×

zbMATH — the first resource for mathematics

Efendiev, Yalchin R.

Compute Distance To:
Author ID: efendiev.yalchin-r Recent zbMATH articles by "Efendiev, Yalchin R."
Published as: Efendiev, Yalchin; Efendiev, Y.; Efendiev, Yalchin R.; Èfendiev, Ya. R.
Documents Indexed: 136 Publications since 1994, including 1 Book
all top 5

Co-Authors

4 single-authored
37 Chung, Tsz Shun Eric
22 Galvis, Juan
16 Leung, Wingtat
14 Hou, Thomas Yizhao
13 Vasilyeva, Maria V.
12 Lazarov, Raytcho D.
9 Ginting, Victor
9 Jiang, Lijian
8 Calo, Victor Manuel
8 Pankov, Alexander A.
6 Aarnes, Jørg E.
6 Ewing, Richard Edward
6 Li, Guanglian
6 Wang, Yating
5 Douglas, Craig C.
4 Bessaih, Hakima
4 Cheung, Siu Wun
4 Ghommem, Mehdi
4 Gibson jun., Richard L.
4 Iliev, Oleg P.
4 Mallick, Bani K.
4 Wu, Xiaohui
3 Brown, Donald L.
3 Guha, Nilabja
3 Popov, Peter
3 Presho, Michael
3 Shi, Ke
3 Vassilevski, Panayot Spirov
2 Akkutlu, I. Yucel
2 Cole, Martin J.
2 Dostert, Paul
2 Fu, Shubin
2 Gildin, Eduardo
2 Jin, Bangti
2 Jones, Greg
2 Kronsbein, Cornelia
2 Lee, Chak Shing
2 Leung, Wing T.
2 Li, Yanbo
2 Luo, Wuan
2 Maris, Razvan Florin
2 Maris, Razvan Florian
2 Moon, Minam
2 Wheeler, Mary Fanett
2 Willems, Joerg
2 Yang, Keren
2 Ye, Shuai
1 Alekseev, V. N.
1 Alotaibi, Manal
1 Belyaev, Alexeĭ Yu.
1 Brandt, Achi E.
1 Chan, Ho-Yuen
1 Datta-Gupta, Akhil
1 De Basabe, Jonás D.
1 Deng, Li
1 Durlofsky, Louis J.
1 Gao, Kai
1 Gavril’eva, U. S.
1 Gorb, Yuliya
1 Haase, Gundolf
1 Hoang, Viet Ha
1 Johnson, Chris R.
1 Kalchev, Delyan Z.
1 Kang, Seul Ki
1 Kheriji, Walid
1 Kim, Jihoon
1 Kucher, Anfread
1 Legoll, Frédéric
1 Leung, Tat
1 Li, Qin
1 Lodder, Robert R.
1 Luskin, Mitchell
1 Ma, Xianlin
1 Margenov, Svetozar D.
1 Michael, Presho
1 Mishev, Iiya
1 Pauletti, M. Sebastian
1 Popov, Boyan
1 Qin, Guan
1 Ren, Jun
1 Sarkis, Marcus V.
1 Savatorova, Viktoria L.
1 Spiridonov, D. A.
1 Strinopoulos, T.
1 Tan, Xiaosi
1 Taralova, Vasilena
1 Thomines, Florian
1 Truskinovsky, Lev
1 Vasil’eva, Mariya V.
1 Villa, Umberto E.
1 Wang, Hong
1 Wang, Yuhe
1 Weißer, Steffen
1 Wu, Xiaoqing
1 Yao, Jun
1 Zhang, Jingyan
1 Zhang, Na
1 Zhang, Zhiwen
1 Zhou, Jianxin
all top 5

Serials

22 Journal of Computational Physics
17 Multiscale Modeling & Simulation
7 Computer Methods in Applied Mechanics and Engineering
7 Computational Geosciences
5 GEM - International Journal on Geomathematics
4 Applicable Analysis
4 Communications in Computational Physics
3 Computers & Mathematics with Applications
3 SIAM Journal on Scientific Computing
3 Discrete and Continuous Dynamical Systems. Series B
2 SIAM Journal on Numerical Analysis
2 Applied Numerical Mathematics
2 Computational and Applied Mathematics
2 Communications in Mathematical Sciences
2 International Journal of Numerical Analysis and Modeling
2 Oberwolfach Reports
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Networks and Heterogeneous Media
2 Numerical Mathematics: Theory, Methods and Applications
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Moscow University Mechanics Bulletin
1 Computing
1 Journal of the American Statistical Association
1 Numerische Mathematik
1 Numerical Methods for Partial Differential Equations
1 Mathematical and Computer Modelling
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Continuum Mechanics and Thermodynamics
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 Computational Methods in Applied Mathematics
1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
1 Journal of Numerical Mathematics
1 Communications on Pure and Applied Analysis
1 International Journal of Evolution Equations
1 Surveys and Tutorials in the Applied Mathematical Sciences
1 Mathematical Geosciences
1 Advances in Adaptive Data Analysis
1 Journal of Algorithms & Computational Technology
1 Bayesian Analysis
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Matematicheskie Zametki SVFU

