Ma, Chupeng; Melenk, J. M. Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations. (English) Zbl 07813976 Multiscale Model. Simul. 22, No. 1, 256-282 (2024). MSC: 65N30 65N15 65N55 PDFBibTeX XMLCite \textit{C. Ma} and \textit{J. M. Melenk}, Multiscale Model. Simul. 22, No. 1, 256--282 (2024; Zbl 07813976) Full Text: DOI arXiv
Zhao, Lina; Chung, Eric Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. (English) Zbl 1518.65136 Multiscale Model. Simul. 21, No. 2, 735-752 (2023). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{E. Chung}, Multiscale Model. Simul. 21, No. 2, 735--752 (2023; Zbl 1518.65136) Full Text: DOI arXiv
Gahn, Markus; Neuss-Radu, Maria Singular limit for reactive diffusive transport through an array of thin channels in case of critical diffusivity. (English) Zbl 1481.35033 Multiscale Model. Simul. 19, No. 4, 1573-1600 (2021). MSC: 35B27 35K20 35K57 35K61 PDFBibTeX XMLCite \textit{M. Gahn} and \textit{M. Neuss-Radu}, Multiscale Model. Simul. 19, No. 4, 1573--1600 (2021; Zbl 1481.35033) Full Text: DOI arXiv
Chen, Kelly; Deiman, Zachary; Goh, Ryan; Jankovic, Sally; Scheel, Arnd Strain and defects in oblique stripe growth. (English) Zbl 1471.35035 Multiscale Model. Simul. 19, No. 3, 1236-1260 (2021). MSC: 35B36 35C07 35K30 35K58 35R37 74E15 PDFBibTeX XMLCite \textit{K. Chen} et al., Multiscale Model. Simul. 19, No. 3, 1236--1260 (2021; Zbl 1471.35035) Full Text: DOI arXiv
Gosse, Laurent Diffusive limit of a two-dimensional well-balanced scheme for the free Klein-Kramers equation. (English) Zbl 1462.35400 Multiscale Model. Simul. 19, No. 1, 568-587 (2021). MSC: 35Q84 65M06 76R50 82B40 35B40 PDFBibTeX XMLCite \textit{L. Gosse}, Multiscale Model. Simul. 19, No. 1, 568--587 (2021; Zbl 1462.35400) Full Text: DOI
Simon, Konrad; Behrens, Jörn Multiscale finite elements for transient advection-diffusion equations through advection-induced coordinates. (English) Zbl 1451.65204 Multiscale Model. Simul. 18, No. 2, 543-571 (2020). Reviewer: Pavel Burda (Praha) MSC: 65N30 34E13 86A08 76M10 76S05 PDFBibTeX XMLCite \textit{K. Simon} and \textit{J. Behrens}, Multiscale Model. Simul. 18, No. 2, 543--571 (2020; Zbl 1451.65204) Full Text: DOI
Anderson, David F.; Higham, Desmond J.; Leite, Saul C.; Williams, Ruth J. On constrained Langevin equations and (bio)chemical reaction networks. (English) Zbl 1481.60146 Multiscale Model. Simul. 17, No. 1, 1-30 (2019). MSC: 60J28 60J60 65C30 92C45 60H10 65C40 92C40 PDFBibTeX XMLCite \textit{D. F. Anderson} et al., Multiscale Model. Simul. 17, No. 1, 1--30 (2019; Zbl 1481.60146) Full Text: DOI
Koltai, Péter; Schütte, Christof A multiscale perturbation expansion approach for Markov state modeling of nonstationary molecular dynamics. (English) Zbl 1401.60139 Multiscale Model. Simul. 16, No. 4, 1455-1485 (2018). MSC: 60J20 34E13 60J60 82C31 PDFBibTeX XMLCite \textit{P. Koltai} and \textit{C. Schütte}, Multiscale Model. Simul. 16, No. 4, 1455--1485 (2018; Zbl 1401.60139) Full Text: DOI
Jiang, Lijian; Ou, Na Bayesian inference using intermediate distribution based on coarse multiscale model for time fractional diffusion equations. (English) Zbl 1393.65032 Multiscale Model. Simul. 16, No. 1, 327-355 (2018). MSC: 65M60 35R60 35R11 65K10 65M70 65C40 62F15 PDFBibTeX XMLCite \textit{L. Jiang} and \textit{N. Ou}, Multiscale Model. Simul. 16, No. 1, 327--355 (2018; Zbl 1393.65032) Full Text: DOI arXiv
