Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P.; Shu, Chi-Wang Well-balanced finite-volume schemes for hydrodynamic equations with general free energy. (English) Zbl 1434.82098 Multiscale Model. Simul. 18, No. 1, 502-541 (2020). MSC: 82M12 82B05 35Q35 35Q82 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Multiscale Model. Simul. 18, No. 1, 502--541 (2020; Zbl 1434.82098) Full Text: DOI arXiv
Chung, Eric; Efendiev, Yalchin; Li, Yanbo; Li, Qin Generalized multiscale finite element method for the steady state linear Boltzmann equation. (English) Zbl 1434.65244 Multiscale Model. Simul. 18, No. 1, 475-501 (2020). MSC: 65N30 65N12 35Q20 PDFBibTeX XMLCite \textit{E. Chung} et al., Multiscale Model. Simul. 18, No. 1, 475--501 (2020; Zbl 1434.65244) Full Text: DOI arXiv
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Méhats, Florian A micro-macro method for a kinetic graphene model in one space dimension. (English) Zbl 1434.82078 Multiscale Model. Simul. 18, No. 1, 444-474 (2020). MSC: 82C70 82M20 65M06 35Q82 35Q40 35L03 74Q10 65M12 PDFBibTeX XMLCite \textit{N. Crouseilles} et al., Multiscale Model. Simul. 18, No. 1, 444--474 (2020; Zbl 1434.82078) Full Text: DOI
Deng, Weihua; Wang, Xudong; Zhang, Pingwen Anisotropic nonlocal diffusion operators for normal and anomalous dynamics. (English) Zbl 1448.60192 Multiscale Model. Simul. 18, No. 1, 415-443 (2020). MSC: 60K50 35R11 82C31 PDFBibTeX XMLCite \textit{W. Deng} et al., Multiscale Model. Simul. 18, No. 1, 415--443 (2020; Zbl 1448.60192) Full Text: DOI arXiv
Donovan, Preston; Rathinam, Muruhan Homogenization of a random walk on a graph in \(\mathbb{R}^d\): an approach to predict macroscale diffusivity in media with finescale obstructions and interactions. (English) Zbl 1440.60026 Multiscale Model. Simul. 18, No. 1, 383-414 (2020). MSC: 60F17 60J27 PDFBibTeX XMLCite \textit{P. Donovan} and \textit{M. Rathinam}, Multiscale Model. Simul. 18, No. 1, 383--414 (2020; Zbl 1440.60026) Full Text: DOI arXiv
Dimarco, Giacomo; Pareschi, Lorenzo Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. (English) Zbl 1433.76150 Multiscale Model. Simul. 18, No. 1, 351-382 (2020). MSC: 76P05 76M28 65M75 65C05 PDFBibTeX XMLCite \textit{G. Dimarco} and \textit{L. Pareschi}, Multiscale Model. Simul. 18, No. 1, 351--382 (2020; Zbl 1433.76150) Full Text: DOI arXiv
Spiliopoulos, Konstantinos; Morse, Matthew R. Importance sampling for slow-fast diffusions based on moderate deviations. (English) Zbl 1440.60024 Multiscale Model. Simul. 18, No. 1, 315-350 (2020). MSC: 60F05 60F10 60G99 65C05 PDFBibTeX XMLCite \textit{K. Spiliopoulos} and \textit{M. R. Morse}, Multiscale Model. Simul. 18, No. 1, 315--350 (2020; Zbl 1440.60024) Full Text: DOI arXiv
Heida, Martin; Kornhuber, Ralf; Podlesny, Joscha Fractal homogenization of multiscale interface problems. (English) Zbl 1437.35204 Multiscale Model. Simul. 18, No. 1, 294-314 (2020). MSC: 35J15 35A01 35A02 PDFBibTeX XMLCite \textit{M. Heida} et al., Multiscale Model. Simul. 18, No. 1, 294--314 (2020; Zbl 1437.35204) Full Text: DOI arXiv
Ammari, Habib; Challa, Durga Prasad; Choudhury, Anupam Pal; Sini, Mourad The equivalent media generated by bubbles of high contrasts: volumetric metamaterials and metasurfaces. (English) Zbl 1439.35555 Multiscale Model. Simul. 18, No. 1, 240-293 (2020). MSC: 35R30 35C20 35J05 PDFBibTeX XMLCite \textit{H. Ammari} et al., Multiscale Model. Simul. 18, No. 1, 240--293 (2020; Zbl 1439.35555) Full Text: DOI arXiv
