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Communications in Nonlinear Science and Numerical Simulation最新文献

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A Class of Feedback Control Problems in Bingham Flow 一类Bingham流的反馈控制问题
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-02-03 DOI: 10.1016/j.cnsns.2026.109813
Jiangfeng Han, Yanhe Mo, Zhenhai Liu, Stanislaw Migorski
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引用次数: 0
On the Long Time Existence of a Fractional KdV-BBM Type Equation 分数阶KdV-BBM型方程的长时间存在性
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-02-03 DOI: 10.1016/j.cnsns.2026.109809
Goksu Oruc
{"title":"On the Long Time Existence of a Fractional KdV-BBM Type Equation","authors":"Goksu Oruc","doi":"10.1016/j.cnsns.2026.109809","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109809","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"39 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110507","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
Dynamical Robustness of Higher-order Complex Networks 高阶复杂网络的动态鲁棒性
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-02-01 DOI: 10.1016/j.cnsns.2026.109812
Hongmiao Wang, Linying Xiang, Fei Chen
{"title":"Dynamical Robustness of Higher-order Complex Networks","authors":"Hongmiao Wang, Linying Xiang, Fei Chen","doi":"10.1016/j.cnsns.2026.109812","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109812","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"41 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146110767","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
Fully distributed secure bipartite containment control for multi-agent systems under sensor faults and external disturbances: application to UMVs 传感器故障和外部干扰下多智能体系统的完全分布式安全二部遏制控制：在无人驾驶汽车上的应用
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-01-31 DOI: 10.1016/j.cnsns.2026.109804
Yanjun Zhao, Haibin Sun, Linlin Hou, Dong Yang
{"title":"Fully distributed secure bipartite containment control for multi-agent systems under sensor faults and external disturbances: application to UMVs","authors":"Yanjun Zhao, Haibin Sun, Linlin Hou, Dong Yang","doi":"10.1016/j.cnsns.2026.109804","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109804","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"381 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146095739","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
Analysis of Semilinear Fractional Integro-Differential Equations Governed by Compact Semigroups 紧半群控制的半线性分数阶积分微分方程的分析
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-01-31 DOI: 10.1016/j.cnsns.2026.109789
M.H.M. Rashid
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引用次数: 0
Autoregressive random matrix theory based on the q-dependent detrended cross-correlation coefficient 基于q相关去趋势互相关系数的自回归随机矩阵理论
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-01-31 DOI: 10.1016/j.cnsns.2026.109782
Bei Tan, Fang Wang, Zu-Guo Yu
{"title":"Autoregressive random matrix theory based on the q-dependent detrended cross-correlation coefficient","authors":"Bei Tan, Fang Wang, Zu-Guo Yu","doi":"10.1016/j.cnsns.2026.109782","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109782","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"260 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146089382","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
Nonexistence of nontrivial global weak solutions for damping p-Laplacian wave equations with combined nonlinearities 组合非线性阻尼p-拉普拉斯波动方程非平凡整体弱解的不存在性
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-01-29 DOI: 10.1016/j.cnsns.2026.109801
Yinting Liu, Housen Wang, Qiang Liu
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引用次数: 0
Unconditionally superconvergent error analysis of an energy-conservative Galerkin method for the nonlinear Schrödinger equation with wave operator 带波算子非线性Schrödinger方程的能量守恒Galerkin方法的无条件超收敛误差分析
IF 3.8 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-01-29 DOI: 10.1016/j.cnsns.2026.109807
Xin Liao, Lele Wang, Huaijun Yang
In this paper, based on the method of order reduction in time, an energy-conservative modified Crank-Nicolson Galerkin scheme is proposed and the unconditionally superconvergent error analysis is investigated for the nonlinear Schrödinger equation with wave operator in two dimensions. The existence and uniqueness of numerical solution are discussed. Unlike the boundedness of numerical solutions in L∞-norm used in the previous work, the key to our analysis is to novelly employ the boundedness of the numerical solution in H1-norm derived from the energy-conservative property to deal with the nonlinear term strictly and skillfully. By means of the high accuracy estimate of the bilinear element on the rectangular mesh,the unconditionally superclose error estimate is obtained without any restrictions on the ratio of temporal-spatial step-szie. Furthermore, the unconditionally superconvergence error estimate is acquired by an interpolation post-processing approach. Finally, numerical experiments are carried out to demonstrate the expected accuracy and conservation of proposed schemes.
本文基于时间降阶方法，提出了一种能量保守的修正Crank-Nicolson Galerkin格式，并研究了二维波算子非线性Schrödinger方程的无条件超收敛误差分析。讨论了数值解的存在唯一性。与以往工作中使用的L∞范数数值解的有界性不同，本文分析的关键在于新颖地利用了由能量守恒性质导出的h1 -范数数值解的有界性来严格而巧妙地处理非线性项。通过对矩形网格上双线性单元的高精度估计，在不受时空步长比限制的情况下，获得了无条件超接近误差估计。此外，通过插值后处理方法获得了无条件超收敛误差估计。最后，通过数值实验验证了所提格式的精度和守恒性。
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引用次数: 0
Stability and error estimates of a second-order decoupled finite element method for the time-dependent Stokes-Biot problem 时变Stokes-Biot问题二阶解耦有限元法的稳定性和误差估计
IF 3.8 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-01-29 DOI: 10.1016/j.cnsns.2026.109806
Liming Guo, Shishun Li
In this paper, we propose a second-order in time decoupled finite element method for the time-dependent Stokes-Biot problem. Our numerical scheme is a combination of the second-order backward differentiation formula and the second-order Gear’s extrapolation approach. It uncouples the original problem into two decoupled problems, the Stokes model and the Biot model. We establish the stability of the proposed fully-discrete finite element scheme in both the L2-norm and the H1-norm, and derive the corresponding error estimates. Numerical results show that our algorithm delivers faster computation and lower memory usage than monolithic methods while maintaining comparable accuracy.
本文提出了求解时变Stokes-Biot问题的二阶时间解耦有限元方法。我们的数值方案是二阶后向微分公式和二阶齿轮外推方法的结合。它将原问题分解为两个解耦的问题，Stokes模型和Biot模型。我们建立了所提出的全离散有限元格式在l2范数和h1范数下的稳定性，并推导了相应的误差估计。数值结果表明，我们的算法在保持相当精度的同时，提供了比单片方法更快的计算和更低的内存使用。
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引用次数: 0
Differentiable minimization problems for variational-hemivariational inequalities 变分-半变分不等式的可微极小化问题
IF 3.9 2区 数学 Q1 MATHEMATICS, APPLIED
Communications in Nonlinear Science and Numerical Simulation
Pub Date : 2026-01-29 DOI: 10.1016/j.cnsns.2026.109805
Rong Hu, Dong-Ling Cai, Yi-Bin Xiao, Wei Li
{"title":"Differentiable minimization problems for variational-hemivariational inequalities","authors":"Rong Hu, Dong-Ling Cai, Yi-Bin Xiao, Wei Li","doi":"10.1016/j.cnsns.2026.109805","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109805","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"17 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072036","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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