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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: Indexed cover-to-cover
Documents Indexed: 1,039 Publications (since 2003)
References Indexed: 434 Publications with 16,970 References.
all top 5

Authors

21 Ying, Lexing
17 Efendiev, Yalchin R.
17 Garnier, Josselin
14 Schütte, Christof
14 Sølna, Knut
13 Degond, Pierre
13 Hou, Thomas Yizhao
13 Luskin, Mitchell
12 Ortner, Christoph
11 Abdulle, Assyr
11 Borcea, Liliana
11 Osher, Stanley Joel
10 Ammari, Habib M.
10 Lu, Jianfeng
9 Jin, Shi
9 Margetis, Dionisios
9 Vanden-Eijnden, Eric
8 Caselles Costa, Vicent
8 Chung, Tsz Shun Eric
8 Kevrekidis, Ioannis George
8 Wheeler, Mary Fanett
7 Engquist, Bjorn E.
7 Forest, M. Gregory
7 Horenko, Illia
7 Jiang, Lijian
7 Li, Qin
7 Lin, Lin
7 Mikelić, Andro
7 Papanicolaou, George C.
7 Shapeev, Alexander V.
7 Weinstein, Michael I.
6 Bal, Guillaume
6 Cao, Liqun
6 Du, Qiang
6 Holcman, David
6 Majda, Andrew J.
6 Negulescu, Claudia
6 Noé, Frank
6 Qian, Jianliang
6 Sini, Mourad
6 Spiliopoulos, Konstantinos V.
6 Voigt, Axel
6 Weber, Marcus
6 Zhang, Pingwen
5 Bressloff, Paul C.
5 Caflisch, Russel E.
5 Fouque, Jean-Pierre
5 Galvis, Juan
5 Gunzburger, Max D.
5 Higham, Desmond J.
5 Le Bris, Claude
5 Legoll, Frédéric
5 Målqvist, Axel
5 Ming, Pingbing
5 Movchan, Alexander B.
5 Mucha, Peter J.
5 Najm, Habib N.
5 Ortiz, Michael
5 Owhadi, Houman
5 Pavliotis, Grigorios A.
5 Peterseim, Daniel
5 Salloum, Maher
5 Sargsyan, Khachik V.
5 Shen, Zuowei
5 Stuart, Andrew M.
5 Tsai, Yen-Hsi Richard
5 Xin, Jack X.
5 Yang, Haizhao
5 Zhang, Zhiwen
4 Aarnes, Jørg E.
4 Aristoff, David
4 Aujol, Jean-François
4 Brown, Donald L.
4 Burridge, Robert
4 Carrillo de la Plata, José Antonio
4 Chen, Huajie
4 Chen, Jingrun
4 Chen, Ke
4 Cushman, John H.
4 Dagan, Gedeon
4 Damle, Anil
4 Debusschere, Bert J.
4 Deluzet, Fabrice
4 Dimarco, Giacomo
4 Fackeldey, Konstantin
4 Fiori, Aldo
4 Friesecke, Gero
4 Ho, Kenneth L.
4 Jankovic, Igor
4 Kang, Hyeonbae
4 Kutz, J. Nathan
4 Lawley, Sean D.
4 Lehoucq, Richard B.
4 Li, Guanglian
4 Li, Tiejun
4 Li, Xiantao
4 Lipton, Robert P.
4 Lötstedt, Per
4 Lu, Wangtao
4 Méhats, Florian
...and 1,599 more Authors
all top 5

Fields

513 Numerical analysis (65-XX)
487 Partial differential equations (35-XX)
234 Fluid mechanics (76-XX)
199 Probability theory and stochastic processes (60-XX)
180 Statistical mechanics, structure of matter (82-XX)
166 Mechanics of deformable solids (74-XX)
128 Biology and other natural sciences (92-XX)
78 Optics, electromagnetic theory (78-XX)
71 Statistics (62-XX)
66 Ordinary differential equations (34-XX)
59 Computer science (68-XX)
58 Dynamical systems and ergodic theory (37-XX)
56 Information and communication theory, circuits (94-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
40 Quantum theory (81-XX)
33 Operations research, mathematical programming (90-XX)
29 Mechanics of particles and systems (70-XX)
29 Systems theory; control (93-XX)
26 Geophysics (86-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
22 Classical thermodynamics, heat transfer (80-XX)
16 Integral equations (45-XX)
15 Approximations and expansions (41-XX)
14 Operator theory (47-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Combinatorics (05-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Potential theory (31-XX)
5 Astronomy and astrophysics (85-XX)
4 Real functions (26-XX)
4 Functional analysis (46-XX)
4 Differential geometry (53-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Integral transforms, operational calculus (44-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
1 Difference and functional equations (39-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

830 Publications have been cited 9,576 times in 6,506 Documents Cited by Year
Signal recovery by proximal forward-backward splitting. Zbl 1179.94031
Combettes, Patrick L.; Wajs, Valérie R.
