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: 1,070 Publications (since 2003) References Indexed: 465 Publications with 18,288 References. all top 5 Latest Issues 20, No. 1 (2022) 19, No. 4 (2021) 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 18 Efendiev, Yalchin R. 17 Garnier, Josselin 15 Schütte, Christof 14 Hou, Thomas Yizhao 14 Sølna, Knut 13 Degond, Pierre 13 Luskin, Mitchell 12 Ortner, Christoph 11 Abdulle, Assyr 11 Borcea, Liliana 11 Osher, Stanley Joel 10 Ammari, Habib M. 10 Chung, Tsz Shun Eric 10 Lu, Jianfeng 9 Jin, Shi 9 Margetis, Dionisios 9 Vanden-Eijnden, Eric 8 Caselles Costa, Vicent 8 Forest, Mark Gregory 8 Kevrekidis, Ioannis George 8 Weinstein, Michael I. 8 Wheeler, Mary Fanett 7 Cao, Liqun 7 Engquist, Bjorn E. 7 Horenko, Illia 7 Jiang, Lijian 7 Li, Qin 7 Lin, Lin 7 Mikelić, Andro 7 Noé, Frank 7 Papanicolaou, George C. 7 Shapeev, Alexander V. 7 Spiliopoulos, Konstantinos V. 6 Bal, Guillaume 6 Du, Qiang 6 Holcman, David 6 Majda, Andrew J. 6 Mucha, Peter J. 6 Negulescu, Claudia 6 Qian, Jianliang 6 Sini, Mourad 6 Voigt, Axel 6 Weber, Marcus 6 Xin, Jack X. 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 Li, Guanglian 5 Målqvist, Axel 5 Ming, Pingbing 5 Movchan, Alexander B. 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 Ward, Michael J. 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 Craster, Richard V. 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, Tiejun 4 Li, Xiantao 4 Lipton, Robert P. 4 Lötstedt, Per ...and 1,654 more Authors all top 5 Fields 532 Numerical analysis (65-XX) 501 Partial differential equations (35-XX) 238 Fluid mechanics (76-XX) 207 Probability theory and stochastic processes (60-XX) 184 Statistical mechanics, structure of matter (82-XX) 167 Mechanics of deformable solids (74-XX) 130 Biology and other natural sciences (92-XX) 82 Optics, electromagnetic theory (78-XX) 75 Statistics (62-XX) 66 Ordinary differential equations (34-XX) 61 Computer science (68-XX) 58 Information and communication theory, circuits (94-XX) 57 Dynamical systems and ergodic theory (37-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 41 Quantum theory (81-XX) 34 Operations research, mathematical programming (90-XX) 31 Mechanics of particles and systems (70-XX) 29 Systems theory; control (93-XX) 26 Geophysics (86-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Classical thermodynamics, heat transfer (80-XX) 16 Approximations and expansions (41-XX) 16 Integral equations (45-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Operator theory (47-XX) 12 Combinatorics (05-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 6 Potential theory (31-XX) 6 Global analysis, analysis on manifolds (58-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 888 Publications have been cited 10,784 times in 7,338 Documents Cited by ▼ Year ▼ Signal recovery by proximal forward-backward splitting. Zbl 1179.94031Combettes, Patrick L.; Wajs, Valérie R. 544 2005 A review of image denoising algorithms, with a new one. Zbl 1108.94004Buades, A.; Coll, B.; Morel, J. M. 345 2005 Nonlocal operators with applications to image processing. Zbl 1181.35006Gilboa, Guy; Osher, Stanley 322 2008 An iterative regularization method for total variation-based image restoration. Zbl 1090.94003Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao 275 2005 Split Bregman methods and frame based image restoration. Zbl 1189.94014Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 173 2010 Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026Osher, Stanley; Solé, Andrés; Vese, Luminita 126 2003 A multiscale mortar mixed finite element method. Zbl 1322.76039Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 119 2007 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 110 2006 Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042Galvis, Juan; Efendiev, Yalchin 102 2010 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234Engquist, Björn; Ying, Lexing 100 2011 Nonlocal linear image regularization and supervised segmentation. Zbl 1140.68517Gilboa, Guy; Osher, Stanley 94 2007 Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029Galvis, Juan; Efendiev, Yalchin 86 2010 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. 