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: Journal; Indexed cover-to-cover Documents Indexed: 1,186 Publications (since 2003) References Indexed: 581 Publications with 23,425 References. all top 5 Latest Issues 22, No. 1 (2024) 21, No. 4 (2023) 21, No. 3 (2023) 21, No. 2 (2023) 21, No. 1 (2023) 20, No. 4 (2022) 20, No. 3 (2022) 20, No. 2 (2022) 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 19 Garnier, Josselin 18 Efendiev, Yalchin R. 16 Hou, Thomas Yizhao 16 Schütte, Christof 16 Sølna, Knut 15 Ortner, Christoph 14 Chung, Tsz Shun Eric 14 Luskin, Mitchell 13 Ammari, Habib 13 Degond, Pierre 12 Abdulle, Assyr 11 Borcea, Liliana 11 Lu, Jianfeng 11 Osher, Stanley Joel 10 Jin, Shi 9 Bal, Guillaume 9 Kevrekidis, Ioannis George 9 Margetis, Dionisios 9 Vanden-Eijnden, Eric 9 Weinstein, Michael I. 8 Cao, Liqun 8 Caselles Costa, Vicent 8 Forest, Mark Gregory 8 Jiang, Lijian 8 Li, Qin 8 Sini, Mourad 8 Wheeler, Mary Fanett 7 Bressloff, Paul C. 7 Engquist, Bjorn E. 7 Lin, Lin 7 Målqvist, Axel 7 Mikelić, Andro 7 Mucha, Peter J. 7 Noé, Frank 7 Papanicolaou, George C. 7 Peterseim, Daniel 7 Qian, Jianliang 7 Shapeev, Alexander V. 7 Spiliopoulos, Konstantinos V. 6 Chen, Huajie 6 Du, Qiang 6 Holcman, David 6 Horenko, Illia 6 Le Bris, Claude 6 Legoll, Frédéric 6 Majda, Andrew J. 6 Massatt, Daniel 6 Ming, Pingbing 6 Negulescu, Claudia 6 Stuart, Andrew M. 6 Voigt, Axel 6 Weber, Marcus 6 Xin, Jack X. 6 Zhang, Lei 6 Zhang, Pingwen 5 Burridge, Robert 5 Caflisch, Russel E. 5 Chen, Jingrun 5 Craster, Richard V. 5 Fackeldey, Konstantin 5 Fouque, Jean-Pierre 5 Galvis, Juan 5 Gunzburger, Max D. 5 Higham, Desmond J. 5 Li, Guanglian 5 Li, Tiejun 5 Lipton, Robert P. 5 Liu, Jianguo 5 Lu, Wangtao 5 Movchan, Alexander B. 5 Najm, Habib N. 5 Ortiz, Michael 5 Owhadi, Houman 5 Pareschi, Lorenzo 5 Pavliotis, Grigorios A. 5 Salloum, Maher 5 Sargsyan, Khachik V. 5 Shen, Zuowei 5 Stoltz, Gabriel 5 Taylor, Dane 5 Tsai, Yen-Hsi Richard 5 Ward, Michael J. 5 Xiang, Yang 5 Yang, Haizhao 5 Zhang, Zhiwen 5 Zhou, Aihui 4 Aarnes, Jørg E. 4 Aristoff, David 4 Aujol, Jean-François 4 Bao, Weizhu 4 Ben Abdallah, Naoufel 4 Brown, Donald L. 4 Burger, Martin 4 Carrillo de la Plata, José Antonio 4 Crouseilles, Nicolas 4 Cushman, John H. 4 Dagan, Gedeon 4 Dai, Xiaoying 4 Damle, Anil ...and 1,830 more Authors all top 5 Fields 589 Numerical analysis (65-XX) 566 Partial differential equations (35-XX) 255 Fluid mechanics (76-XX) 224 Probability theory and stochastic processes (60-XX) 202 Statistical mechanics, structure of matter (82-XX) 187 Mechanics of deformable solids (74-XX) 138 Biology and other natural sciences (92-XX) 92 Optics, electromagnetic theory (78-XX) 80 Statistics (62-XX) 72 Ordinary differential equations (34-XX) 68 Computer science (68-XX) 65 Dynamical systems and ergodic theory (37-XX) 58 Information and communication theory, circuits (94-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 47 Quantum theory (81-XX) 37 Operations research, mathematical programming (90-XX) 33 Mechanics of particles and systems (70-XX) 31 Systems theory; control (93-XX) 26 Geophysics (86-XX) 25 Classical thermodynamics, heat transfer (80-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 19 Integral equations (45-XX) 16 Approximations and expansions (41-XX) 15 Operator theory (47-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Combinatorics (05-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 7 Potential theory (31-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Functional analysis (46-XX) 6 Astronomy and astrophysics (85-XX) 4 Real functions (26-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 1,002 Publications have been cited 14,020 times in 9,320 Documents Cited by ▼ Year ▼ Signal recovery by proximal forward-backward splitting. Zbl 1179.94031 Combettes, Patrick L.; Wajs, Valérie R. 682 2005 Nonlocal operators with applications to image processing. Zbl 1181.35006 Gilboa, Guy; Osher, Stanley 430 2008 A review of image denoising algorithms, with a new one. Zbl 1108.94004 Buades, A.; Coll, B.; Morel, J. M. 423 2005 An iterative regularization method for total variation-based