489
2005
A review of image denoising algorithms, with a new one. Zbl 1108.94004
Buades, A.; Coll, B.; Morel, J. M.
310
2005
Nonlocal operators with applications to image processing. Zbl 1181.35006
Gilboa, Guy; Osher, Stanley
286
2008
An iterative regularization method for total variation-based image restoration. Zbl 1090.94003
Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao
254
2005
Split Bregman methods and frame based image restoration. Zbl 1189.94014
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
162
2010
Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026
Osher, Stanley; Solé, Andrés; Vese, Luminita
111
2003
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
105
2006
A multiscale mortar mixed finite element method. Zbl 1322.76039
Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
105
2007
Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042
Galvis, Juan; Efendiev, Yalchin
97
2010
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
90
2011
Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029
Galvis, Juan; Efendiev, Yalchin
82
2010
Nonlocal linear image regularization and supervised segmentation. Zbl 1140.68517
Gilboa, Guy; Osher, Stanley
82
2007
On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation. Zbl 1181.76125
Aarnes, Jørg E.
77
2004
Ground states and dynamics of multicomponent Bose-Einstein condensates. Zbl 1062.82034
Bao, Weizhu
73
2004
Deblurring and denoising of images by nonlocal functionals. Zbl 1161.68827
Kindermann, Stefan; Osher, Stanley; Jones, Peter W.
71
2005
Multiscale stochastic volatility asymptotics. Zbl 1074.91015
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut
63
2004
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
60
2011
Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Zbl 1160.76372
Jenny, P.; Lee, S. H.; Tchelepi, H. A.
59
2004
Multiscale modeling of granular flows with application to crowd dynamics. Zbl 1221.35232
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea
58
2011
A posteriori control of modeling errors and discretization errors. Zbl 1050.65100
Braack, Malte; Ern, Alexandre
57
2003
On a priori error analysis of fully discrete heterogeneous multiscale FEM. Zbl 1092.65093
Abdulle, Assyr
54
2005
A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057
Gunzburger, Max; Lehoucq, R. B.
54
2010
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
52
2015
Oversampling for the multiscale finite element method. Zbl 1297.65155
Henning, Patrick; Peterseim, Daniel
52
2013
Extinction times for birth-death processes: Exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation. Zbl 1072.60092
Doering, Charles R.; Sargsyan, Khachik V.; Sander, Leonard M.
51
2005
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
48
2005
A fast total variation minimization method for image restoration. Zbl 1172.94316
Huang, Yumei; Ng, Michael K.; Wen, You-Wei
47
2008
From signal transduction to spatial pattern formation in E. coli: A paradigm for multiscale modeling in biology. Zbl 1073.35205
Erban, Radek; Othmer, Hans G.
44
2005
A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Zbl 1124.76022
Aarnes, Jørg E.; Krogstad, Stein; Lie, Knut-Andreas
44
2006
A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency. Zbl 1075.35101
Ammari, Habib; Iakovleva, Ekaterina; Lesselier, Dominique
43
2005
Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204
Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing
42
2015
The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
42
2007
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
41
2005
Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares. Zbl 1091.94007
Nikolova, Mila
41
2005
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
41
2009
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K.
39
2005
An asymptotic analysis of the mean first passage time for narrow escape problems. I: Two-dimensional domains. Zbl 1203.35023
Pillay, S.; Ward, M. J.; Peirce, A.; Kolokolnikov, T.
39
2010
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215
Bertozzi, Andrea L.; Flenner, Arjuna
39
2012
Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. Zbl 1060.35003
Quarteroni, Alfio; Veneziani, Alessandro
39
2003
Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124
Brouwer, Jens; Gasser, Ingenuin; Herty, Michael
38
2011
A multiscale image representation using hierarchical \((BV,L^2)\) decompositions. Zbl 1146.68472
Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita
37
2004
High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135
Viet Ha Hoang; Schwab, Christoph
37
2005
Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics. Zbl 1262.60072
Anderson, David F.; Higham, Desmond J.
36
2012
Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian
35
2016
Capturing small scales in elliptic problems using a residual-free bubbles finite element method. Zbl 1032.65131
Sangalli, Giancarlo
35
2003
Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235
Luo, Guo; Hou, Thomas Y.
