×

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: 1,203 Publications (since 2003)
References Indexed: 598 Publications with 24,395 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 Engquist, Bjorn E.
8 Forest, Mark Gregory
8 Jiang, Lijian
8 Li, Qin
8 Mucha, Peter J.
8 Sini, Mourad
8 Wheeler, Mary Fanett
7 Bressloff, Paul C.
7 Horenko, Illia
7 Lin, Lin
7 Målqvist, Axel
7 Mikelić, Andro
7 Noé, Frank
7 Papanicolaou, George C.
7 Peterseim, Daniel
7 Qian, Jianliang
7 Shapeev, Alexander V.
7 Spiliopoulos, Konstantinos V.
7 Zhang, Lei
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 Taylor, Dane
6 Voigt, Axel
6 Weber, Marcus
6 Xin, Jack X.
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 Lawley, Sean D.
5 Leung, Wingtat
5 Li, Guanglian
5 Li, Tiejun
5 Lin, Guang
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 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
...and 1,864 more Authors
all top 5

Fields

596 Numerical analysis (65-XX)
580 Partial differential equations (35-XX)
259 Fluid mechanics (76-XX)
225 Probability theory and stochastic processes (60-XX)
206 Statistical mechanics, structure of matter (82-XX)
192 Mechanics of deformable solids (74-XX)
141 Biology and other natural sciences (92-XX)
94 Optics, electromagnetic theory (78-XX)
79 Statistics (62-XX)
72 Ordinary differential equations (34-XX)
72 Computer science (68-XX)
65 Dynamical systems and ergodic theory (37-XX)
60 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 Combinatorics (05-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-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)
4 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

1,036 Publications have been cited 15,062 times in 10,062 Documents Cited by Year
Signal recovery by proximal forward-backward splitting. Zbl 1179.94031
Combettes, Patrick L.; Wajs, Valérie R.
733
2005
Nonlocal operators with applications to image processing. Zbl 1181.35006
Gilboa, Guy; Osher, Stanley
457
2008
A review of image denoising algorithms, with a new one. Zbl 1108.94004
Buades, A.; Coll, B.; Morel, J. M.
436
2005
An iterative regularization method for total variation-based image restoration. Zbl 1090.94003
Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao
326
2005
Split Bregman methods and frame based image restoration. Zbl 1189.94014
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
207
2010
Image decomposition and restoration using total variation minimization and the \(H^{-1}\) norm. Zbl 1051.49026
Osher, Stanley; Solé, Andrés; Vese, Luminita
162
2003
A multiscale mortar mixed finite element method. Zbl 1322.76039
Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F.; Yotov, Ivan
161
2007
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
130
2006
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers. Zbl 1228.65234
Engquist, Björn; Ying, Lexing
123
2011
Optimal local approximation spaces for generalized finite element methods with application to multiscale problems. Zbl 1229.65195
Babuska, Ivo; Lipton, Robert
111
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
Oversampling for the multiscale finite element method. Zbl 1297.65155
Henning, Patrick; Peterseim, Daniel
99
2013
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
Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204
Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing
93
2015
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
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
Multiscale stochastic volatility asymptotics. Zbl 1074.91015
Fouque, Jean-Pierre; Papanicolaou, George; Sircar, Ronnie; Solna, Knut
85
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
78
2015
A posteriori control of modeling errors and discretization errors. Zbl 1050.65100
Braack, Malte; Ern, Alexandre
73
2003
Boundary problems for the fractional and tempered fractional operators. Zbl 1391.60104
Deng, Weihua; Li, Buyang; Tian, Wenyi; Zhang, Pingwen
71
2018
A fast total variation minimization method for image restoration. Zbl 1172.94316
Huang, Yumei; Ng, Michael K.; Wen, You-Wei
68
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.
67
2005
A multiscale finite element method for numerical homogenization. Zbl 1093.35007
Allaire, Grégoire; Brizzi, Robert
67
2005
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215
Bertozzi, Andrea L.; Flenner, Arjuna
65
2012
Toward the finite-time blowup of the 3D axisymmetric Euler equations: a numerical investigation. Zbl 1316.35235
Luo, Guo; Hou, Thomas Y.
