Multiscale Modeling & SimulationA SIAM Interdisciplinary Journal Short Title: Multiscale Model. Simul. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 1540-3459; 1540-3467/e Online: http://epubs.siam.org/loi/mmsubt Comments: Indexed cover-to-cover Documents Indexed: 1,039 Publications (since 2003) References Indexed: 434 Publications with 16,970 References. all top 5 Latest Issues 19, No. 3 (2021) 19, No. 2 (2021) 19, No. 1 (2021) 18, No. 4 (2020) 18, No. 3 (2020) 18, No. 2 (2020) 18, No. 1 (2020) 17, No. 4 (2019) 17, No. 3 (2019) 17, No. 2 (2019) 17, No. 1 (2019) 16, No. 4 (2018) 16, No. 3 (2018) 16, No. 2 (2018) 16, No. 1 (2018) 15, No. 4 (2017) 15, No. 2 (2017) 15, No. 1 (2017) 14, No. 4 (2016) 14, No. 3 (2016) 14, No. 2 (2016) 14, No. 1 (2016) 13, No. 4 (2015) 13, No. 3 (2015) 13, No. 2 (2015) 13, No. 1 (2015) 12, No. 4 (2014) 12, No. 3 (2014) 12, No. 2 (2014) 12, No. 1 (2014) 11, No. 4 (2013) 11, No. 3 (2013) 11, No. 2 (2013) 11, No. 1 (2013) 10, No. 4 (2012) 10, No. 3 (2012) 10, No. 2 (2012) 10, No. 1 (2012) 9, No. 4 (2011) 9, No. 3 (2011) 9, No. 2 (2011) 9, No. 1 (2011) 8, No. 5 (2010) 8, No. 4 (2010) 8, No. 3 (2010) 8, No. 2 (2010) 8, No. 1 (2009) 7, No. 4 (2009) 7, No. 3 (2008/2009) 7, No. 2 (2008) 7, No. 1 (2008) 6, No. 4 (2008) 6, No. 3 (2007) 6, No. 2 (2007) 6, No. 1 (2007) 5, No. 4 (2006) 5, No. 3 (2006) 5, No. 2 (2006) 5, No. 1 (2006) 4, No. 4 (2005/2006) 4, No. 3 (2005) 4, No. 2 (2005) 4, No. 1 (2005) 3, No. 4 (2005) 3, No. 3 (2005) 3, No. 2 (2005) 3, No. 1 (2004/2005) 2, No. 4 (2004) 2, No. 3 (2004) 2, No. 2 (2004) 2, No. 1 (2004) 1, No. 4 (2003) 1, No. 3 (2003) 1, No. 2 (2003) 1, No. 1 (2003) all top 5 Authors 21 Ying, Lexing 17 Efendiev, Yalchin R. 17 Garnier, Josselin 14 Schütte, Christof 14 Sølna, Knut 13 Degond, Pierre 13 Hou, Thomas Yizhao 13 Luskin, Mitchell 12 Ortner, Christoph 11 Abdulle, Assyr 11 Borcea, Liliana 11 Osher, Stanley Joel 10 Ammari, Habib M. 10 Lu, Jianfeng 9 Jin, Shi 9 Margetis, Dionisios 9 Vanden-Eijnden, Eric 8 Caselles Costa, Vicent 8 Chung, Tsz Shun Eric 8 Kevrekidis, Ioannis George 8 Wheeler, Mary Fanett 7 Engquist, Bjorn E. 7 Forest, M. Gregory 7 Horenko, Illia 7 Jiang, Lijian 7 Li, Qin 7 Lin, Lin 7 Mikelić, Andro 7 Papanicolaou, George C. 7 Shapeev, Alexander V. 7 Weinstein, Michael I. 6 Bal, Guillaume 6 Cao, Liqun 6 Du, Qiang 6 Holcman, David 6 Majda, Andrew J. 6 Negulescu, Claudia 6 Noé, Frank 6 Qian, Jianliang 6 Sini, Mourad 6 Spiliopoulos, Konstantinos V. 6 Voigt, Axel 6 Weber, Marcus 6 Zhang, Pingwen 5 Bressloff, Paul C. 5 Caflisch, Russel E. 5 Fouque, Jean-Pierre 5 Galvis, Juan 5 Gunzburger, Max D. 5 Higham, Desmond J. 5 Le Bris, Claude 5 Legoll, Frédéric 5 Målqvist, Axel 5 Ming, Pingbing 5 Movchan, Alexander B. 5 Mucha, Peter J. 5 Najm, Habib N. 5 Ortiz, Michael 5 Owhadi, Houman 5 Pavliotis, Grigorios A. 5 Peterseim, Daniel 5 Salloum, Maher 5 Sargsyan, Khachik V. 5 Shen, Zuowei 5 Stuart, Andrew M. 5 Tsai, Yen-Hsi Richard 5 Xin, Jack X. 5 Yang, Haizhao 5 Zhang, Zhiwen 4 Aarnes, Jørg E. 4 Aristoff, David 4 Aujol, Jean-François 4 Brown, Donald L. 4 Burridge, Robert 4 Carrillo de la Plata, José Antonio 4 Chen, Huajie 4 Chen, Jingrun 4 Chen, Ke 4 Cushman, John H. 4 Dagan, Gedeon 4 Damle, Anil 4 Debusschere, Bert J. 4 Deluzet, Fabrice 4 Dimarco, Giacomo 4 Fackeldey, Konstantin 4 Fiori, Aldo 4 Friesecke, Gero 4 Ho, Kenneth L. 4 Jankovic, Igor 4 Kang, Hyeonbae 4 Kutz, J. Nathan 4 Lawley, Sean D. 4 Lehoucq, Richard B. 4 Li, Guanglian 4 Li, Tiejun 4 Li, Xiantao 4 Lipton, Robert P. 4 Lötstedt, Per 4 Lu, Wangtao 4 Méhats, Florian ...and 1,599 more Authors all top 5 Fields 513 Numerical analysis (65-XX) 487 Partial differential equations (35-XX) 234 Fluid mechanics (76-XX) 199 Probability theory and stochastic processes (60-XX) 180 Statistical mechanics, structure of matter (82-XX) 166 Mechanics of deformable solids (74-XX) 128 Biology and other natural sciences (92-XX) 78 Optics, electromagnetic theory (78-XX) 71 Statistics (62-XX) 66 Ordinary differential equations (34-XX) 59 Computer science (68-XX) 58 Dynamical systems and ergodic theory (37-XX) 56 Information and communication theory, circuits (94-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 40 Quantum theory (81-XX) 33 Operations research, mathematical programming (90-XX) 29 Mechanics of particles and systems (70-XX) 29 Systems theory; control (93-XX) 26 Geophysics (86-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 22 Classical thermodynamics, heat transfer (80-XX) 16 Integral equations (45-XX) 15 Approximations and expansions (41-XX) 14 Operator theory (47-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Combinatorics (05-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Potential theory (31-XX) 5 Astronomy and astrophysics (85-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 830 Publications have been cited 9,576 times in 6,506 Documents Cited by ▼ Year ▼ Signal recovery by proximal forward-backward splitting. Zbl 1179.94031Combettes, Patrick L.; Wajs, Valérie R. 489 2005 A review of image denoising algorithms, with a new one. Zbl 1108.94004Buades, A.; Coll, B.; Morel, J. M. 310 2005 Nonlocal operators with applications to image processing. Zbl 1181.35006Gilboa, Guy; Osher, Stanley 286 2008 An iterative regularization method for total variation-based image restoration. Zbl 1090.94003Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao 254 2005 Split Bregman methods and frame based image restoration. Zbl 1189.94014Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 162 2010 Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026Osher, Stanley; Solé, Andrés; Vese, Luminita 111 2003 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 105 2006 A multiscale mortar mixed finite element method. Zbl 1322.76039Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 105 2007 Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042Galvis, Juan; Efendiev, Yalchin 97 2010 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234Engquist, Björn; Ying, Lexing 90 2011 Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029Galvis, Juan; Efendiev, Yalchin 82 2010 Nonlocal linear image regularization and supervised segmentation. Zbl 1140.68517Gilboa, Guy; Osher, Stanley 82 2007 On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation. Zbl 1181.76125Aarnes, Jørg E. 77 2004 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034Bao, Weizhu 73 2004 Deblurring and denoising of images by nonlocal functionals. Zbl 1161.68827Kindermann, Stefan; Osher, Stanley; Jones, Peter W. 71 2005 Multiscale stochastic volatility asymptotics. Zbl 1074.91015Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 63 2004 Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195Babuska, Ivo; Lipton, Robert 60 2011 Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Zbl 1160.76372Jenny, P.; Lee, S. H.; Tchelepi, H. A. 59 2004 Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea 58 2011 A posteriori control of modeling errors and discretization errors. Zbl 1050.65100Braack, Malte; Ern, Alexandre 57 2003 On a priori error analysis of fully discrete heterogeneous multiscale FEM. Zbl 1092.65093Abdulle, Assyr 54 2005 A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057Gunzburger, Max; Lehoucq, R. B. 54 2010 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 52 2015 Oversampling for the multiscale finite element method. Zbl 1297.65155Henning, Patrick; Peterseim, Daniel 52 2013 Extinction times for birth-death processes: Exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation. Zbl 1072.60092Doering, Charles R.; Sargsyan, Khachik V.; Sander, Leonard M. 51 2005 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 48 2005 A fast total variation minimization method for image restoration. Zbl 1172.94316Huang, Yumei; Ng, Michael K.; Wen, You-Wei 47 2008 From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205Erban, Radek; Othmer, Hans G. 44 2005 A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Zbl 1124.76022Aarnes, Jørg E.; Krogstad, Stein; Lie, Knut-Andreas 44 2006 A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency. Zbl 1075.35101Ammari, Habib; Iakovleva, Ekaterina; Lesselier, Dominique 43 2005 Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing 42 2015 The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 42 2007 A multiscale finite element method for numerical homogenization. Zbl 1093.35007Allaire, Grégoire; Brizzi, Robert 41 2005 Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares. Zbl 1091.94007Nikolova, Mila 41 2005 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 41 2009 A multiple scale model for tumor growth. Zbl 1107.92019Alarcón, T.; Byrne, H. M.; Maini, P. K. 39 2005 An asymptotic analysis of the mean first passage time for narrow escape problems. I: Two-dimensional domains. Zbl 1203.35023Pillay, S.; Ward, M. J.; Peirce, A.; Kolokolnikov, T. 39 2010 Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215Bertozzi, Andrea L.; Flenner, Arjuna 39 2012 Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Zbl 1060.35003Quarteroni, Alfio; Veneziani, Alessandro 39 2003 Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124Brouwer, Jens; Gasser, Ingenuin; Herty, Michael 38 2011 A multiscale image representation using hierarchical \((BV,L^2)\) decompositions. Zbl 1146.68472Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita 37 2004 High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135Viet Ha Hoang; Schwab, Christoph 37 2005 Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics. Zbl 1262.60072Anderson, David F.; Higham, Desmond J. 36 2012 Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian 35 2016 Capturing small scales in elliptic problems using a residual-free bubbles finite element method. Zbl 1032.65131Sangalli, Giancarlo 35 2003 Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235Luo, Guo; Hou, Thomas Y. 34 2014 From the microscale to collective crowd dynamics. Zbl 1280.90019Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 33 2013 A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 33 2009 A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207Mielke, Alexander; Roubíček, Tomáš 33 2003 Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140Owhadi, Houman; Zhang, Lei 33 2011 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 33 2008 Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan 33 2007 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041Mairal, Julien; Sapiro, Guillermo; Elad, Michael 32 2008 Bayesian numerical homogenization. Zbl 1322.35002Owhadi, Houman 31 2015 Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113Efendiev, Y.; Pankov, A. 31 2004 An asymptotic analysis of the mean first passage time for narrow escape problems. II: The sphere. Zbl 1204.35030Cheviakov, Alexei F.; Ward, Michael J.; Straube, Ronny 31 2010 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135Li, Jingzhi; Liu, Hongyu; Zou, Jun 30 2014 A BDDC algorithm with enriched coarse spaces for two-dimensional elliptic problems with oscillatory and high contrast coefficients. Zbl 1317.65090Kim, Hyea Hyun; Chung, Eric T. 29 2015 Strong convergence rate for two-time-scale jump-diffusion stochastic differential systems. Zbl 