34
2014
From the microscale to collective crowd dynamics. Zbl 1280.90019
Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian
33
2013
A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125
Candès, Emmanuel; Demanet, Laurent; Ying, Lexing
33
2009
A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207
Mielke, Alexander; Roubíček, Tomáš
33
2003
Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140
Owhadi, Houman; Zhang, Lei
33
2011
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
33
2008
Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309
Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan
33
2007
Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041
Mairal, Julien; Sapiro, Guillermo; Elad, Michael
32
2008
Bayesian numerical homogenization. Zbl 1322.35002
Owhadi, Houman
31
2015
Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113
Efendiev, Y.; Pankov, A.
31
2004
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
31
2010
Locating multiple multiscale acoustic scatterers. Zbl 1328.35135
Li, Jingzhi; Liu, Hongyu; Zou, Jun
30
2014
A BDDC algorithm with enriched coarse spaces for two-dimensional elliptic problems with oscillatory and high contrast coefficients. Zbl 1317.65090
Kim, Hyea Hyun; Chung, Eric T.
29
2015
Strong convergence rate for two-time-scale jump-diffusion stochastic differential systems. Zbl 1144.60038
Givon, Dror
29
2007
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.
28
2008
Fast and slow dynamics for the computational singular perturbation method. Zbl 1065.34049
Zagaris, Antonios; Kaper, Hans G.; Kaper, Tasso J.
28
2004
Multilevel adaptive particle methods for convection-diffusion equations. Zbl 1088.76055
Bergdorf, Michael; Cottet, Georges-Henri; Koumoutsakos, Petros
28
2005
Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337
Abdulle, Assyr; Schwab, Christoph
28
2005
Multiscale two-dimensional modeling of a motile simple-shaped cell. Zbl 1068.92005
Rubinstein, B.; Jacobson, K.; Mogilner, A.
28
2005
Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040
Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
28
2009
Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
28
2014
A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128
Ohlberger, Mario
27
2005
Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187
Tao, Molei; Owhadi, Houman; Marsden, Jerrold E.
27
2010
Well modeling in the multiscale finite volume method for subsurface flow simulation. Zbl 1205.76175
Wolfsteiner, Christian; Lee, Seong H.; Tchelepi, Hamdi A.
27
2006
A Lagrangian particle-wavelet method. Zbl 1122.65085
Bergdorf, Michael; Koumoutsakos, Petros
27
2006
Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments. Zbl 1176.35020
van Noorden, T. L.
27
2009
A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342
Nolen, James; Papanicolaou, George; Pironneau, Olivier
27
2008
Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358
Boyaval, Sébastien
27
2008
Analysis of explicit tau-leaping schemes for simulating chemically reacting systems. Zbl 1145.92041
Li, Tiejun
27
2007
Finite element heterogeneous multiscale method for the wave equation. Zbl 1298.65145
Abdulle, Assyr; Grote, Marcus J.
26
2011
An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216
Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia
26
2010
Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370
Macnamara, Shev; Burrage, Kevin; Sidje, Roger B.
26
2008
A fourth-order variational image registration model and its fast multigrid algorithm. Zbl 1218.65022
Chumchob, N.; Chen, K.; Brito-Loeza, Carlos
25
2011
Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028
Bouchitté, Guy; Schweizer, Ben
25
2010
An analytical framework for the numerical homogenization of monotone elliptic operators and quasiconvex energies. Zbl 1119.74038
Gloria, Antoine
25
2006
Bandelet image approximation and compression. Zbl 1091.94006
Le Pennec, E.; Mallat, S.
24
2005
Gyrokinetic Vlasov equation in three dimensional setting. Second order approximation. Zbl 1220.35176
Bostan, Mihai
24
2010
Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104
Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen
24
2018
Transition path theory for Markov jump processes. Zbl 1185.60086
Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric
24
2009
Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198
Dimarco, Giacomo; Pareschi, Lorenzo
24
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
23
2005
Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053
Albi, G.; Pareschi, L.
23
2013
Analysis of a one-dimensional nonlocal quasi-continuum method. Zbl 1177.74169
Ming, Pingbing; Yang, Jerry Zhijian
23
2009
An operator formulation of the multiscale finite-volume method with correction function. Zbl 1404.65222
Lunati, Ivan; Lee, Seong H.
23
2009
Existence of global weak solutions to some regularized kinetic models for dilute polymers. Zbl 1228.76004
Barrett, John W.; Süli, Endre
23
2007
FENE dumbbell model and its several linear and nonlinear closure approximations. Zbl 1108.76006
Du, Qiang; Liu, Chun; Yu, Peng
22
2005
Consistency and stability of tau-leaping schemes for chemical reaction systems. Zbl 1089.60516
Rathinam, Muruhan; Petzold, Linda R.; Cao, Yang; Gillespie, Daniel T.