image restoration. Zbl 1090.94003 Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao 308 2005 Split Bregman methods and frame based image restoration. Zbl 1189.94014 Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 196 2010 A multiscale mortar mixed finite element method. Zbl 1322.76039 Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 153 2007 Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026 Osher, Stanley; Solé, Andrés; Vese, Luminita 153 2003 Nonlocal linear image regularization and supervised segmentation. Zbl 1140.68517 Gilboa, Guy; Osher, Stanley 134 2007 Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042 Galvis, Juan; Efendiev, Yalchin 126 2010 Fast discrete curvelet transforms. Zbl 1122.65134 Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 124 2006 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234 Engquist, Björn; Ying, Lexing 119 2011 Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195 Babuska, Ivo; Lipton, Robert 104 2011 Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029 Galvis, Juan; Efendiev, Yalchin 101 2010 On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation. Zbl 1181.76125 Aarnes, Jørg E. 99 2004 A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057 Gunzburger, Max; Lehoucq, R. B. 93 2010 Deblurring and denoising of images by nonlocal functionals. Zbl 1161.68827 Kindermann, Stefan; Osher, Stanley; Jones, Peter W. 93 2005 Oversampling for the multiscale finite element method. Zbl 1297.65155 Henning, Patrick; Peterseim, Daniel 88 2013 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034 Bao, Weizhu 86 2004 Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204 Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing 86 2015 Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Zbl 1160.76372 Jenny, P.; Lee, S. H.; Tchelepi, H. A. 83 2004 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028 Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 81 2015 Multiscale stochastic volatility asymptotics. Zbl 1074.91015 Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 78 2004 Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232 Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea 75 2011 Bayesian numerical homogenization. Zbl 1322.35002 Owhadi, Houman 74 2015 A posteriori control of modeling errors and discretization errors. Zbl 1050.65100 Braack, Malte; Ern, Alexandre 68 2003 A fast total variation minimization method for image restoration. Zbl 1172.94316 Huang, Yumei; Ng, Michael K.; Wen, You-Wei 65 2008 On a priori error analysis of fully discrete heterogeneous multiscale FEM. Zbl 1092.65093 Abdulle, Assyr 63 2005 Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104 Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen 62 2018 A multiscale finite element method for numerical homogenization. Zbl 1093.35007 Allaire, Grégoire; Brizzi, Robert 61 2005 Multiscale representations for manifold-valued data. Zbl 1236.65166 Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 61 2005 Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215 Bertozzi, Andrea L.; Flenner, Arjuna 61 2012 Extinction times for birth-death processes: Exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation. Zbl 1072.60092 Doering, Charles R.; Sargsyan, Khachik V.; Sander, Leonard M. 60 2005 The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024 Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 60 2007 Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares. Zbl 1091.94007 Nikolova, Mila 59 2005 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073 Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 59 2009 Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124 Brouwer, Jens; Gasser, Ingenuin; Herty, Michael 57 2011 Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085 Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat 56 2014 An asymptotic analysis of the mean first passage time for narrow escape problems. I: Two-dimensional domains. Zbl 1203.35023 Pillay, S.; Ward, M. J.; Peirce, A.; Kolokolnikov, T. 56 2010 A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Zbl 