Dana, Saumik; Ita, Joel; Wheeler, Mary F. The correspondence between Voigt and Reuss bounds and the decoupling constraint in a two-grid staggered algorithm for consolidation in heterogeneous porous media. (English) Zbl 1433.74093 Multiscale Model. Simul. 18, No. 1, 221-239 (2020). MSC: 74Q20 PDFBibTeX XMLCite \textit{S. Dana} et al., Multiscale Model. Simul. 18, No. 1, 221--239 (2020; Zbl 1433.74093) Full Text: DOI
Xu, Fei A cascadic adaptive finite element method for nonlinear eigenvalue problems in quantum physics. (English) Zbl 1435.65212 Multiscale Model. Simul. 18, No. 1, 198-220 (2020). MSC: 65N30 65N25 65L15 65B99 65N55 65N50 PDFBibTeX XMLCite \textit{F. Xu}, Multiscale Model. Simul. 18, No. 1, 198--220 (2020; Zbl 1435.65212) Full Text: DOI
Degond, Pierre; Ferreira, Marina A.; Merino-Aceituno, Sara; Nahon, Mickaël A new continuum theory for incompressible swelling materials. (English) Zbl 1480.82006 Multiscale Model. Simul. 18, No. 1, 163-197 (2020). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82B05 35Q82 82D99 70G75 74L15 76Z99 92C10 49M41 76S05 PDFBibTeX XMLCite \textit{P. Degond} et al., Multiscale Model. Simul. 18, No. 1, 163--197 (2020; Zbl 1480.82006) Full Text: DOI arXiv
Braga, Gastão A.; Furtado, Frederico; Isaia, Vincenzo; Lee, Long Numerical renormalization group algorithms for self-similar asymptotics of partial differential equations. (English) Zbl 1435.65183 Multiscale Model. Simul. 18, No. 1, 131-162 (2020). MSC: 65M99 35B40 35C06 35B33 PDFBibTeX XMLCite \textit{G. A. Braga} et al., Multiscale Model. Simul. 18, No. 1, 131--162 (2020; Zbl 1435.65183) Full Text: DOI arXiv
Chu, Jay; Hong, John M.; Lee, Hsin-Yi Approximation and existence of vacuum states in the multiscale flows of compressible Euler equations. (English) Zbl 1439.35380 Multiscale Model. Simul. 18, No. 1, 104-130 (2020). MSC: 35Q31 35L45 35L65 35L67 35L81 76N10 35D30 35C20 35B33 PDFBibTeX XMLCite \textit{J. Chu} et al., Multiscale Model. Simul. 18, No. 1, 104--130 (2020; Zbl 1439.35380) Full Text: DOI
Fu, Szu-Pei P.; Ryham, Rolf; Klöckner, Andreas; Wala, Matt; Jiang, Shidong; Young, Yuan-Nan Simulation of multiscale hydrophobic lipid dynamics via efficient integral equation methods. (English) Zbl 1436.35196 Multiscale Model. Simul. 18, No. 1, 79-103 (2020). MSC: 35J91 35J25 92C05 PDFBibTeX XMLCite \textit{S.-P. P. Fu} et al., Multiscale Model. Simul. 18, No. 1, 79--103 (2020; Zbl 1436.35196) Full Text: DOI arXiv
Borcea, Liliana; Garnier, Josselin Wave propagation in randomly perturbed weakly coupled waveguides. (English) Zbl 1439.35458 Multiscale Model. Simul. 18, No. 1, 44-78 (2020). MSC: 35Q60 78A45 78A50 78A48 78A40 35R60 PDFBibTeX XMLCite \textit{L. Borcea} and \textit{J. Garnier}, Multiscale Model. Simul. 18, No. 1, 44--78 (2020; Zbl 1439.35458) Full Text: DOI arXiv
Khristenko, Ustim; Constantinescu, Andrei; Tallec, Patrick Le; Oden, J. Tinsley; Wohlmuth, Barbara A statistical framework for generating microstructures of two-phase random materials: application to fatigue analysis. (English) Zbl 1435.82032 Multiscale Model. Simul. 18, No. 1, 21-43 (2020). MSC: 82D30 60G60 62M40 65C05 62F15 82M31 65T50 PDFBibTeX XMLCite \textit{U. Khristenko} et al., Multiscale Model. Simul. 18, No. 1, 21--43 (2020; Zbl 1435.82032) Full Text: DOI arXiv
Berlyand, Leonid; Jabin, Pierre-Emmanuel; Potomkin, Mykhailo; Ratajczyk, Elżbieta A kinetic approach to active rods dynamics in confined domains. (English) Zbl 1439.35478 Multiscale Model. Simul. 18, No. 1, 1-20 (2020). MSC: 35Q84 35Q92 92C45 76D10 35R60 PDFBibTeX XMLCite \textit{L. Berlyand} et al., Multiscale Model. Simul. 18, No. 1, 1--20 (2020; Zbl 1439.35478) Full Text: DOI arXiv