Jin, Shi; Liu, Liu An asymptotic-preserving stochastic Galerkin method for the semiconductor Boltzmann equation with random inputs and diffusive scalings. (English) Zbl 1367.35100 Multiscale Model. Simul. 15, No. 1, 157-183 (2017). MSC: 35Q20 65M70 65M60 35B40 82D37 35R60 PDFBibTeX XMLCite \textit{S. Jin} and \textit{L. Liu}, Multiscale Model. Simul. 15, No. 1, 157--183 (2017; Zbl 1367.35100) Full Text: DOI
Vanderhoydonc, Ynte; Vanroose, Wim Constrained runs algorithm as a lifting operator for the one-dimensional in space Boltzmann equation with BGK collision term. (English) Zbl 1362.76055 Multiscale Model. Simul. 14, No. 4, 1488-1512 (2016). MSC: 76P05 82C40 35K45 35K57 PDFBibTeX XMLCite \textit{Y. Vanderhoydonc} and \textit{W. Vanroose}, Multiscale Model. Simul. 14, No. 4, 1488--1512 (2016; Zbl 1362.76055) Full Text: DOI arXiv
Dao Duc, K.; Schuss, Z.; Holcman, D. Oscillatory survival probability: analytical and numerical study of a non-Poissonian exit time. (English) Zbl 1343.60121 Multiscale Model. Simul. 14, No. 2, 772-798 (2016). MSC: 60J60 60H10 34F05 35Q84 35J57 65L15 65L10 92C20 PDFBibTeX XMLCite \textit{K. Dao Duc} et al., Multiscale Model. Simul. 14, No. 2, 772--798 (2016; Zbl 1343.60121) Full Text: DOI arXiv Link
Delgado, M. I.; Ward, M. J.; Coombs, D. Conditional mean first passage times to small traps in a 3-D domain with a sticky boundary: applications to T cell searching behavior in lymph nodes. (English) Zbl 1339.92009 Multiscale Model. Simul. 13, No. 4, 1224-1258 (2015). MSC: 92C17 92C37 35J05 35J08 60J70 PDFBibTeX XMLCite \textit{M. I. Delgado} et al., Multiscale Model. Simul. 13, No. 4, 1224--1258 (2015; Zbl 1339.92009) Full Text: DOI Link
Guerrier, C.; Holcman, D. Search time for a small ribbon and application to vesicular release at neuronal synapses. (English) Zbl 1329.35321 Multiscale Model. Simul. 13, No. 4, 1173-1193 (2015). MSC: 35Q92 35B40 PDFBibTeX XMLCite \textit{C. Guerrier} and \textit{D. Holcman}, Multiscale Model. Simul. 13, No. 4, 1173--1193 (2015; Zbl 1329.35321) Full Text: DOI
Harder, Christopher; Paredes, Diego; Valentin, Frédéric On a multiscale hybrid-mixed method for advective-reactive dominated problems with heterogeneous coefficients. (English) Zbl 1317.65222 Multiscale Model. Simul. 13, No. 2, 491-518 (2015). MSC: 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{C. Harder} et al., Multiscale Model. Simul. 13, No. 2, 491--518 (2015; Zbl 1317.65222) Full Text: DOI
Dai, Shibin; Du, Qiang Coarsening mechanism for systems governed by the Cahn-Hilliard equation with degenerate diffusion mobility. (English) Zbl 1327.35150 Multiscale Model. Simul. 12, No. 4, 1870-1889 (2014). MSC: 35K35 35B40 74N20 82C26 PDFBibTeX XMLCite \textit{S. Dai} and \textit{Q. Du}, Multiscale Model. Simul. 12, No. 4, 1870--1889 (2014; Zbl 1327.35150) Full Text: DOI
Papanicolaou, Andrew; Spiliopoulos, Konstantinos Filtering the maximum likelihood for multiscale problems. (English) Zbl 1311.93079 Multiscale Model. Simul. 12, No. 3, 1193-1229 (2014). MSC: 93E10 93E11 93C70 76R50 93B60 PDFBibTeX XMLCite \textit{A. Papanicolaou} and \textit{K. Spiliopoulos}, Multiscale Model. Simul. 12, No. 3, 1193--1229 (2014; Zbl 1311.93079) Full Text: DOI arXiv
