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A uniformly second order numerical method for the onedimensional discreteordinate transport equation and its diffusion limit with interface
1.  Department of Mathematics, University of Wisconsin, Madison, WI 53706 
2.  Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China, China 
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Leilei Wei, Yinnian He. A fully discrete local discontinuous Galerkin method with the generalized numerical flux to solve the tempered fractional reactiondiffusion equation. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020319 
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Vandana Sharma. Global existence and uniform estimates of solutions to reaction diffusion systems with mass transport type boundary conditions. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021001 
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Yoshihisa Morita, Kunimochi Sakamoto. Turing type instability in a diffusion model with mass transport on the boundary. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 38133836. doi: 10.3934/dcds.2020160 
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George W. Patrick. The geometry of convergence in numerical analysis. Journal of Computational Dynamics, 2021, 8 (1) : 3358. doi: 10.3934/jcd.2021003 
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Ludovick Gagnon, José M. Urquiza. Uniform boundary observability with LegendreGalerkin formulations of the 1D wave equation. Evolution Equations & Control Theory, 2021, 10 (1) : 129153. doi: 10.3934/eect.2020054 
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Mario Bukal. Wellposedness and convergence of a numerical scheme for the corrected DerridaLebowitzSpeerSpohn equation using the Hellinger distance. Discrete & Continuous Dynamical Systems  A, 2021 doi: 10.3934/dcds.2021001 
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Gheorghe Craciun, Jiaxin Jin, Casian Pantea, Adrian Tudorascu. Convergence to the complex balanced equilibrium for some chemical reactiondiffusion systems with boundary equilibria. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 13051335. doi: 10.3934/dcdsb.2020164 
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Toshiko Ogiwara, Danielle Hilhorst, Hiroshi Matano. Convergence and structure theorems for orderpreserving dynamical systems with mass conservation. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 38833907. doi: 10.3934/dcds.2020129 
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Maho Endo, Yuki Kaneko, Yoshio Yamada. Free boundary problem for a reactiondiffusion equation with positive bistable nonlinearity. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 33753394. doi: 10.3934/dcds.2020033 
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Hongbo Guan, Yong Yang, Huiqing Zhu. A nonuniform anisotropic FEM for elliptic boundary layer optimal control problems. Discrete & Continuous Dynamical Systems  B, 2021, 26 (3) : 17111722. doi: 10.3934/dcdsb.2020179 
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Adrian Viorel, Cristian D. Alecsa, Titus O. Pinţa. Asymptotic analysis of a structurepreserving integrator for damped Hamiltonian systems. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020407 
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Abdollah Borhanifar, Maria Alessandra Ragusa, Sohrab Valizadeh. Highorder numerical method for twodimensional Riesz space fractional advectiondispersion equation. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020355 
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Xinfu Chen, Huiqiang Jiang, Guoqing Liu. Boundary spike of the singular limit of an energy minimizing problem. Discrete & Continuous Dynamical Systems  A, 2020, 40 (6) : 32533290. doi: 10.3934/dcds.2020124 
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HaiLiang Li, Tong Yang, Mingying Zhong. Diffusion limit of the VlasovPoissonBoltzmann system. Kinetic & Related Models, , () : . doi: 10.3934/krm.2021003 
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Hideki Murakawa. Fast reaction limit of reactiondiffusion systems. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 10471062. doi: 10.3934/dcdss.2020405 
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Theresa Lange, Wilhelm Stannat. Mean field limit of ensemble square root filters  discrete and continuous time. Foundations of Data Science, 2021 doi: 10.3934/fods.2021003 
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Matúš Tibenský, Angela Handlovičová. Convergence analysis of the discrete duality finite volume scheme for the regularised Heston model. Discrete & Continuous Dynamical Systems  S, 2021, 14 (3) : 11811195. doi: 10.3934/dcdss.2020226 
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Xu Zhang, Chuang Zheng, Enrique Zuazua. Time discrete wave equations: Boundary observability and control. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 571604. doi: 10.3934/dcds.2009.23.571 
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Ran Zhang, Shengqiang Liu. On the asymptotic behaviour of traveling wave solution for a discrete diffusive epidemic model. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 11971204. doi: 10.3934/dcdsb.2020159 
[20] 
Gang Luo, Qingzhi Yang. The pointwise convergence of shifted symmetric higher order power method. Journal of Industrial & Management Optimization, 2021, 17 (1) : 357368. doi: 10.3934/jimo.2019115 
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