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Networks and Heterogeneous Media, Volume 18
Volume 18, Number 1, 2022
- Jan Friedrich
, Simone Göttlich, Annika Uphoff:
Conservation laws with discontinuous flux function on networks: a splitting algorithm. 1-28 - Hyunjin Ahn:
Asymptotic flocking of the relativistic Cucker-Smale model with time delay. 29-47 - Qing Li, Steinar Evje:
Learning the nonlinear flux function of a hidden scalar conservation law from data. 48-79 - Kota Kumazaki, Toyohiko Aiki, Adrian Muntean:
Local existence of a solution to a free boundary problem describing migration into rubber with a breaking effect. 80-108 - Caihong Gu, Yanbin Tang
Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity. 109-139 - Raimund Bürger
A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows. 140-190 - Congyin Fan, Wenting Chen, Bing Feng:
Pricing stock loans under the L$ \acute{e} $vy-$ \alpha $-stable process with jumps. 191-211 - L. L. Sun, M. L. Chang:
Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem. 212-243 - Divya Pandey, Vandana Kushwaha:
The use of Analytical Hierarchy Process in sensor-based networks for security-aware congestion control. 244-274 - Jose S. Cánovas:
The dynamics of coupled logistic maps. 275-290 - Zhe Pu
Effective difference methods for solving the variable coefficient fourth-order fractional sub-diffusion equations. 291-309 - Michael Herty, Niklas Kolbe, Siegfried Müller:
Central schemes for networked scalar conservation laws. 310-340 - Lili Jia, Changyou Wang, Zongxin Lei:
Synchronization of nonautonomous neural networks with Caputo derivative and time delay. 341-358 - Tong Yan:
The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation. 359-379 - Felisia Angela Chiarello
Nonlocal scalar conservation laws with discontinuous flux. 380-398
Volume 18, Number 1, 2023
- Jin Cui, Yayun Fu:
A high-order linearly implicit energy-preserving Partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations. 399-411 - Dingwen Deng, Jingliang Chen:
Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays. 412-443 - Chuanjiang Li, Shaobo Li, Lei Yang, Hongjing Wei, Ansi Zhang, Yizong Zhang
A novel multiscale hybrid neural network for intelligent fine-grained fault diagnosis. 444-462 - Junjie Wang, Yaping Zhang, Liangliang Zhai:
Structure-preserving scheme for one dimension and two dimension fractional KGS equations. 463-493 - Yinlin Ye
SLeNN-ELM: A shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine. 494-512
Volume 18, Number 2, 2023
- Yipeng Chen, Yicheng Liu, Xiao Wang:
The critical delay of the consensus for a class of multi-agent system involving task strategies. 513-531 - Liuchao Xiao, Wenbo Li, Leilei Wei, Xindong Zhang:
A fully discrete local discontinuous Galerkin method for variable-order fourth-order equation with Caputo-Fabrizio derivative based on generalized numerical fluxes. 532-546 - Li-Bin Liu, Yige Liao, Guangqing Long:
Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation. 547-561 - Rong Huang, Zhifeng Weng:
A numerical method based on barycentric interpolation collocation for nonlinear convection-diffusion optimal control problems. 562-580 - Tong Li, Nitesh Mathur:
Global well-posedness and asymptotic behavior of $ BV $ solutions to a system of balance laws arising in traffic flow. 581-600 - Fermín S. V. Bazán, Luciano Bedin, Koung Hee Leem, Jun Liu, George Pelekanos:
Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems. 601-621 - Qiumin Wu, Ziqi Zhu, Jiahui Tang, Yukang Xia:
Fault diagnosis of printing press bearing based on deformable convolution residual neural network. 622-646 - Ming-Kai Wang, Cheng Wang, Jun-Feng Yin:
A second-order ADI method for pricing options under fractional regime-switching models. 647-663 - Raimund Bürger