Holcman, D.; Schuss, Z. Brownian motion in dire straits. (English) Zbl 1266.60144 Multiscale Model. Simul. 10, No. 4, 1204-1231 (2012). MSC: 60J65 35P15 60J10 60J50 60J60 PDFBibTeX XMLCite \textit{D. Holcman} and \textit{Z. Schuss}, Multiscale Model. Simul. 10, No. 4, 1204--1231 (2012; Zbl 1266.60144) Full Text: DOI arXiv
Målqvist, Axel Multiscale methods for elliptic problems. (English) Zbl 1248.65124 Multiscale Model. Simul. 9, No. 3, 1064-1086 (2011). MSC: 65N30 35J25 65N15 35J05 PDFBibTeX XMLCite \textit{A. Målqvist}, Multiscale Model. Simul. 9, No. 3, 1064--1086 (2011; Zbl 1248.65124) Full Text: DOI Link
Crommelin, Daan; Vanden-Eijnden, Eric Diffusion estimation from multiscale data by operator eigenpairs. (English) Zbl 1244.60055 Multiscale Model. Simul. 9, No. 4, 1588-1623 (2011). MSC: 60H10 62M05 65C30 60J35 60J60 62F15 PDFBibTeX XMLCite \textit{D. Crommelin} and \textit{E. Vanden-Eijnden}, Multiscale Model. Simul. 9, No. 4, 1588--1623 (2011; Zbl 1244.60055) Full Text: DOI Link
Rizzi, F.; Salloum, M.; Marzouk, Y. M.; Xu, R.-G.; Falk, M. L.; Weihs, T. P.; Fritz, G.; Knio, O. M. Bayesian inference of atomic diffusivity in a binary Ni/Al system based on molecular dynamics. (English) Zbl 1217.74014 Multiscale Model. Simul. 9, No. 1, 486-512 (2011). MSC: 74A65 62F15 62C10 35K05 65C40 74A25 PDFBibTeX XMLCite \textit{F. Rizzi} et al., Multiscale Model. Simul. 9, No. 1, 486--512 (2011; Zbl 1217.74014) Full Text: DOI
Hellander, Andreas; Lötstedt, Per Incorporating active transport of cellular cargo in stochastic mesoscopic models of living cells. (English) Zbl 1208.92020 Multiscale Model. Simul. 8, No. 5, 1691-1714 (2010). MSC: 92C37 92C05 65C40 65C05 65M08 92C42 PDFBibTeX XMLCite \textit{A. Hellander} and \textit{P. Lötstedt}, Multiscale Model. Simul. 8, No. 5, 1691--1714 (2010; Zbl 1208.92020) Full Text: DOI
Pokern, Yvo; Stuart, Andrew M.; Vanden-Eijnden, Eric Remarks on drift estimation for diffusion processes. (English) Zbl 1183.62145 Multiscale Model. Simul. 8, No. 1, 69-95 (2009). MSC: 62M05 65C60 65C30 PDFBibTeX XMLCite \textit{Y. Pokern} et al., Multiscale Model. Simul. 8, No. 1, 69--95 (2009; Zbl 1183.62145) Full Text: DOI Link
Engblom, Stefan Parallel in time simulation of multiscale stochastic chemical kinetics. (English) Zbl 1184.92064 Multiscale Model. Simul. 8, No. 1, 46-68 (2009). MSC: 92E20 60J75 65C50 65C40 60J22 60H35 68W10 PDFBibTeX XMLCite \textit{S. Engblom}, Multiscale Model. Simul. 8, No. 1, 46--68 (2009; Zbl 1184.92064) Full Text: DOI arXiv
Roberts, A. J. Model dynamics across multiple length and time scales on a spatial multigrid. (English) Zbl 1180.65123 Multiscale Model. Simul. 7, No. 4, 1525-1548 (2009). MSC: 65M55 34K17 35B27 37F25 35Q53 PDFBibTeX XMLCite \textit{A. J. Roberts}, Multiscale Model. Simul. 7, No. 4, 1525--1548 (2009; Zbl 1180.65123) Full Text: DOI
Wang, Wei-Wei; Feng, Xiang-Chu Anisotropic diffusion with nonlinear structure tensor. (English) Zbl 1194.68252 Multiscale Model. Simul. 7, No. 2, 963-977 (2008). MSC: 68U10 65N12 62H35 65M32 35K05 PDFBibTeX XMLCite \textit{W.-W. Wang} and \textit{X.-C. Feng}, Multiscale Model. Simul. 7, No. 2, 963--977 (2008; Zbl 1194.68252) Full Text: DOI