1144.60038Givon, Dror 29 2007 Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems. Zbl 1175.60058Coifman, R. R.; Kevrekidis, I. G.; Lafon, S.; Maggioni, M.; Nadler, B. 28 2008 Fast and slow dynamics for the computational singular perturbation method. Zbl 1065.34049Zagaris, Antonios; Kaper, Hans G.; Kaper, Tasso J. 28 2004 Multilevel adaptive particle methods for convection-diffusion equations. Zbl 1088.76055Bergdorf, Michael; Cottet, Georges-Henri; Koumoutsakos, Petros 28 2005 Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337Abdulle, Assyr; Schwab, Christoph 28 2005 Multiscale two-dimensional modeling of a motile simple-shaped cell. Zbl 1068.92005Rubinstein, B.; Jacobson, K.; Mogilner, A. 28 2005 Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael 28 2009 Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat 28 2014 A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128Ohlberger, Mario 27 2005 Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 27 2010 Well modeling in the multiscale finite volume method for subsurface flow simulation. Zbl 1205.76175Wolfsteiner, Christian; Lee, Seong H.; Tchelepi, Hamdi A. 27 2006 A Lagrangian particle-wavelet method. Zbl 1122.65085Bergdorf, Michael; Koumoutsakos, Petros 27 2006 Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments. Zbl 1176.35020van Noorden, T. L. 27 2009 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342Nolen, James; Papanicolaou, George; Pironneau, Olivier 27 2008 Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358Boyaval, Sébastien 27 2008 Analysis of explicit tau-leaping schemes for simulating chemically reacting systems. Zbl 1145.92041Li, Tiejun 27 2007 Finite element heterogeneous multiscale method for the wave equation. Zbl 1298.65145Abdulle, Assyr; Grote, Marcus J. 26 2011 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 26 2010 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 26 2008 A fourth-order variational image registration model and its fast multigrid algorithm. Zbl 1218.65022Chumchob, N.; Chen, K.; Brito-Loeza, Carlos 25 2011 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028Bouchitté, Guy; Schweizer, Ben 25 2010 An analytical framework for the numerical homogenization of monotone elliptic operators and quasiconvex energies. Zbl 1119.74038Gloria, Antoine 25 2006 Bandelet image approximation and compression. Zbl 1091.94006Le Pennec, E.; Mallat, S. 24 2005 Gyrokinetic Vlasov equation in three dimensional setting. Second order approximation. Zbl 1220.35176Bostan, Mihai 24 2010 Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen 24 2018 Transition path theory for Markov jump processes. Zbl 1185.60086Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric 24 2009 Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198Dimarco, Giacomo; Pareschi, Lorenzo 24 2008 Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs. Zbl 1085.35095Fernández, Miguel Ángel; Milisic, Vuk; Quarteroni, Alfio 23 2005 Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053Albi, G.; Pareschi, L. 23 2013 Analysis of a one-dimensional nonlocal quasi-continuum method. Zbl 1177.74169Ming, Pingbing; Yang, Jerry Zhijian 23 2009 An operator formulation of the multiscale finite-volume method with correction function. Zbl 1404.65222Lunati, Ivan; Lee, Seong H. 23 2009 Existence of global weak solutions to some regularized kinetic models for dilute polymers. Zbl 1228.76004Barrett, John W.; Süli, Endre 23 2007 FENE dumbbell model and its several linear and nonlinear closure approximations. Zbl 1108.76006Du, Qiang; Liu, Chun; Yu, Peng 22 2005 Consistency and stability of tau-leaping schemes for chemical reaction systems. Zbl 1089.60516Rathinam, Muruhan; Petzold, Linda