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 2,258 times in 792 Documents Cited by Year
Multiscale finite element methods. Theory and applications. Zbl 1163.65080
Efendiev, Yalchin; Hou, Thomas Y.
255
2009
Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617
Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y.
177
2013
Multiscale finite element methods for high-contrast problems using local spectral basis functions. Zbl 1391.76321
Efendiev, Yalchin; Galvis, Juan; Wu, Xiao-Hui
98
2011
Convergence of a nonconforming multiscale finite element method. Zbl 0951.65105
Efendiev, Yalchin R.; Hou, Thomas Y.; Wu, Xiao-Hui
98
2000
Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042
Galvis, Juan; Efendiev, Yalchin
97
2010
Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029
Galvis, Juan; Efendiev, Yalchin
82
2010
Accurate multiscale finite element methods for two-phase flow simulations. Zbl 1158.76349
Efendiev, Y.; Ginting, V.; Hou, T.; Ewing, R.
81
2006
Multiscale finite element methods for nonlinear problems and their applications. Zbl 1083.65105
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Ginting, Victor
64
2004
Analysis of upscaling absolute permeability. Zbl 1162.65327
Wu, X. H.; Efendiev, Y.; Hou, T. Y.
61
2002
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
59
2012
Adaptive multiscale model reduction with generalized multiscale finite element methods. Zbl 1349.76191
Chung, Eric; Efendiev, Yalchin; Hou, Thomas Y.
58
2016
An adaptive GMsFEM for high-contrast flow problems. Zbl 1354.65242
Chung, Eric T.; Efendiev, Yalchin; Li, Guanglian
47
2014
Preconditioning Markov chain Monte Carlo simulations using coarse-scale models. Zbl 1111.65003
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Luo, Wu An
43
2006
Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204
Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing
42
2015
Residual-driven online generalized multiscale finite element methods. Zbl 1349.65615
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
40
2015
Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian
35
2016
Multiscale finite element methods for porous media flows and their applications. Zbl 1112.76046
Efendiev, Yalchin R.; Hou, Thomas Yizhao
33
2007
Numerical homogenization of nonlinear random parabolic operators. Zbl 1181.76113
Efendiev, Y.; Pankov, A.
31
2004
Mixed multiscale finite element methods for stochastic porous medium flows. Zbl 1171.76022
Aarnes, J. E.; Efendiev, Y.
30
2008
Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
28
2014
Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M.
27
2013
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael
27
2014
Mode decomposition methods for flows in high-contrast porous media. Global-local approach. Zbl 1349.76209
Ghommem, Mehdi; Presho, Michael; Calo, Victor M.; Efendiev, Yalchin
23
2013
Mixed multiscale finite element methods using limited global information. Zbl 1277.76036
Aarnes, J. E.; Efendiev, Y.; Jiang, L.
21
2008
Generalized multiscale finite element method for elasticity equations. Zbl 1307.74064
Chung, Eric T.; Efendiev, Yalchin; Fu, Shubin
21
2014
Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification. Zbl 1194.76112
Dostert, P.; Efendiev, Y.; Hou, T. Y.
20
2008
Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225
Popov, Peter; Efendiev, Yalchin; Qin, Guan
20
2009
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
19
2016
A domain decomposition preconditioner for multiscale high-contrast problems. Zbl 1217.65221
Efendiev, Yalchin; Galvis, Juan
19
2011
Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains. Zbl 1372.65322
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria; Wang, Yating
18
2017
Non-local multi-continua upscaling for flows in heterogeneous fractured media. Zbl 1415.76449
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria; Wang, Yating
18
2018
Multiscale model reduction for shale gas transport in fractured media. Zbl 1391.76714
Akkutlu, I. Y.; Efendiev, Yalchin; Vasilyeva, Maria
18
2016
Coupling of multiscale and multi-continuum approaches. Zbl 1456.65107
Chung, Eric T.; Efendiev, Yalchin; Leung, Tat; Vasilyeva, Maria
17
2017
Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification. Zbl 1146.76637
Dostert, P.; Efendiev, Y.; Hou, T. Y.; Luo, W.
16
2006
Multiscale model reduction for shale gas transport in poroelastic fractured media. Zbl 1380.76032
Akkutlu, I. Yucel; Efendiev, Yalchin; Vasilyeva, Maria; Wang, Yuhe
16
2018
Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media. Zbl 1349.74322
Gao, Kai; Fu, Shubin; Gibson, Richard L.; Chung, Eric T.; Efendiev, Yalchin
16
2015
An energy-conserving discontinuous multiscale finite element method for the wave equation in heterogeneous media. Zbl 1263.74048
Chung, Eric T.; Efendiev, Yalchin; Gibson jun., Richard L.