64
2014
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
64
2009
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
63
2005
On a priori error analysis of fully discrete heterogeneous multiscale FEM. Zbl 1092.65093
Abdulle, Assyr
62
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
Strong convergence rate for two-time-scale jump-diffusion stochastic differential systems. Zbl 1144.60038
Givon, Dror
61
2007
The discontinuity set of solutions of the TV denoising problem and some extensions. Zbl 1145.49024
Caselles, Vicent; Chambolle, Antonin; Novaga, Matteo
61
2007
Gas pipeline models revisited: model hierarchies, nonisothermal models, and simulations of networks. Zbl 1254.76124
Brouwer, Jens; Gasser, Ingenuin; Herty, Michael
60
2011
Analysis of the recovery of edges in images and signals by minimizing nonconvex regularized least-squares. Zbl 1091.94007
Nikolova, Mila
60
2005
Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
57
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
56
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
56
2006
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.
56
2008
Crystal precipitation and dissolution in a porous medium: Effective equations and numerical experiments. Zbl 1176.35020
van Noorden, T. L.
53
2009
A fast butterfly algorithm for the computation of Fourier integral operators. Zbl 1184.65125
Candès, Emmanuel; Demanet, Laurent; Ying, Lexing
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
From the microscale to collective crowd dynamics. Zbl 1280.90019
Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian
52
2013
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
Transition path theory for Markov jump processes. Zbl 1185.60086
Metzner, Philipp; Schütte, Christof; Vanden-Eijnden, Eric
52
2009
High-dimensional finite elements for elliptic problems with multiple scales. Zbl 1074.65135
Viet Ha Hoang; Schwab, Christoph
51
2005
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
Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309
Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan
51
2007
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
48
2014
Eigenfracture: an eigendeformation approach to variational fracture. Zbl 1173.74040
Schmidt, Bernd; Fraternali, Fernando; Ortiz, Michael
47
2009
Learning multiscale sparse representations for image and video restoration. Zbl 1194.49041
Mairal, Julien; Sapiro, Guillermo; Elad, Michael
46
2008
Multilevel Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics. Zbl 1262.60072
Anderson, David F.; Higham, Desmond J.
46
2012
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K.
45
2005
Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140
Owhadi, Houman; Zhang, Lei
45
2011
Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113
Efendiev, Y.; Pankov, A.
43
2004
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.
41
2010
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
41
2008
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
Capturing small scales in elliptic problems using a residual-free bubbles finite element method. Zbl 1032.65131
Sangalli, Giancarlo
40
2003
A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207
Mielke, Alexander; Roubíček, Tomáš
40
2003
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
Homogenization of Maxwell’s equations in a split ring geometry. Zbl 1228.35028
Bouchitté, Guy; Schweizer, Ben
39
2010
Fast and slow dynamics for the computational singular perturbation method. Zbl 1065.34049
Zagaris, Antonios; Kaper, Hans G.; Kaper, Tasso J.
39
2004
Reduced-basis approach for homogenization beyond the periodic setting. Zbl 1156.74358
Boyaval, Sébastien
39
2008
Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521
Kornhuber, Ralf; Yserentant, Harry
39
2016
Numerically modeling stochastic Lie transport in fluid dynamics. Zbl 1454.76064
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor
37
2019
Approximation of polyatomic FPU lattices by KdV equations. Zbl 1317.37100
Gaison, Jeremy; Moskow, Shari; Wright, J. Douglas; Zhang, Qimin
36
2014
A Lagrangian particle-wavelet method. Zbl 1122.65085
Bergdorf, Michael; Koumoutsakos, Petros
36
2006
Mixed multiscale finite element methods using limited global information. Zbl 1277.76036
Aarnes, J. E.; Efendiev, Y.; Jiang, L.
35
2008
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.
35
2017
Bloch-wave homogenization on large time scales and dispersive effective wave equations. Zbl 1320.35043
Dohnal, T.; Lamacz, A.; Schweizer, B.
