发布求助
文献互助 智能选刊 最新文献

Communications in Nonlinear Science and Numerical Simulation最新文献

筛选
英文 中文
An asymmetrical body: Example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect 不对称体：基本函数中旋转矩阵的分析解法实例和 Dzhanibekov 效应
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-03 DOI: 10.1016/j.cnsns.2024.108257
{"title":"An asymmetrical body: Example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect","authors":"","doi":"10.1016/j.cnsns.2024.108257","DOIUrl":"10.1016/j.cnsns.2024.108257","url":null,"abstract":"<div><p>We solved the Poisson equations, obtaining their exact solution in elementary functions for the rotation matrix of a free asymmetrical body with angular velocity vector lying on separatrices. This allows us to discuss the temporal evolution of Dzhanibekov’s nut directly in the laboratory system, where it is observed. The rotation matrix depends on two parameters with clear physical interpretation as a frequency and a damping factor of the solution. Qualitative analysis of the solution shows that it properly describes a single-jump Dzhanibekov effect.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915320","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
High-Order Block Toeplitz Inner-Bordering method for solving the Gelfand–Levitan–Marchenko equation 求解格尔凡-列维坦-马尔琴科方程的高阶块托普利兹内边界法
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-02 DOI: 10.1016/j.cnsns.2024.108255
{"title":"High-Order Block Toeplitz Inner-Bordering method for solving the Gelfand–Levitan–Marchenko equation","authors":"","doi":"10.1016/j.cnsns.2024.108255","DOIUrl":"10.1016/j.cnsns.2024.108255","url":null,"abstract":"<div><p>We propose a high precision algorithm for solving the Gelfand–Levitan–Marchenko equation. The algorithm is based on the block version of the Toeplitz Inner-Bordering algorithm of Levinson’s type. To approximate integrals, we use the high-precision one-sided and two-sided Gregory quadrature formulas. Also we use the Woodbury formula to construct a computational algorithm. This makes it possible to use the almost Toeplitz structure of the matrices for the fast calculations. To the best of our knowledge, this is the first algorithm to solve this problem with an order of accuracy higher than the second.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915333","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
Convergence analysis of an efficient scheme for the steady state second grade fluid model 稳态二级流体模型高效方案的收敛分析
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-02 DOI: 10.1016/j.cnsns.2024.108254
{"title":"Convergence analysis of an efficient scheme for the steady state second grade fluid model","authors":"","doi":"10.1016/j.cnsns.2024.108254","DOIUrl":"10.1016/j.cnsns.2024.108254","url":null,"abstract":"<div><p>We are interested in studying the stationary second grade fluid model in a bounded domain in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>. To approximate the solution of the continuous model, we propose a fully decoupled numerical scheme based on a splitting method combined with the use of the <strong>Grad–Div</strong> operator. This approach allows the complete decoupling of the three variables: velocity, pressure and vorticity. Each variable is computed using an iterative procedure, with the pressure step involving a simple <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-projection.</p><p>We provide a proof of the convergence of the scheme to the continuous problem under smallness assumptions on the data. This theoretical analysis ensures the reliability of our method in approximating the behavior of the stationary second grade fluid model.</p><p>Finally, we present several numerical tests to validate our approach. These tests illustrate the effectiveness and efficiency of our scheme in various scenarios, highlighting its potential applicability to a wide range of problems involving second grade fluids.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915321","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
An emotion-information spreading model in social media on multiplex networks 多路网络社交媒体中的情感信息传播模型
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-07-31 DOI: 10.1016/j.cnsns.2024.108251
{"title":"An emotion-information spreading model in social media on multiplex networks","authors":"","doi":"10.1016/j.cnsns.2024.108251","DOIUrl":"10.1016/j.cnsns.2024.108251","url":null,"abstract":"<div><p>The digital age has seen an exponential increase in the creation and dissemination of information, while the post-truth era has amplified the role of emotion in the spread of news. To prevent the outbreak of negative public sentiment due to uncontrolled emotional responses, it is critical to investigate the interplay between these two factors during the propagation. Therefore, we develop an emotion-information multiplex network based on the topic discussion function of social media. According to the influence of emotion on information transmission, emotion is divided into positive, negative and uninterested which are introduced into the standard SIR model. The microscopic Markov chain approach (MMCA) is used to analyze the outbreak threshold proving that emotion affects the threshold of information propagation. The extensive Monte Carlo (MC) simulations show that the average degree of information layer affects the emotional atmosphere. Secondly, the rapid dissemination of information will widen the emotional differences between people. Finally, positive or uninterested can easily become the dominant emotion of the group, and the group effect is more easily reflected in the user’s supportive attitude rather than the opposition attitude.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915324","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
The stabilized nonconforming virtual element method for the Darcy–Stokes problem 达西-斯托克斯问题的稳定不符虚拟元素法
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-07-31 DOI: 10.1016/j.cnsns.2024.108252
{"title":"The stabilized nonconforming virtual element method for the Darcy–Stokes problem","authors":"","doi":"10.1016/j.cnsns.2024.108252","DOIUrl":"10.1016/j.cnsns.2024.108252","url":null,"abstract":"<div><p>A stabilized nonconforming virtual element method is designed in order to solve the Darcy–Stokes problem, which preserves a divergence-free approximation to the velocity. The same degrees of freedom as the usual Crouzeix–Raviart-type virtual element is used, but a different virtual element space is obtained by modifying the conforming Stokes virtual element with the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-projection operator. The proposed stabilized scheme contains two jump penalty terms over edges. One is the penalty for jumps of velocity approximation and the other one is the penalty for jumps of its normal component. We analyze this method’s well-posedness and prove its uniform convergence in a discrete energy norm. Finally, we verify the validity of this stabilized scheme by some numerical experiments.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915327","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 fast Euler–Maruyama scheme and its strong convergence for multi-term Caputo tempered fractional stochastic differential equations 多期卡普托节制分式随机微分方程的快速欧拉-丸山方案及其强收敛性