1124.76022 Aarnes, Jørg E.; Krogstad, Stein; Lie, Knut-Andreas 55 2006 Strong convergence rate for two-time-scale jump-diffusion stochastic differential systems. Zbl 1144.60038 Givon, Dror 55 2007 Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235 Luo, Guo; Hou, Thomas Y. 55 2014 From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205 Erban, Radek; Othmer, Hans G. 53 2005 A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency. Zbl 1075.35101 Ammari, Habib; Iakovleva, Ekaterina; Lesselier, Dominique 52 2005 Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems. Zbl 1175.60058 Coifman, R. R.; Kevrekidis, I. G.; Lafon, S.; Maggioni, M.; Nadler, B. 52 2008 Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Zbl 1060.35003 Quarteroni, Alfio; Veneziani, Alessandro 51 2003 A multiscale image representation using hierarchical \((BV,L^2)\) decompositions. Zbl 1146.68472 Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita 51 2004 Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309 Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan 50 2007 From the microscale to collective crowd dynamics. Zbl 1280.90019 Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 50 2013 A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125 Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 49 2009 High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135 Viet Ha Hoang; Schwab, Christoph 49 2005 Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments. Zbl 1176.35020 van Noorden, T. L. 47 2009 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135 Li, Jingzhi; Liu, Hongyu; Zou, Jun 47 2014 Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148 Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian 47 2016 An asymptotic analysis of the mean first passage time for narrow escape problems. II: The sphere. Zbl 1204.35030 Cheviakov, Alexei F.; Ward, Michael J.; Straube, Ronny 47 2010 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041 Mairal, Julien; Sapiro, Guillermo; Elad, Michael 46 2008 Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053 Albi, G.; Pareschi, L. 46 2013 Transition path theory for Markov jump processes. Zbl 1185.60086 Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric 45 2009 Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140 Owhadi, Houman; Zhang, Lei 45 2011 Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics. Zbl 1262.60072 Anderson, David F.; Higham, Desmond J. 44 2012 A multiple scale model for tumor growth. Zbl 1107.92019 Alarcón, T.; Byrne, H. M.; Maini, P. K. 43 2005 Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113 Efendiev, Y.; Pankov, A. 41 2004 On atomistic-to-continuum coupling by blending. Zbl 1160.65338 Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 40 2008 A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207 Mielke, Alexander; Roubíček, Tomáš 39 2003 Fast and slow dynamics for the computational singular perturbation method. Zbl 1065.34049 Zagaris, Antonios; Kaper, Hans G.; Kaper, Tasso J. 39 2004 An MsFEM type approach for perforated domains. Zbl 1316.35021 Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei 39 2014 Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187 Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 38 2010 Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040 Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael 38 2009 Capturing small scales in elliptic problems using a residual-free bubbles finite element method. Zbl 1032.65131 Sangalli, Giancarlo 37 2003 A BDDC algorithm with enriched coarse spaces for two-dimensional elliptic problems with oscillatory and high contrast coefficients. Zbl 1317.65090 Kim, Hyea Hyun; Chung, Eric T. 37 2015 Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521 Kornhuber, Ralf; Yserentant, Harry 36 2016 Phase transitions in a kinetic flocking model of Cucker-Smale type. Zbl 1356.35260 Barbaro, Alethea B. T.; Cañizo, José A.; Carrillo, José A.; Degond, Pierre 36 2016 A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128 Ohlberger, Mario 35 2005 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342 