84 2004 Deblurring and denoising of images by nonlocal functionals. Zbl 1161.68827Kindermann, Stefan; Osher, Stanley; Jones, Peter W. 81 2005 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034Bao, Weizhu 77 2004 Multiscale stochastic volatility asymptotics. Zbl 1074.91015Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 71 2004 Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Zbl 1160.76372Jenny, P.; Lee, S. H.; Tchelepi, H. A. 70 2004 Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195Babuska, Ivo; Lipton, Robert 66 2011 A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057Gunzburger, Max; Lehoucq, R. B. 64 2010 A posteriori control of modeling errors and discretization errors. Zbl 1050.65100Braack, Malte; Ern, Alexandre 62 2003 Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea 61 2011 Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing 61 2015 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 61 2015 Oversampling for the multiscale finite element method. Zbl 1297.65155Henning, Patrick; Peterseim, Daniel 59 2013 On a priori error analysis of fully discrete heterogeneous multiscale FEM. Zbl 1092.65093Abdulle, Assyr 57 2005 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. 53 2005 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 51 2005 A fast total variation minimization method for image restoration. Zbl 1172.94316Huang, Yumei; Ng, Michael K.; Wen, You-Wei 51 2008 Bayesian numerical homogenization. Zbl 1322.35002Owhadi, Houman 49 2015 From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205Erban, Radek; Othmer, Hans G. 48 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 48 2006 Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares. Zbl 1091.94007Nikolova, Mila 47 2005 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 45 2005 A multiscale finite element method for numerical homogenization. Zbl 1093.35007Allaire, Grégoire; Brizzi, Robert 45 2005 The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 45 2007 Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124Brouwer, Jens; Gasser, Ingenuin; Herty, Michael 43 2011 A multiscale image representation using hierarchical \((BV,L^2)\) decompositions. Zbl 1146.68472Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita 43 2004 Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Zbl 1060.35003Quarteroni, Alfio; Veneziani, Alessandro 42 2003 Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215Bertozzi, Andrea L.; Flenner, Arjuna 42 2012 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. 41 2010 Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat 41 2014 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 41 2009 High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135Viet Ha Hoang; Schwab, Christoph 40 2005 Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics. Zbl 1262.60072Anderson, David F.; Higham, Desmond J. 40 2012 Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian 40 2016 A multiple scale model for tumor growth. Zbl 1107.92019Alarcón, T.; Byrne, H. M.; Maini, P. K. 39 2005 Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan 39 2007 Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235Luo, Guo; Hou, Thomas Y. 39 2014 A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 38 2009 From the microscale to collective crowd dynamics. Zbl 1280.90019Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 37 2013 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041Mairal, Julien; Sapiro, Guillermo; Elad, Michael 37 2008 Capturing small scales in elliptic problems using a residual-free bubbles finite element method. Zbl 1032.65131Sangalli, Giancarlo 36 2003 Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments. Zbl 1176.35020van Noorden, T. L. 36 2009 Strong convergence rate for two-time-scale jump-diffusion stochastic differential systems. Zbl 1144.60038Givon, Dror 35 2007 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 35 2008 Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140Owhadi, Houman; Zhang, Lei 35 2011 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135Li, Jingzhi; Liu, Hongyu; Zou, Jun 