Horenko, Illia; Schütte, Christof Likelihood-based estimation of multidimensional Langevin models and its application to biomolecular dynamics. (English) Zbl 1180.35175 Multiscale Model. Simul. 7, No. 2, 731-773 (2008). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 35H10 37M10 60J20 62M05 35Q92 PDFBibTeX XMLCite \textit{I. Horenko} and \textit{C. Schütte}, Multiscale Model. Simul. 7, No. 2, 731--773 (2008; Zbl 1180.35175) Full Text: DOI Link
Aoki, K.; Degond, P.; Mieussens, L.; Takata, S.; Yoshida, H. A diffusion model for rarefied flows in curved channels. (English) Zbl 1149.76045 Multiscale Model. Simul. 6(2007), No. 4, 1281-1316 (2008). MSC: 76P05 76R50 76M45 PDFBibTeX XMLCite \textit{K. Aoki} et al., Multiscale Model. Simul. 6, No. 4, 1281--1316 (2008; Zbl 1149.76045) Full Text: DOI Link
Van Leemput, Pieter; Vanroose, Wim; Roose, Dirk Mesoscale analysis of the equation-free constrained runs initialization scheme. (English) Zbl 1248.76121 Multiscale Model. Simul. 6(2007), No. 4, 1234-1255 (2008). MSC: 76M28 35K57 PDFBibTeX XMLCite \textit{P. Van Leemput} et al., Multiscale Model. Simul. 6, No. 4, 1234--1255 (2008; Zbl 1248.76121) Full Text: DOI
Bourlioux, Anne; Khouider, Boualem A rigorous asymptotic perspective on the large scale simulations of turbulent premixed flames. (English) Zbl 1136.76054 Multiscale Model. Simul. 6, No. 1, 287-307 (2007). MSC: 76V05 76F65 76M45 80A25 PDFBibTeX XMLCite \textit{A. Bourlioux} and \textit{B. Khouider}, Multiscale Model. Simul. 6, No. 1, 287--307 (2007; Zbl 1136.76054) Full Text: DOI Link
Degond, P.; Gallego, S.; Méhats, F. Isothermal quantum hydrodynamics: derivation, asymptotic analysis, and simulation. (English) Zbl 1135.82019 Multiscale Model. Simul. 6, No. 1, 246-272 (2007). MSC: 82C10 82C70 82D37 81Q05 81S05 81S30 81V70 PDFBibTeX XMLCite \textit{P. Degond} et al., Multiscale Model. Simul. 6, No. 1, 246--272 (2007; Zbl 1135.82019) Full Text: DOI
Papavasiliou, Anastasia; Kevrekidis, Ioannis G. Variance reduction for the equation-free simulation of multiscale stochastic systems. (English) Zbl 1144.60047 Multiscale Model. Simul. 6, No. 1, 70-89 (2007). Reviewer: Gong Guanglu (Beijing) MSC: 60J60 65C05 34E13 PDFBibTeX XMLCite \textit{A. Papavasiliou} and \textit{I. G. Kevrekidis}, Multiscale Model. Simul. 6, No. 1, 70--89 (2007; Zbl 1144.60047) Full Text: DOI
Tanskanen, Antti J.; Winslow, Raimond L. Integrative structurally detailed model of calcium dynamics in the cardiac diad. (English) Zbl 1125.92022 Multiscale Model. Simul. 5, No. 4, 1280-1296 (2006). MSC: 92C30 92C05 35K57 35Q92 PDFBibTeX XMLCite \textit{A. J. Tanskanen} and \textit{R. L. Winslow}, Multiscale Model. Simul. 5, No. 4, 1280--1296 (2006; Zbl 1125.92022) Full Text: DOI
Degond, Pierre; Liu, Jian-Guo; Mieussens, Luc Macroscopic fluid models with localized kinetic upscaling effects. (English) Zbl 1147.82331 Multiscale Model. Simul. 5, No. 3, 940-979 (2006). MSC: 82B40 82B80 82C40 82C80 76P05 PDFBibTeX XMLCite \textit{P. Degond} et al., Multiscale Model. Simul. 5, No. 3, 940--979 (2006; Zbl 1147.82331) Full Text: DOI Link
Park, Moongyu; Kleinfelter, Natalie; Cushman, John H. Scaling laws and Fokker–Planck equations for 3-dimensional porous media with fractal mesoscale. (English) Zbl 1236.76069 Multiscale Model. Simul. 4, No. 4, 1233-1244 (2005). MSC: 76S05 28A80 60H10 60J60 76M35 92D10 PDFBibTeX XMLCite \textit{M. Park} et al., Multiscale Model. Simul. 4, No. 4, 1233--1244 (2005; Zbl 1236.76069) Full Text: DOI
