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: 1,112 Publications (since 2003) References Indexed: 507 Publications with 20,105 References. all top 5 Latest Issues 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 18 Efendiev, Yalchin R. 17 Garnier, Josselin 15 Schütte, Christof 14 Hou, Thomas Yizhao 14 Sølna, Knut 13 Degond, Pierre 13 Luskin, Mitchell 12 Ammari, Habib M. 12 Ortner, Christoph 11 Abdulle, Assyr 11 Borcea, Liliana 11 Chung, Tsz Shun Eric 11 Lu, Jianfeng 11 Osher, Stanley Joel 10 Jin, Shi 9 Margetis, Dionisios 9 Vanden-Eijnden, Eric 8 Caselles Costa, Vicent 8 Forest, Mark Gregory 8 Jiang, Lijian 8 Kevrekidis, Ioannis George 8 Li, Qin 8 Weinstein, Michael I. 8 Wheeler, Mary Fanett 7 Bal, Guillaume 7 Cao, Liqun 7 Engquist, Bjorn E. 7 Horenko, Illia 7 Lin, Lin 7 Mikelić, Andro 7 Mucha, Peter J. 7 Noé, Frank 7 Papanicolaou, George C. 7 Shapeev, Alexander V. 7 Sini, Mourad 7 Spiliopoulos, Konstantinos V. 6 Bressloff, Paul C. 6 Du, Qiang 6 Holcman, David 6 Le Bris, Claude 6 Legoll, Frédéric 6 Majda, Andrew J. 6 Målqvist, Axel 6 Negulescu, Claudia 6 Peterseim, Daniel 6 Qian, Jianliang 6 Voigt, Axel 6 Weber, Marcus 6 Xin, Jack X. 6 Zhang, Pingwen 5 Caflisch, Russel E. 5 Chen, Huajie 5 Chen, Jingrun 5 Fackeldey, Konstantin 5 Fouque, Jean-Pierre 5 Galvis, Juan 5 Gunzburger, Max D. 5 Higham, Desmond J. 5 Li, Guanglian 5 Ming, Pingbing 5 Movchan, Alexander B. 5 Najm, Habib N. 5 Ortiz, Michael 5 Owhadi, Houman 5 Pavliotis, Grigorios A. 5 Salloum, Maher 5 Sargsyan, Khachik V. 5 Shen, Zuowei 5 Stuart, Andrew M. 5 Taylor, Dane 5 Tsai, Yen-Hsi Richard 5 Ward, Michael J. 5 Yang, Haizhao 5 Zhang, Lei 5 Zhang, Zhiwen 4 Aarnes, Jørg E. 4 Aristoff, David 4 Aujol, Jean-François 4 Bao, Weizhu 4 Brown, Donald L. 4 Burger, Martin 4 Burridge, Robert 4 Carrillo de la Plata, José Antonio 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 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. ...and 1,738 more Authors all top 5 Fields 555 Numerical analysis (65-XX) 526 Partial differential equations (35-XX) 247 Fluid mechanics (76-XX) 211 Probability theory and stochastic processes (60-XX) 187 Statistical mechanics, structure of matter (82-XX) 171 Mechanics of deformable solids (74-XX) 133 Biology and other natural sciences (92-XX) 84 Optics, electromagnetic theory (78-XX) 75 Statistics (62-XX) 69 Ordinary differential equations (34-XX) 64 Computer science (68-XX) 58 Dynamical systems and ergodic theory (37-XX) 58 Information and communication theory, circuits (94-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 42 Quantum theory (81-XX) 35 Operations research, mathematical programming (90-XX) 32 Mechanics of particles and systems (70-XX) 30 Systems theory; control (93-XX) 26 Geophysics (86-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Classical thermodynamics, heat transfer (80-XX) 17 Integral equations (45-XX) 16 Approximations and expansions (41-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) 13 Operator theory (47-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 931 Publications have been cited 11,859 times in 7,955 Documents Cited by ▼ Year ▼ Signal recovery by proximal forward-backward splitting. Zbl 1179.94031Combettes, Patrick L.; Wajs, Valérie R. 605 2005 A review of image denoising algorithms, with a new one. Zbl 1108.94004Buades, A.; Coll, B.; Morel, J. M. 395 2005 Nonlocal operators with applications to image processing. Zbl 1181.35006Gilboa, Guy; Osher, Stanley 355 2008 An iterative regularization method for total variation-based image restoration. Zbl 1090.94003Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao 286 2005 Split Bregman methods and frame based image restoration. Zbl 1189.94014Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei 183 2010 A multiscale mortar mixed finite element method. Zbl 1322.76039Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan 134 2007 Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026Osher, Stanley; Solé, Andrés; Vese, Luminita 132 2003 Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042Galvis, Juan; Efendiev, Yalchin 111 2010 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 110 2006 Nonlocal linear image regularization and supervised segmentation. Zbl 1140.68517Gilboa, Guy; Osher, Stanley 109 2007 Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234Engquist, Björn; Ying, Lexing 106 2011 Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029Galvis, Juan; Efendiev, Yalchin 94 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. 