R.; Cao, Yang; Gillespie, Daniel T. 22 2005 Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521Kornhuber, Ralf; Yserentant, Harry 22 2016 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347Joly, Patrick; Tordeux, Sébastien 22 2006 Two-dimensional bulk microflow simulations based on regularized grad’s 13-moment equations. Zbl 1388.76340Torrilhon, Manuel 22 2006 Importance sampling for multiscale diffusions. Zbl 1250.60031Dupuis, Paul; Spiliopoulos, Konstantinos; Wang, Hui 22 2012 Finite element heterogeneous multiscale method for the wave equation: long-time effects. Zbl 1315.65084Abdulle, Assyr; Grote, Marcus J.; Stohrer, Christian 22 2014 Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092Bressloff, Paul C.; Lawley, Sean D. 22 2015 Mountain waves and Gaussian beams. Zbl 1149.41014Tanushev, Nicolay M.; Qian, Jianliang; Ralston, James V. 22 2007 Mixed multiscale finite element methods using limited global information. Zbl 1277.76036Aarnes, J. E.; Efendiev, Y.; Jiang, L. 21 2008 A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. Zbl 1453.82099Heningburg, Vincent; Hauck, Cory D. 1 2021 Variational asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system. Zbl 1467.82071Carrillo, Jose A.; Wang, Li; Xu, Wuzhe; Yan, Ming 1 2021 Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. Zbl 1461.65067Schäfer, Florian; Sullivan, T. J.; Owhadi, Houman 1 2021 Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems. Zbl 1447.65077Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Wheeler, Mary F. 5 2020 The equivalent media generated by bubbles of high contrasts: volumetric metamaterials and metasurfaces. Zbl 1439.35555Ammari, Habib; Challa, Durga Prasad; Choudhury, Anupam Pal; Sini, Mourad 3 2020 A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J. 3 2020 Well-balanced finite-volume schemes for hydrodynamic equations with general free energy. Zbl 1434.82098Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P.; Shu, Chi-Wang 2 2020 Wavelet sparse regularization for manifold-valued data. Zbl 1457.94026Storath, Martin; Weinmann, Andreas 2 2020 Asymptotic and numerical analysis of a stochastic PDE model of volume transmission. Zbl 1445.35346Lawley, Sean D.; Shankar, Varun 2 2020 Phase field modeling of precipitation and dissolution processes in porous media: upscaling and numerical experiments. Zbl 1446.35119Bringedal, Carina; von Wolff, Lars; Pop, Iuliu Sorin 2 2020 On the conservation properties in multiple scale coupling and simulation for Darcy flow with hyperbolic-transport in complex flows. Zbl 1454.35271Abreu, Eduardo; Díaz, Ciro; Galvis, Juan; Pérez, John 2 2020 A kinetic approach to active rods dynamics in confined domains. Zbl 1439.35478Berlyand, Leonid; Jabin, Pierre-Emmanuel; Potomkin, Mykhailo; Ratajczyk, Elżbieta 1 2020 A statistical framework for generating microstructures of two-phase random materials: application to fatigue analysis. Zbl 1435.82032Khristenko, Ustim; Constantinescu, Andrei; Tallec, Patrick Le; Oden, J. Tinsley; Wohlmuth, Barbara 1 2020 A cascadic adaptive finite element method for nonlinear eigenvalue problems in quantum physics. Zbl 1435.65212Xu, Fei 1 2020 Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. Zbl 1433.76150Dimarco, Giacomo; Pareschi, Lorenzo 1 2020 Generalized multiscale finite element method for the steady state linear Boltzmann equation. Zbl 1434.65244Chung, Eric; Efendiev, Yalchin; Li, Yanbo; Li, Qin 1 2020 Multiscale finite elements for transient advection-diffusion equations through advection-induced coordinates. Zbl 1451.65204Simon, Konrad; Behrens, Jörn 1 2020 Optimizing weighted ensemble sampling of steady states. Zbl 07205781Aristoff, David; Zuckerman, Daniel M. 1 2020 A fast algorithm for multiresolution