34
2014
Adaptive finite element approximations for Kohn-Sham models. Zbl 1316.35260
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui
34
2014
A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems. Zbl 1090.65128
Ohlberger, Mario
34
2005
A framework for adaptive multiscale methods for elliptic problems. Zbl 1160.65342
Nolen, James; Papanicolaou, George; Pironneau, Olivier
34
2008
A coupled model for radiative transfer: Doppler effects, equilibrium, and nonequilibrium diffusion asymptotics. Zbl 1236.85006
Godillon-Lafitte, Pauline; Goudon, Thierry
34
2005
Butterfly factorization. Zbl 1317.44004
Li, Yingzhou; Yang, Haizhao; Martin, Eileen R.; Ho, Kenneth L.; Ying, Lexing
33
2015
Finite element heterogeneous multiscale method for the wave equation. Zbl 1298.65145
Abdulle, Assyr; Grote, Marcus J.
33
2011
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
An asymptotic preserving scheme for strongly anisotropic elliptic problems. Zbl 1190.35216
Degond, Pierre; Deluzet, Fabrice; Negulescu, Claudia
33
2010
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
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
A fourth-order variational image registration model and its fast multigrid algorithm. Zbl 1218.65022
Chumchob, N.; Chen, K.; Brito-Loeza, Carlos
31
2011
On the convergence of the SINDy algorithm. Zbl 1437.37108
Zhang, Linan; Schaeffer, Hayden
31
2019
Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160
Berestycki, H.; Rodríguez, N.; Ryzhik, L.
30
2013
A variational approach to modeling slow processes in stochastic dynamical systems. Zbl 1306.65013
Noé, Frank; Nüske, Feliks
30
2013
Heterogeneous multiscale FEM for diffusion problems on rough surfaces. Zbl 1160.65337
Abdulle, Assyr; Schwab, Christoph
30
2005
Upscaling an extended heterogeneous Stefan problem from the pore-scale to the Darcy scale in permafrost. Zbl 1537.35039
Peszynska, Malgorzata; Vohra, Naren; Bigler, Lisa
2
2024
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations. Zbl 1532.65113
Ma, Chupeng; Melenk, J. M.
2
2024
Boundary homogenization for partially reactive patches. Zbl 07892732
Plunkett, Claire E.; Lawley, Sean D.
1
2024
Three-dimensional random wave coupling along a boundary and an associated inverse problem. Zbl 07813967
de Hoop, Maarten V.; Garnier, Josselin; Sølna, Knut
1
2024
Semiclassical propagation along curved domain walls. Zbl 1532.81030
Bal, Guillaume
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
A neural network approach for homogenization of multiscale problems. Zbl 1518.65129
Han, Jihun; Lee, Yoonsang
3
2023
Exponentially convergent multiscale methods for 2D high frequency heterogeneous Helmholtz equations. Zbl 1518.65127
Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan
3
2023
Crystallinity of the homogenized energy density of periodic lattice systems. Zbl 1518.35046
Chambolle, Antonin; Kreutz, Leonard
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
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
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
Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. Zbl 1518.65136
Zhao, Lina; Chung, Eric
2
2023
A framework for a generalization analysis of machine-learned interatomic potentials. Zbl 1526.74005
Ortner, Christoph; Wang, Yangshuai
2
2023
Mathematical models of topologically protected transport in twisted bilayer gaphene. Zbl 1534.82030
Bal, Guillaume; Cazeaux, Paul; Massatt, Daniel; Quinn, Solomon
2
2023
GANs and closures: micro-macro consistency in multiscale modeling. Zbl 1538.82096
Crabtree, Ellis R.; Bello-Rivas, Juan M.; Ferguson, Andrew L.; Kevrekidis, Ioannis G.