90 2004 Deblurring and denoising of images by nonlocal functionals. Zbl 1161.68827Kindermann, Stefan; Osher, Stanley; Jones, Peter W. 85 2005 Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034Bao, Weizhu 78 2004 Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195Babuska, Ivo; Lipton, Robert 77 2011 Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing 76 2015 Multiscale stochastic volatility asymptotics. Zbl 1074.91015Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut 74 2004 Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Zbl 1160.76372Jenny, P.; Lee, S. H.; Tchelepi, H. A. 71 2004 Oversampling for the multiscale finite element method. Zbl 1297.65155Henning, Patrick; Peterseim, Daniel 70 2013 A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. Zbl 1317.74028Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas 69 2015 A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057Gunzburger, Max; Lehoucq, R. B. 68 2010 Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea 67 2011 A posteriori control of modeling errors and discretization errors. Zbl 1050.65100Braack, Malte; Ern, Alexandre 65 2003 On a priori error analysis of fully discrete heterogeneous multiscale FEM. Zbl 1092.65093Abdulle, Assyr 60 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. 57 2005 Bayesian numerical homogenization. Zbl 1322.35002Owhadi, Houman 57 2015 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 56 2005 A fast total variation minimization method for image restoration. Zbl 1172.94316Huang, Yumei; Ng, Michael K.; Wen, You-Wei 55 2008 The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo 52 2007 A multiscale finite element method for numerical homogenization. Zbl 1093.35007Allaire, Grégoire; Brizzi, Robert 52 2005 From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205Erban, Radek; Othmer, Hans G. 50 2005 Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215Bertozzi, Andrea L.; Flenner, Arjuna 50 2012 Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124Brouwer, Jens; Gasser, Ingenuin; Herty, Michael 50 2011 Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares. Zbl 1091.94007Nikolova, Mila 50 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 49 2006 Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat 48 2014 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 48 2005 Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Zbl 1060.35003Quarteroni, Alfio; Veneziani, Alessandro 45 2003 Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235Luo, Guo; Hou, Thomas Y. 45 2014 Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments. Zbl 1176.35020van Noorden, T. L. 45 2009 Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan 44 2007 From the microscale to collective crowd dynamics. Zbl 1280.90019Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 44 2013 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 44 2009 A multiscale image representation using hierarchical \((BV,L^2)\) decompositions. Zbl 1146.68472Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita 44 2004 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. 43 2010 Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian 42 2016 High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135Viet Ha Hoang; Schwab, Christoph 42 2005 Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics. Zbl 1262.60072Anderson, David F.; Higham, Desmond J. 42 2012 A multiple scale model for tumor growth. Zbl 1107.92019Alarcón, T.; Byrne, H. M.; Maini, P. K. 41 2005 Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041Mairal, Julien; Sapiro, Guillermo; Elad, Michael 41 2008 Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen 41 2018 Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053Albi, G.; Pareschi, L. 40 2013 Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140Owhadi, Houman; Zhang, Lei 40 2011 A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125Candès, Emmanuel; Demanet, Laurent; Ying, Lexing 40 2009 Strong convergence rate for two-time-scale jump-diffusion stochastic differential systems. Zbl 1144.60038Givon, Dror 40 2007 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 37 2008 Locating multiple multiscale acoustic scatterers. Zbl 1328.35135Li, Jingzhi; Liu, Hongyu; Zou, Jun 37 2014 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. 