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Multiscale Modeling & Simulation

A 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: 1,195 Publications (since 2003)
References Indexed: 590 Publications with 23,912 References.
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 Ammari, Habib
14 Chung, Tsz Shun Eric
14 Luskin, Mitchell
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 Horenko, Illia
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 Le Bris, Claude
6 Legoll, Frédéric
6 Majda, Andrew J.
6 Massatt, Daniel
6 Ming, Pingbing
6 Negulescu, Claudia
6 Pareschi, Lorenzo
6 Pavliotis, Grigorios A.
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 Dimarco, Giacomo
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 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 Bostan, Mihai
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
...and 1,850 more Authors
all top 5

Fields

592 Numerical analysis (65-XX)
574 Partial differential equations (35-XX)
258 Fluid mechanics (76-XX)
223 Probability theory and stochastic processes (60-XX)
205 Statistical mechanics, structure of matter (82-XX)
190 Mechanics of deformable solids (74-XX)
140 Biology and other natural sciences (92-XX)
93 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)
57 Calculus of variations and optimal control; optimization (49-XX)
48 Quantum theory (81-XX)
37 Operations research, mathematical programming (90-XX)
32 Mechanics of particles and systems (70-XX)
31 Systems theory; control (93-XX)
27 Classical thermodynamics, heat transfer (80-XX)
27 Geophysics (86-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
19 Integral equations (45-XX)
16 Approximations and expansions (41-XX)
16 Operator theory (47-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Combinatorics (05-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)
5 Differential geometry (53-XX)
4 Real functions (26-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

Citations contained in zbMATH Open

1,022 Publications have been cited 14,799 times in 9,883 Documents Cited by Year
Signal recovery by proximal forward-backward splitting. Zbl 1179.94031
Combettes, Patrick L.; Wajs, Valérie R.
720
2005
Nonlocal operators with applications to image processing. Zbl 1181.35006
Gilboa, Guy; Osher, Stanley
450
2008
A review of image denoising algorithms, with a new one. Zbl 1108.94004
Buades, A.; Coll, B.; Morel, J. M.
432
2005
An iterative regularization method for total variation-based image restoration. Zbl 1090.94003
Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao
320
2005
Split Bregman methods and frame based image restoration. Zbl 1189.94014
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
205
2010
A multiscale mortar mixed finite element method. Zbl 1322.76039
Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
159
2007
Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026
Osher, Stanley; Solé, Andrés; Vese, Luminita
159
2003
Nonlocal linear image regularization and supervised segmentation. Zbl 1140.68517
Gilboa, Guy; Osher, Stanley
137
2007
Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042
Galvis, Juan; Efendiev, Yalchin
133
2010
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
128
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
109
2011
Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029
Galvis, Juan; Efendiev, Yalchin
105
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.
104
2004
Deblurring and denoising of images by nonlocal functionals. Zbl 1161.68827
Kindermann, Stefan; Osher, Stanley; Jones, Peter W.
95
2005
A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057
Gunzburger, Max; Lehoucq, R. B.
95
2010
Oversampling for the multiscale finite element method. Zbl 1297.65155
Henning, Patrick; Peterseim, Daniel
95
2013
Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204
Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing
92
2015
Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034
Bao, Weizhu
91
2004
Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Zbl 1160.76372
Jenny, P.; Lee, S. H.; Tchelepi, H. A.
88
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
88
2015
Multiscale stochastic volatility asymptotics. Zbl 1074.91015
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut
84
2004
Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
83
2011
Bayesian numerical homogenization. Zbl 1322.35002
Owhadi, Houman
76
2015
A posteriori control of modeling errors and discretization errors. Zbl 1050.65100
Braack, Malte; Ern, Alexandre
71
2003
Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104
Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen
68
2018
A fast total variation minimization method for image restoration. Zbl 1172.94316
Huang, Yumei; Ng, Michael K.; Wen, You-Wei
66
2008
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.
66
2005
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
63
2005
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
63
2009
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
63
2005
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215
Bertozzi, Andrea L.; Flenner, Arjuna
63
2012
On a priori error analysis of fully discrete heterogeneous multiscale FEM. Zbl 1092.65093
Abdulle, Assyr
63
2005
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.
62
2010
Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235
Luo, Guo; Hou, Thomas Y.
62
2014
The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
61
2007
Strong convergence rate for two-time-scale jump-diffusion stochastic differential systems. Zbl 1144.60038
Givon, Dror
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
Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124
Brouwer, Jens; Gasser, Ingenuin; Herty, Michael
59
2011
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.