16
2011
A systematic coarse-scale model reduction technique for parameter-dependent flows in highly heterogeneous media and its applications. Zbl 1264.76088
Efendiev, Yalchin; Galvis, Juan; Thomines, Florian
16
2012
Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method. Zbl 1338.76052
Efendiev, Yalchin; Lee, Seong; Li, Guanglian; Yao, Jun; Zhang, Na
16
2015
Fast online generalized multiscale finite element method using constraint energy minimization. Zbl 1380.65366
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
15
2018
Multiscale empirical interpolation for solving nonlinear PDEs. Zbl 1349.65612
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi
15
2014
Coarse-grid multiscale model reduction techniques for flows in heterogeneous media and applications. Zbl 1245.76152
Efendiev, Yalchin; Galvis, Juan
15
2012
Analysis of global multiscale finite element methods for wave equations with continuum spatial scales. Zbl 1205.65270
Jiang, Lijian; Efendiev, Yalchin; Ginting, Victor
14
2010
Reduced-contrast approximations for high-contrast multiscale flow problems. Zbl 1211.35073
Chung, Eric T.; Efendiev, Yalchin
14
2010
Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients. Zbl 1217.65222
Efendiev, Yalchin; Galvis, Juan; Vassilevski, Panayot S.
14
2011
Constraint energy minimizing generalized multiscale finite element method. Zbl 1440.65195
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
13
2018
Global-local nonlinear model reduction for flows in heterogeneous porous media. Zbl 1423.76414
Alotaibi, Manal; Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi
13
2015
Numerical homogenization and correctors for nonlinear elliptic equations. Zbl 1088.65098
Efendiev, Y.; Pankov, A.
12
2004
Constrained energy minimization based upscaling for coupled flow and mechanics. Zbl 1416.76163
Vasilyeva, Maria; Chung, Eric T.; Efendiev, Yalchin; Kim, Jihoon
12
2019
Constraint energy minimizing generalized multiscale finite element method in the mixed formulation. Zbl 1405.76049
Chung, Eric; Efendiev, Yalchin; Leung, Wing Tat
12
2018
An efficient hierarchical multiscale finite element method for Stokes equations in slowly varying media. Zbl 1267.74096
Brown, Donald L.; Efendiev, Yalchin; Hoang, Viet Ha
12
2013
An adaptive multiscale method for simulation of fluid flow in heterogeneous porous media. Zbl 1205.76156
Aarnes, Jørg E.; Efendiev, Yalchin
11
2006
Multiscale finite element for problems with highly oscillatory coefficients. Zbl 0997.65129
Efendiev, Yalchin R.; Wu, Xiao-Hui
11
2002
Generalized multiscale finite element methods for problems in perforated heterogeneous domains. Zbl 1457.65189
Chung, Eric T.; Efendiev, Yalchin; Li, Guanglian; Vasilyeva, Maria
11
2016
Asymptotic expansions for high-contrast elliptic equations. Zbl 1292.35100
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan
11
2014
Multiscale methods for parabolic equations with continuum spatial scales. Zbl 1145.35319
Jiang, Lijian; Efendiev, Yalchin; Ginting, Victor
11
2007
Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun
11
2012
Homogenization of nonlinear random parabolic operators. Zbl 1103.35015
Efendiev, Y.; Pankov, A.
9
2005
A generalized convection-diffusion model for subgrid transport in porous media. Zbl 1191.76098
Efendiev, Y.; Durlofsky, L. J.
9
2003
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197
Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke
9
2015
A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105
Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke
9
2015
Upscaling of mixed finite element discretization problems by the spectral AMGe method. Zbl 1348.65165
Kalchev, D. Z.; Lee, C. S.; Villa, U.; Efendiev, Y.; Vassilevski, P. S.
8
2016
Effective equations for fluid-structure interaction with applications to poroelasticity. Zbl 1291.74152
Brown, Donald L.; Popov, Peter; Efendiev, Yalchin
8
2014
Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems. Zbl 1373.76084
Efendiev, Yalchin; Jin, Bangti; Michael, Presho; Tan, Xiaosi
8
2015
Numerical homogenization of monotone elliptic operators. Zbl 1069.65126
Efendiev, Yalchin; Pankov, Alexander
8
2004
Multilevel Monte Carlo approaches for numerical homogenization. Zbl 1328.65010
Efendiev, Yalchin; Kronsbein, Cornelia; Legoll, Frédéric
8
2015
Mixed multiscale finite element methods using approximate global information based on partial upscaling. Zbl 1187.65129
Jiang, Lijian; Efendiev, Yalchin; Mishev, Iiya
6
2010
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. Zbl 1436.76041
Vasilyeva, Maria; Leung, Wing T.; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary
6
2020
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D.
6
2012
A priori estimates for two multiscale finite element methods using multiple global fields to wave equations. Zbl 1251.65131