22
2005
Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521
Kornhuber, Ralf; Yserentant, Harry
22
2016
Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347
Joly, Patrick; Tordeux, Sébastien
22
2006
Two-dimensional bulk microflow simulations based on regularized grad’s 13-moment equations. Zbl 1388.76340
Torrilhon, Manuel
22
2006
Importance sampling for multiscale diffusions. Zbl 1250.60031
Dupuis, Paul; Spiliopoulos, Konstantinos; Wang, Hui
22
2012
Finite element heterogeneous multiscale method for the wave equation: long-time effects. Zbl 1315.65084
Abdulle, Assyr; Grote, Marcus J.; Stohrer, Christian
22
2014
Escape from subcellular domains with randomly switching boundaries. Zbl 1329.82092
Bressloff, Paul C.; Lawley, Sean D.
22
2015
Mountain waves and Gaussian beams. Zbl 1149.41014
Tanushev, Nicolay M.; Qian, Jianliang; Ralston, James V.
22
2007
Mixed multiscale finite element methods using limited global information. Zbl 1277.76036
Aarnes, J. E.; Efendiev, Y.; Jiang, L.
21
2008
A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. Zbl 1453.82099
Heningburg, Vincent; Hauck, Cory D.
1
2021
Variational asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system. Zbl 1467.82071
Carrillo, Jose A.; Wang, Li; Xu, Wuzhe; Yan, Ming
1
2021
Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. Zbl 1461.65067
Schäfer, Florian; Sullivan, T. J.; Owhadi, Houman
1
2021
Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems. Zbl 1447.65077
Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Wheeler, Mary F.
5
2020
The equivalent media generated by bubbles of high contrasts: volumetric metamaterials and metasurfaces. Zbl 1439.35555
Ammari, Habib; Challa, Durga Prasad; Choudhury, Anupam Pal; Sini, Mourad
3
2020
A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080
Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J.
3
2020
Well-balanced finite-volume schemes for hydrodynamic equations with general free energy. Zbl 1434.82098
Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P.; Shu, Chi-Wang
2
2020
Wavelet sparse regularization for manifold-valued data. Zbl 1457.94026
Storath, Martin; Weinmann, Andreas
2
2020
Asymptotic and numerical analysis of a stochastic PDE model of volume transmission. Zbl 1445.35346
Lawley, Sean D.; Shankar, Varun
2
2020
Phase field modeling of precipitation and dissolution processes in porous media: upscaling and numerical experiments. Zbl 1446.35119
Bringedal, Carina; von Wolff, Lars; Pop, Iuliu Sorin
2
2020
On the conservation properties in multiple scale coupling and simulation for Darcy flow with hyperbolic-transport in complex flows. Zbl 1454.35271
Abreu, Eduardo; Díaz, Ciro; Galvis, Juan; Pérez, John
2
2020
A kinetic approach to active rods dynamics in confined domains. Zbl 1439.35478
Berlyand, Leonid; Jabin, Pierre-Emmanuel; Potomkin, Mykhailo; Ratajczyk, Elżbieta
1
2020
A statistical framework for generating microstructures of two-phase random materials: application to fatigue analysis. Zbl 1435.82032
Khristenko, Ustim; Constantinescu, Andrei; Tallec, Patrick Le; Oden, J. Tinsley; Wohlmuth, Barbara
1
2020
A cascadic adaptive finite element method for nonlinear eigenvalue problems in quantum physics. Zbl 1435.65212
Xu, Fei
1
2020
Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. Zbl 1433.76150
Dimarco, Giacomo; Pareschi, Lorenzo
1
2020
Generalized multiscale finite element method for the steady state linear Boltzmann equation. Zbl 1434.65244
Chung, Eric; Efendiev, Yalchin; Li, Yanbo; Li, Qin
1
2020
Multiscale finite elements for transient advection-diffusion equations through advection-induced coordinates. Zbl 1451.65204
Simon, Konrad; Behrens, Jörn
1
2020
Optimizing weighted ensemble sampling of steady states. Zbl 07205781
Aristoff, David; Zuckerman, Daniel M.
1
2020
A fast algorithm for multiresolution mode decomposition. Zbl 1440.42020
Tang, Gao; Yang, Haizhao
1
2020
Mathematical analysis of electromagnetic plasmonic metasurfaces. Zbl 1448.35491
Ammari, Habib; Li, Bowen; Zou, Jun
1
2020
Efficient approximation of flow problems with multiple scales in time. Zbl 1446.65065
Frei, S.; Richter, T.