mode decomposition. Zbl 1440.42020Tang, Gao; Yang, Haizhao 1 2020 Mathematical analysis of electromagnetic plasmonic metasurfaces. Zbl 1448.35491Ammari, Habib; Li, Bowen; Zou, Jun 1 2020 Efficient approximation of flow problems with multiple scales in time. Zbl 1446.65065Frei, S.; Richter, T. 1 2020 Multiscale flux-based modeling of biofilm communities. Zbl 1448.92144Zhang, T.; Parker, A.; Carlson, R. P.; Stewart, P. S.; Klapper, I. 1 2020 Randomized sampling for basis function construction in generalized finite element methods. Zbl 1446.65162Chen, Ke; Li, Qin; Lu, Jianfeng; Wright, Stephen J. 1 2020 An embedded corrector problem for homogenization. I: Theory. Zbl 1446.35015Cancès, Eric; Ehrlacher, Virginie; Legoll, Frédéric; Stamm, Benjamin; Xiang, Shuyang 1 2020 Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 15 2019 Asymptotics of the gradient of solutions to the perfect conductivity problem. Zbl 1426.78022Li, Haigang; Li, Yanyan; Yang, Zhuolun 5 2019 The Foldy-Lax approximation for the full electromagnetic scattering by small conductive bodies of arbitrary shapes. Zbl 1409.35065Bouzekri, Ali; Sini, Mourad 4 2019 Kinetic-controlled hydrodynamics for traffic models with driver-assist vehicles. Zbl 1428.35268Tosin, Andrea; Zanella, Mattia 4 2019 A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach. Zbl 1420.35083Hou, Thomas Y.; Ma, Dingjiong; Zhang, Zhiwen 4 2019 Boundary conditions for kinetic theory based models I: lattice Boltzmann models. Zbl 1421.76185Zhao, Weifeng; Huang, Juntao; Yong, Wen-An 4 2019 Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates. Zbl 1422.60133Lelievre, Tony; Zhang, Wei 4 2019 On the convergence of the SINDy algorithm. Zbl 1437.37108Zhang, Linan; Schaeffer, Hayden 3 2019 Nonlocal models with heterogeneous localization and their application to seamless local-nonlocal coupling. Zbl 1447.45001Tao, Yunzhe; Tian, Xiaochuan; Du, Qiang 3 2019 Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian 3 2019 Renormalized reduced order models with memory for long time prediction. Zbl 1412.65178Price, Jacob; Stinis, Panos 2 2019 Variational formulation for Wannier functions with entangled band structure. Zbl 1412.82041Damle, Anil; Levitt, Antoine; Lin, Lin 2 2019 Numerical homogenization and model order reduction for multiscale inverse problems. Zbl 1412.65195Abdulle, Assyr; Blasio, Andrea Di 2 2019 A perturbative approach to control variates in molecular dynamics. Zbl 1426.82080Roussel, Julien; Stoltz, Gabriel 2 2019 Numerical homogenization of elliptic PDEs with similar coefficients. Zbl 1428.65085Hellman, Fredrik; Målqvist, Axel 2 2019 Raster grid pathology and the cure. Zbl 1426.78015Fannjiang, Albert 2 2019 A constraint energy minimizing generalized multiscale finite element method for parabolic equations. Zbl 1426.65200Li, Mengnan; Chung, Eric; Jiang, Lijian 2 2019 Hybrid models for simulating blood flow in microvascular networks. Zbl 1433.76200Vidotto, Ettore; Koch, Timo; Köppl, Tobias; Helmig, Rainer; Wohlmuth, Barbara 2 2019 Interface dynamics for an Allen-Cahn-type equation governing a matrix-valued field. Zbl 1439.35408Wang, Dong; Osting, Braxton; Wang, Xiao-Ping 2 2019 On constrained Langevin equations and (bio)chemical reaction networks. Zbl 07033867Anderson, David F.; Higham, Desmond J.; Leite, Saul C.; Williams, Ruth J. 1 2019 Wave propagation and imaging in moving random media. Zbl 1409.76014Borcea, Liliana; Garnier, Josselin; Solna, Knut 1 2019 Globally constructed adaptive local basis set for spectral projectors of second order differential operators. Zbl 1409.65118Li, Yingzhou; Lin, Lin 1 2019 A two-dimensional “flea on the elephant” phenomenon and its numerical visualization. Zbl 