57
2008
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
56
2006
Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
56
2014
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
54
2005
Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments. Zbl 1176.35020
van Noorden, T. L.
53
2009
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.
52
2005
Transition path theory for Markov jump processes. Zbl 1185.60086
Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric
52
2009
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
52
2010
Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309
Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan
52
2007
A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125
Candès, Emmanuel; Demanet, Laurent; Ying, Lexing
52
2009
From the microscale to collective crowd dynamics. Zbl 1280.90019
Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian
52
2013
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
High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135
Viet Ha Hoang; Schwab, Christoph
50
2005
A multiscale image representation using hierarchical \((BV,L^2)\) decompositions. Zbl 1146.68472
Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita
50
2004
Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053
Albi, G.; Pareschi, L.
50
2013
Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian
48
2016
Locating multiple multiscale acoustic scatterers. Zbl 1328.35135
Li, Jingzhi; Liu, Hongyu; Zou, Jun
47
2014
Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics. Zbl 1262.60072
Anderson, David F.; Higham, Desmond J.
46
2012
Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140
Owhadi, Houman; Zhang, Lei
46
2011
Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041
Mairal, Julien; Sapiro, Guillermo; Elad, Michael
46
2008
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K.
45
2005
Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040
Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
45
2009
Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113
Efendiev, Y.; Pankov, A.
43
2004
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
41
2008
Capturing small scales in elliptic problems using a residual-free bubbles finite element method. Zbl 1032.65131
Sangalli, Giancarlo
40
2003
An MsFEM type approach for perforated domains. Zbl 1316.35021
Le Bris, Claude; Legoll, Frédéric; Lozinski, Alexei
40
2014
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.
40
2015
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
40
2016
Fast and slow dynamics for the computational singular perturbation method. Zbl 1065.34049
Zagaris, Antonios; Kaper, Hans G.; Kaper, Tasso J.
39
2004
A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207
Mielke, Alexander; Roubíček, Tomáš
39
2003
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.
39
2010
Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521
Kornhuber, Ralf; Yserentant, Harry
39
2016
Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028
Bouchitté, Guy; Schweizer, Ben
38
2010
Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358
Boyaval, Sébastien
38
2008
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
37
2019
A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128
Ohlberger, Mario
35
2005
A Lagrangian particle-wavelet method. Zbl 1122.65085
Bergdorf, Michael; Koumoutsakos, Petros
35
2006
A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342
Nolen, James; Papanicolaou, George; Pironneau, Olivier
34
2008
Bloch-wave homogenization on large time scales and dispersive effective wave equations. Zbl 1320.35043
Dohnal, T.; Lamacz, A.; Schweizer, B.
34
2014
Approximation of polyatomic FPU lattices by KdV equations. Zbl 1317.37100
Gaison, Jeremy; Moskow, Shari; Wright, J. Douglas; Zhang, Qimin
34
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.
34
2017
A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics. Zbl 1236.85006
Godillon-Lafitte, Pauline; Goudon, Thierry
33
2005
An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216
Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia
33
2010
Mixed multiscale finite element methods using limited global information. Zbl 1277.76036
Aarnes, J. E.; Efendiev, Y.; Jiang, L.
33
2008
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
33
2005
Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198
Dimarco, Giacomo; Pareschi, Lorenzo
33
2008
Analysis of explicit tau-leaping schemes for simulating chemically reacting systems. Zbl 1145.92041
Li, Tiejun
33
2007
Finite element heterogeneous multiscale method for the wave equation. Zbl 1298.65145
Abdulle, Assyr; Grote, Marcus J.
33
2011
Adaptive finite element approximations for Kohn-Sham models. Zbl 1316.35260
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui
33
2014
Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337
Abdulle, Assyr; Schwab, Christoph
32
2005
Multilevel adaptive particle methods for convection-diffusion equations. Zbl 1088.76055
Bergdorf, Michael; Cottet, Georges-Henri; Koumoutsakos, Petros
32
2005
Blow-up of solutions to a \(p\)-Laplace equation. Zbl 1261.35137
Gorb, Yuliya; Novikov, Alexei
32
2012
Implicit-explicit variational integration of highly oscillatory problems. Zbl 1185.65227
Stern, Ari; Grinspun, Eitan
32
2009
The TVL1 model: a geometric point of view. Zbl 1187.94010
Duval, Vincent; Aujol, Jean-François; Gousseau, Yann
31
2009
A fourth-order variational image registration model and its fast multigrid algorithm. Zbl 1218.65022
Chumchob, N.; Chen, K.; Brito-Loeza, Carlos
31
2011
Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370
Macnamara, Shev; Burrage, Kevin; Sidje, Roger B.
