Frontiers in Applied Mathematics and Statistics最新文献_第6页

Lp-Sampling recovery for non-compact subclasses of L∞ L∞非紧子类的lp采样恢复

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-24 DOI: 10.3389/fams.2023.1216331

G. Byrenheid, S. Stasyuk, T. Ullrich

{"title":"Lp-Sampling recovery for non-compact subclasses of L∞","authors":"G. Byrenheid, S. Stasyuk, T. Ullrich","doi":"10.3389/fams.2023.1216331","DOIUrl":"https://doi.org/10.3389/fams.2023.1216331","url":null,"abstract":"In this article, we study the sampling recovery problem for certain relevant multivariate function classes on the cube [0, 1]d, which are not compactly embedded into L∞([0,1]d). Recent tools relating the sampling widths to the Kolmogorov or best m-term trigonometric widths in the uniform norm are therefore not applicable. In a sense, we continue the research on the small smoothness problem by considering limiting smoothness in the context of Besov and Triebel-Lizorkin spaces with dominating mixed regularity such that the sampling recovery problem is still relevant. There is not much information available on the recovery of such functions except for a previous result by Oswald in the univariate case and Dinh Dũng in the multivariate case. As a first step, we prove the uniform boundedness of the ℓp-norm of the Faber coefficients at a fixed level by Fourier analytic means. Using this, we can control the error made by a (Smolyak) truncated Faber series in Lq([0,1]d) with q <∞. It turns out that the main rate of convergence is sharp. Thus, we obtain results also for S1,∞1F([0,1]d), a space “close” to S11W([0,1]d), which is important in numerical analysis, especially numerical integration, but has rather poor Fourier analytical properties.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46072108","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

Carrot or stick? A study on “bid-rigging norms” by simulation: inducing factors and deterring measures 胡萝卜还是大棒?“串通投标规范”的模拟研究:诱发因素与遏制措施

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-24 DOI: 10.3389/fams.2023.1045108

H. Morofuji, S. Kurahashi

{"title":"Carrot or stick? A study on “bid-rigging norms” by simulation: inducing factors and deterring measures","authors":"H. Morofuji, S. Kurahashi","doi":"10.3389/fams.2023.1045108","DOIUrl":"https://doi.org/10.3389/fams.2023.1045108","url":null,"abstract":"This study aims to analyze the structure of the emergence and maintenance of the cartel mechanism as an informal organization and the measures to deter bid-rigging. We propose an agent-based bid-rigging norms model and validate it with a mathematical model. We clarify that the auction system primarily used in public procurements has a structure inducing bid-rigging in which meta-norms are unnecessary. We also show that punishment for deviation from bid-rigging plays a critical role in establishing and maintaining it. In addition, we explore the authorities' actions to deter bid-rigging by examining three measures: the flexible setting of reserve prices, the administrative surcharge and leniency system under the Antimonopoly Law, and applying the bid-rigging offense under the Criminal Law. As a result, the study reveals that the administrative surcharge and the leniency system are insufficient to deter bid-rigging, and the adequate measures are the flexible setting of reserve prices and applying the bid-rigging offense. Furthermore, the simultaneous implementation of these three measures more effectively enables deterring bid-rigging.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48362170","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

A mathematical model for Chagas disease transmission with neighboring villages 恰加斯病与邻村传播的数学模型

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-16 DOI: 10.3389/fams.2023.1225137

Daniel J. Coffield, A. Spagnuolo, Ryan Capouellez, G. Stryker

{"title":"A mathematical model for Chagas disease transmission with neighboring villages","authors":"Daniel J. Coffield, A. Spagnuolo, Ryan Capouellez, G. Stryker","doi":"10.3389/fams.2023.1225137","DOIUrl":"https://doi.org/10.3389/fams.2023.1225137","url":null,"abstract":"Chagas disease has been the target of widespread control programs, primarily through residual insecticide treatments. However, in some regions like the Gran Chaco, these efforts have failed to sufficiently curb the disease. Vector reinfestation into homes and vector resistance to insecticides are possible causes of the control failure. This work proposes a mathematical model for the dynamics of Chagas disease in neighboring rural villages of the Gran Chaco region, incorporating human travel between the villages, passive vector migration, and insecticide resistance. Computational simulations across a wide variety of scenarios are presented. The simulations reveal that the effects of human travel and passive vector migration are secondary and unlikely to play a significant role in the overall dynamics, including the number of human infections. The numerical results also show that insecticide resistance causes a notable increase in infections and is an especially important source of reinfestation when spraying stops. The results suggest that control strategies related to migration and travel between the villages are unlikely to yield meaningful benefit and should instead focus on other reinfestation sources like domestic foci that survive insecticide spraying or sylvatic foci.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48725760","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

Modeling and analysis of the addiction of social media through fractional calculus 基于分数演算的社交媒体成瘾建模与分析

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-09 DOI: 10.3389/fams.2023.1210404

Meshal Shutaywi, Ziad Ur Rehman, Z. Shah, N. Vrinceanu, Rashid Jan, Wejdan Deebani, O. Dumitrașcu

