×

zbMATH — the first resource for mathematics

Karniadakis, George Em

Compute Distance To:
Author ID: karniadakis.george-em Recent zbMATH articles by "Karniadakis, George Em"
Published as: Em Karniadakis, George; Karniadakis, G. E.; Karniadakis, George; Karniadakis, George E.; Karniadakis, George Em; Karniadakis, George Em.
Homepage: https://www.brown.edu/research/projects/crunch/george-karniadakis
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 282 Publications since 1986, including 10 Books
all top 5

Co-Authors

6 single-authored
16 Wan, Xiaoliang
15 Venturi, Daniele
14 Sherwin, Spencer J.
14 Zayernouri, Mohsen
14 Zhang, Zhongqiang
12 Perdikaris, Paris G.
12 Xiu, Dongbin
11 Mao, Zhiping
11 Zeng, Fanhai
9 Kirby, Robert M. II
9 Lucor, Didier
9 Raissi, Maziar
9 Song, Fangying
9 Su, Chau-Hsing
9 Triantafyllou, Michael S.
8 Caswell, Bruce
8 Dong, Suchuan
8 Li, Zhen
8 Lin, Guang
7 Evangelinos, Constantinos
7 Grinberg, Leopold
7 Lomtev, Igor
7 Maxey, Martin R.
7 Orszag, Steven Alan
7 Rozovskii, Boris L.
6 Cho, Heyrim
6 Choi, Minseok
6 Fedosov, Dmitry A.
6 Giannakouros, John G.
6 Pang, Guofei
6 Sirisup, Sirod
6 Yu, Yue
5 Cai, Wei
5 Deng, Mingge
5 Henderson, Ronald D.
5 Ma, Xia
5 Sidilkover, David
5 Wang, Zhi Cheng
5 Warburton, Timothy C. E.
5 Zhang, Dongkun
4 Babaee, Hessam
4 Baek, Hyoungsu
4 Bian, Xin
4 Bittencourt, Marco Lúcio
4 Cao, Wanrong
4 Constantinides, Yiannis
4 Kharazmi, Ehsan
4 Lei, Huan
4 Sapsis, Themistoklis P.
4 Symeonidis, Vasileios
4 Tang, Yuhang
4 Xu, Jin
4 Yang, Xiu
3 Ainsworth, Mark
3 Beskok, Ali
3 Foo, Jasmine
3 Guo, Ling
3 Jagtap, Ameya D.
3 Kevrekidis, Ioannis George
3 Kim, Changho
3 Lu, Lu
3 Patera, Anthony T.
3 Rockwell, Donald
3 Shu, Chi-Wang
3 Tretyakov, Michael V.
3 Triantafyllou, George S.
3 Zhang, Zhijiang
3 Zheng, Mengdi
2 Batcho, Paul F.
2 Bourguet, Rémi
2 Burrage, Kevin
2 Chryssostomidis, C.
2 Cockburn, Bernardo
2 Du, Yiqing
2 Gharib, Morteza
2 Gulian, Mamikon
2 Kaiktsis, Lambros
2 Karamanos, G.-S.
2 Li, Xianjuan
2 Li, Xuejin
2 Lischke, Anna
2 Liu, Dong
2 Liu, Wing Kam
2 Luo, Xian
2 Meng, Xuhui
2 Newman, David J.
2 Park, Hayeon
2 Pivkin, Igor V.
2 Rønquist, Einar M.
2 Tang, Shaoqiang
2 Tartakovsky, Daniel M.
2 Turner, Ian William
2 Wang, Hong
2 Wang, Nan
2 Xu, Chuanju
2 Yazdani, Alireza
2 Yosibash, Zohar
2 Yvonnet, Julien
2 Zhao, Xuan
2 Zheng, Xiaoning
...and 77 more Co-Authors
all top 5