31
2008
Well modeling in the multiscale finite volume method for subsurface flow simulation. Zbl 1205.76175
Wolfsteiner, Christian; Lee, Seong H.; Tchelepi, Hamdi A.
31
2006
Importance sampling for multiscale diffusions. Zbl 1250.60031
Dupuis, Paul; Spiliopoulos, Konstantinos; Wang, Hui
30
2012
Image decomposition using total variation and \(\text{div}(\text{BMO})\). Zbl 1093.94006
Le, Triet M.; Vese, Luminita A.
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
Butterfly factorization. Zbl 1317.44004
Li, Yingzhou; Yang, Haizhao; Martin, Eileen R.; Ho, Kenneth L.; Ying, Lexing
30
2015
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations. Zbl 1532.65113
Ma, Chupeng; Melenk, J. M.
1
2024
Upscaling an extended heterogeneous Stefan problem from the pore-scale to the Darcy scale in permafrost. Zbl 07844036
Peszynska, Malgorzata; Vohra, Naren; Bigler, Lisa
1
2024
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
10
2023
Exponentially convergent multiscale methods for 2D high frequency heterogeneous Helmholtz equations. Zbl 1518.65127
Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan
3
2023
A framework for a generalization analysis of machine-learned interatomic potentials. Zbl 1526.74005
Ortner, Christoph; Wang, Yangshuai
2
2023
Constraint energy minimizing generalized multiscale finite element method for inhomogeneous boundary value problems with high contrast coefficients. Zbl 1514.65181
Ye, Changqing; Chung, Eric T.
2
2023
Optimal reaction coordinates: variational characterization and sparse computation. Zbl 1529.60035
Bittracher, Andreas; Mollenhauer, Mattes; Koltai, Péter; Schütte, Christof
2
2023
Machine learning moment closure models for the radiative transfer equation. II: Enforcing global hyperbolicity in gradient-based closures. Zbl 1531.65107
Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F.; Yong, Wen-An
2
2023
A neural network approach for homogenization of multiscale problems. Zbl 1518.65129
Han, Jihun; Lee, Yoonsang
2
2023
Edge modes in subwavelength resonators in one dimension. Zbl 1522.35057
Ammari, Habib; Barandun, Silvio; Cao, Jinghao; Feppon, Florian
2
2023
Mathematical models of topologically protected transport in twisted bilayer gaphene. Zbl 1534.82030
Bal, Guillaume; Cazeaux, Paul; Massatt, Daniel; Quinn, Solomon
1
2023
GANs and closures: micro-macro consistency in multiscale modeling. Zbl 07752609
Crabtree, Ellis R.; Bello-Rivas, Juan M.; Ferguson, Andrew L.; Kevrekidis, Ioannis G.
1
2023
Double Dirac cones in band structures of periodic Schrödinger operators. Zbl 1522.35423
Cao, Ying; Zhu, Yi
1
2023
Multiscale numerical schemes for the collisional Vlasov equation in the finite Larmor radius approximation regime. Zbl 1522.65162
Crestetto, Anaïs; Crouseilles, Nicolas; Prel, Damien
1
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
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 1530.35303
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
Heat generation using Lorentzian nanoparticles: estimation via time-domain techniques. Zbl 1530.35295
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
Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. Zbl 1518.65136
Zhao, Lina; Chung, Eric
1
2023
On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in localized orthogonal decomposition spaces. Zbl 1519.35292
Henning, Patrick; Persson, Anna
1
2023
The interaction between two close-to-touching convex acoustic subwavelength resonators. Zbl 1522.35168
Li, Haigang; Zhao, Yan
1
2023
FMM-\(\boldsymbol{\mathsf{LU}}\): a fast direct solver for multiscale boundary integral equations in three dimensions. Zbl 1527.65142
Sushnikova, Daria; Greengard, Leslie; O’Neil, Michael; Rachh, Manas
1
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Extending the regime of linear response with synthetic forcings. Zbl 1527.82044
Spacek, Renato; Stoltz, Gabriel
1
2023
Optimal local approximation spaces for parabolic problems. Zbl 1487.65157
Schleuß, Julia; Smetana, Kathrin
11
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
10
2022
Multi-resolution localized orthogonal decomposition for Helmholtz problems. Zbl 1493.65204
Hauck, Moritz; Peterseim, Daniel
10
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
8
2022
A space-time multiscale method for parabolic problems. Zbl 1493.65158