37 2008 Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113Efendiev, Y.; Pankov, A. 36 2004 Capturing small scales in elliptic problems using a residual-free bubbles finite element method. Zbl 1032.65131Sangalli, Giancarlo 36 2003 Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael 35 2009 A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207Mielke, Alexander; Roubíček, Tomáš 35 2003 Fast and slow dynamics for the computational singular perturbation method. Zbl 1065.34049Zagaris, Antonios; Kaper, Hans G.; Kaper, Tasso J. 35 2004 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. 34 2015 Transition path theory for Markov jump processes. Zbl 1185.60086Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric 34 2009 A Lagrangian particle-wavelet method. Zbl 1122.65085Bergdorf, Michael; Koumoutsakos, Petros 33 2006 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 33 2010 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. 32 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 32 2016 Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358Boyaval, Sébastien 32 2008 Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521Kornhuber, Ralf; Yserentant, Harry 31 2016 Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. 30 2008 A fourth-order variational image registration model and its fast multigrid algorithm. Zbl 1218.65022Chumchob, N.; Chen, K.; Brito-Loeza, Carlos 30 2011 An MsFEM type approach for perforated domains. Zbl 1316.35021Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei 30 2014 Implicit-explicit variational integration of highly oscillatory problems. Zbl 1185.65227Stern, Ari; Grinspun, Eitan 30 2009 Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028Bouchitté, Guy; Schweizer, Ben 30 2010 Multilevel adaptive particle methods for convection-diffusion equations. Zbl 1088.76055Bergdorf, Michael; Cottet, Georges-Henri; Koumoutsakos, Petros 30 2005 Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337Abdulle, Assyr; Schwab, Christoph 29 2005 Well modeling in the multiscale finite volume method for subsurface flow simulation. Zbl 1205.76175Wolfsteiner, Christian; Lee, Seong H.; Tchelepi, Hamdi A. 29 2006 A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342Nolen, James; Papanicolaou, George; Pironneau, Olivier 29 2008 Analysis of explicit tau-leaping schemes for simulating chemically reacting systems. Zbl 1145.92041Li, Tiejun 29 2007 Multiscale two-dimensional modeling of a motile simple-shaped cell. Zbl 1068.92005Rubinstein, B.; Jacobson, K.; Mogilner, A. 28 2005 Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198Dimarco, Giacomo; Pareschi, Lorenzo 28 2008 Bloch-wave homogenization on large time scales and dispersive effective wave equations. Zbl 1320.35043Dohnal, T.; Lamacz, A.; Schweizer, B. 28 2014 Finite element heterogeneous multiscale method for the wave equation. Zbl 1298.65145Abdulle, Assyr; Grote, Marcus J. 28 2011 A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128Ohlberger, Mario 28 2005 Two-dimensional bulk microflow simulations based on regularized grad’s 13-moment equations. Zbl 1388.76340Torrilhon, Manuel 27 2006 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347Joly, Patrick; Tordeux, Sébastien 27 2006 An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia 27 2010 Existence of global weak solutions to some regularized kinetic models for dilute polymers. Zbl 1228.76004Barrett, John W.; Süli, Endre 27 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 27 2005 Image decomposition using total variation and \(\text{div}(\text{BMO})\). Zbl 1093.94006Le, Triet M.; Vese, Luminita A. 27 2005 Blow-up of solutions to a \(p\)-Laplace equation. Zbl 1261.35137Gorb, Yuliya; Novikov, Alexei 26 2012 Finite element heterogeneous multiscale method for the wave equation: long-time effects. Zbl 1315.65084Abdulle, Assyr; Grote, Marcus J.; Stohrer, Christian 26 2014 Quaternions in collective dynamics. Zbl 1382.35310Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane 26 2018 The TVL1 model: a geometric point of view. Zbl 