Nolen, James; Papanicolaou, George; Pironneau, Olivier 35 2008 Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358 Boyaval, Sébastien 35 2008 Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064 Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 35 2019 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028 Bouchitté, Guy; Schweizer, Ben 35 2010 A Lagrangian particle-wavelet method. Zbl 1122.65085 Bergdorf, Michael; Koumoutsakos, Petros 34 2006 Existence of global weak solutions to some regularized kinetic models for dilute polymers. Zbl 1228.76004 Barrett, John W.; Süli, Endre 33 2007 Mixed multiscale finite element methods using limited global information. Zbl 1277.76036 Aarnes, J. E.; Efendiev, Y.; Jiang, L. 33 2008 Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198 Dimarco, Giacomo; Pareschi, Lorenzo 33 2008 Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337 Abdulle, Assyr; Schwab, Christoph 33 2005 Analysis of explicit tau-leaping schemes for simulating chemically reacting systems. Zbl 1145.92041 Li, Tiejun 32 2007 Implicit-explicit variational integration of highly oscillatory problems. Zbl 1185.65227 Stern, Ari; Grinspun, Eitan 32 2009 Adaptive finite element approximations for Kohn-Sham models. Zbl 1316.35260 Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui 32 2014 Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs. Zbl 1085.35095 Fernández, Miguel Ángel; Milisic, Vuk; Quarteroni, Alfio 31 2005 Multilevel adaptive particle methods for convection-diffusion equations. Zbl 1088.76055 Bergdorf, Michael; Cottet, Georges-Henri; Koumoutsakos, Petros 31 2005 Finite element heterogeneous multiscale method for the wave equation. Zbl 1298.65145 Abdulle, Assyr; Grote, Marcus J. 31 2011 A fourth-order variational image registration model and its fast multigrid algorithm. Zbl 1218.65022 Chumchob, N.; Chen, K.; Brito-Loeza, Carlos 31 2011 The TVL1 model: a geometric point of view. Zbl 1187.94010 Duval, Vincent; Aujol, Jean-François; Gousseau, Yann 31 2009 Bloch-wave homogenization on large time scales and dispersive effective wave equations. Zbl 1320.35043 Dohnal, T.; Lamacz, A.; Schweizer, B. 31 2014 First passage statistics for the capture of a Brownian particle by a structured spherical target with multiple surface traps. Zbl 1372.35021 Lindsay, Alan E.; Bernoff, Andrew J.; Ward, Michael J. 31 2017 Blow-up of solutions to a \(p\)-Laplace equation. Zbl 1261.35137 Gorb, Yuliya; Novikov, Alexei 31 2012 Well modeling in the multiscale finite volume method for subsurface flow simulation. Zbl 1205.76175 Wolfsteiner, Christian; Lee, Seong H.; Tchelepi, Hamdi A. 30 2006 A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics. Zbl 1236.85006 Godillon-Lafitte, Pauline; Goudon, Thierry 30 2005 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347 Joly, Patrick; Tordeux, Sébastien 30 2006 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370 Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 30 2008 Approximation of polyatomic FPU lattices by KdV equations. Zbl 1317.37100 Gaison, Jeremy; Moskow, Shari; Wright, J. Douglas; Zhang, Qimin 30 2014 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216 Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 29 2010 Image decomposition using total variation and \(\text{div}(\text{BMO})\). Zbl 1093.94006 Le, Triet M.; Vese, Luminita A. 29 2005 Two-dimensional bulk microflow simulations based on regularized grad’s 13-moment equations. Zbl 1388.76340 Torrilhon, Manuel 28 2006 Transition path theory for Langevin dynamics on manifolds: optimal control and data-driven solver. Zbl 1517.60087 Gao, Yuan; Li, Tiejun; Li, Xiaoguang; Liu, Jian-Guo 7 2023 Optimal reaction coordinates: variational characterization and sparse computation. Zbl 07705311 Bittracher, Andreas; Mollenhauer, Mattes; Koltai, Péter; Schütte, Christof 2 2023 The 3D narrow capture problem for traps with semipermeable interfaces. Zbl 1526.35024 Bressloff, Paul C. 1 2023 Boundary effects in radiative transfer of acoustic waves in a randomly fluctuating half-space. Zbl 1525.76084 