35 2014 Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen 34 2018 A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207Mielke, Alexander; Roubíček, Tomáš 34 2003 Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113Efendiev, Y.; Pankov, A. 33 2004 Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358Boyaval, Sébastien 32 2008 Fast and slow dynamics for the computational singular perturbation method. Zbl 1065.34049Zagaris, Antonios; Kaper, Hans G.; Kaper, Tasso J. 32 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 32 2010 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. 32 2015 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. 32 2008 Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael 31 2009 Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053Albi, G.; Pareschi, L. 30 2013 A Lagrangian particle-wavelet method. Zbl 1122.65085Bergdorf, Michael; Koumoutsakos, Petros 30 2006 Multilevel adaptive particle methods for convection-diffusion equations. Zbl 1088.76055Bergdorf, Michael; Cottet, Georges-Henri; Koumoutsakos, Petros 29 2005 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342Nolen, James; Papanicolaou, George; Pironneau, Olivier 29 2008 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028Bouchitté, Guy; Schweizer, Ben 29 2010 A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128Ohlberger, Mario 28 2005 A fourth-order variational image registration model and its fast multigrid algorithm. Zbl 1218.65022Chumchob, N.; Chen, K.; Brito-Loeza, Carlos 28 2011 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 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 28 2008 Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198Dimarco, Giacomo; Pareschi, Lorenzo 28 2008 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. 28 2010 Transition path theory for Markov jump processes. Zbl 1185.60086Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric 28 2009 Well modeling in the multiscale finite volume method for subsurface flow simulation. Zbl 1205.76175Wolfsteiner, Christian; Lee, Seong H.; Tchelepi, Hamdi A. 28 2006 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. 27 2011 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 27 2010 Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521Kornhuber, Ralf; Yserentant, Harry 27 2016 Existence of global weak solutions to some regularized kinetic models for dilute polymers. Zbl 1228.76004Barrett, John W.; Süli, Endre 26 2007 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 26 2005 Image decomposition using total variation and \(\text{div}(\text{BMO})\). Zbl 1093.94006Le, Triet M.; Vese, Luminita A. 26 2005 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347Joly, Patrick; Tordeux, Sébastien 26 2006 An MsFEM type approach for perforated domains. Zbl 1316.35021Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei 26 2014 Consistent energy-based atomistic/continuum coupling for two-body potentials in one and two dimensions. Zbl 1246.74065Shapeev, Alexander V. 25 2011 Homogenization of immiscible compressible two-phase flow in porous media: application to gas migration in a nuclear waste repository. Zbl 1215.35024Amaziane, B.; Antontsev, S.; Pankratov, L.; Piatnitski, A. 25 2010 Phase transitions in a kinetic flocking model of Cucker-Smale type. Zbl 1356.35260Barbaro, Alethea B. T.; Cañizo, José A.; Carrillo, José A.; Degond, Pierre 25 2016 Bloch-wave homogenization on large time scales and dispersive effective wave equations. Zbl 1320.35043Dohnal, T.; Lamacz, A.; Schweizer, B. 25 2014 Finite element heterogeneous multiscale method for the wave equation: long-time effects. Zbl 1315.65084Abdulle, Assyr; Grote, Marcus J.; Stohrer, Christian 25 2014 Implicit-explicit variational integration of highly oscillatory problems. Zbl 1185.65227Stern, Ari; Grinspun, Eitan 25 2009 Two-dimensional bulk microflow simulations based on regularized grad’s 13-moment equations. Zbl 1388.76340Torrilhon, Manuel 25 2006 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 Blow-up of solutions to a \(p\)-Laplace equation. Zbl 1261.35137Gorb, Yuliya; Novikov, Alexei 