1
2020
Multiscale flux-based modeling of biofilm communities. Zbl 1448.92144
Zhang, T.; Parker, A.; Carlson, R. P.; Stewart, P. S.; Klapper, I.
1
2020
Randomized sampling for basis function construction in generalized finite element methods. Zbl 1446.65162
Chen, Ke; Li, Qin; Lu, Jianfeng; Wright, Stephen J.
1
2020
An embedded corrector problem for homogenization. I: Theory. Zbl 1446.35015
Cancès, Eric; Ehrlacher, Virginie; Legoll, Frédéric; Stamm, Benjamin; Xiang, Shuyang
1
2020
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
15
2019
Asymptotics of the gradient of solutions to the perfect conductivity problem. Zbl 1426.78022
Li, Haigang; Li, Yanyan; Yang, Zhuolun
5
2019
The Foldy-Lax approximation for the full electromagnetic scattering by small conductive bodies of arbitrary shapes. Zbl 1409.35065
Bouzekri, Ali; Sini, Mourad
4
2019
Kinetic-controlled hydrodynamics for traffic models with driver-assist vehicles. Zbl 1428.35268
Tosin, Andrea; Zanella, Mattia
4
2019
A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach. Zbl 1420.35083
Hou, Thomas Y.; Ma, Dingjiong; Zhang, Zhiwen
4
2019
Boundary conditions for kinetic theory based models I: lattice Boltzmann models. Zbl 1421.76185
Zhao, Weifeng; Huang, Juntao; Yong, Wen-An
4
2019
Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates. Zbl 1422.60133
Lelievre, Tony; Zhang, Wei
4
2019
On the convergence of the SINDy algorithm. Zbl 1437.37108
Zhang, Linan; Schaeffer, Hayden
3
2019
Nonlocal models with heterogeneous localization and their application to seamless local-nonlocal coupling. Zbl 1447.45001
Tao, Yunzhe; Tian, Xiaochuan; Du, Qiang
3
2019
Heterogeneous multiscale method for Maxwell’s equations. Zbl 1435.78019
Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian
3
2019
Renormalized reduced order models with memory for long time prediction. Zbl 1412.65178
Price, Jacob; Stinis, Panos
2
2019
Variational formulation for Wannier functions with entangled band structure. Zbl 1412.82041
Damle, Anil; Levitt, Antoine; Lin, Lin
2
2019
Numerical homogenization and model order reduction for multiscale inverse problems. Zbl 1412.65195
Abdulle, Assyr; Blasio, Andrea Di
2
2019
A perturbative approach to control variates in molecular dynamics. Zbl 1426.82080
Roussel, Julien; Stoltz, Gabriel
2
2019
Numerical homogenization of elliptic PDEs with similar coefficients. Zbl 1428.65085
Hellman, Fredrik; Målqvist, Axel
2
2019
Raster grid pathology and the cure. Zbl 1426.78015
Fannjiang, Albert
2
2019
A constraint energy minimizing generalized multiscale finite element method for parabolic equations. Zbl 1426.65200
Li, Mengnan; Chung, Eric; Jiang, Lijian
2
2019
Hybrid models for simulating blood flow in microvascular networks. Zbl 1433.76200
Vidotto, Ettore; Koch, Timo; Köppl, Tobias; Helmig, Rainer; Wohlmuth, Barbara
2
2019
Interface dynamics for an Allen-Cahn-type equation governing a matrix-valued field. Zbl 1439.35408
Wang, Dong; Osting, Braxton; Wang, Xiao-Ping
2
2019
On constrained Langevin equations and (bio)chemical reaction networks. Zbl 07033867
Anderson, David F.; Higham, Desmond J.; Leite, Saul C.; Williams, Ruth J.
1
2019
Wave propagation and imaging in moving random media. Zbl 1409.76014
Borcea, Liliana; Garnier, Josselin; Solna, Knut
1
2019
Globally constructed adaptive local basis set for spectral projectors of second order differential operators. Zbl 1409.65118
Li, Yingzhou; Lin, Lin
1
2019
A two-dimensional “flea on the elephant” phenomenon and its numerical visualization. Zbl 1408.35110
Bianchini, Roberta; Gosse, Laurent; Zuazua, Enrique
1
2019
A fast hierarchically preconditioned eigensolver based on multiresolution matrix decomposition. Zbl 1455.65053
Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, Ziyun
1
2019
Asymptotic-preserving scheme for the resolution of evolution equations with stiff transport terms. Zbl 1412.35331
Fedele, Baptiste; Negulescu, Claudia; Possanner, Stefan
1
2019
Numerical methods for computing an averaged matrix field. Application to the asymptotic analysis of a parabolic problem with stiff transport terms. Zbl 1426.65143
Blanc, Thomas
1
2019
On the convergence rates of GMsFEMs for heterogeneous elliptic problems without oversampling techniques. Zbl 1426.65179
Li, Guanglian
1
2019
A multiscale domain decomposition algorithm for boundary value problems for eikonal equations. Zbl 1426.65198
Martin, Lindsay; Tsai, Yen-Hsi R.