Serials

83 Journal of Computational Physics
36 SIAM Journal on Scientific Computing
32 Computer Methods in Applied Mechanics and Engineering
27 Journal of Fluid Mechanics
7 International Journal for Numerical Methods in Engineering
7 Journal of Scientific Computing
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 SIAM Journal on Numerical Analysis
3 International Journal for Numerical Methods in Fluids
3 Applied Numerical Mathematics
3 Computational Mechanics
3 Communications in Computational Physics
3 Numerical Mathematics and Scientific Computation
2 Computers and Fluids
2 International Journal of Heat and Mass Transfer
2 Proceedings of the National Academy of Sciences of the United States of America
2 European Journal of Mechanics. B. Fluids
2 Multiscale Modeling & Simulation
1 Computers & Mathematics with Applications
1 Computers and Structures
1 Journal of Engineering Mathematics
1 Journal of Statistical Physics
1 Physics of Fluids, A
1 Fluid Dynamics Research
1 Theoretical and Computational Fluid Dynamics
1 Chaos, Solitons and Fractals
1 Bulletin of the Polish Academy of Sciences. Technical Sciences
1 Numerische Mathematik
1 Physica D
1 Journal of Non-Newtonian Fluid Mechanics
1 SIAM Review
1 Physics of Fluids
1 Electronic Journal of Differential Equations (EJDE)
1 Parallel Algorithms and Applications
1 Fractional Calculus & Applied Analysis
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Flow, Turbulence and Combustion
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Applied Mathematical Sciences
1 Interdisciplinary Applied Mathematics
1 Lecture Notes in Computational Science and Engineering
1 Journal of Theoretical Biology
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Handbook of Fractional Calculus with Applications
1 Communications on Applied Mathematics and Computation