1187.94010Duval, Vincent; Aujol, Jean-François; Gousseau, Yann 26 2009 The total variation regularized \(L^1\) model for multiscale decomposition. Zbl 1355.49037Yin, Wotao; Goldfarb, Donald; Osher, Stanley 26 2007 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 An analytical framework for the numerical homogenization of monotone elliptic operators and quasiconvex energies. Zbl 1119.74038Gloria, Antoine 25 2006 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 3 2022 Multi-resolution localized orthogonal decomposition for Helmholtz problems. Zbl 1493.65204Hauck, Moritz; Peterseim, Daniel 2 2022 A semi-Lagrangian computation of front speeds of G-equation in ABC and Kolmogorov flows with estimation via ballistic orbits. Zbl 1482.76064Kao, Chou; Liu, Yu-Yu; Xin, Jack 2 2022 Hamiltonian Dysthe equation for three-dimensional deep-water gravity waves. Zbl 1490.76037Guyenne, Philippe; Kairzhan, Adilbek; Sulem, Catherine 2 2022 Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials. Zbl 1498.35458Bao, Weizhu; Feng, Yue; Yin, Jia 1 2022 Manifold learning and nonlinear homogenization. Zbl 1498.65218Chen, Shi; Li, Qin; Lu, Jianfeng; Wright, Stephen J. 1 2022 Upscaling errors in heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1482.65168Leitenmaier, Lena; Runborg, Olof 1 2022 Analysis and optimization of certain parallel Monte Carlo methods in the low temperature limit. Zbl 1484.60030Dupuis, Paul; Wu, Guo-Jhen 1 2022 Approximative policy iteration for exit time feedback control problems driven by stochastic differential equations using tensor train format. Zbl 1492.93196Fackeldey, Konstantin; Oster, Mathias; Sallandt, Leon; Schneider, Reinhold 1 2022 Efficiency of micro-macro models for reactive two-mineral systems. Zbl 07540472Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja 1 2022 Enriched nonconforming multiscale finite element method for Stokes flows in heterogeneous media based on high-order weighting functions. Zbl 1487.65179Feng, Qingqing; Allaire, Gregoire; Omnes, Pascal 1 2022 Multiscale invariants of Floquet topological insulators. Zbl 1487.35337Bal, Guillaume; Massatt, Daniel 1 2022 Optimal local approximation spaces for parabolic problems. Zbl 1487.65157Schleuß, Julia; Smetana, Kathrin 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 8 2021 Weak SINDy: Galerkin-based data-driven model selection. Zbl 07411447Messenger, Daniel A.; Bortz, David M. 6 2021 A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. Zbl 1453.82099Heningburg, Vincent; Hauck, Cory D. 5 2021 Exponential convergence for multiscale linear elliptic PDEs via adaptive edge basis functions. Zbl 1473.65296Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan 5 2021 Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation. Zbl 1496.65178Feng, Yue; Yi, Wenfan 5 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 4 2021 An inverse random source problem for Maxwell’s equations. Zbl 1453.78006Li, Peijun; Wang, Xu 4 2021 Mixed finite element approximation of periodic Hamilton-Jacobi-Bellman problems with application to numerical homogenization. Zbl 07382143Gallistl, Dietmar; Sprekeler, Timo; Süli, Endre 4 2021 Homogenization of two-phase flow in porous media from pore to Darcy scale: a phase-field approach. Zbl 1462.35045Metzger, Stefan; Knabner, Peter 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 High contrast elliptic operators in honeycomb structures. Zbl 1481.35291Cassier, Maxence; Weinstein, Michael I. 3 2021 Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. Zbl 1496.65192Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen 3 2021 Hierarchical model reduction techniques for flow modeling in a parametrized setting. Zbl 1468.65209Zancanaro, Matteo; Ballarin, Francesco; Perotto, Simona; Rozza, Gianluigi 2 2021 Asymptotic analysis of target fluxes in the three-dimensional narrow capture problem. Zbl 1465.35027Bressloff, Paul C. 2 2021 Tunable eigenvector-based centralities for multiplex and temporal networks. Zbl 1457.90033Taylor, Dane; Porter, Mason A.; Mucha, Peter J. 2 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 2 2021 Kernel analog forecasting: multiscale test problems. Zbl 1487.60088Burov, Dmitry; Giannakis, Dimitrios; Manohar, Krithika; Stuart, Andrew 2 2021 Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density. Zbl 