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-07-31 DOI: 10.1016/j.cnsns.2024.108253
{"title":"A fast Euler–Maruyama scheme and its strong convergence for multi-term Caputo tempered fractional stochastic differential equations","authors":"","doi":"10.1016/j.cnsns.2024.108253","DOIUrl":"10.1016/j.cnsns.2024.108253","url":null,"abstract":"<div><p>In this paper, we consider a kind of multi-term Caputo tempered fractional stochastic differential equations and prove the existence and uniqueness of the true solution. Then we derive an Euler–Maruyama (EM) scheme to solve the considered equations. In view of the huge computational cost caused by the EM scheme to achieve reasonable accuracy, a fast EM scheme is proposed based on the sum-of-exponentials approximation to improve its computational efficiency. Moreover, the strong convergence of our two numerical schemes are proved. Finally, several numerical examples are carried out to support our theoretical results and demonstrate the superior computational efficiency of the fast EM scheme.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141915322","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
Efficient valuation of variable annuities under regime-switching jump diffusion models with surrender risk and mortality risk 具有退保风险和死亡率风险的制度转换跃迁扩散模型下变额年金的有效估值
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-07-30 DOI: 10.1016/j.cnsns.2024.108246
{"title":"Efficient valuation of variable annuities under regime-switching jump diffusion models with surrender risk and mortality risk","authors":"","doi":"10.1016/j.cnsns.2024.108246","DOIUrl":"10.1016/j.cnsns.2024.108246","url":null,"abstract":"<div><p>We present an efficient valuation approach for guaranteed minimum accumulation benefits (GMABs), guaranteed minimum death benefits (GMDBs), and surrender benefits (SBs) embedded in variable annuity (VA) contracts in a regime-switching jump diffusion model. We incorporate into the contract the risks of mortality and surrender, with these events generally monitored discretely over the life of the policy. Using a combination of the continuous-time Markov chain (CTMC) approximation and the Fourier cosine series expansion (COS) method, we determine that the valuation problem can be resolved within a regime-switching jump diffusion framework. Extensive numerical experiments showcase the efficiency of the proposed method, which proves to be more advantageous when compared to existing approaches like Monte Carlo (MC) simulation. The thorough analysis explores how model parameters affect the valuation outcomes.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141891964","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
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs Mikusiński 的多维分数算子运算微积分及其在分数 PDE 中的应用
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-07-27 DOI: 10.1016/j.cnsns.2024.108249
{"title":"Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs","authors":"","doi":"10.1016/j.cnsns.2024.108249","DOIUrl":"10.1016/j.cnsns.2024.108249","url":null,"abstract":"<div><p>We construct, for the first time, a Mikusiński-type operational calculus structure for partial differential operators of non-integer order. Our operators are of Riemann–Liouville type, and in arbitrary dimensions, although we often focus on the two-dimensional case as a model problem. We establish suitable function spaces, algebraic properties, and interpretations of multi-dimensional fractional integral and derivative operators. As an example application, we consider a fractional differential equation in two dimensions posed on the first quadrant, and find its explicit solution using Wright functions.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141853103","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
Threshold dynamics of a diffusive HIV infection model with infection-age, latency and cell–cell transmission 具有感染年龄、潜伏期和细胞-细胞传播的扩散型艾滋病毒感染模型的阈值动力学
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-07-26 DOI: 10.1016/j.cnsns.2024.108248
{"title":"Threshold dynamics of a diffusive HIV infection model with infection-age, latency and cell–cell transmission","authors":"","doi":"10.1016/j.cnsns.2024.108248","DOIUrl":"10.1016/j.cnsns.2024.108248","url":null,"abstract":"<div><p>This work intends to analyze the global threshold dynamics of an HIV infection model with age-space structure, latency and two transmission paths (virus to cell and cell to cell) under the Neumann boundary condition. The original model is converted into a hybrid system comprising two Volterra integral equations and two partial differential equations by integrating along the characteristic line. The well-posedness of the model is demonstrated by showing that the solution exists globally by virtue of the fixed point theory. In order to discuss whether the infection is persistent or extinct, we provide the explicit formulation of the basic reproduction number. By analyzing the roots distribution of the characteristic equations and constructing proper Lyapunov functionals, the local and global stability for different steady states are achieved. Numerical simulations are conducted to confirm our theoretical results.</p></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141844820","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
Corrigendum to “Strong convergence theorem of a new modified Bregman extragradient method to solve fixed point problems and variational inequality problems in general reflexive Banach spaces [Communications in Nonlinear Science and Numerical Simulation, 135, (2024): CNSNS 108051] 对 "解决一般反身巴拿赫空间中定点问题和变分不等式问题的新修正布雷格曼外梯度法的强收敛定理[非线性科学与数值模拟通信，135，（2024）：CNSNS 108051]
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-07-26 DOI: 10.1016/j.cnsns.2024.108227
{"title":"Corrigendum to “Strong convergence theorem of a new modified Bregman extragradient method to solve fixed point problems and variational inequality problems in general reflexive Banach spaces [Communications in Nonlinear Science and Numerical Simulation, 135, (2024): CNSNS 108051]","authors":"","doi":"10.1016/j.cnsns.2024.108227","DOIUrl":"10.1016/j.cnsns.2024.108227","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S100757042400412X/pdfft?md5=c8305ab1de13797e9adcb3103b615ba1&pid=1-s2.0-S100757042400412X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141853321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页
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