1
2019
Effective properties of fibrous Composites and cluster convergence. Zbl 1421.74086
Mityushev, Vladimir; Drygas, Piotr
1
2019
Stochastic model reduction for slow-fast systems with moderate time scale separation. Zbl 1434.70056
Wouters, Jeroen; Gottwald, Georg A.
1
2019
A multiscale neural network based on hierarchical matrices. Zbl 1435.65181
Fan, Yuwei; Lin, Lin; Ying, Lexing; Zepeda-Núñez, Leonardo
1
2019
Estimation of the heat conducted by a cluster of small cavities and characterization of the equivalent heat conduction. Zbl 1439.35187
Sini, Mourad; Wang, Haibing
1
2019
Projection-based embedding theory for solving Kohn-Sham density functional theory. Zbl 1434.65325
Lin, Lin; Zepeda-Nunez, Leonardo
1
2019
Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104
Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen
24
2018
Quaternions in collective dynamics. Zbl 1382.35310
Degond, Pierre; Frouvelle, Amic; Merino-Aceituno, Sara; Trescases, Ariane
15
2018
Phase-field modeling of two phase fluid filled fractures in a poroelastic medium. Zbl 1401.74084
Lee, Sanghyun; Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas
15
2018
Hypocoercivity based sensitivity analysis and spectral convergence of the stochastic Galerkin approximation to collisional kinetic equations with multiple scales and random inputs. Zbl 1403.35197
Liu, Liu; Jin, Shi
13
2018
Erratum: “The interplay of curvature and vortices in flow on curved surfaces”. Zbl 1403.35243
Reuther, Sebastian; Voigt, Axel
6
2018
An adaptive generalized multiscale discontinuous Galerkin method for high-contrast flow problems. Zbl 1407.65257
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
5
2018
Boundary homogenization and capture time distributions of semipermeable membranes with periodic patterns of reactive sites. Zbl 1403.35030
Bernoff, Andrew J.; Lindsay, Alan E.; Schmidt, Daniel D.
5
2018
Bayesian inference using intermediate distribution based on coarse multiscale model for time fractional diffusion equations. Zbl 1393.65032
Jiang, Lijian; Ou, Na
5
2018
The multiscale hybrid-mixed method for the Maxwell equations in heterogeneous media. Zbl 1412.65188
Lanteri, Stéphane; Paredes, Diego; Scheid, Claire; Valentin, Frédéric
4
2018
Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators. Zbl 1412.35283
Keller, Rachael T.; Marzuola, J. L.; Osting, B.; Weinstein, M. I.
4
2018
Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime. Zbl 1397.35171
Feireisl, Eduard; Lukáčová-Medviďová, Mária; Nečasová, Šárka; Novotný, Antonín; She, Bangwei
4
2018
Heat generation with plasmonic nanoparticles. Zbl 1432.35241
Ammari, Habib; Romero, Francisco; Ruiz, Matias
4
2018
Langevin dynamics with general kinetic energies. Zbl 1392.82004
Stoltz, Gabriel; Trstanova, Zofia
4
2018
Stochastic unfolding and homogenization of spring network models. Zbl 1392.49014
Neukamm, Stefan; Varga, Mario
4
2018
Cloaking via mapping for the heat equation. Zbl 1401.35142
Craster, R. V.; Guenneau, Sebastien R. L.; Hutridurga, H. R.; Pavliotis, G. A.
3
2018
Extending Babich’s ansatz for point-source Maxwell’s equations using Hadamard’s method. Zbl 1448.65242
Lu, Wangtao; Qian, Jianliang; Burridge, Robert
3
2018
An efficient time-splitting method for the Ehrenfest dynamics. Zbl 1426.35194
Fang, Di; Jin, Shi; Sparber, Christof
3
2018
A spectrally accurate algorithm and analysis for a Ginzburg-Landau model on superconducting surfaces. Zbl 1422.65451
Ganesh, M.; Thompson, T.
2
2018
Kinetic modelling of strongly magnetized tokamak plasmas with mass disparate particles. The electron Boltzmann relation. Zbl 1417.35090
Negulescu, Claudia
2
2018
Accuracy of some approximate Gaussian filters for the Navier-Stokes equation in the presence of model error. Zbl 1408.93132
Branicki, M.; Majda, A. J.; Law, K. J. H.