{"title":"Modeling and analysis of the addiction of social media through fractional calculus","authors":"Meshal Shutaywi, Ziad Ur Rehman, Z. Shah, N. Vrinceanu, Rashid Jan, Wejdan Deebani, O. Dumitrașcu","doi":"10.3389/fams.2023.1210404","DOIUrl":"https://doi.org/10.3389/fams.2023.1210404","url":null,"abstract":"Social media addiction (SMA) is the excessive use of social media platforms, resulting in negative consequences for individuals. It is characterized by an uncontrollable urge to use social media, leading to negative effects in human's life. This study aims to construct a mathematical model to conceptualize the transmission dynamics of SMA and explore the underlying mechanisms of this harmful addiction in the framework of fractional derivative. The fundamentals of fractional calculus are listed for examining the model. Equilibrium points are identified, and the reproduction parameter R0 is computed to understand the dynamics of SMA spread. Stability analysis of the equilibria is performed, and the impact of various input parameters is numerically investigated. The existence and uniqueness of the proposed SMA model are demonstrated through simulations, which also study the intricate dynamics with respect to different input factors. To develop effective control strategies, the system's dynamical behavior is examined, and the influence of fractional derivative order on fluctuations is explored. This research offers a range of suggestions aimed at reducing the occurrence of social media addiction.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49493737","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

Editorial: Physical and statistical approaches to earthquake modeling and forecasting 社论:地震建模和预报的物理和统计方法

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-08 DOI: 10.3389/fams.2023.1268240

I. Spassiani, M. Taroni, A. Stallone, Pietro Artale Harris

引用次数: 0

A combination of physics-informed neural networks with the fixed-stress splitting iteration for solving Biot's model 基于物理信息的神经网络与固定应力分裂迭代相结合求解Biot模型

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-03 DOI: 10.3389/fams.2023.1206500

M. Cai, H. Gu, P. Hong, Jingzhi Li

{"title":"A combination of physics-informed neural networks with the fixed-stress splitting iteration for solving Biot's model","authors":"M. Cai, H. Gu, P. Hong, Jingzhi Li","doi":"10.3389/fams.2023.1206500","DOIUrl":"https://doi.org/10.3389/fams.2023.1206500","url":null,"abstract":"Biot's consolidation model in poroelasticity describes the interaction between the fluid and the deformable porous structure. Based on the fixed-stress splitting iterative method proposed by Mikelic et al. (Computat Geosci, 2013), we present a network approach to solve Biot's consolidation model using physics-informed neural networks (PINNs).Two independent and small neural networks are used to solve the displacement and pressure variables separately. Accordingly, separate loss functions are proposed, and the fixed stress splitting iterative algorithm is used to couple these variables. Error analysis is provided to support the capability of the proposed fixed-stress splitting-based PINNs (FS-PINNs).Several numerical experiments are performed to evaluate the effectiveness and accuracy of our approach, including the pure Dirichlet problem, the mixed partial Neumann and partial Dirichlet problem, and the Barry-Mercer's problem. The performance of FS-PINNs is superior to traditional PINNs, demonstrating the effectiveness of our approach.Our study highlights the successful application of PINNs with the fixed-stress splitting iterative method to tackle Biot's model. The ability to use independent neural networks for displacement and pressure offers computational advantages while maintaining accuracy. The proposed approach shows promising potential for solving other similar geoscientific problems.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44638445","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

Editorial: Recent advances in bifurcation analysis: theory, methods, applications and beyond - volume II 社论:分岔分析的最新进展:理论，方法，应用和超越第二卷

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-03 DOI: 10.3389/fams.2023.1260383

V. Breña-medina, Pablo Aguirre

引用次数: 0

Editorial: Insights in Dynamical Systems 2022 社论:动力系统的洞察2022

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-07-28 DOI: 10.3389/fams.2023.1254646

A. Hutt

引用次数: 0

Study of the stability of a meshless generalized finite difference scheme applied to the wave equation 无网格广义有限差分格式在波动方程中的稳定性研究

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-07-11 DOI: 10.3389/fams.2023.1214022

G. Tinoco-Guerrero, F. Domínguez-Mota, J. A. Guzmán-Torres, Ricardo Román-Gutiérrez, J. Tinoco-Ruiz

{"title":"Study of the stability of a meshless generalized finite difference scheme applied to the wave equation","authors":"G. Tinoco-Guerrero, F. Domínguez-Mota, J. A. Guzmán-Torres, Ricardo Román-Gutiérrez, J. Tinoco-Ruiz","doi":"10.3389/fams.2023.1214022","DOIUrl":"https://doi.org/10.3389/fams.2023.1214022","url":null,"abstract":"When designing and implementing numerical schemes, it is imperative to consider the stability of the applied methods. Prior research has presented different results for the stability of generalized finite-difference methods applied to advection and diffusion equations. In recent years, research has explored a generalized finite-difference approach to the advection-diffusion equation solved on non-rectangular and highly irregular regions using convex, logically rectangular grids. This paper presents a study on the stability of generalized finite difference schemes applied to the numerical solution of the wave equation, solved on clouds of points for highly irregular domains. The stability analysis presented in this work provides significant insights into the proper discretizations needed to obtain stable and satisfactory results. The proposed explicit scheme is conditionally stable, while the implicit scheme is unconditionally stable. Notably, the stability analyses presented in this paper apply to any scheme which is at least second order in space, not just the proposed approach. The proposed scheme offers effective means of numerically solving the wave equation, particularly for highly irregular domains. By demonstrating the stability of the scheme, this study provides a foundation for further research in this area.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43976961","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

Corrigendum: Modified quantile regression for modeling the low birth weight 更正:修正的低出生体重分位数回归模型

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-07-10 DOI: 10.3389/fams.2023.1233135

F. Yanuar, H. Yozza, A. Zetra

引用次数: 0