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Analysis of upscaling absolute permeability
1.  Applied & Computational Mathematics, California Institute of Technology, Pasadena, CA 91125, United States 
2.  Department of Mathematics, Texas A&M University, College Station, TX 778433368, United States 
3.  Department of Applied and Computational Mathematics, California Institute of Technology, Pasadena, CA 91125, United States 
[1] 
Kundan Kumar, Tycho van Noorden, Iuliu Sorin Pop. Upscaling of reactive flows in domains with moving oscillating boundaries. Discrete & Continuous Dynamical Systems  S, 2014, 7 (1) : 95111. doi: 10.3934/dcdss.2014.7.95 
[2] 
Zhiming Chen, Weibing Deng, Huang Ye. A new upscaling method for the solute transport equations. Discrete & Continuous Dynamical Systems  A, 2005, 13 (4) : 941960. doi: 10.3934/dcds.2005.13.941 
[3] 
Alexandre J. Chorin, Fei Lu, Robert N. Miller, Matthias Morzfeld, Xuemin Tu. Sampling, feasibility, and priors in data assimilation. Discrete & Continuous Dynamical Systems  A, 2016, 36 (8) : 42274246. doi: 10.3934/dcds.2016.36.4227 
[4] 
Peter Monk, Virginia Selgas. Sampling type methods for an inverse waveguide problem. Inverse Problems & Imaging, 2012, 6 (4) : 709747. doi: 10.3934/ipi.2012.6.709 
[5] 
Martin Hanke. Why linear sampling really seems to work. Inverse Problems & Imaging, 2008, 2 (3) : 373395. doi: 10.3934/ipi.2008.2.373 
[6] 
T. Hillen, K. Painter, Christian Schmeiser. Global existence for chemotaxis with finite sampling radius. Discrete & Continuous Dynamical Systems  B, 2007, 7 (1) : 125144. doi: 10.3934/dcdsb.2007.7.125 
[7] 
Jijiang Sun, ChunLei Tang. Resonance problems for Kirchhoff type equations. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 21392154. doi: 10.3934/dcds.2013.33.2139 
[8] 
Sergiu Aizicovici, Nikolaos S. Papageorgiou, Vasile Staicu. Nonlinear Dirichlet problems with double resonance. Communications on Pure & Applied Analysis, 2017, 16 (4) : 11471168. doi: 10.3934/cpaa.2017056 
[9] 
Leszek Gasiński, Nikolaos S. Papageorgiou. Dirichlet $(p,q)$equations at resonance. Discrete & Continuous Dynamical Systems  A, 2014, 34 (5) : 20372060. doi: 10.3934/dcds.2014.34.2037 
[10] 
D. Bonheure, C. Fabry. A variational approach to resonance for asymmetric oscillators. Communications on Pure & Applied Analysis, 2007, 6 (1) : 163181. doi: 10.3934/cpaa.2007.6.163 
[11] 
Philip Korman. Curves of equiharmonic solutions, and problems at resonance. Discrete & Continuous Dynamical Systems  A, 2014, 34 (7) : 28472860. doi: 10.3934/dcds.2014.34.2847 
[12] 
Jiying Liu, Jubo Zhu, Fengxia Yan, Zenghui Zhang. Compressive sampling and $l_1$ minimization for SAR imaging with low sampling rate. Inverse Problems & Imaging, 2013, 7 (4) : 12951305. doi: 10.3934/ipi.2013.7.1295 
[13] 
Valery Y. Glizer, Vladimir Turetsky, Emil Bashkansky. Statistical process control optimization with variable sampling interval and nonlinear expected loss. Journal of Industrial & Management Optimization, 2015, 11 (1) : 105133. doi: 10.3934/jimo.2015.11.105 
[14] 
Jingzhi Li, Hongyu Liu, Qi Wang. Fast imaging of electromagnetic scatterers by a twostage multilevel sampling method. Discrete & Continuous Dynamical Systems  S, 2015, 8 (3) : 547561. doi: 10.3934/dcdss.2015.8.547 
[15] 
Tian Xiang. On effects of sampling radius for the nonlocal PatlakKellerSegel chemotaxis model. Discrete & Continuous Dynamical Systems  A, 2014, 34 (11) : 49114946. doi: 10.3934/dcds.2014.34.4911 
[16] 
Jingzhi Li, Jun Zou. A direct sampling method for inverse scattering using farfield data. Inverse Problems & Imaging, 2013, 7 (3) : 757775. doi: 10.3934/ipi.2013.7.757 
[17] 
Lorenzo Audibert. The Generalized Linear Sampling and factorization methods only depends on the sign of contrast on the boundary. Inverse Problems & Imaging, 2017, 11 (6) : 11071119. doi: 10.3934/ipi.2017051 
[18] 
Reuven Cohen, Mira Gonen, Avishai Wool. Bounding the bias of treelike sampling in IP topologies. Networks & Heterogeneous Media, 2008, 3 (2) : 323332. doi: 10.3934/nhm.2008.3.323 
[19] 
Anupama N, Sudarson Jena. A novel approach using incremental under sampling for data stream mining. Big Data & Information Analytics, 2017, 2 (5) : 113. doi: 10.3934/bdia.2017017 
[20] 
Shixin Xu, Xingye Yue, Changrong Zhang. Homogenization: In mathematics or physics?. Discrete & Continuous Dynamical Systems  S, 2016, 9 (5) : 15751590. doi: 10.3934/dcdss.2016064 
2018 Impact Factor: 1.008
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