2
2023
Elastic far-field decay from dislocations in multilattices. Zbl 1527.74009
Olson, Derek; Ortner, Christoph; Wang, Yangshuai; Zhang, Lei
2
2023
An elliptic local problem with exponential decay of the resonance error for numerical homogenization. Zbl 1518.35042
Abdulle, Assyr; Arjmand, Doghonay; Paganoni, Edoardo
2
2023
Edge modes in subwavelength resonators in one dimension. Zbl 1522.35057
Ammari, Habib; Barandun, Silvio; Cao, Jinghao; Feppon, Florian
2
2023
Speckle memory effect in the frequency domain and stability in time-reversal experiments. Zbl 1530.35303
Garnier, Josselin; Sølna, Knut
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
The interaction between two close-to-touching convex acoustic subwavelength resonators. Zbl 1522.35168
Li, Haigang; Zhao, Yan
1
2023
Mathematical theory for electromagnetic scattering resonances and field enhancement in a subwavelength annular gap. Zbl 1526.35044
Lin, Junshan; Lu, Wangtao; Zhang, Hai
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
Electronic observables for relaxed bilayer two-dimensional heterostructures in momentum space. Zbl 1535.81082
Massatt, Daniel; Carr, Stephen; Luskin, Mitchell
1
2023
An effective fractional paraxial wave equation for wave-fronts in randomly layered media with long-range correlations. Zbl 1529.35587
Gomez, Christophe
1
2023
On the periodic homogenization of elliptic equations in nondivergence form with large drifts. Zbl 1529.35025
Jing, Wenjia; Zhang, Yiping
1
2023
Large deviation principle and thermodynamic limit of chemical master equation via nonlinear semigroup. Zbl 1528.49026
Gao, Yuan; Liu, Jian-Guo
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
2023
Extending the regime of linear response with synthetic forcings. Zbl 1527.82044
Spacek, Renato; Stoltz, Gabriel
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
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
Learning Markovian homogenized models in viscoelasticity. Zbl 1524.74078
Bhattacharya, Kaushik; Liu, Burigede; Stuart, Andrew; Trautner, Margaret
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
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
12
2022
Optimal local approximation spaces for parabolic problems. Zbl 1487.65157
Schleuß, Julia; Smetana, Kathrin
11
2022
Multi-resolution localized orthogonal decomposition for Helmholtz problems. Zbl 1493.65204
Hauck, Moritz; Peterseim, Daniel
11
2022
Multiscale invariants of Floquet topological insulators. Zbl 1487.35337
Bal, Guillaume; Massatt, Daniel
9
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
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
6
2022
Efficiency of micro-macro models for reactive two-mineral systems. Zbl 1507.35177
Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja
6
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
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
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
5
2022
Gradient estimates for electric fields with multiscale inclusions in the quasi-static regime. Zbl 1497.35186
Deng, Youjun; Fang, Xiaoping; Liu, Hongyu
4
2022
Upscaling errors in heterogeneous multiscale methods for the Landau-Lifshitz equation. Zbl 1482.65168
Leitenmaier, Lena; Runborg, Olof
4
2022
Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. Zbl 1496.65220
Kazeev, Vladimir; Oseledets, Ivan; Rakhuba, Maxim V.; Schwab, Christoph
4
2022
QM/MM methods for crystalline defects. III: Machine-learned MM models. Zbl 1514.81006
Chen, Huajie; Ortner, Christoph; Wang, Yangshuai
4
2022
Hamiltonian Dysthe equation for three-dimensional deep-water gravity waves. Zbl 1490.76037
Guyenne, Philippe; Kairzhan, Adilbek; Sulem, Catherine
3
2022
On the random batch method for second order interacting particle systems. Zbl 1505.65003
Jin, Shi; Li, Lei; Sun, Yiqun
3
2022
High order topological asymptotics: reconciling layer potentials and compound asymptotic expansions. Zbl 1501.35033
Feppon, Florian; Ammari, Habib
3
2022
Adaptive solution of initial value problems by a dynamical Galerkin scheme. Zbl 1498.65162
Pereira, Rodrigo M.; Nguyen Van Yen, Natacha; Schneider, Kai; Farge, Marie
3
2022
Wide-band butterfly network: stable and efficient inversion via multi-frequency neural networks. Zbl 1498.65231
Li, Matthew; Demanet, Laurent; Zepeda-Núñez, Leonardo
3
2022
Nonreciprocal wave propagation in space-time modulated media. Zbl 1505.35095
Ammari, Habib; Cao, Jinghao; Hiltunen, Erik Orvehed
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
2022
The narrow capture problem with partially absorbing targets and stochastic resetting. Zbl 1496.35034
Bressloff, Paul C.; Schumm, Ryan D.