Publications by Year

Citations contained in zbMATH

243 Publications have been cited 6,909 times in 4,089 Documents Cited by Year
The Wiener–Askey polynomial chaos for stochastic differential equations. Zbl 1014.65004
Xiu, Dongbin; Karniadakis, George Em
672
2002
High-order splitting methods for the incompressible Navier-Stokes equations. Zbl 0738.76050
Karniadakis, George Em; Israeli, Moshe; Orszag, Steven A.
370
1991
Spectral/\(hp\) element methods for computational fluid dynamics. 2nd ed. Zbl 1116.76002
Karniadakis, George Em; Sherwin, Spencer J.
317
2005
Spectral/hp element methods for CFD. Zbl 0954.76001
Karniadakis, George Em; Sherwin, Spencer J.
292
1999
The development of discontinuous Galerkin methods. Zbl 0989.76045
Cockburn, Bernardo; Karniadakis, George E.; Shu, Chi-Wang
284
2000
Modeling uncertainty in flow simulations via generalized polynomial chaos. Zbl 1047.76111
Xiu, Dongbin; Karniadakis, George Em
241
2003
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations. Zbl 1078.65008
Wan, Xiaoliang; Karniadakis, George Em
153
2005
Microflows and nanoflows. Fundamentals and simulation. Foreword by Chih-Ming Ho. Zbl 1115.76003
Karniadakis, George; Beskok, Ali; Narayan, Aluru
145
2005
Multi-element generalized polynomial chaos for arbitrary probability measures. Zbl 1128.65009
Wan, Xiaoliang; Karniadakis, George Em
133
2006
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos. Zbl 1016.65001
Xiu, Dongbin; Karniadakis, George Em
124
2002
Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders. Zbl 0746.76021
Deane, A. E.; Kevrekidis, I. G.; Karniadakis, G. E.; Orszag, S. A.
118
1991
Fractional spectral collocation method. Zbl 1294.65097
Zayernouri, Mohsen; Karniadakis, George Em
103
2014
Fractional Sturm-Liouville eigen-problems: theory and numerical approximation. Zbl 1349.34095
Zayernouri, Mohsen; Karniadakis, George Em
98
2013
A spectral vanishing viscosity method for large eddy simulations. Zbl 0984.76036
Karamanos, G. S.; Karniadakis, G. E.
82
2000
Spectral/\(hp\) element methods for computational fluid dynamics. Reprint of the 2nd hardback ed. (2005). Zbl 1256.76003
Karniadakis, George Em; Sherwin, Spencer J.
79
2013
Fractional spectral collocation methods for linear and nonlinear variable order FPDEs. Zbl 1349.65531
Zayernouri, Mohsen; Karniadakis, George Em
75
2015
Exponentially accurate spectral and spectral element methods for fractional ODEs. Zbl 1349.65257
Zayernouri, Mohsen; Karniadakis, George Em
75
2014
A semi-Lagrangian high-order method for Navier-Stokes equations. Zbl 1028.76026
Xiu, Dongbin; Karniadakis, George Em
75
2001
Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24–26, 1999. Zbl 0935.00043
Cockburn, Bernardo (ed.); Karniadakis, George E. (ed.); Shu, Chi-Wang (ed.)
74
2000
The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications. Zbl 1153.65008
Foo, Jasmine; Wan, Xiaoliang; Karniadakis, George Em
72
2008
A spectral viscosity method for correcting the long-term behavior of POD models. Zbl 1136.76412
Sirisup, S.; Karniadakis, G. E.
72
2004
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
70
2015
A triangular spectral element method; applications to the incompressible Navier-Stokes equations. Zbl 1075.76621
Sherwin, S. J.; Karniadakis, G. E.
70
1995
Three-dimensional dynamics and transition to turbulence in the wake of bluff objects. Zbl 0754.76043
Karniadakis, George Em; Triantafyllou, George S.
66
1992
Multi-element probabilistic collocation method in high dimensions. Zbl 1181.65014
Foo, Jasmine; Karniadakis, George Em
65
2010
A low-dimensional model for simulating three-dimensional cylinder flow. Zbl 1001.76043
Ma, Xia; Karniadakis, George Em
65
2002
A new triangular and tetrahedral basis for high-order \((hp)\) finite element methods. Zbl 0837.73075
Sherwin, Spencer J.; Karniadakis, George Em.
62
1995
Hidden physics models: machine learning of nonlinear partial differential equations. Zbl 1381.68248
Raissi, Maziar; Karniadakis, George Em
55
2018
A unified Petrov-Galerkin spectral method for fractional PDEs. Zbl 1425.65127
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em.
53
2015
Micro flows. Fundamentals and simulation. Zbl 0998.76002
Karniadakis, George Em; Beskok, Ali
52
2002
Long-term behavior of polynomial chaos in stochastic flow simulations. Zbl 1123.76058
Wan, Xiaoliang; Karniadakis, George Em
51
2006
De-aliasing on non-uniform grids: algorithms and applications. Zbl 1161.76534
Kirby, Robert M.; Karniadakis, George Em
51
2003
Discontinuous spectral element methods for time- and space-fractional advection equations. Zbl 1304.35757
Zayernouri, Mohsen; Karniadakis, George Em
47
2014