Jiang, Lijian; Efendiev, Yalchin
6
2012
Individual homogenization of nonlinear parabolic operators. Zbl 1132.35009
Efendiev, Y.; Jiang, L.; Pankov, A.
5
2006
Dynamic data driven simulations in stochastic environments. Zbl 1122.65006
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R.
5
2006
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
A multiscale discontinuous Galerkin method in perforated domains. Zbl 1365.65250
Chung, Eric T.; Efendiev, Yalchin; Vasilyeva, Maria; Wang, Yating
5
2016
Homogenization of Brinkman flows in heterogeneous dynamic media. Zbl 1342.60103
Bessaih, Hakima; Efendiev, Yalchin; Maris, Florian
4
2015
Bayesian and variational Bayesian approaches for flows in heterogeneous random media. Zbl 1378.76116
Yang, Keren; Guha, Nilabja; Efendiev, Yalchin; Mallick, Bani K.
4
2017
Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces. Zbl 1406.76059
Lee, S. H.; Efendiev, Y.
4
2018
A generalized multiscale finite element method for elastic wave propagation in fractured media. Zbl 06648357
Chung, Eric T.; Efendiev, Yalchin; Gibson, Richard L. jun.; Vasilyeva, Maria
4
2016
Mode decomposition methods for flows in high-contrast porous media. A global approach. Zbl 1349.76208
Ghommem, Mehdi; Calo, Victor M.; Efendiev, Yalchin
4
2014
Thermalization of a driven bi-stable FPU chain. Zbl 1234.82005
Efendiev, Yalchin R.; Truskinovsky, Lev
4
2010
A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media. Zbl 1377.65148
Chung, Eric; Efendiev, Yalchin; Shi, Ke; Ye, Shuai
4
2017
Derivation and numerical validation of a homogenized isothermal Li-ion battery model. Zbl 1360.78012
Taralova, Vasilena; Iliev, Oleg; Efendiev, Yalchin
4
2016
Multiscale simulations of porous media flows in flow-based coordinate system. Zbl 1155.76050
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Strinopoulos, T.
3
2008
A dynamic data-driven application simulation framework for contaminant transport problems. Zbl 1152.90331
Douglas, C. C.; Efendiev, Y.
3
2006
Multilevel Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations. Zbl 1393.76063
Efendiev, Y.; Iliev, O.; Kronsbein, C.
3
2013
Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. Zbl 1415.65251
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Zhang, Zhiwen
3
2018
Mini-workshop: Numerical upscaling for media with deterministic and stochastic heterogeneity. Abstracts from the workshop held February 10–16, 2013. Zbl 1349.00152
Efendiev, Yalchin (ed.); Iliev, Oleg (ed.); Vassilevski, Panayot S. (ed.)
3
2013
A variational Bayesian approach for inverse problems with skew-\(t\) error distributions. Zbl 1349.62079
Guha, Nilabja; Wu, Xiaoqing; Efendiev, Yalchin; Jin, Bangti; Mallick, Bani K.
3
2015
A multiscale enrichment procedure for nonlinear monotone operators. Zbl 1312.65207
Efendiev, Y.; Galvis, J.; Presho, M.; Zhou, J.
3
2014
Homogenization of high-contrast Brinkman flows. Zbl 1320.35037
Brown, Donald L.; Efendiev, Yalchin; Li, Guanglian; Savatorova, Viktoria
3
2015
Hydraulic conductivity estimation in partially saturated soils using the adjoint method. Zbl 1120.76364
Santos, J.; Efendiev, Y.; Guarracino, L.
2
2006
On homogenization of nonlinear hyperbolic equations. Zbl 1090.35028
Efendiev, Yalchin; Popov, Bojan
2
2005
Multiscale stabilization for convection-dominated diffusion in heterogeneous media. Zbl 1423.76215
Calo, Victor M.; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
2
2016
Stochastic homogenization for a diffusion-reaction model. Zbl 1415.76516
Bessaih, Hakima; Efendiev, Yalchin; Maris, Razvan Florian
2
2019
Some multiscale results using limited global information for two-phase simulations. Zbl 1329.76176
Jiang, Lijian; Aarnes, Jørge E.; Efendiev, Yalchin
2
2012
Multiscale finite element methods for flows on rough surfaces. Zbl 1373.76083
Efendiev, Yalchin; Galvis, Juan; Pauletti, M. Sebastian
2
2013
Upscaling of transport equations for multiphase and multicomponent flows. Zbl 1359.76292
Ewing, Richard; Efendiev, Yalchin; Ginting, Victor; Wang, Hong
1
2008
Multiscale modeling and simulation of fluid flows in highly deformable porous media. Zbl 1280.76018
Popov, P.; Efendiev, Y.; Gorb, Y.
1
2010
Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition. Zbl 1336.60122
Maris, Florin; Efendiev, Yalchin; Bessaih, Hakima
1
2015
On the homogenization of almost periodic nonlinear parabolic operators. Zbl 1113.35017
Efendiev, Y.; Pankov, A.
1
2005
Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales. Zbl 07340383
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing T.; Vasilyeva, Maria
1
2021
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. Zbl 1436.76041
Vasilyeva, Maria; Leung, Wing T.; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary
6
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
Deep global model reduction learning in porous media flow simulation. Zbl 1434.76121
Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Gildin, Eduardo; Wang, Yating; Zhang, Jingyan
1
2020
Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction. Zbl 1454.76007
Wang, Min; Cheung, Siu Wun; Leung, Wing Tat; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary
1
2020
Deep multiscale model learning. Zbl 1454.76008
Wang, Yating; Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Wang, Min
1
2020
Constraint energy minimizing generalized multiscale finite element method for dual continuum model. Zbl 1460.65119
Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria
1
2020
Constrained energy minimization based upscaling for coupled flow and mechanics. Zbl 1416.76163
Vasilyeva, Maria; Chung, Eric T.; Efendiev, Yalchin; Kim, Jihoon
12
2019
Stochastic homogenization for a diffusion-reaction model. Zbl 1415.76516
Bessaih, Hakima; Efendiev, Yalchin; Maris, Razvan Florian
2
2019
Upscaled model for mixed dimensional coupled flow problem in fractured porous media using non-local multicontinuum (NLMC) method. Zbl 1434.76075
Vasilyeva, Maria; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Wang, Yating
1
2019
Non-local multi-continua upscaling for flows in heterogeneous fractured media. Zbl 1415.76449
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria; Wang, Yating
18
2018
Multiscale model reduction for shale gas transport in poroelastic fractured media. Zbl 1380.76032
Akkutlu, I. Yucel; Efendiev, Yalchin; Vasilyeva, Maria; Wang, Yuhe
16
2018
Fast online generalized multiscale finite element method using constraint energy minimization. Zbl 1380.65366
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
15
2018
Constraint energy minimizing generalized multiscale finite element method. Zbl 1440.65195
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
13
2018
Constraint energy minimizing generalized multiscale finite element method in the mixed formulation. Zbl 1405.76049
Chung, Eric; Efendiev, Yalchin; Leung, Wing Tat
12
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
Hybrid discretization of multi-phase flow in porous media in the presence of viscous, gravitational, and capillary forces. Zbl 1406.76059
Lee, S. H.; Efendiev, Y.
4
2018
Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. Zbl 1415.65251
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Zhang, Zhiwen
3
2018
On overlapping domain decomposition methods for high-contrast multiscale problems. Zbl 1442.65427
Galvis, Juan; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
1
2018
Generalized multiscale finite element methods for space-time heterogeneous parabolic equations. Zbl 1419.65056
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Ye, Shuai
1
2018
Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains. Zbl 1372.65322
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria; Wang, Yating
18
2017
Coupling of multiscale and multi-continuum approaches. Zbl 1456.65107
Chung, Eric T.; Efendiev, Yalchin; Leung, Tat; Vasilyeva, Maria
17
2017
Bayesian and variational Bayesian approaches for flows in heterogeneous random media. Zbl 1378.76116
Yang, Keren; Guha, Nilabja; Efendiev, Yalchin; Mallick, Bani K.
4
2017
A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media. Zbl 1377.65148
Chung, Eric; Efendiev, Yalchin; Shi, Ke; Ye, Shuai
4
2017
Adaptive multiscale model reduction with generalized multiscale finite element methods. Zbl 1349.76191
Chung, Eric; Efendiev, Yalchin; Hou, Thomas Y.
58
2016
Randomized oversampling for generalized multiscale finite element methods. Zbl 1337.65148
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Li, Guanglian
35
2016
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
19
2016
Multiscale model reduction for shale gas transport in fractured media. Zbl 1391.76714
Akkutlu, I. Y.; Efendiev, Yalchin; Vasilyeva, Maria
18
2016
Generalized multiscale finite element methods for problems in perforated heterogeneous domains. Zbl 1457.65189
Chung, Eric T.; Efendiev, Yalchin; Li, Guanglian; Vasilyeva, Maria
11
2016
Upscaling of mixed finite element discretization problems by the spectral AMGe method. Zbl 1348.65165
Kalchev, D. Z.; Lee, C. S.; Villa, U.; Efendiev, Y.; Vassilevski, P. S.
8
2016
A multiscale discontinuous Galerkin method in perforated domains. Zbl 1365.65250
Chung, Eric T.; Efendiev, Yalchin; Vasilyeva, Maria; Wang, Yating
5
2016
A generalized multiscale finite element method for elastic wave propagation in fractured media. Zbl 06648357
Chung, Eric T.; Efendiev, Yalchin; Gibson, Richard L. jun.; Vasilyeva, Maria
4
2016
Derivation and numerical validation of a homogenized isothermal Li-ion battery model. Zbl 1360.78012
Taralova, Vasilena; Iliev, Oleg; Efendiev, Yalchin
4
2016
Multiscale stabilization for convection-dominated diffusion in heterogeneous media. Zbl 1423.76215