24 2012 Importance sampling for multiscale diffusions. Zbl 1250.60031Dupuis, Paul; Spiliopoulos, Konstantinos; Wang, Hui 24 2012 On asymptotic preserving schemes for a class of stochastic differential equations in averaging and diffusion approximation regimes. Zbl 1481.65019Bréhier, Charles-Edouard; Rakotonirina-Ricquebourg, Shmuel 2 2022 Analysis and optimization of certain parallel Monte Carlo methods in the low temperature limit. Zbl 07490841Dupuis, Paul; Wu, Guo-Jhen 1 2022 Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. Zbl 1461.65067Schäfer, Florian; Sullivan, T. J.; Owhadi, Houman 5 2021 A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. Zbl 1453.82099Heningburg, Vincent; Hauck, Cory D. 3 2021 Mixed finite element approximation of periodic Hamilton-Jacobi-Bellman problems with application to numerical homogenization. Zbl 07382143Gallistl, Dietmar; Sprekeler, Timo; Süli, Endre 3 2021 An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. Zbl 1470.35128Capdeboscq, Yves; Griesmaier, Roland; Knöller, Marvin 3 2021 Wavelet-based edge multiscale finite element method for Helmholtz problems in perforated domains. Zbl 1478.65124Fu, Shubin; Li, Guanglian; Craster, Richard; Guenneau, Sebastien 3 2021 Exponential convergence for multiscale linear elliptic PDEs via adaptive edge basis functions. Zbl 1473.65296Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan 2 2021 Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation. Zbl 07382150Feng, Yue; Yi, Wenfan 2 2021 Homogenization of two-phase flow in porous media from pore to Darcy scale: a phase-field approach. Zbl 1462.35045Metzger, Stefan; Knabner, Peter 2 2021 Optimal convergence rates for elliptic homogenization problems in nondivergence-form: analysis and numerical illustrations. Zbl 1475.35030Sprekeler, Timo; Tran, Hung V. 1 2021 Weak SINDy: Galerkin-based data-driven model selection. Zbl 07411447Messenger, Daniel A.; Bortz, David M. 1 2021 An inverse random source problem for Maxwell’s equations. Zbl 1453.78006Li, Peijun; Wang, Xu 1 2021 Kernel analog forecasting: multiscale test problems. Zbl 07382142Burov, Dmitry; Giannakis, Dimitrios; Manohar, Krithika; Stuart, Andrew 1 2021 Multiflocks: emergent dynamics in systems with multiscale collective behavior. Zbl 1470.92403Shvydkoy, Roman; Tadmor, Eitan 1 2021 Sharp error estimates on a stochastic structure-preserving scheme In computing effective diffusivity of 3D chaotic flows. Zbl 07382148Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen 1 2021 Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi 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 Diffusive limit of a two-dimensional well-balanced scheme for the free Klein-Kramers equation. Zbl 1462.35400Gosse, Laurent 1 2021 Multiscale control of generic second order traffic models by driver-assist vehicles. Zbl 1470.35372Chiarello, Felisia Angela; Piccoli, Benedetto; Tosin, Andrea 1 2021 Effective coupling conditions for arbitrary flows in Stokes-Darcy systems. Zbl 1470.35280Eggenweiler, Elissa; Rybak, Iryna 1 2021 Estimation of the Koopman generator by Newton’s extrapolation. Zbl 1470.60216Sechi, Renata; Sikorski, Alexander; Weber, Marcus 1 2021 Mathematical study of a Lagrange-multiplier technique for stiff transport problems. Zbl 1465.35033Negulescu, Claudia 1 2021 Singular limit for reactive diffusive transport through an array of thin channels in case of critical diffusivity. Zbl 1481.35033Gahn, Markus; Neuss-Radu, Maria 1 2021 Explicit and energy-conserving constraint energy minimizing generalized multiscale discontinuous Galerkin method for wave propagation in heterogeneous media. Zbl 1478.65083Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat 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. 