Ljung, Per; Maier, Roland; Målqvist, Axel
7
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
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
5
2022
Efficiency of micro-macro models for reactive two-mineral systems. Zbl 1507.35177
Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja
5
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
5
2022
QM/MM methods for crystalline defects. III: Machine-learned MM models. Zbl 1514.81006
Chen, Huajie; Ortner, Christoph; Wang, Yangshuai
4
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A diffuse-domain phase-field lattice Boltzmann method for two-phase flows in complex geometries. Zbl 1509.76066
Liu, Xi; Chai, Zhenhua; Zhan, Chengjie; Shi, Baochang; Zhang, Wenhuan
3
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High order topological asymptotics: reconciling layer potentials and compound asymptotic expansions. Zbl 1501.35033
Feppon, Florian; Ammari, Habib
3
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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
3
2022
Nonreciprocal wave propagation in space-time modulated media. Zbl 1505.35095
Ammari, Habib; Cao, Jinghao; Hiltunen, Erik Orvehed
3
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On the random batch method for second order interacting particle systems. Zbl 1505.65003
Jin, Shi; Li, Lei; Sun, Yiqun
3
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The narrow capture problem with partially absorbing targets and stochastic resetting. Zbl 1496.35034
Bressloff, Paul C.; Schumm, Ryan D.
3
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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
3
2022
Hamiltonian Dysthe equation for three-dimensional deep-water gravity waves. Zbl 1490.76037
Guyenne, Philippe; Kairzhan, Adilbek; Sulem, Catherine
3
2022
Upscaling errors in heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1482.65168
Leitenmaier, Lena; Runborg, Olof
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
Multiscale elliptic PDE upscaling and function approximation via subsampled data. Zbl 1482.65212
Chen, Yifan; Hou, Thomas Y.
3
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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
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
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
Analysis and optimization of certain parallel Monte Carlo methods in the low temperature limit. Zbl 1484.60030
Dupuis, Paul; Wu, Guo-Jhen
2
2022
Statistical learning of nonlinear stochastic differential equations from nonstationary time series using variational clustering. Zbl 1506.62359
Boyko, Vyacheslav; Krumscheid, Sebastian; Vercauteren, Nikki
1
2022
Trapping of planar Brownian motion: full first passage time distributions by kinetic Monte Carlo, asymptotic, and boundary integral methods. Zbl 1509.35021
Cherry, Jake; Lindsay, Alan E.; Navarro Hernández, Adrián; Quaife, Bryan
1
2022
Generalized multiscale finite element method for highly heterogeneous compressible flow. Zbl 1506.76074
Fu, Shubin; Chung, Eric; Zhao, Lina
1
2022
Higher order phase averaging for highly oscillatory systems. Zbl 1535.70094
Bauer, Werner; Cotter, Colin; Wingate, Beth
1
2022
Hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles. Zbl 1513.76155
Dahm, Sina; Helzel, Christiane
1
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Wide-band butterfly network: stable and efficient inversion via multi-frequency neural networks. Zbl 1498.65231
Li, Matthew; Demanet, Laurent; Zepeda-Núñez, Leonardo
1
2022
Gradient estimates for electric fields with multiscale inclusions in the quasi-static regime. Zbl 1497.35186
Deng, Youjun; Fang, Xiaoping; Liu, Hongyu
1
2022
An MsFEM approach enriched using Legendre polynomials. Zbl 1496.65224
Legoll, Frédéric; Rothé, Pierre-Loïk; Le Bris, Claude; Hetmaniuk, Ulrich
1
2022
An adaptive planewave method for electronic structure calculations. Zbl 1487.65175
Liu, Beilei; Chen, Huajie; Dusson, Geneviève; Fang, Jun; Gao, Xingyu
1
2022
Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. Zbl 1461.65067
Schäfer, Florian; Sullivan, T. J.; Owhadi, Houman
28
2021
Weak SINDy: Galerkin-based data-driven model selection. Zbl 1512.65163
Messenger, Daniel A.; Bortz, David M.