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. Zbl 1415.68175
Raissi, M.; Perdikaris, P.; Karniadakis, G. E.
46
2019
Frequency selection and asymptotic states in laminar wakes. Zbl 0659.76043
Karniadakis, George Em; Triantafyllou, George S.
46
1989
Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step. Zbl 0728.76057
Kaiktsis, Lambros; Karniadakis, George Em; Orszag, Steven A.
44
1991
A new stochastic approach to transient heat conduction modeling with uncertainty. Zbl 1038.80003
Xiu, Dongbin; Karniadakis, George Em
41
2003
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows. Zbl 1408.76428
Yang, Xiu; Choi, Minseok; Lin, Guang; Karniadakis, George Em
40
2012
Dynamics and low-dimensionality of a turbulent near wake. Zbl 0987.76041
Ma, X.; Karamanos, G.-S.; Karniadakis, G. E.
40
2000
A discontinuous Galerkin ALE method for compressible viscous flows in moving domains. Zbl 0956.76046
Lomtev, I.; Kirby, R. M.; Karniadakis, G. E.
39
1999
Tetrahedral spectral elements for CFD. Zbl 0857.76044
Sherwin, S. J.; Karniadakis, G. E.
39
1995
Machine learning of linear differential equations using Gaussian processes. Zbl 1380.68339
Raissi, Maziar; Perdikaris, Paris; Karniadakis, George Em
38
2017
Inferring solutions of differential equations using noisy multi-fidelity data. Zbl 1382.65229
Raissi, Maziar; Perdikaris, Paris; Karniadakis, George Em
38
2017
Reweighted \(\ell_1\) minimization method for stochastic elliptic differential equations. Zbl 1349.60113
Yang, Xiu; Karniadakis, George Em
38
2013
Time-dependent generalized polynomial chaos. Zbl 1201.65216
Gerritsma, Marc; van der Steen, Jan-Bart; Vos, Peter; Karniadakis, George
37
2010
A combined direct numerical simulation–particle image velocimetry study of the turbulent near wake. Zbl 1177.76156
Dong, S.; Karniadakis, G. E.; Ekmekci, A.; Rockwell, D.
37
2006
Spectral polynomial chaos solutions of the stochastic advection equation. Zbl 1001.76084
Jardak, M.; Su, C.-H.; Karniadakis, G. E.
36
2002
A discontinuous Galerkin method for the viscous MHD equations. Zbl 0954.76051
Warburton, T. C.; Karniadakis, G. E.
36
1999
A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations. Zbl 1339.65197
Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em
35
2015
Beyond Wiener-Askey expansions: handling arbitrary PDFs. Zbl 1102.65006
Wan, Xiaoliang; Karniadakis, George Em
35
2006
Unstructured spectral element methods for simulation of turbulent flows. Zbl 0840.76070
Henderson, Ronald D.; Karniadakis, George Em
33
1995
Spectral element-Fourier methods for incompressible turbulent flows. Zbl 0722.76053
Karniadakis, G. E.
33
1990
A direct numerical simulation study of flow past a freely vibrating cable. Zbl 0901.76062
Newman, David J.; Karniadakis, George Em
31
1997
A spectral method (of exponential convergence) for singular solutions of the diffusion equation with general two-sided fractional derivative. Zbl 1422.65428
Mao, Zhiping; Karniadakis, George Em
30
2018
Tempered fractional Sturm-Liouville eigenproblems. Zbl 1323.34012
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em
30
2015
A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains. Zbl 1349.76569
Dong, S.; Karniadakis, G. E.; Chryssostomidis, C.
30
2014
Mechanisms of transverse motions in turbulent wall flows. Zbl 1039.76028
Karniadakis, G. E.; Choi, Kwing-So
30
2003
Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step. Zbl 0875.76111
Kaiktsis, Lambros; Karniadakis, George Em; Orszag, Steven A.
30
1996
Tetrahedral \(hp\) finite elements: Algorithms and flow simulations. Zbl 0847.76038
Sherwin, S. J.; Karniadakis, G. E.
29
1996
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations. Zbl 1352.65278
Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em
27
2016
Spectral and discontinuous spectral element methods for fractional delay equations. Zbl 1314.34159
Zayernouri, Mohsen; Cao, Wanrong; Zhang, Zhongqiang; Karniadakis, George Em
27
2014
Spectral/hp methods for viscous compressible flows on unstructured 2D meshes. Zbl 0929.76095
Lomtev, I.; Quillen, C. B.; Karniadakis, G. E.
27
1998
A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations. Zbl 1423.76102
Song, Fangying; Xu, Chuanju; Karniadakis, George Em
25
2016
Basis functions for triangular and quadrilateral high-order elements. Zbl 0930.35016
Warburton, T. C.; Sherwin, S. J.; Karniadakis, G. E.
25
1999
Numerical Gaussian processes for time-dependent and nonlinear partial differential equations. Zbl 1386.65030
Raissi, Maziar; Perdikaris, Paris; Karniadakis, George Em
24
2018
Petrov-Galerkin and spectral collocation methods for distributed order differential equations. Zbl 1367.65113