3
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
The heterogeneous multiscale method for dispersive Maxwell systems. Zbl 1493.65150
Freese, Philip
2
2022
Hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles. Zbl 1513.76155
Dahm, Sina; Helzel, Christiane
2
2022
Manifold learning and nonlinear homogenization. Zbl 1498.65218
Chen, Shi; Li, Qin; Lu, Jianfeng; Wright, Stephen J.
2
2022
Analysis and optimization of certain parallel Monte Carlo methods in the low temperature limit. Zbl 1484.60030
Dupuis, Paul; Wu, Guo-Jhen
2
2022
Computational modeling for high-fidelity coarsening of shallow water equations based on subgrid data. Zbl 1509.76058
Ephrati, Sagy R.; Luesink, Erwin; Wimmer, Golo; Cifani, Paolo; Geurts, Bernard J.
2
2022
An adaptive planewave method for electronic structure calculations. Zbl 1487.65175
Liu, Beilei; Chen, Huajie; Dusson, Geneviève; Fang, Jun; Gao, Xingyu
1
2022
High-order numerical homogenization for dissipative ordinary differential equations. Zbl 1493.34161
Jin, Zeyu; Li, Ruo
1
2022
Higher order phase averaging for highly oscillatory systems. Zbl 1535.70094
Bauer, Werner; Cotter, Colin; Wingate, Beth
1
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
An MsFEM approach enriched using Legendre polynomials. Zbl 1496.65224
Legoll, Frédéric; Rothé, Pierre-Loïk; Le Bris, Claude; Hetmaniuk, Ulrich
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.
24
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
12
2021
Effective coupling conditions for arbitrary flows in Stokes-Darcy systems. Zbl 1470.35280
Eggenweiler, Elissa; Rybak, Iryna
10
2021
Tunable eigenvector-based centralities for multiplex and temporal networks. Zbl 1457.90033
Taylor, Dane; Porter, Mason A.; Mucha, Peter J.
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
Exponential convergence for multiscale linear elliptic PDEs via adaptive edge basis functions. Zbl 1473.65296
Chen, Yifan; Hou, Thomas Y.; Wang, Yixuan
9
2021
A hybrid finite-volume, discontinuous Galerkin discretization for the radiative transport equation. Zbl 1453.82099
Heningburg, Vincent; Hauck, Cory D.
7
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
7
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
7
2021
Efficient construction of tensor ring representations from sampling. Zbl 1468.65014
Khoo, Yuehaw; Lu, Jianfeng; Ying, Lexing
7
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
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.
5
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
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
Multiflocks: emergent dynamics in systems with multiscale collective behavior. Zbl 1470.92403
Shvydkoy, Roman; Tadmor, Eitan
5
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
5
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
...and 936 more Documents
all top 5

Cited by 13,015 Authors