Calo, Victor M.; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
2
2016
Comment on article by Chkrebtii, Campbell, Calderhead and Girolami. Zbl 1357.62120
Mallick, Bani K.; Yang, Keren; Guha, Nilabja; Efendiev, Yalchin
1
2016
Mixed generalized multiscale finite element methods and applications. Zbl 1317.65204
Chung, Eric T.; Efendiev, Yalchin; Lee, Chak Shing
42
2015
Residual-driven online generalized multiscale finite element methods. Zbl 1349.65615
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
40
2015
Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media. Zbl 1349.74322
Gao, Kai; Fu, Shubin; Gibson, Richard L.; Chung, Eric T.; Efendiev, Yalchin
16
2015
Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method. Zbl 1338.76052
Efendiev, Yalchin; Lee, Seong; Li, Guanglian; Yao, Jun; Zhang, Na
16
2015
Global-local nonlinear model reduction for flows in heterogeneous porous media. Zbl 1423.76414
Alotaibi, Manal; Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi
13
2015
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197
Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke
9
2015
A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105
Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke
9
2015
Multilevel Markov chain Monte Carlo method for high-contrast single-phase flow problems. Zbl 1373.76084
Efendiev, Yalchin; Jin, Bangti; Michael, Presho; Tan, Xiaosi
8
2015
Multilevel Monte Carlo approaches for numerical homogenization. Zbl 1328.65010
Efendiev, Yalchin; Kronsbein, Cornelia; Legoll, Frédéric
8
2015
Homogenization of Brinkman flows in heterogeneous dynamic media. Zbl 1342.60103
Bessaih, Hakima; Efendiev, Yalchin; Maris, Florian
4
2015
A variational Bayesian approach for inverse problems with skew-\(t\) error distributions. Zbl 1349.62079
Guha, Nilabja; Wu, Xiaoqing; Efendiev, Yalchin; Jin, Bangti; Mallick, Bani K.
3
2015
Homogenization of high-contrast Brinkman flows. Zbl 1320.35037
Brown, Donald L.; Efendiev, Yalchin; Li, Guanglian; Savatorova, Viktoria
3
2015
Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition. Zbl 1336.60122
Maris, Florin; Efendiev, Yalchin; Bessaih, Hakima
1
2015
An adaptive GMsFEM for high-contrast flow problems. Zbl 1354.65242
Chung, Eric T.; Efendiev, Yalchin; Li, Guanglian
47
2014
Generalized multiscale finite element methods for wave propagation in heterogeneous media. Zbl 1315.65085
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat
28
2014
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael
27
2014
Generalized multiscale finite element method for elasticity equations. Zbl 1307.74064
Chung, Eric T.; Efendiev, Yalchin; Fu, Shubin
21
2014
Multiscale empirical interpolation for solving nonlinear PDEs. Zbl 1349.65612
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi
15
2014
Asymptotic expansions for high-contrast elliptic equations. Zbl 1292.35100
Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan
11
2014
Effective equations for fluid-structure interaction with applications to poroelasticity. Zbl 1291.74152
Brown, Donald L.; Popov, Peter; Efendiev, Yalchin
8
2014
Mode decomposition methods for flows in high-contrast porous media. A global approach. Zbl 1349.76208
Ghommem, Mehdi; Calo, Victor M.; Efendiev, Yalchin
4
2014
A multiscale enrichment procedure for nonlinear monotone operators. Zbl 1312.65207
Efendiev, Y.; Galvis, J.; Presho, M.; Zhou, J.
3
2014
Multiscale model reduction with generalized multiscale finite element methods. Zbl 1388.65145
Efendiev, Yalchin
1
2014
Generalized multiscale finite element methods (GMsFEM). Zbl 1349.65617
Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y.
177
2013
Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199
Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M.
27
2013
Mode decomposition methods for flows in high-contrast porous media. Global-local approach. Zbl 1349.76209
Ghommem, Mehdi; Presho, Michael; Calo, Victor M.; Efendiev, Yalchin
23
2013
An efficient hierarchical multiscale finite element method for Stokes equations in slowly varying media. Zbl 1267.74096
Brown, Donald L.; Efendiev, Yalchin; Hoang, Viet Ha
12
2013
Multilevel Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations. Zbl 1393.76063
Efendiev, Y.; Iliev, O.; Kronsbein, C.
3
2013
Mini-workshop: Numerical upscaling for media with deterministic and stochastic heterogeneity. Abstracts from the workshop held February 10–16, 2013. Zbl 1349.00152
Efendiev, Yalchin; Iliev, Oleg; Vassilevski, Panayot S.
3
2013
Multiscale finite element methods for flows on rough surfaces. Zbl 1373.76083
Efendiev, Yalchin; Galvis, Juan; Pauletti, M. Sebastian
2
2013
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
59
2012
A systematic coarse-scale model reduction technique for parameter-dependent flows in highly heterogeneous media and its applications. Zbl 1264.76088