2
2018
Identifying backbones in three-dimensional discrete fracture networks: a bipartite graph-based approach. Zbl 1457.76165
Hyman, Jeffrey D.; Hagberg, Aric; Osthus, Dave; Srinivasan, Shriram; Viswanathan, Hari; Srinivasan, Gowri
2
2018
Numerical homogenization of heterogeneous fractional Laplacians. Zbl 1426.65170
Brown, Donald L.; Gedicke, Joscha; Peterseim, Daniel
2
2018
Disentanglement via entanglement: a unified method for Wannier localization. Zbl 1448.65290
Damle, Anil; Lin, Lin
2
2018
Clustering nonstationary circadian rhythms using locally stationary wavelet representations. Zbl 1462.62665
Hargreaves, Jessica K.; Knight, Marina I.; Pitchford, Jon W.; Oakenfull, Rachael J.; Davis, Seth J.
2
2018
Harmonic extension on the point cloud. Zbl 06875724
Shi, Zuoqiang; Sun, Jian; Tian, Minghao
2
2018
Low-rank approximation to heterogeneous elliptic problems. Zbl 1448.65238
Li, Guanglian
2
2018
Reducing complexity of multiagent systems with symmetry breaking: an application to opinion dynamics with polls. Zbl 1392.35201
Cristiani, Emiliano; Tosin, Andrea
2
2018
Continuum approximation of invasion probabilities. Zbl 1388.60135
Borchering, Rebecca K.; McKinley, Scott A.
2
2018
Six-dimensional adaptive simulation of the Vlasov equations using a hierarchical basis. Zbl 1393.65009
Deriaz, Erwan; Peirani, Sébastien
2
2018
An adaptive fast solver for a general class of positive definite matrices via energy decomposition. Zbl 1391.65066
Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, PengChuan
2
2018
Analysis of the residual-type and the gradient recovery-type a posteriori error estimators for a consistent atomistic-to-continuum coupling method in one-dimension. Zbl 1450.65138
Wang, Hao; Yang, Siyao
2
2018
A new heterogeneous multiscale method for the Helmholtz equation with high contrast. Zbl 1445.35131
Ohlberger, Mario; Verfurth, Barbara
2
2018
On multiscale ADI methods for parabolic PDEs with a discontinuous coefficient. Zbl 1412.65083
Li, Zhilin; Chen, Xiaohong; Zhang, Zhengru
1
2018
Iterative solvers for elliptic problems with arbitrary anisotropy strengths. Zbl 1433.65259
Yang, Chang; Claustre, Jonathan; Deluzet, Fabrice
1
2018
Discrete-time statistical inference for multiscale diffusions. Zbl 1420.60035
Gailus, Siragan; Spiliopoulos, Konstantinos
1
2018
Nonlinear nonperturbative optics model enriched by evolution equation for polarization. Zbl 1400.78022
Lytova, Marianna; Lorin, Emmanuel; Bandrauk, André D.
1
2018
Computational complexity analysis for Monte Carlo approximations of classically scaled population processes. Zbl 1401.60130
Anderson, David F.; Higham, Desmond J.; Sun, Yu
1
2018
Residual-based variational multiscale modeling in a discontinuous Galerkin framework. Zbl 1433.65227
Stoter, Stein K. F.; Turteltaub, Sergio R.; Hulshoff, Steven J.; Schillinger, Dominik
1
2018
Compressing large-scale wave propagation models via phase-preconditioned rational Krylov subspaces. Zbl 1412.65139
Druskin, Vladimir; Remis, Rob F.; Zaslavsky, Mikhail; Zimmerling, Jörn T.
1
2018
Robustness of stochastic chemical reaction networks to extrinsic noise: the role of deficiency. Zbl 1400.92211
Levien, Ethan; Bressloff, Paul C.
1
2018
A tensor model for nematic phases of bent-core molecules based on molecular theory. Zbl 1401.76025
Xu, Jie; Ye, Fangfu; Zhang, Pingwen
1
2018
Mixed-integer programming for cycle detection in nonreversible Markov processes. Zbl 1391.60170
Witzig, Jakob; Beckenbach, Isabel; Eifler, Leon; Fackeldey, Konstantin; Gleixner, Ambros; Grever, Andreas; Weber, Marcus
1
2018
Incommensurate heterostructures in momentum space. Zbl 1434.82101
Massatt, Daniel; Carr, Stephen; Luskin, Mitchell; Ortner, Christoph
1
2018
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Cited by 8,635 Authors