1471.35088Sini, Mourad; Wang, Haibing; Yao, Qingyun 2 2021 Discrete-time inference for slow-fast systems driven by fractional Brownian motion. Zbl 1478.60123Bourguin, Solesne; Gailus, Siragan; Spiliopoulos, Konstantinos 2 2021 On continuum approximations of discrete-state Markov processes of large system size. Zbl 1465.60068Lunz, Davin 1 2021 Derivation and closure of Baer and Nunziato type multiphase models by averaging a simple stochastic model. Zbl 1457.76176Perrier, Vincent; Gutiérrez, Enrique 1 2021 Multiscale global sensitivity analysis for stochastic chemical systems. Zbl 07331789Merritt, Michael; Alexanderian, Alen; Gremaud, Pierre A. 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 Mathematical proof of the Mandel-Cryer effect in poroelasticity. Zbl 1464.35344van Duijn, Cornelis J.; Mikelic, Andro 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 A modified split Bregman algorithm for computing microstructures through Young measures. Zbl 1466.49013Jaramillo, Gabriela; Venkataramani, Shankar C. 1 2021 Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential. Zbl 1470.35299Xie, Peng; Zhu, Yi 1 2021 Multiscale approach for two-dimensional diffeomorphic image registration. Zbl 1478.94045Han, Huan; Wang, Zhengping; Zhang, Yimin 1 2021 Coupling particle-based reaction-diffusion simulations with reservoirs mediated by reaction-diffusion PDEs. Zbl 1480.92096Kostré, Margarita; Schütte, Christof; Noé, Frank; del Razo, Mauricio J. 1 2021 Explicit and energy-conserving constraint energy minimizing generalized multiscale discontinuous Galerkin method for wave propagation in heterogeneous media. 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Zbl 1454.76064Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 25 2019 ...and 831 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,411 Authors 97 Chung, Tsz Shun Eric 68 Efendiev, Yalchin R. 46 Abdulle, Assyr 41 Jin, Shi 39 Degond, Pierre 39 Garnier, Josselin 38 Lu, Jianfeng 36 Shen, Zuowei 33 Ammari, Habib M. 33 Osher, Stanley Joel 32 Carrillo de la Plata, José Antonio 31 Leung, Wingtat 31 Ortner, Christoph 31 Ying, Lexing 30 Du, Qiang 30 Vasilyeva, Maria V. 30 Wheeler, Mary Fanett 30 Wick, Thomas 28 Chen, Ke 28 Peterseim, Daniel 27 Pareschi, Lorenzo 27 Tai, Xuecheng 24 Bao, Weizhu 24 Fu, Shubin 24 Hou, Thomas Yizhao 24 Huang, Ting-Zhu 23 Bellomo, Nicola 23 Burger, Martin 23 Dong, Bin 23 Park, Won-Kwang 23 Qian, Jianliang 23 Schütte, Christof 22 Bal, Guillaume 22 Gunzburger, Max D. 22 Ha, Seung-Yeal 22 Jiang, Lijian 22 Kevrekidis, Ioannis George 22 Le Bris, Claude 22 Liu, Jianguo 21 Bostan, Mihai 21 Cui, Junzhi 20 Bertozzi, Andrea Louise 20 Galvis, Juan 20 Luskin, Mitchell 20 Owhadi, Houman 20 Quarteroni, Alfio M. 20 Valentin, Frédéric 20 Wu, Boying 20 Zeng, Tie Yong 19 Henning, Patrick 19 Pavliotis, Grigorios A. 19 Schweizer, Ben 19 Shen, Lixin 19 Sini, Mourad 19 Yang, Haizhao 19 Zanella, Mattia 19 Zhang, Xiaoqun 18 Combettes, Patrick L. 18 Dimarco, Giacomo 18 Gander, Martin Jakob 18 Herty, Michael Matthias 18 Jenny, Patrick 18 Steidl, Gabriele 18 Trucu, Dumitru 17 Borcea, Liliana 17 Bressloff, Paul C. 17 Chambolle, Antonin 17 Cholamjiak, Prasit 17 Hauck, Cory D. 17 Holm, Darryl Dallas 17 Kang, Hyeonbae 17 Karniadakis, George Em 17 Lawley, Sean D. 17 Peyré, Gabriel 17 Schönlieb, Carola-Bibiane 17 Sølna, Knut 17 Spiliopoulos, Konstantinos V. 17 Stuart, Andrew M. 17 Wu, Chunlin 16 Hajibeygi, Hadi 16 Holcman, David 16 Li, Qin 16 Lin, Guang 16 Mikelić, Andro 16 Ohlberger, Mario 16 Samaey, Giovanni 16 Soize, Christian 16 Süli, Endre E. 16 Zhang, Zhiwen 15 Aujol, Jean-François 15 Cai, Jian-Feng 15 Feng, Xiangchu 15 Grohs, Philipp 15 Klawonn, Axel 15 Legoll, Frédéric 15 Lipton, Robert P. 15 Muntean, Adrian 15 Tosin, Andrea 15 Xin, Jack X. 15 Yang, Xu ...and 10,311 more Authors all top 5 Cited in 554 Journals 611 Journal of Computational Physics 308 Multiscale Modeling & Simulation 290 Computer Methods in Applied Mechanics and Engineering 216 Journal of Scientific Computing 193 Journal of Computational and Applied Mathematics 177 SIAM Journal on Scientific Computing 151 Computers & Mathematics with Applications 145 SIAM Journal on Imaging Sciences 142 Journal of Mathematical Imaging and Vision 140 M\(^3\)AS. 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