22
2021
Kernel analog forecasting: multiscale test problems. Zbl 1487.60088
Burov, Dmitry; Giannakis, Dimitrios; Manohar, Krithika; Stuart, Andrew
12
2021
Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation. Zbl 1496.65178
Feng, Yue; Yi, Wenfan
11
2021
Effective coupling conditions for arbitrary flows in Stokes-Darcy systems. Zbl 1470.35280
Eggenweiler, Elissa; Rybak, Iryna
10
2021
Exponential convergence for multiscale linear elliptic PDEs via adaptive edge basis functions. Zbl 1473.65296
Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan
9
2021
Wavelet-based edge multiscale finite element method for Helmholtz problems in perforated domains. Zbl 1478.65124
Fu, Shubin; Li, Guanglian; Craster, Richard; Guenneau, Sebastien
9
2021
Tunable eigenvector-based centralities for multiplex and temporal networks. Zbl 1457.90033
Taylor, Dane; Porter, Mason A.; Mucha, Peter J.
8
2021
Analysis of the acoustic waves reflected by a cluster of small holes in the time-domain and the equivalent mass density. Zbl 1471.35088
Sini, Mourad; Wang, Haibing; Yao, Qingyun
6
2021
Efficient construction of tensor ring representations from sampling. Zbl 1468.65014
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
6
2021
An inverse random source problem for Maxwell’s equations. Zbl 1453.78006
Li, Peijun; Wang, Xu
6
2021
Asymptotic analysis of target fluxes in the three-dimensional narrow capture problem. Zbl 1465.35027
Bressloff, Paul C.
5
2021
Mixed finite element approximation of periodic Hamilton-Jacobi-Bellman problems with application to numerical homogenization. Zbl 1503.65293
Gallistl, Dietmar; Sprekeler, Timo; Süli, Endre
5
2021
Multiflocks: emergent dynamics in systems with multiscale collective behavior. Zbl 1470.92403
Shvydkoy, Roman; Tadmor, Eitan
5
2021
A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. Zbl 1453.82099
Heningburg, Vincent; Hauck, Cory D.
5
2021
Coupling particle-based reaction-diffusion simulations with reservoirs mediated by reaction-diffusion PDEs. Zbl 1480.92096
Kostré, Margarita; Schütte, Christof; Noé, Frank; del Razo, Mauricio J.
5
2021
High contrast elliptic operators in honeycomb structures. Zbl 1481.35291
Cassier, Maxence; Weinstein, Michael I.
5
2021
Approximate optimal controls via instanton expansion for low temperature free energy computation. Zbl 1475.49027
Ferré, Grégoire; Grafke, Tobias
4
2021
Analysis of a Sinclair-type domain decomposition solver for atomistic/continuum coupling. Zbl 1472.65156
Hodapp, Max
4
2021
Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. Zbl 1496.65192
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
4
2021
A low-rank Schwarz method for radiative transfer equation with heterogeneous scattering coefficient. Zbl 1490.65302
Chen, Ke; Li, Qin; Lu, Jianfeng; Wright, Stephen J.
4
2021
An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. Zbl 1470.35128
Capdeboscq, Yves; Griesmaier, Roland; Knöller, Marvin
4
2021
Homogenization of two-phase flow in porous media from pore to Darcy scale: a phase-field approach. Zbl 1462.35045
Metzger, Stefan; Knabner, Peter
4
2021
Variational asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system. Zbl 1467.82071
Carrillo, Jose A.; Wang, Li; Xu, Wuzhe; Yan, Ming
4
2021
Multiscale approach for two-dimensional diffeomorphic image registration. Zbl 1478.94045
Han, Huan; Wang, Zhengping; Zhang, Yimin
4
2021
Singular limit for reactive diffusive transport through an array of thin channels in case of critical diffusivity. Zbl 1481.35033
Gahn, Markus; Neuss-Radu, Maria
4
2021
Multiscale control of generic second order traffic models by driver-assist vehicles. Zbl 1470.35372
Chiarello, Felisia Angela; Piccoli, Benedetto; Tosin, Andrea
3
2021
On near-cloaking for linear elasticity. Zbl 1465.74019
Craster, Richard; Diatta, André; Guenneau, Sébastien; Hutridurga, Harsha
3
2021
Discrete-time inference for slow-fast systems driven by fractional Brownian motion. Zbl 1478.60123
Bourguin, Solesne; Gailus, Siragan; Spiliopoulos, Konstantinos
3
2021
Simulation and optimization of mean first passage time problems in 2-d using numerical embedded methods and perturbation theory. Zbl 1471.65103
Iyaniwura, Sarafa; Wong, Tony; Ward, Michael J.; Macdonald, Colin B.
3
2021
Optimal convergence rates for elliptic homogenization problems in nondivergence-form: analysis and numerical illustrations. Zbl 1475.35030
Sprekeler, Timo; Tran, Hung V.