Efendiev, Yalchin; Galvis, Juan; Thomines, Florian
16
2012
Coarse-grid multiscale model reduction techniques for flows in heterogeneous media and applications. Zbl 1245.76152
Efendiev, Yalchin; Galvis, Juan
15
2012
Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun
11
2012
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D.
6
2012
A priori estimates for two multiscale finite element methods using multiple global fields to wave equations. Zbl 1251.65131
Jiang, Lijian; Efendiev, Yalchin
6
2012
Some multiscale results using limited global information for two-phase simulations. Zbl 1329.76176
Jiang, Lijian; Aarnes, Jørge E.; Efendiev, Yalchin
2
2012
Multiscale finite element methods for high-contrast problems using local spectral basis functions. Zbl 1391.76321
Efendiev, Yalchin; Galvis, Juan; Wu, Xiao-Hui
98
2011
A domain decomposition preconditioner for multiscale high-contrast problems. Zbl 1217.65221
Efendiev, Yalchin; Galvis, Juan
19
2011
An energy-conserving discontinuous multiscale finite element method for the wave equation in heterogeneous media. Zbl 1263.74048
Chung, Eric T.; Efendiev, Yalchin; Gibson jun., Richard L.
16
2011
Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients. Zbl 1217.65222
Efendiev, Yalchin; Galvis, Juan; Vassilevski, Panayot S.
14
2011
Mixed multiscale finite element analysis for wave equations using Global information. Zbl 1220.65136
Jiang, Lijian; Efendiev, Yalchin
1
2011
Domain decomposition preconditioners for multiscale flows in high-contrast media. Zbl 1206.76042
Galvis, Juan; Efendiev, Yalchin
97
2010
Domain decomposition preconditioners for multiscale flows in high contrast media: reduced dimension coarse spaces. Zbl 1381.65029
Galvis, Juan; Efendiev, Yalchin
82
2010
Analysis of global multiscale finite element methods for wave equations with continuum spatial scales. Zbl 1205.65270
Jiang, Lijian; Efendiev, Yalchin; Ginting, Victor
14
2010
Reduced-contrast approximations for high-contrast multiscale flow problems. Zbl 1211.35073
Chung, Eric T.; Efendiev, Yalchin
14
2010
Mixed multiscale finite element methods using approximate global information based on partial upscaling. Zbl 1187.65129
Jiang, Lijian; Efendiev, Yalchin; Mishev, Iiya
6
2010
Thermalization of a driven bi-stable FPU chain. Zbl 1234.82005
Efendiev, Yalchin R.; Truskinovsky, Lev
4
2010
Multiscale modeling and simulation of fluid flows in highly deformable porous media. Zbl 1280.76018
Popov, P.; Efendiev, Y.; Gorb, Y.
1
2010
Multiscale finite element methods. Theory and applications. Zbl 1163.65080
Efendiev, Yalchin; Hou, Thomas Y.
255
2009
Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Zbl 1364.76225
Popov, Peter; Efendiev, Yalchin; Qin, Guan
20
2009
Mixed multiscale finite element methods for stochastic porous medium flows. Zbl 1171.76022
Aarnes, J. E.; Efendiev, Y.
30
2008
Mixed multiscale finite element methods using limited global information. Zbl 1277.76036
Aarnes, J. E.; Efendiev, Y.; Jiang, L.
21
2008
Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification. Zbl 1194.76112
Dostert, P.; Efendiev, Y.; Hou, T. Y.
20
2008
Multiscale simulations of porous media flows in flow-based coordinate system. Zbl 1155.76050
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Strinopoulos, T.
3
2008
Upscaling of transport equations for multiphase and multicomponent flows. Zbl 1359.76292
Ewing, Richard; Efendiev, Yalchin; Ginting, Victor; Wang, Hong
1
2008
Modified Markov chain Monte Carlo method for dynamic data integration using streamline approach. Zbl 1143.86001
Efendiev, Yalchin; Datta-Gupta, Akhil; Ma, Xianlin; Mallick, Bani
1
2008
Multiscale finite element methods for porous media flows and their applications. Zbl 1112.76046
Efendiev, Yalchin R.; Hou, Thomas Yizhao
33
2007
Multiscale methods for parabolic equations with continuum spatial scales. Zbl 1145.35319
Jiang, Lijian; Efendiev, Yalchin; Ginting, Victor
11
2007
Accurate multiscale finite element methods for two-phase flow simulations. Zbl 1158.76349
Efendiev, Y.; Ginting, V.; Hou, T.; Ewing, R.
81
2006
Preconditioning Markov chain Monte Carlo simulations using coarse-scale models. Zbl 1111.65003
Efendiev, Yalchin R.; Hou, Thomas Yizhao; Luo, Wu An
43
2006
Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification. Zbl 1146.76637
Dostert, P.; Efendiev, Y.; Hou, T. Y.; Luo, W.
16
2006
An adaptive multiscale method for simulation of fluid flow in heterogeneous porous media. Zbl 1205.76156
Aarnes, Jørg E.; Efendiev, Yalchin
11
2006
Individual homogenization of nonlinear parabolic operators. Zbl 1132.35009
Efendiev, Y.; Jiang, L.; Pankov, A.
5
2006
Dynamic data driven simulations in stochastic environments. Zbl 1122.65006
Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R.
5
2006
...and 16 more Documents
all top 5