10 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 6 2020 A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J. 5 2020 Efficient approximation of flow problems with multiple scales in time. Zbl 1446.65065Frei, S.; Richter, T. 4 2020 Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism. Zbl 1446.82064Hudson, Thomas; Li, Xingjie H. 4 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 4 2020 A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction. Zbl 1459.35194Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai 3 2020 A kinetic approach to active rods dynamics in confined domains. Zbl 1439.35478Berlyand, Leonid; Jabin, Pierre-Emmanuel; Potomkin, Mykhailo; Ratajczyk, Elżbieta 3 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 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 3 2020 Wavelet sparse regularization for manifold-valued data. Zbl 1457.94026Storath, Martin; Weinmann, Andreas 3 2020 Asymptotic and numerical analysis of a stochastic PDE model of volume transmission. Zbl 1445.35346Lawley, Sean D.; Shankar, Varun 2 2020 Erratum to: “Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators”. 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Zbl 1435.65212Xu, Fei 2 2020 Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. Zbl 1433.76150Dimarco, Giacomo; Pareschi, Lorenzo 2 2020 Optimizing weighted ensemble sampling of steady states. Zbl 07205781Aristoff, David; Zuckerman, Daniel M. 2 2020 A fast algorithm for multiresolution mode decomposition. Zbl 1440.42020Tang, Gao; Yang, Haizhao 2 2020 Kinetic/fluid micro-macro numerical scheme for a two component gas mixture. Zbl 1446.65137Crestetto, Anaïs; Klingenberg, Christian; Pirner, Marlies 1 2020 On the rotating nonlinear Klein-Gordon equation: nonrelativistic limit and numerical methods. Zbl 1446.65074Mauser, Norbert J.; Zhang, Yong; Zhao, Xiaofei 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 Shape optimization for composite materials and scaffold structures. 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Nathan 1 2019 ...and 788 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,614 Authors 90 Chung, Tsz Shun Eric 64 Efendiev, Yalchin R. 45 Abdulle, Assyr 39 Garnier, Josselin 37 Degond, Pierre 37 Lu, Jianfeng 36 Shen, Zuowei 32 Osher, Stanley Joel 31 Jin, Shi 30 Ortner, Christoph 30 Wheeler, Mary Fanett 30 Ying, Lexing 29 Ammari, Habib M. 29 Vasilyeva, Maria V. 28 Carrillo de la Plata, José Antonio 28 Chen, Ke 28 Du, Qiang 27 Wick, Thomas 25 Leung, Wingtat 25 Peterseim, Daniel 25 Tai, Xuecheng 24 Huang, Ting-Zhu 23 Hou, Thomas Yizhao 22 Bao, Weizhu 22 Bellomo, Nicola 22 Burger, Martin 22 Gunzburger, Max D. 22 Qian, Jianliang 21 Bal, Guillaume 21 Bostan, Mihai 21 Pareschi, Lorenzo 21 Park, Won-Kwang 21 Schütte, Christof 20 Cui, Junzhi 20 Fu, Shubin 20 Ha, Seung-Yeal 20 Jiang, Lijian 20 Kevrekidis, Ioannis George 20 Le Bris, Claude 20 Luskin, Mitchell 20 Valentin, Frédéric 20 Wu, Boying 20 Zeng, Tie Yong 19 Bertozzi, Andrea Louise 19 Galvis, Juan 19 Henning, Patrick 19 Quarteroni, Alfio M. 19 Shen, Lixin 19 Yang, Haizhao 18 Dimarco, Giacomo 18 Pavliotis, Grigorios A. 18 Steidl, Gabriele 18 Zhang, Xiaoqun 17 Combettes, Patrick L. 17 Gander, Martin Jakob 17 Jenny, Patrick 17 Kang, Hyeonbae 17 Karniadakis, George Em 17 Lawley, Sean D. 17 Owhadi, Houman 17 Peyré, Gabriel 17 Schönlieb, Carola-Bibiane 17 Schweizer, Ben 17 Sølna, Knut 16 Bressloff, Paul C. 16 Chambolle, Antonin 16 Hajibeygi, Hadi 16 Holcman, David 16 Ohlberger, Mario 16 Samaey, Giovanni 16 Spiliopoulos, Konstantinos V. 16 Süli, Endre E. 16 Wu, Chunlin 16 Zanella, Mattia 15 Borcea, Liliana 15 Feng, Xiangchu 15 Grohs, Philipp 15 Hauck, Cory D. 15 Herty, Michael Matthias 15 Holm, Darryl D. 15 Liu, Jianguo 15 Mikelić, Andro 15 Soize, Christian 15 Stuart, Andrew M. 15 Yang, Xu 15 Yao, Jen-Chih 14 Aujol, Jean-François 14 Cai, Jian-Feng 14 Cholamjiak, Prasit 14 Dong, Bin 14 Klawonn, Axel 14 Koumoutsakos, Petros D. 14 Li, Guanglian 14 Li, Qin 14 Lin, Guang 14 Lv, Xiaoguang 14 Majda, Andrew J. 14 Nordbotten, Jan Martin 14 Sini, Mourad 14 Stefanelli, Ulisse ...and 9,514 more Authors all top 5 Cited in 527 Journals 554 Journal of Computational Physics 282 Multiscale Modeling & Simulation 274 Computer Methods in Applied Mechanics and Engineering 192 Journal of Scientific Computing 180 Journal of Computational and Applied Mathematics 160 SIAM Journal on Scientific Computing 143 Computers & Mathematics with Applications 138 Journal of Mathematical Imaging and Vision 136 M\(^3\)AS. 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