113 Chung, Tsz Shun Eric
74 Efendiev, Yalchin R.
48 Abdulle, Assyr
47 Garnier, Josselin
46 Lu, Jianfeng
45 Degond, Pierre
45 Jin, Shi
43 Ortner, Christoph
42 Ammari, Habib
41 Leung, Wingtat
38 Du, Qiang
38 Peterseim, Daniel
36 Osher, Stanley Joel
36 Shen, Zuowei
36 Ying, Lexing
35 Carrillo de la Plata, José Antonio
35 Pareschi, Lorenzo
35 Wick, Thomas
33 Kevrekidis, Ioannis George
33 Vasilyeva, Maria V.
33 Wheeler, Mary Fanett
32 Hou, Thomas Yizhao
30 Fu, Shubin
30 Luskin, Mitchell
29 Bal, Guillaume
29 Gunzburger, Max D.
29 Schütte, Christof
28 Cui, Junzhi
28 Huang, Ting-Zhu
28 Jiang, Lijian
28 Liu, Jianguo
28 Tai, Xuecheng
28 Zeng, Tie Yong
27 Bressloff, Paul C.
27 Chen, Ke
27 Le Bris, Claude
27 Owhadi, Houman
27 Qian, Jianliang
27 Sini, Mourad
27 Zanella, Mattia
26 Bao, Weizhu
26 Burger, Martin
26 Herty, Michael Matthias
25 Ha, Seung-Yeal
25 Schönlieb, Carola-Bibiane
25 Yang, Haizhao
24 Galvis, Juan
24 Lawley, Sean D.
23 Bellomo, Nicola
23 Cholamjiak, Prasit
23 Dong, Bin
23 Park, Won-Kwang
23 Quarteroni, Alfio M.
23 Valentin, Frédéric
23 Zhang, Zhiwen
22 Bertozzi, Andrea Louise
22 D’Elia, Marta
22 Hauck, Cory D.
22 Holm, Darryl Dallas
22 Wu, Boying
21 Borcea, Liliana
21 Bostan, Mihai
21 Combettes, Patrick L.
21 Dimarco, Giacomo
21 Henning, Patrick
21 Li, Qin
21 Liu, Hongyu
21 Stuart, Andrew M.
21 Zhang, Lei
20 Jenny, Patrick
20 Målqvist, Axel
20 Pavliotis, Grigorios A.
20 Soize, Christian
20 Sølna, Knut
20 Spiliopoulos, Konstantinos V.
20 Wu, Chunlin
20 Zhang, Xiaoqun
19 Gander, Martin Jakob
19 Klawonn, Axel
19 Legoll, Frédéric
19 Lipton, Robert P.
19 Mikelić, Andro
19 Schweizer, Ben
19 Shen, Lixin
19 Tian, Xiaochuan
19 Xin, Jack X.
18 Chambolle, Antonin
18 Engquist, Bjorn E.
18 Feng, Xiangchu
18 Guo, Zhichang
18 Holcman, David
18 Kang, Hyeonbae
18 Karniadakis, George Em
18 Laghrib, Amine
18 Li, Ruo
18 Lin, Guang
18 Muntean, Adrian
18 Pop, Iuliu Sorin
18 Steidl, Gabriele
18 Trucu, Dumitru
...and 12,915 more Authors
all top 5

Cited in 607 Journals

762 Journal of Computational Physics
384 Multiscale Modeling & Simulation
371 Computer Methods in Applied Mechanics and Engineering
266 Journal of Scientific Computing
232 Journal of Computational and Applied Mathematics
214 SIAM Journal on Scientific Computing
184 Computers & Mathematics with Applications
170 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
112 Inverse Problems
106 SIAM Journal on Numerical Analysis
105 Physica D
104 Applied Mathematics and Computation
101 SIAM Journal on Applied Mathematics
100 SIAM Journal on Mathematical Analysis
99 Computational Geosciences
98 Mathematical Methods in the Applied Sciences
96 International Journal for Numerical Methods in Engineering
95 Journal of Statistical Physics
95 Journal of Differential Equations
93 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
93 Inverse Problems and Imaging
90 Journal of Mathematical Analysis and Applications
84 Journal of Fluid Mechanics
84 Applied Numerical Mathematics
83 Numerische Mathematik
82 Archive for Rational Mechanics and Analysis
81 Mathematics of Computation
80 Journal of Mathematical Biology
80 Journal of Nonlinear Science
70 Bulletin of Mathematical Biology
69 Advances in Computational Mathematics
67 Communications in Computational Physics
61 Journal of Theoretical Biology
56 Computer Physics Communications
54 Applied Mathematical Modelling
53 Computational Mechanics
53 Mathematical Problems in Engineering
49 Applicable Analysis
47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
47 Numerical Algorithms
46 Computational Optimization and Applications
45 Discrete and Continuous Dynamical Systems. Series B
44 Journal of Mathematical Physics
43 Kinetic and Related Models
43 SIAM/ASA Journal on Uncertainty Quantification
42 Journal of Physics A: Mathematical and Theoretical
41 European Journal of Applied Mathematics
40 Computational and Applied Mathematics
40 Nonlinear Analysis. Real World Applications
39 Journal of Optimization Theory and Applications
39 Chaos
39 Foundations of Computational Mathematics
38 Numerical Methods for Partial Differential Equations
38 SIAM Journal on Applied Dynamical Systems
