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Supervised cooperation on interdependent public goods games
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-19 DOI: 10.1016/j.amc.2024.129249
Ting Ling, Zhang Li, Minyu Feng, Attila Szolnoki
{"title":"Supervised cooperation on interdependent public goods games","authors":"Ting Ling, Zhang Li, Minyu Feng, Attila Szolnoki","doi":"10.1016/j.amc.2024.129249","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129249","url":null,"abstract":"It is a challenging task to reach global cooperation among self-interested agents, which often requires sophisticated design or usage of incentives. For example, we may apply supervisors or referees who are able to detect and punish selfishness. As a response, defectors may offer bribes for corrupt referees to remain hidden, hence generating a new conflict among supervisors. By using the interdependent network approach, we model the key element of the coevolution between strategy and judgment. In a game layer, agents play public goods game by using one of the two major strategies of a social dilemma. In a monitoring layer, supervisors follow the strategy change and may alter the income of competitors. Fair referees punish defectors while corrupt referees remain silent for a bribe. Importantly, there is a learning process not only among players but also among referees. Our results suggest that large fines and bribes boost the emergence of cooperation by significantly reducing the phase transition threshold between the pure defection state and the mixed solution where competing strategies coexist. Interestingly, the presence of bribes could be as harmful for defectors as the usage of harsh fines. The explanation of this system behavior is based on a strong correlation between cooperators and fair referees, which is cemented via overlapping clusters in both layers.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"148 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 novel localized least-squares collocation method for coupled bulk-surface problems
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-18 DOI: 10.1016/j.amc.2024.129250
Zhuochao Tang, Zhuojia Fu, Meng Chen, Leevan Ling
{"title":"A novel localized least-squares collocation method for coupled bulk-surface problems","authors":"Zhuochao Tang, Zhuojia Fu, Meng Chen, Leevan Ling","doi":"10.1016/j.amc.2024.129250","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129250","url":null,"abstract":"In this paper, we present a novel least-squares formulation of the Generalized Finite Difference Method (GFDM) and utilize its high-order schemes to solve the coupled bulk-surface reaction-diffusion equations. The coupled bulk-surface problems are composed of bulk equations and surface equations and coupled via some Robin-type boundary conditions. For differential operators on curved surfaces, we focus on the extrinsic definition that defines the surface operators using projection operator to tangent spaces of the surface. By utilizing localization and FD data points, the coupled model is discretized as a large sparse system using the LS-GFDM with two sets of arbitrarily distributed points. Compared with the original GFDM, the LS-GFDM brings about the advantage that it gains flexibility to use FD data points at locations different from the unknown nodal solution values. Finally, numerical demonstrations and applications of Turing pattern formations verify the effectiveness and robustness of the proposed method.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"32 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Erratum on “Synchronization and chimeras in asymmetrically coupled memristive Tabu learning neuron network” [Appl. Math. Compt. 489 (2025) 129163]
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-18 DOI: 10.1016/j.amc.2024.129248
A. Prasina, V. Samuthira Pandi, W. Nancy, K. Thilagam, K. Veena, A. Muniyappan
{"title":"Erratum on “Synchronization and chimeras in asymmetrically coupled memristive Tabu learning neuron network” [Appl. Math. Compt. 489 (2025) 129163]","authors":"A. Prasina, V. Samuthira Pandi, W. Nancy, K. Thilagam, K. Veena, A. Muniyappan","doi":"10.1016/j.amc.2024.129248","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129248","url":null,"abstract":"The errors in the recent paper [Appl. Math. Compt. 489 (2025) 129163] have been corrected in this article. We have confirmed that the modification does not impact the primary results or conclusions of Ref. Prasina et al. [1].","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"11 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
WENO based adaptive image zooming algorithm
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-18 DOI: 10.1016/j.amc.2024.129228
Bojan Crnković, Jerko Škifić, Tina Bosner
{"title":"WENO based adaptive image zooming algorithm","authors":"Bojan Crnković, Jerko Škifić, Tina Bosner","doi":"10.1016/j.amc.2024.129228","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129228","url":null,"abstract":"Zooming or upsampling images is a common technique and an essential step in many image processing algorithms. This process introduces new information that can lead to numerical effects such as ringing artifacts, aliasing effects and blurring of the image. In this paper, we propose a polynomial interpolation algorithm based on the WENO algorithm for upsampling images, which provides high accuracy in smooth regions, preserves edges and reduces aliasing effects. Although this is not the first application of WENO interpolation for image resampling, it is designed to have comparable complexity and memory load with better image quality than the separable WENO algorithm.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"1 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Protocol-based H∞ estimation for Markovian jumping delayed systems with partially unknown transition probability
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-17 DOI: 10.1016/j.amc.2024.129247
Guixiu Liu, Bing Li
{"title":"Protocol-based H∞ estimation for Markovian jumping delayed systems with partially unknown transition probability","authors":"Guixiu Liu, Bing Li","doi":"10.1016/j.amc.2024.129247","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129247","url":null,"abstract":"This article pays attention to estimation issue for the state of a particular kind of Markovian jumping delayed systems (MJDSs) with exogenous disturbances. The transition probability of Markovian process is assumed to be partially unknown for accurately reflecting the real complexity of mode switching. To avoid data collision while retaining the necessary requirement of information updating, a scheduling named MEF-TOD protocol is adopted to dynamically allocate access authorization of sensor nodes to estimator. By virtue of binary delta operator, a mode-dependent estimator is built to asymptotically approximate the real state of original system. Through taking a suitable energy functional and exploiting stochastic analysis method, several novel approaches are given to sufficiently make the error asymptotically stable under constraint of <mml:math altimg=\"si1.svg\"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msub></mml:math> performance. The gain matrices for estimator are ultimately formed through settling a series of inequalities of matrix. At last, a numerical instance exhibits the validity of proposed results.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"31 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