Messaoudi, Adel; Cottereau, Regis; Gomez, Christophe 1 2023 Extending the regime of linear response with synthetic forcings. Zbl 1527.82044 Spacek, Renato; Stoltz, Gabriel 1 2023 Crystallinity of the homogenized energy density of periodic lattice systems. Zbl 1518.35046 Chambolle, Antonin; Kreutz, Leonard 1 2023 Speckle memory effect in the frequency domain and stability in time-reversal experiments. Zbl 07705299 Garnier, Josselin; Sølna, Knut 1 2023 Online adaptive algorithm for constraint energy minimizing generalized multiscale discontinuous Galerkin method. Zbl 1514.65177 Pun, Sai-Mang; Cheung, Siu Wun 1 2023 A fast butterfly-compressed Hadamard-Babich integrator for high-frequency Helmholtz equations in inhomogeneous media with arbitrary sources. Zbl 1524.65193 Liu, Yang; Song, Jian; Burridge, Robert; Qian, Jianliang 1 2023 Metropolis crystal surface dynamics in the rough scaling limit: from local equilibrium to semi-empirical PDE. Zbl 1515.82148 Katsevich, Anya 1 2023 Multiscale modeling of sorption kinetics. Zbl 1514.35435 Astuto, Clarissa; Raudino, Antonio; Russo, Giovanni 1 2023 Multiscale analysis for dynamic contact angle hysteresis on rough surfaces. Zbl 1514.34099 Xiao, Si; Xu, Xianmin; Zhang, Zhen 1 2023 Inverse random potential scattering for elastic waves. Zbl 1518.35679 Li, Jianliang; Li, Peijun; Wang, Xu 1 2023 Machine learning moment closure models for the radiative transfer equation. II: Enforcing global hyperbolicity in gradient-based closures. Zbl 07705312 Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F.; Yong, Wen-An 1 2023 Heat generation using Lorentzian nanoparticles: estimation via time-domain techniques. Zbl 07705314 Mukherjee, Arpan; Sini, Mourad 1 2023 Quasi-convergence of an implementation of optimal balance by backward-forward nudging. Zbl 1514.34092 Masur, Gökce Tuba; Mohamad, Haidar; Oliver, Marcel 1 2023 Edge modes in subwavelength resonators in one dimension. Zbl 1522.35057 Ammari, Habib; Barandun, Silvio; Cao, Jinghao; Feppon, Florian 1 2023 Optimal local approximation spaces for parabolic problems. Zbl 1487.65157 Schleuß, Julia; Smetana, Kathrin 9 2022 Multi-resolution localized orthogonal decomposition for Helmholtz problems. Zbl 1493.65204 Hauck, Moritz; Peterseim, Daniel 9 2022 Multiscale invariants of Floquet topological insulators. Zbl 1487.35337 Bal, Guillaume; Massatt, Daniel 8 2022 On asymptotic preserving schemes for a class of stochastic differential equations in averaging and diffusion approximation regimes. Zbl 1481.65019 Bréhier, Charles-Edouard; Rakotonirina-Ricquebourg, Shmuel 7 2022 Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials. Zbl 1498.35458 Bao, Weizhu; Feng, Yue; Yin, Jia 6 2022 A space-time multiscale method for parabolic problems. Zbl 1493.65158 Ljung, Per; Maier, Roland; Målqvist, Axel 6 2022 Efficiency of micro-macro models for reactive two-mineral systems. Zbl 1507.35177 Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja 5 2022 Approximative policy iteration for exit time feedback control problems driven by stochastic differential equations using tensor train format. Zbl 1492.93196 Fackeldey, Konstantin; Oster, Mathias; Sallandt, Leon; Schneider, Reinhold 4 2022 High order topological asymptotics: reconciling layer potentials and compound asymptotic expansions. Zbl 1501.35033 Feppon, Florian; Ammari, Habib 3 2022 Nonreciprocal wave propagation in space-time modulated media. Zbl 1505.35095 Ammari, Habib; Cao, Jinghao; Hiltunen, Erik Orvehed 3 2022 Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs. Zbl 1493.92010 Dietrich, Anne; Kolbe, Niklas; Sfakianakis, Nikolaos; Surulescu, Christina 3 2022 On the random batch method for second order interacting particle systems. Zbl 1505.65003 Jin, Shi; Li, Lei; Sun, Yiqun 3 2022 Upscaling errors in heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1482.65168 Leitenmaier, Lena; Runborg, Olof 3 2022 A semi-Lagrangian computation of front speeds of G-equation in ABC and Kolmogorov flows with estimation via ballistic orbits. Zbl 1482.76064 Kao, Chou; Liu, Yu-Yu; Xin, Jack 3 2022 Uniformly accurate nested Picard iterative integrators for the nonlinear