36 Computers and Fluids
36 BIT
36 Calculus of Variations and Partial Differential Equations
36 Communications in Nonlinear Science and Numerical Simulation
35 International Journal of Computer Mathematics
34 SIAM Journal on Optimization
34 Networks and Heterogeneous Media
33 Communications in Mathematical Physics
33 Nonlinearity
33 Statistics and Computing
32 Journal of the Mechanics and Physics of Solids
31 ZAMP. Zeitschrift für angewandte Mathematik und Physik
30 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Discrete and Continuous Dynamical Systems. Series S
29 Mathematical Biosciences
29 Discrete and Continuous Dynamical Systems
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
28 Wave Motion
28 Mathematical Programming. Series A. Series B
28 Numerical Linear Algebra with Applications
28 International Journal of Computer Vision
27 Applied Mathematics Letters
27 SIAM Review
26 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
26 Mathematical Biosciences and Engineering
25 Mathematics and Computers in Simulation
25 Quarterly of Applied Mathematics
25 Optimization
25 Multidimensional Systems and Signal Processing
25 The Annals of Applied Probability
25 ETNA. Electronic Transactions on Numerical Analysis
25 Acta Numerica
24 Applied Mathematics and Optimization
24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
24 Abstract and Applied Analysis
23 Communications on Pure and Applied Mathematics
23 Information Sciences
23 SIAM Journal on Control and Optimization
23 Journal of Inequalities and Applications
23 Oberwolfach Reports
23 Research in the Mathematical Sciences
22 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
21 Asymptotic Analysis
...and 507 more Journals
all top 5

Cited in 58 Fields

4,389 Numerical analysis (65-XX)
3,658 Partial differential equations (35-XX)
1,835 Fluid mechanics (76-XX)
1,205 Mechanics of deformable solids (74-XX)
1,123 Information and communication theory, circuits (94-XX)
1,037 Probability theory and stochastic processes (60-XX)
1,007 Biology and other natural sciences (92-XX)
966 Computer science (68-XX)
924 Statistical mechanics, structure of matter (82-XX)
806 Operations research, mathematical programming (90-XX)
713 Calculus of variations and optimal control; optimization (49-XX)
528 Statistics (62-XX)
436 Operator theory (47-XX)
412 Optics, electromagnetic theory (78-XX)
354 Dynamical systems and ergodic theory (37-XX)
336 Ordinary differential equations (34-XX)
253 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
248 Systems theory; control (93-XX)
236 Quantum theory (81-XX)
208 Harmonic analysis on Euclidean spaces (42-XX)
191 Geophysics (86-XX)
179 Integral equations (45-XX)
170 Classical thermodynamics, heat transfer (80-XX)
140 Linear and multilinear algebra; matrix theory (15-XX)
136 Mechanics of particles and systems (70-XX)
134 Real functions (26-XX)
129 Approximations and expansions (41-XX)
121 Functional analysis (46-XX)
85 Combinatorics (05-XX)
69 Global analysis, analysis on manifolds (58-XX)
64 Differential geometry (53-XX)
38 General and overarching topics; collections (00-XX)
36 Integral transforms, operational calculus (44-XX)
30 Measure and integration (28-XX)
28 Special functions (33-XX)
21 Potential theory (31-XX)
18 Functions of a complex variable (30-XX)
18 Convex and discrete geometry (52-XX)
15 Difference and functional equations (39-XX)
15 Astronomy and astrophysics (85-XX)
13 General topology (54-XX)
12 Topological groups, Lie groups (22-XX)
10 Manifolds and cell complexes (57-XX)
9 Algebraic topology (55-XX)
8 History and biography (01-XX)
7 Relativity and gravitational theory (83-XX)
6 Algebraic geometry (14-XX)
4 Abstract harmonic analysis (43-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Number theory (11-XX)
3 Group theory and generalizations (20-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Sequences, series, summability (40-XX)
3 Geometry (51-XX)
2 Commutative algebra (13-XX)
2 Nonassociative rings and algebras (17-XX)
2 Mathematics education (97-XX)
1 Category theory; homological algebra (18-XX)

Citations by Year