On the numerical verification of a counterexample on parameter-dependent Lyapunov functions
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-16 DOI: 10.1016/j.amc.2024.129246
Birgül Aksoy, Taner Büyükköroğlu, Vakif Dzhafarov
{"title":"On the numerical verification of a counterexample on parameter-dependent Lyapunov functions","authors":"Birgül Aksoy, Taner Büyükköroğlu, Vakif Dzhafarov","doi":"10.1016/j.amc.2024.129246","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129246","url":null,"abstract":"We consider the existence problem of an affine parameter-dependent quadratic Lyapunov function for a robust Hurwitz stable matrix segment. Numerical verification of the known counterexample to the known Barmish's conjecture is provided. Second order parameter-dependent quadratic Lyapunov function for this counterexample is constructed. Sufficient conditions for the existence of an affine parameter-dependent Lyapunov function are given.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"92 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Inverse spectral problems for Sturm-Liouville operators with many frozen arguments
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-13 DOI: 10.1016/j.amc.2024.129235
Chung-Tsun Shieh, Tzong-Mo Tsai
{"title":"Inverse spectral problems for Sturm-Liouville operators with many frozen arguments","authors":"Chung-Tsun Shieh, Tzong-Mo Tsai","doi":"10.1016/j.amc.2024.129235","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129235","url":null,"abstract":"This study is devoted to the inverse spectral problems of the Sturm-Liouville operator with many frozen arguments. Under certain assumptions, the authors obtained the uniqueness theorems for recovering the operator from one spectrum. Finally, a numerical simulation of the inverse problem is given.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"244 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142823229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Spectral extremal results on the Aα-spectral radius of graphs without Ka,b-minor
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-06 DOI: 10.1016/j.amc.2024.129232
Xingyu Lei, Shuchao Li
{"title":"Spectral extremal results on the Aα-spectral radius of graphs without Ka,b-minor","authors":"Xingyu Lei, Shuchao Li","doi":"10.1016/j.amc.2024.129232","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129232","url":null,"abstract":"An important theorem about the spectral Turán problem of <mml:math altimg=\"si1.svg\"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:math> was largely developed in separate papers. Recently it was completely resolved by Zhai and Lin [J. Comb. Theory, Ser. B 157 (2022) 184-215], which also confirms a conjecture proposed by Tait [J. Comb. Theory, Ser. A 166 (2019) 42-58]. Here, the prior work is fully stated, and then generalized with a self-contained proof. The more complete result is then used to better understand the relationship between the <mml:math altimg=\"si12.svg\"><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msub></mml:math>-spectral radius and the structure of the corresponding extremal <mml:math altimg=\"si1.svg\"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:math>-minor free graph.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"5 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142790138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-06 DOI: 10.1016/j.amc.2024.129231
Alicia Cordero, Renso V. Rojas-Hiciano, Juan R. Torregrosa, Maria P. Vassileva
{"title":"Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations","authors":"Alicia Cordero, Renso V. Rojas-Hiciano, Juan R. Torregrosa, Maria P. Vassileva","doi":"10.1016/j.amc.2024.129231","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129231","url":null,"abstract":"The main contribution of this manuscript is to introduce to the scientific community the concept of maximally efficient damped composed Newton-type method and the design of two schemes of this class of orders four and six. It is obtained from a different and new extension of the vectorial optimal fourth-order Ermakov's Hyperfamily, in the sense of Cordero-Torregrosa conjecture. We call this class biparametric CRTV Hyperfamily, which contains the uniparametric CRTV6S<ce:inf loc=\"post\"><ce:italic>λ</ce:italic></ce:inf> class. We define concepts, such as maximally efficient and least-eval-cost, that allow us to classify new and existing methods in terms of effectiveness, as an alternative to the tools used to date. Finally, we analyze the efficiency of the proposed family and perform numerical tests with big-sized nonlinear problems, up to size 500, comparing with other methods of the same order, low computational cost or maximum efficiency. These tests confirm the validity of the proposed class of methods.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"90 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142790132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Lp-type Heisenberg-Pauli-Weyl uncertainty principles for fractional Fourier transform
IF 4 2区 数学
Applied Mathematics and Computation Pub Date : 2024-12-05 DOI: 10.1016/j.amc.2024.129236
Xuan Chen, Pei Dang, Weixiong Mai
{"title":"Lp-type Heisenberg-Pauli-Weyl uncertainty principles for fractional Fourier transform","authors":"Xuan Chen, Pei Dang, Weixiong Mai","doi":"10.1016/j.amc.2024.129236","DOIUrl":"https://doi.org/10.1016/j.amc.2024.129236","url":null,"abstract":"In this paper we prove some <mml:math altimg=\"si1.svg\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-type Heisenberg-Pauli-Weyl uncertainty principles for complex signals with respect to fractional Fourier transform, <mml:math altimg=\"si2.svg\"><mml:mn>1</mml:mn><mml:mo>≤</mml:mo><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn>2</mml:mn></mml:math>. We also discuss the effect of shifting and scaling on the uncertainty principles. Moreover, some numerical simulations are given to demonstrate our results.","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"10 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142790133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
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