Cited by 1,078 Authors

81 Chung, Tsz Shun Eric
61 Efendiev, Yalchin R.
28 Vasilyeva, Maria V.
23 Leung, Wingtat
21 Abdulle, Assyr
21 Galvis, Juan
20 Hajibeygi, Hadi
20 Jiang, Lijian
18 Hou, Thomas Yizhao
15 Fu, Shubin
13 Ohlberger, Mario
12 Tchelepi, Hamdi A.
11 Cui, Junzhi
11 Ginting, Victor
11 Kim, Hyea Hyun
11 Klawonn, Axel
11 Presho, Michael
11 Wheeler, Mary Fanett
10 Calo, Victor Manuel
10 Li, Guanglian
9 Cheung, Siu Wun
9 Henning, Patrick
9 Hoang, Viet Ha
9 Jenny, Patrick
9 Lazarov, Raytcho D.
9 Lee, Chak Shing
9 Rheinbach, Oliver
9 Valentin, Frédéric
9 Vassilevski, Panayot Spirov
8 Babuška, Ivo
8 Brown, Donald L.
8 Pun, Saimang
8 Spillane, Nicole
8 Wang, Yating
7 Heinlein, Alexander
7 Le Bris, Claude
7 Legoll, Frédéric
7 Li, Qin
7 Marcinkowski, Leszek
7 Peterseim, Daniel
7 Rahman, Talal
7 Scheichl, Robert
7 Zhang, Zhiwen
6 Deng, Weibing
6 Iliev, Oleg P.
6 Nataf, Frédéric
6 Owhadi, Houman
6 Sarkis, Marcus V.
6 Shi, Ke
6 Spiridonov, Denis
6 Wang, Junxian
6 Xu, Jinchao
6 Zabaras, Nicholas J.
5 Abreu, Eduardo
5 Dolean, Victorita
5 Durlofsky, Louis J.
5 He, Wenming
5 Huang, ZhaoQin
5 Kuhn, Martin
5 Li, Qiuqi
5 Lie, Knut-Andreas
5 Lin, Guang
5 Madureira, Alexandre L.
5 Marzouk, Youssef M.
5 Paredes, Diego
5 Svanstedt, Nils E. M.
5 Vilmart, Gilles
5 Wang, Yuhe
5 Yao, Jun
5 Yotov, Ivan
4 Budáč, Ondrej
4 Cao, Liqun
4 Cusini, Matteo
4 Dong, Hao
4 Gao, Kai
4 Ghommem, Mehdi
4 Gunzburger, Max D.
4 Harder, Christopher
4 Li, Jichun
4 Lin, Tao
4 Loneland, Atle
4 Lozinski, Alexei
4 Lu, Jianfeng
4 Mai, Tina
4 Moon, Minam
4 Muntean, Adrian
4 Nordbotten, Jan Martin
4 Ou, Na
4 Popov, Peter
4 Rohan, Eduard
4 Sango, Mamadou
4 Sun, Shuyu
4 Ţene, Matei
4 Wang, Yixuan
4 Woukeng, Jean Louis
4 Yang, Yanfang
4 Yue, Xingye
4 Zhang, Hongwu
4 Zhang, Na
4 Zhang, Pengchuan
...and 978 more Authors
all top 5

Cited in 115 Serials

127 Journal of Computational Physics
100 Journal of Computational and Applied Mathematics
66 Computer Methods in Applied Mechanics and Engineering
57 Multiscale Modeling & Simulation
53 Computational Geosciences
24 SIAM Journal on Scientific Computing
22 Computers & Mathematics with Applications
19 Journal of Scientific Computing
13 Applied Mathematics and Computation
10 Mathematics of Computation
10 International Journal for Numerical Methods in Engineering
10 Numerische Mathematik
9 SIAM Journal on Numerical Analysis
9 Applied Numerical Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Computational Mechanics
8 GEM - International Journal on Geomathematics
7 Journal of Mathematical Analysis and Applications
7 Numerical Methods for Partial Differential Equations
7 ETNA. Electronic Transactions on Numerical Analysis
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Applicable Analysis
6 Mathematical Geosciences
5 BIT
5 Applied Mathematical Modelling
5 Advances in Computational Mathematics
5 Discrete and Continuous Dynamical Systems. Series S
5 SIAM/ASA Journal on Uncertainty Quantification
4 Journal of Fluid Mechanics
4 Mathematics and Computers in Simulation
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Numerical Linear Algebra with Applications
4 Computational Methods in Applied Mathematics
3 Archive for Rational Mechanics and Analysis
3 SIAM Journal on Matrix Analysis and Applications
3 SIAM Review
3 Mathematical Problems in Engineering
3 Computing and Visualization in Science
3 Archives of Computational Methods in Engineering
3 Foundations of Computational Mathematics
3 Journal of Numerical Mathematics
3 Networks and Heterogeneous Media
2 Computers and Fluids
2 Journal of Engineering Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Chinese Annals of Mathematics. Series B
2 Applications of Mathematics
2 Communications in Partial Differential Equations
2 International Journal of Computer Mathematics
2 SIAM Journal on Mathematical Analysis
2 Journal of Mathematical Imaging and Vision
2 Continuum Mechanics and Thermodynamics
2 Communications in Numerical Methods in Engineering
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Central European Journal of Mathematics
2 Acta Mechanica Sinica
2 Research in the Mathematical Sciences
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Computer Physics Communications
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Calcolo
1 Computing
1 Journal of the Korean Mathematical Society
1 Journal of Statistical Planning and Inference
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 European Journal of Applied Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Elasticity
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Computational Statistics and Data Analysis
1 Complexity
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 Science in China. Series E
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 European Journal of Mechanics. B. Fluids
1 The ANZIAM Journal
1 Stochastics and Dynamics
1 Quantum Information Processing
1 International Journal of Computational Methods
1 Journal of Hyperbolic Differential Equations
1 Acta Numerica
...and 15 more Serials
all top 5

Cited in 35 Fields

569 Numerical analysis (65-XX)
301 Fluid mechanics (76-XX)
297 Partial differential equations (35-XX)
161 Mechanics of deformable solids (74-XX)
44 Geophysics (86-XX)
42 Statistics (62-XX)
37 Probability theory and stochastic processes (60-XX)
20 Optics, electromagnetic theory (78-XX)
19 Computer science (68-XX)
15 Classical thermodynamics, heat transfer (80-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
11 Biology and other natural sciences (92-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 Systems theory; control (93-XX)
6 Dynamical systems and ergodic theory (37-XX)
4 Ordinary differential equations (34-XX)
4 Operations research, mathematical programming (90-XX)
4 Information and communication theory, circuits (94-XX)
3 Potential theory (31-XX)
3 Functional analysis (46-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)

Citations by Year