A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. 664-693 - Caterina Balzotti, Maya Briani, Benedetto Piccoli:
Emissions minimization on road networks via Generic Second Order Models. 694-722 - Maria Teresa Chiri, Xiaoqian Gong, Benedetto Piccoli:
Mean-field limit of a hybrid system for multi-lane car-truck traffic. 723-752 - Yin Yang, Aiguo Xiao:
Dissipativity and contractivity of the second-order averaged L1 method for fractional Volterra functional differential equations. 753-774 - Xiaoqian Gong, Alexander Keimer
On the well-posedness of the "Bando-follow the leader" car following model and a time-delayed version. 775-798 - Diandian Huang, Xin Huang, Tingting Qin, Yongtao Zhou:
A transformed $ L1 $ Legendre-Galerkin spectral method for time fractional Fokker-Planck equations. 799-812 - Yuntian Zhang, Xiaoliang Chen, Zexia Huang, Xianyong Li, Yajun Du:
Managing consensus based on community classification in opinion dynamics. 813-841 - A. C. Rocha, Luiz Henrique Alves Monteiro:
On the spread of charitable behavior in a social network: a model based on game theory. 842-854 - Yaxin Hou, Cao Wen, Yang Liu, Hong Li:
A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation. 855-876 - Amaury Hayat
Stability of multi-population traffic flows. 877-905 - Antoine Tordeux, Claudia Totzeck:
Multi-scale description of pedestrian collective dynamics with port-Hamiltonian systems. 906-929 - Paola Goatin, Chiara Daini, Maria Laura Delle Monache
Interacting moving bottlenecks in traffic flow. 930-945
Volume 18, Number 3, 2023
- Wen Dong, Dongling Wang:
Mittag-Leffler stability of numerical solutions to linear homogeneous time fractional parabolic equations. 946-956 - Min Li, Ju Ming, Tingting Qin, Boya Zhou:
Convergence of an energy-preserving finite difference method for the nonlinear coupled space-fractional Klein-Gordon equations. 957-981 - A. M. Ishtiaque Mahbub, Behdad Chalaki, Andreas A. Malikopoulos
A constrained optimal control framework for vehicle platoons with delayed communication. 982-1005 - Zhi Mao
A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations. 1006-1023 - Yongqiang Zhao, Yanbin Tang
Approximation of solutions to integro-differential time fractional wave equations in $ L^{p}- $space. 1024-1058 - Mahmoud Saleh, Endre Kovács, Nagaraja Kallur:
Adaptive step size controllers based on Runge-Kutta and linear-neighbor methods for solving the non-stationary heat conduction equation. 1059-1082 - Yinlin Ye
An artificial neural network approach for a class of time-fractional diffusion and diffusion-wave equations. 1083-1104 - Tingting Ma, Yayun Fu, Yuehua He, Wenjie Yang:
A linearly implicit energy-preserving exponential time differencing scheme for the fractional nonlinear Schrödinger equation. 1105-1117 - Junlong Chen, Yanbin Tang
Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure. 1118-1177 - Lifang Pei, Man Zhang, Meng Li:
A novel error analysis of nonconforming finite element for the clamped Kirchhoff plate with elastic unilateral obstacle. 1178-1189 - Thibault Liard, Raphael E. Stern, Maria Laura Delle Monache
A PDE-ODE model for traffic control with autonomous vehicles. 1190-1206 - Grigor Nika, Adrian Muntean:
Hypertemperature effects in heterogeneous media and thermal flux at small-length scales. 1207-1225 - Matteo Novaga
Isoperimetric planar clusters with infinitely many regions. 1226-1235 - Patrizia Donato, Olivier Guibé, Alip Oropeza:
Corrector results for a class of elliptic problems with nonlinear Robin conditions and $ L^1 $ data. 1236-1259 - Jin Li, Jinzheng Qu, Xibo Duan, Xiaoning Su:
An image encryption algorithm based on heat flow cryptosystems. 1260-1287
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