Ben Abdallah, Naoufel; Tayeb, Mohamed Lazhar Diffusion approximation and homogenization of the semiconductor Boltzmann equation. (English) Zbl 1093.35009 Multiscale Model. Simul. 4, No. 3, 896-914 (2005). MSC: 35B27 35F20 76M50 82D37 76P05 76X05 PDFBibTeX XMLCite \textit{N. Ben Abdallah} and \textit{M. L. Tayeb}, Multiscale Model. Simul. 4, No. 3, 896--914 (2005; Zbl 1093.35009) Full Text: DOI Link
Samaey, Giovanni; Roose, Dirk; Kevrekidis, Ioannis G. The gap-tooth scheme for homogenization problems. (English) Zbl 1092.35009 Multiscale Model. Simul. 4, No. 1, 278-306 (2005). Reviewer: Angela Handlovičová (Bratislava) MSC: 35B27 35K57 65M12 74Q10 PDFBibTeX XMLCite \textit{G. Samaey} et al., Multiscale Model. Simul. 4, No. 1, 278--306 (2005; Zbl 1092.35009) Full Text: DOI arXiv
Bourgeat, Alain; Marusic-Paloka, Eduard A homogenized model of an underground waste repository including a disturbed zone. (English) Zbl 1108.35009 Multiscale Model. Simul. 3, No. 4, 918-939 (2005). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35K20 35K57 76M50 76S05 86A05 PDFBibTeX XMLCite \textit{A. Bourgeat} and \textit{E. Marusic-Paloka}, Multiscale Model. Simul. 3, No. 4, 918--939 (2005; Zbl 1108.35009) Full Text: DOI
Charrier, Pierre; Dubroca, Bruno Asymptotic transport models for heat and mass transfer in reactive porous media. (English) Zbl 1078.76068 Multiscale Model. Simul. 2, No. 1, 124-157 (2004). MSC: 76S05 76V05 76P05 76R50 80A20 PDFBibTeX XMLCite \textit{P. Charrier} and \textit{B. Dubroca}, Multiscale Model. Simul. 2, No. 1, 124--157 (2004; Zbl 1078.76068) Full Text: DOI
Filliger, Roger Discrete derivation of Ruijgrok and Wu’s nonlinear two-velocity Boltzmann model with an application to traffic-flow modelling. (English) Zbl 1081.47048 Multiscale Model. Simul. 2, No. 3, 440-451 (2004). Reviewer: Franz Selig (Wien) MSC: 47D07 47N10 90B20 82C23 PDFBibTeX XMLCite \textit{R. Filliger}, Multiscale Model. Simul. 2, No. 3, 440--451 (2004; Zbl 1081.47048) Full Text: DOI Link
Aoki, K.; Degond, P. Homogenization of a flow in a periodic channel of small section. (English) Zbl 1107.76060 Multiscale Model. Simul. 1, No. 2, 304-334 (2003). MSC: 76M50 76P05 76S05 82C40 PDFBibTeX XMLCite \textit{K. Aoki} and \textit{P. Degond}, Multiscale Model. Simul. 1, No. 2, 304--334 (2003; Zbl 1107.76060) Full Text: DOI
Braack, Malte; Ern, Alexandre A posteriori control of modeling errors and discretization errors. (English) Zbl 1050.65100 Multiscale Model. Simul. 1, No. 2, 221-238 (2003). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N15 65N30 65N50 80M10 35B27 80A20 PDFBibTeX XMLCite \textit{M. Braack} and \textit{A. Ern}, Multiscale Model. Simul. 1, No. 2, 221--238 (2003; Zbl 1050.65100) Full Text: DOI
Braga, Gastão A.; Furtado, Frederico; Moreira, Jussara M.; Rolla, Leonardo T. Renormalization group analysis of nonlinear diffusion equations with periodic coefficients. (English) Zbl 1041.35005 Multiscale Model. Simul. 1, No. 4, 630-644 (2003). Reviewer: Qin Mengzhao (Beijing) MSC: 35A35 35K55 35B40 35B25 35B27 74S20 PDFBibTeX XMLCite \textit{G. A. Braga} et al., Multiscale Model. Simul. 1, No. 4, 630--644 (2003; Zbl 1041.35005) Full Text: DOI arXiv