duc Thanh","doi":"10.11650/tjm/230901","DOIUrl":"https://doi.org/10.11650/tjm/230901","url":null,"abstract":"Resonant regime in two-phase flow models causes tough problems for constructing computational Riemann solvers. The nonlinear algebraic equations that determine the states could be in implicit form. In this work, we develop computational algorithms for the states in Riemann solvers, which include a method of pattern search of the intersection points of composite wave curves associated with different characteristic fields. Numerical tests show that numerical schemes employing these algorithms provides us with a good accuracy. The schemes are also shown to be well-balanced in subsonic regions.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135550015","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}
{"title":"A Fractional-order Quasi-reversibility Method to a Backward Problem for the Multi-term Time-fractional Diffusion Equation","authors":"Liangliang Sun, Yuxin Wang, Maoli Chang","doi":"10.11650/tjm/230801","DOIUrl":"https://doi.org/10.11650/tjm/230801","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42407445","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}
{"title":"Error Analysis of Nonconforming Virtual Element Method for Stokes Problem with Low Regularity","authors":"Tonglin Wang, Jikun Zhao","doi":"10.11650/tjm/230205","DOIUrl":"https://doi.org/10.11650/tjm/230205","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47660476","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}
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