Dirac equation in the nonrelativistic regime. Zbl 1482.35190 Cai, Yongyong; Wang, Yan 3 2022 Hamiltonian Dysthe equation for three-dimensional deep-water gravity waves. Zbl 1490.76037 Guyenne, Philippe; Kairzhan, Adilbek; Sulem, Catherine 2 2022 Enriched nonconforming multiscale finite element method for Stokes flows in heterogeneous media based on high-order weighting functions. Zbl 1487.65179 Feng, Qingqing; Allaire, Gregoire; Omnes, Pascal 2 2022 QM/MM methods for crystalline defects. III: Machine-learned MM models. Zbl 1514.81006 Chen, Huajie; Ortner, Christoph; Wang, Yangshuai 2 2022 Manifold learning and nonlinear homogenization. Zbl 1498.65218 Chen, Shi; Li, Qin; Lu, Jianfeng; Wright, Stephen J. 2 2022 The heterogeneous multiscale method for dispersive Maxwell systems. Zbl 1493.65150 Freese, Philip 2 2022 The narrow capture problem with partially absorbing targets and stochastic resetting. Zbl 1496.35034 Bressloff, Paul C.; Schumm, Ryan D. 2 2022 Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. Zbl 1496.65220 Kazeev, Vladimir; Oseledets, Ivan; Rakhuba, Maxim V.; Schwab, Christoph 2 2022 Multiscale elliptic PDE upscaling and function approximation via subsampled data. Zbl 1482.65212 Chen, Yifan; Hou, Thomas Y. 2 2022 Analysis and optimization of certain parallel Monte Carlo methods in the low temperature limit. Zbl 1484.60030 Dupuis, Paul; Wu, Guo-Jhen 2 2022 Computational modeling for high-fidelity coarsening of shallow water equations based on subgrid data. Zbl 1509.76058 Ephrati, Sagy R.; Luesink, Erwin; Wimmer, Golo; Cifani, Paolo; Geurts, Bernard J. 2 2022 Higher order phase averaging for highly oscillatory systems. Zbl 07619150 Bauer, Werner; Cotter, Colin; Wingate, Beth 1 2022 Adaptive solution of initial value problems by a dynamical Galerkin scheme. Zbl 1498.65162 Pereira, Rodrigo M.; Nguyen Van Yen, Natacha; Schneider, Kai; Farge, Marie 1 2022 Wide-band butterfly network: stable and efficient inversion via multi-frequency neural networks. 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Zbl 1470.35299 Xie, Peng; Zhu, Yi 1 2021 ...and 902 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,083 Authors 108 Chung, Tsz Shun Eric 74 Efendiev, Yalchin R. 50 Abdulle, Assyr 43 Garnier, Josselin 43 Lu, Jianfeng 42 Degond, Pierre 41 Jin, Shi 41 Ortner, Christoph 37 Du, Qiang 36 Osher, Stanley Joel 36 Shen, Zuowei 35 Leung, Wingtat 35 Ying, Lexing 34 Ammari, Habib 34 Carrillo de la Plata, José Antonio 33 Peterseim, Daniel 33 Vasilyeva, Maria V. 32 Pareschi, Lorenzo 32 Wheeler, Mary Fanett 32 Wick, Thomas 29 Fu, Shubin 29 Gunzburger, Max D. 29 Hou, Thomas Yizhao 29 Luskin, Mitchell 28 Bal, Guillaume 28 Huang, Ting-Zhu 28 Kevrekidis, Ioannis George 28 Tai, Xuecheng 27 Jiang, Lijian 27 Liu, Jianguo 27 Schütte, Christof 26 Chen, Ke 26 Qian, Jianliang 25 Bao, Weizhu 25 Burger, Martin 25 Cui, Junzhi 25 Herty, Michael Matthias 25 Le Bris, Claude 25 Zeng, Tie Yong 24 Bellomo, Nicola 24 Bressloff, Paul C. 24 Sini, Mourad 23 Dong, Bin 23 Ha, Seung-Yeal 23 Park, Won-Kwang 23 Yang, Haizhao 22 D’Elia, Marta 22 Galvis, Juan 22 Holm, Darryl Dallas 22 Owhadi, Houman 22 Quarteroni, Alfio M. 22 Valentin, Frédéric 22 Wu, Boying 21 Bertozzi, Andrea Louise 21 Bostan, Mihai 21 Cholamjiak, Prasit 21 Henning, Patrick 21 Lawley, Sean D. 21 Pavliotis, Grigorios A. 21 Schönlieb, Carola-Bibiane 21 Zanella, Mattia 20 Borcea, Liliana 20 Combettes, Patrick L. 20 Dimarco, Giacomo 20 Hauck, Cory D. 20 Li, Qin 19 Gander, Martin Jakob 19 Jenny, Patrick 19 Legoll, Frédéric 19 Lipton, Robert P. 19 Liu, Hongyu 19 Mikelić, Andro 19 Schweizer, Ben 19 Shen, Lixin 19 Sølna, Knut 19 Spiliopoulos, Konstantinos V. 19 Stuart, Andrew M. 19 Tian, Xiaochuan 19 Wu, Chunlin 19 Zhang, Xiaoqun 18 Holcman, David 18 Karniadakis, George Em 18 Klawonn, Axel 18 Målqvist, Axel 18 Ohlberger, Mario 18 Samaey, Giovanni 18 Soize, Christian 18 Steidl, Gabriele 18 Trucu, Dumitru 18 Zhang, Lei 18 Zhang, Zhiwen 17 Chambolle, Antonin 17 Chen, Huajie 17 Fadili, Jalal M. 17 Feng, Xiangchu 17 Guo, Zhichang 17 Hajibeygi, Hadi 17 Kang, Hyeonbae 17 Kutz, J. 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