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Convergence of a finite volume scheme for nonlocal reactiondiffusion systems modelling an epidemic disease
Lifting in equationfree methods for molecular dynamics simulations of dense fluids
1.  Department of Computer Science, K.U.Leuven, Celestijnenlaan 200A, B3001 Leuven, Belgium, Belgium, Belgium, Belgium 
2.  Polymer Research Division, Department of Chemistry, K.U.Leuven, Celestijnenlaan 200F, B3001 Leuven, Belgium, Belgium 
[1] 
Katherine A. Bold, Karthikeyan Rajendran, Balázs Ráth, Ioannis G. Kevrekidis. An equationfree approach to coarsegraining the dynamics of networks. Journal of Computational Dynamics, 2014, 1 (1) : 111134. doi: 10.3934/jcd.2014.1.111 
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Antonios Zagaris, Christophe Vandekerckhove, C. William Gear, Tasso J. Kaper, Ioannis G. Kevrekidis. Stability and stabilization of the constrained runs schemes for equationfree projection to a slow manifold. Discrete and Continuous Dynamical Systems, 2012, 32 (8) : 27592803. doi: 10.3934/dcds.2012.32.2759 
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Constantinos Siettos. Equationfree computation of coarsegrained center manifolds of microscopic simulators. Journal of Computational Dynamics, 2014, 1 (2) : 377389. doi: 10.3934/jcd.2014.1.377 
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Sébastien Guisset. Angular moments models for rarefied gas dynamics. Numerical comparisons with kinetic and NavierStokes equations. Kinetic and Related Models, 2020, 13 (4) : 739758. doi: 10.3934/krm.2020025 
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Kai Koike. Wall effect on the motion of a rigid body immersed in a free molecular flow. Kinetic and Related Models, 2018, 11 (3) : 441467. doi: 10.3934/krm.2018020 
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Steven T. Piantadosi. Symbolic dynamics on free groups. Discrete and Continuous Dynamical Systems, 2008, 20 (3) : 725738. doi: 10.3934/dcds.2008.20.725 
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Arthur Henrique Caixeta, Irena Lasiecka, Valéria Neves Domingos Cavalcanti. On long time behavior of MooreGibsonThompson equation with molecular relaxation. Evolution Equations and Control Theory, 2016, 5 (4) : 661676. doi: 10.3934/eect.2016024 
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Carlos JerezHanckes, Irina Pettersson, Volodymyr Rybalko. Derivation of cable equation by multiscale analysis for a model of myelinated axons. Discrete and Continuous Dynamical Systems  B, 2020, 25 (3) : 815839. doi: 10.3934/dcdsb.2019191 
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Thomas Y. Hou, Danping Yang, Hongyu Ran. Multiscale analysis in Lagrangian formulation for the 2D incompressible Euler equation. Discrete and Continuous Dynamical Systems, 2005, 13 (5) : 11531186. doi: 10.3934/dcds.2005.13.1153 
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John Sylvester. An estimate for the free Helmholtz equation that scales. Inverse Problems and Imaging, 2009, 3 (2) : 333351. doi: 10.3934/ipi.2009.3.333 
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JiaFeng Cao, WanTong Li, FeiYing Yang. Dynamics of a nonlocal SIS epidemic model with free boundary. Discrete and Continuous Dynamical Systems  B, 2017, 22 (2) : 247266. doi: 10.3934/dcdsb.2017013 
[12] 
Lei Li, Jianping Wang, Mingxin Wang. The dynamics of nonlocal diffusion systems with different free boundaries. Communications on Pure and Applied Analysis, 2020, 19 (7) : 36513672. doi: 10.3934/cpaa.2020161 
[13] 
Hongfei Yang, Xiaofeng Ding, Raymond Chan, Hui Hu, Yaxin Peng, Tieyong Zeng. A new initialization method based on normed statistical spaces in deep networks. Inverse Problems and Imaging, 2021, 15 (1) : 147158. doi: 10.3934/ipi.2020045 
[14] 
Xiaoshan Chen, Fahuai Yi. Free boundary problem of Barenblatt equation in stochastic control. Discrete and Continuous Dynamical Systems  B, 2016, 21 (5) : 14211434. doi: 10.3934/dcdsb.2016003 
[15] 
Igor Kukavica, Amjad Tuffaha. On the 2D free boundary Euler equation. Evolution Equations and Control Theory, 2012, 1 (2) : 297314. doi: 10.3934/eect.2012.1.297 
[16] 
Kai Cao, Xiongping Dai. Lifting the regionally proximal relation and characterizations of distal extensions. Discrete and Continuous Dynamical Systems, 2022, 42 (5) : 21032174. doi: 10.3934/dcds.2021186 
[17] 
Mingxin Wang, Qianying Zhang. Dynamics for the diffusive LeslieGower model with double free boundaries. Discrete and Continuous Dynamical Systems, 2018, 38 (5) : 25912607. doi: 10.3934/dcds.2018109 
[18] 
Micah Webster, Patrick Guidotti. Boundary dynamics of a twodimensional diffusive free boundary problem. Discrete and Continuous Dynamical Systems, 2010, 26 (2) : 713736. doi: 10.3934/dcds.2010.26.713 
[19] 
Weiyi Zhang, Zuhan Liu, Ling Zhou. Dynamics of a nonlocal diffusive logistic model with free boundaries in time periodic environment. Discrete and Continuous Dynamical Systems  B, 2021, 26 (7) : 37673784. doi: 10.3934/dcdsb.2020256 
[20] 
Rong Wang, Yihong Du. Longtime dynamics of a diffusive epidemic model with free boundaries. Discrete and Continuous Dynamical Systems  B, 2021, 26 (4) : 22012238. doi: 10.3934/dcdsb.2020360 
2020 Impact Factor: 1.327
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