1408.35110Bianchini, Roberta; Gosse, Laurent; Zuazua, Enrique 1 2019 A fast hierarchically preconditioned eigensolver based on multiresolution matrix decomposition. Zbl 1455.65053Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, Ziyun 1 2019 Asymptotic-preserving scheme for the resolution of evolution equations with stiff transport terms. Zbl 1412.35331Fedele, Baptiste; Negulescu, Claudia; Possanner, Stefan 1 2019 Numerical methods for computing an averaged matrix field. Application to the asymptotic analysis of a parabolic problem with stiff transport terms. Zbl 1426.65143Blanc, Thomas 1 2019 On the convergence rates of GMsFEMs for heterogeneous elliptic problems without oversampling techniques. Zbl 1426.65179Li, Guanglian 1 2019 A multiscale domain decomposition algorithm for boundary value problems for eikonal equations. Zbl 1426.65198Martin, Lindsay; Tsai, Yen-Hsi R. 1 2019 Effective properties of fibrous Composites and cluster convergence. Zbl 1421.74086Mityushev, Vladimir; Drygas, Piotr 1 2019 Stochastic model reduction for slow-fast systems with moderate time scale separation. 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Zbl 1434.82101Massatt, Daniel; Carr, Stephen; Luskin, Mitchell; Ortner, Christoph 1 2018 ...and 730 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,635 Authors 71 Chung, Tsz Shun Eric 52 Efendiev, Yalchin R. 42 Abdulle, Assyr 37 Degond, Pierre 36 Garnier, Josselin 35 Shen, Zuowei 34 Lu, Jianfeng 30 Osher, Stanley Joel 29 Ammari, Habib M. 29 Ortner, Christoph 29 Wheeler, Mary Fanett 29 Ying, Lexing 27 Chen, Ke 27 Du, Qiang 27 Jin, Shi 25 Carrillo de la Plata, José Antonio 24 Peterseim, Daniel 24 Tai, Xuecheng 23 Wick, Thomas 22 Huang, Ting-Zhu 22 Vasilyeva, Maria V. 21 Bal, Guillaume 21 Bostan, Mihai 21 Burger, Martin 21 Qian, Jianliang 20 Hou, Thomas Yizhao 20 Leung, Wingtat 20 Park, Won-Kwang 19 Bao, Weizhu 19 Bellomo, Nicola 19 Bertozzi, Andrea Louise 19 Galvis, Juan 19 Gunzburger, Max D. 19 Jiang, Lijian 19 Kevrekidis, Ioannis George 19 Le Bris, Claude 19 Pareschi, Lorenzo 19 Schütte, Christof 18 Luskin, Mitchell 18 Shen, Lixin 18 Valentin, Frédéric 17 Cui, Junzhi 17 Gander, Martin Jakob 17 Jenny, Patrick 17 Kang, Hyeonbae 17 Lawley, Sean D. 17 Peyré, Gabriel 17 Schweizer, Ben 17 Sølna, Knut 17 Wu, Boying 17 Zhang, Xiaoqun 16 Combettes, Patrick L. 16 Dimarco, Giacomo 16 Henning, Patrick 16 Pavliotis, Grigorios A. 16 Quarteroni, Alfio M. 16 Steidl, Gabriele 16 Süli, Endre E. 16 Yang, Haizhao 16 Zeng, Tie Yong 15 Bressloff, Paul C. 15 Chambolle, Antonin 15 Grohs, Philipp 15 Hajibeygi, Hadi 15 Holcman, David 15 Liu, Jianguo 15 Mikelić, Andro 15 Ohlberger, Mario 15 Samaey, Giovanni 15 Wu, Chunlin 14 Borcea, Liliana 14 Feng, Xiangchu 14 Ha, Seung-Yeal 14 Hauck, Cory D. 14 Holm, Darryl D. 14 Karniadakis, George Em 14 Klawonn, Axel 14 Koumoutsakos, Petros D. 14 Owhadi, Houman 14 Schönlieb, Carola-Bibiane 14 Sini, Mourad 14 Spiliopoulos, Konstantinos V. 14 Stefanelli, Ulisse 14 Yao, Jen-Chih 13 Aujol, Jean-François 13 Cai, Jian-Feng 13 Dong, Bin 13 Fadili, Jalal M. 13 Ji, Hui 13 Kružík, Martin 13 Majda, Andrew J. 13 Nordbotten, Jan Martin 13 Piccoli, Benedetto 13 Scianna, Marco 13 Yang, Xu 13 Zanella, Mattia 13 Zhu, Wei 12 Antoine, Xavier 12 Banks, Harvey Thomas 12 Bredies, Kristian ...and 8,535 more Authors all top 5 Cited in 494 Journals 484 Journal of Computational Physics 258 Multiscale Modeling & Simulation 225 Computer Methods in Applied Mechanics and Engineering 181 Journal of Scientific Computing 169 Journal of Computational and Applied Mathematics 146 SIAM Journal on Scientific Computing 129 Computers & Mathematics with Applications 127 Journal of Mathematical Imaging and Vision 124 M\(^3\)AS. 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