71 Chung, Tsz Shun Eric
52 Efendiev, Yalchin R.
42 Abdulle, Assyr
37 Degond, Pierre
36 Garnier, Josselin
35 Shen, Zuowei
34 Lu, Jianfeng
30 Osher, Stanley Joel
29 Ammari, Habib M.
29 Ortner, Christoph
29 Wheeler, Mary Fanett
29 Ying, Lexing
27 Chen, Ke
27 Du, Qiang
27 Jin, Shi
25 Carrillo de la Plata, José Antonio
24 Peterseim, Daniel
24 Tai, Xuecheng
23 Wick, Thomas
22 Huang, Ting-Zhu
22 Vasilyeva, Maria V.
21 Bal, Guillaume
21 Bostan, Mihai
21 Burger, Martin
21 Qian, Jianliang
20 Hou, Thomas Yizhao
20 Leung, Wingtat
20 Park, Won-Kwang
19 Bao, Weizhu
19 Bellomo, Nicola
19 Bertozzi, Andrea Louise
19 Galvis, Juan
19 Gunzburger, Max D.
19 Jiang, Lijian
19 Kevrekidis, Ioannis George
19 Le Bris, Claude
19 Pareschi, Lorenzo
19 Schütte, Christof
18 Luskin, Mitchell
18 Shen, Lixin
18 Valentin, Frédéric
17 Cui, Junzhi
17 Gander, Martin Jakob
17 Jenny, Patrick
17 Kang, Hyeonbae
17 Lawley, Sean D.
17 Peyré, Gabriel
17 Schweizer, Ben
17 Sølna, Knut
17 Wu, Boying
17 Zhang, Xiaoqun
16 Combettes, Patrick L.
16 Dimarco, Giacomo
16 Henning, Patrick
16 Pavliotis, Grigorios A.
16 Quarteroni, Alfio M.
16 Steidl, Gabriele
16 Süli, Endre E.
16 Yang, Haizhao
16 Zeng, Tie Yong
15 Bressloff, Paul C.
15 Chambolle, Antonin
15 Grohs, Philipp
15 Hajibeygi, Hadi
15 Holcman, David
15 Liu, Jianguo
15 Mikelić, Andro
15 Ohlberger, Mario
15 Samaey, Giovanni
15 Wu, Chunlin
14 Borcea, Liliana
14 Feng, Xiangchu
14 Ha, Seung-Yeal
14 Hauck, Cory D.
14 Holm, Darryl D.
14 Karniadakis, George Em
14 Klawonn, Axel
14 Koumoutsakos, Petros D.
14 Owhadi, Houman
14 Schönlieb, Carola-Bibiane
14 Sini, Mourad
14 Spiliopoulos, Konstantinos V.
14 Stefanelli, Ulisse
14 Yao, Jen-Chih
13 Aujol, Jean-François
13 Cai, Jian-Feng
13 Dong, Bin
13 Fadili, Jalal M.
13 Ji, Hui
13 Kružík, Martin
13 Majda, Andrew J.
13 Nordbotten, Jan Martin
13 Piccoli, Benedetto
13 Scianna, Marco
13 Yang, Xu
13 Zanella, Mattia
13 Zhu, Wei
12 Antoine, Xavier
12 Banks, Harvey Thomas
12 Bredies, Kristian
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484 Journal of Computational Physics
258 Multiscale Modeling & Simulation
225 Computer Methods in Applied Mechanics and Engineering
181 Journal of Scientific Computing
169 Journal of Computational and Applied Mathematics
146 SIAM Journal on Scientific Computing
129 Computers & Mathematics with Applications
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124 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
121 SIAM Journal on Imaging Sciences
100 Applied and Computational Harmonic Analysis
84 Journal of Statistical Physics
81 SIAM Journal on Numerical Analysis
78 Computational Geosciences
75 Applied Mathematics and Computation
73 Archive for Rational Mechanics and Analysis
73 Journal of Mathematical Analysis and Applications
69 Journal of Mathematical Biology
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64 SIAM Journal on Applied Mathematics
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59 Journal of Fluid Mechanics
59 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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54 Bulletin of Mathematical Biology
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36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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32 Applicable Analysis
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28 Computers and Fluids
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27 BIT
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26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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24 Mathematical Programming. Series A. Series B
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22 European Journal of Applied Mathematics
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16 Information Sciences
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15 ETNA. Electronic Transactions on Numerical Analysis
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14 The Annals of Applied Probability
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14 NoDEA. Nonlinear Differential Equations and Applications
14 The Journal of Fourier Analysis and Applications
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13 Mathematical and Computer Modelling
13 Proceedings of the National Academy of Sciences of the United States of America
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