3
2021
How do degenerate mobilities determine singularity formation in Cahn-Hilliard equations? Zbl 1471.35006
Pesce, Catalina; Muench, Andreas
3
2021
Strain and defects in oblique stripe growth. Zbl 1471.35035
Chen, Kelly; Deiman, Zachary; Goh, Ryan; Jankovic, Sally; Scheel, Arnd
3
2021
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Cited by 12,791 Authors

112 Chung, Tsz Shun Eric
74 Efendiev, Yalchin R.
49 Abdulle, Assyr
45 Degond, Pierre
45 Garnier, Josselin
45 Lu, Jianfeng
43 Jin, Shi
42 Ammari, Habib
42 Ortner, Christoph
38 Du, Qiang
38 Leung, Wingtat
36 Osher, Stanley Joel
36 Shen, Zuowei
36 Ying, Lexing
35 Carrillo de la Plata, José Antonio
35 Pareschi, Lorenzo
35 Peterseim, Daniel
34 Wick, Thomas
33 Vasilyeva, Maria V.
33 Wheeler, Mary Fanett
32 Hou, Thomas Yizhao
32 Kevrekidis, Ioannis George
30 Fu, Shubin
30 Luskin, Mitchell
29 Gunzburger, Max D.
29 Schütte, Christof
29 Tai, Xuecheng
28 Bal, Guillaume
28 Cui, Junzhi
28 Huang, Ting-Zhu
28 Jiang, Lijian
28 Liu, Jianguo
27 Bressloff, Paul C.
27 Chen, Ke
27 Le Bris, Claude
27 Owhadi, Houman
27 Zanella, Mattia
27 Zeng, Tie Yong
26 Bao, Weizhu
26 Burger, Martin
26 Qian, Jianliang
26 Sini, Mourad
25 Ha, Seung-Yeal
25 Herty, Michael Matthias
25 Schönlieb, Carola-Bibiane
24 Galvis, Juan
24 Yang, Haizhao
23 Bellomo, Nicola
23 Cholamjiak, Prasit
23 Dong, Bin
23 Lawley, Sean D.
23 Park, Won-Kwang
23 Quarteroni, Alfio M.
23 Valentin, Frédéric
22 Bertozzi, Andrea Louise
22 D’Elia, Marta
22 Henning, Patrick
22 Holm, Darryl Dallas
22 Wu, Boying
21 Bostan, Mihai
21 Dimarco, Giacomo
21 Hauck, Cory D.
21 Pavliotis, Grigorios A.
21 Zhang, Zhiwen
20 Borcea, Liliana
20 Combettes, Patrick L.
20 Jenny, Patrick
20 Li, Qin
20 Liu, Hongyu
20 Målqvist, Axel
20 Soize, Christian
20 Spiliopoulos, Konstantinos V.
20 Stuart, Andrew M.
20 Zhang, Lei
20 Zhang, Xiaoqun
19 Gander, Martin Jakob
19 Klawonn, Axel
19 Legoll, Frédéric
19 Mikelić, Andro
19 Schweizer, Ben
19 Shen, Lixin
19 Sølna, Knut
19 Tian, Xiaochuan
19 Wu, Chunlin
18 Duan, Jinqiao
18 Feng, Xiangchu
18 Guo, Zhichang
18 Holcman, David
18 Kang, Hyeonbae
18 Karniadakis, George Em
18 Lipton, Robert P.
18 Muntean, Adrian
18 Ohlberger, Mario
18 Pop, Iuliu Sorin
18 Steidl, Gabriele
18 Trucu, Dumitru
18 Xin, Jack X.
18 Yang, Xu
17 Chambolle, Antonin
17 Chen, Huajie
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746 Journal of Computational Physics
379 Multiscale Modeling & Simulation
363 Computer Methods in Applied Mechanics and Engineering
258 Journal of Scientific Computing
223 Journal of Computational and Applied Mathematics
214 SIAM Journal on Scientific Computing
182 Computers & Mathematics with Applications
167 SIAM Journal on Imaging Sciences
152 Journal of Mathematical Imaging and Vision
128 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
115 Applied and Computational Harmonic Analysis
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105 SIAM Journal on Numerical Analysis
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102 Physica D
100 SIAM Journal on Applied Mathematics
98 Mathematical Methods in the Applied Sciences
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30 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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24 Acta Numerica
23 Information Sciences
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23 Journal of Inequalities and Applications
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21 Asymptotic Analysis
21 Communications in Partial Differential Equations
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