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em
24
2017
Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions. Zbl 1355.65104
Cao, Wanrong; Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em
24
2016
Equation-free/Galerkin-free POD-assisted computation of incompressible flows. Zbl 1213.76146
Sirisup, Sirod; Karniadakis, George Em; Xiu, Dongbin; Kevrekidis, Ioannis G.
24
2005
A new method to impose no-slip boundary conditions in dissipative particle dynamics. Zbl 1177.76325
Pivkin, Igor V.; Karniadakis, George Em
24
2005
Drag reduction in wall-bounded turbulence via a transverse travelling wave. Zbl 1112.76373
Du, Yiqing; Symeonidis, V.; Karniadakis, G. E.
24
2002
A discontinuous Galerkin method for the Navier-Stokes equations. Zbl 0951.76041
Lomtev, Igor; Karniadakis, George Em
24
1999
Systematic coarse-graining of spectrin-level red blood cell models. Zbl 1231.74311
Fedosov, Dmitry A.; Caswell, Bruce; Karniadakis, George Em
23
2010
Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations. Zbl 0983.76029
Evangelinos, Constantinos; Karniadakis, George Em
23
1999
Spectral element simulations of laminar and turbulent flows in complex geometries. Zbl 0678.76050
Karniadakis, George Em
23
1989
Generalized polynomial chaos and random oscillators. Zbl 1060.70515
Lucor, D.; Su, C.-H.; Karniadakis, G. E.
22
2004
Galerkin and discontinuous Galerkin spectral/\(hp\) methods. Zbl 0924.76078
Warburton, T. C.; Lomtev, I.; Du, Y.; Sherwin, S. J.; Karniadakis, G. E.
22
1999
A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities. Zbl 1431.65193
Zeng, Fanhai; Mao, Zhiping; Karniadakis, George Em
21
2017
Optimal error estimates of spectral Petrov-Galerkin and collocation methods for initial value problems of fractional differential equations. Zbl 1326.65100
Zhang, Zhongqiang; Zeng, Fanhai; Karniadakis, George Em
21
2015
Stability and accuracy of periodic flow solutions obtained by a POD-penalty method. Zbl 1070.35024
Sirisup, S.; Karniadakis, G. E.
20
2005
Exact PDF equations and closure approximations for advective-reactive transport. Zbl 1349.35068
Venturi, D.; Tartakovsky, D. M.; Tartakovsky, A. M.; Karniadakis, G. E.
19
2013
A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping. Zbl 1426.76496
Baek, Hyoungsu; Karniadakis, George Em
19
2012
Spectral element methods for elliptic problems in nonsmooth domains. Zbl 0844.65082
Pathria, D.; Karniadakis, G. E.
19
1995
Three-dimensionality effects in flow around two tandem cylinders. Zbl 1156.76370
Papaioannou, Georgios V.; Yue, Dick K. P.; Triantafyllou, Michael S.; Karniadakis, George E.
18
2006
Gappy data and reconstruction procedures for flow past a cylinder. Zbl 1065.76159
Venturi, Daniele; Karniadakis, George Em
18
2004
Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder. Zbl 1146.76018
Venturi, Daniele; Wan, Xiaoliang; Karniadakis, George Em
17
2008
Adaptive generalized polynomial chaos for nonlinear random oscillators. Zbl 1075.65008
Lucor, D.; Karniadakis, G. E.
17
2004
Spectral distributed Lagrange multiplier method: algorithm and benchmark tests. Zbl 1115.76349
Dong, Suchuan; Liu, Dong; Maxey, Martin R.; Karniadakis, George Em
17
2004
DPIV-driven flow simulation: a new computational paradigm. Zbl 1116.76413
Ma, X.; Karniadakis, G. E.; Park, H.; Gharib, M.
17
2003
Generalized fictitious methods for fluid-structure interactions: analysis and simulations. Zbl 1349.76577
Yu, Yue; Baek, Hyoungsu; Karniadakis, George Em
16
2013
Predicting shock dynamics in the presence of uncertainties. Zbl 1146.76613
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
16
2006
The stochastic piston problem. Zbl 1135.76334
Lin, Guang; Su, Chau-Hsing; Karniadakis, G. E.
16
2004
Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling. Zbl 1407.62252
Perdikaris, P.; Raissi, M.; Damianou, A.; Lawrence, N. D.; Karniadakis, G. E.
15
2017
Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems. Zbl 1371.60119
Venturi, D.; Karniadakis, G. E.
15
2014
Smoothed profile method for particulate flows: error analysis and simulations. Zbl 1409.76102
Luo, Xian; Maxey, Martin R.; Karniadakis, George Em
15
2009
Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization. Zbl 1419.62499
Pang, Guofei; Perdikaris, Paris; Cai, Wei; Karniadakis, George Em
14
2017
Computing fractional Laplacians on complex-geometry domains: algorithms and simulations. Zbl 1380.65357
Song, Fangying; Xu, Chuanju; Karniadakis, George Em
14
2017
A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems. Zbl 1365.92023
Venturi, D.; Sapsis, T. P.; Cho, H.; Karniadakis, G. E.
14
2012
Stochastic bifurcation analysis of Rayleigh-Bénard convection. Zbl 1189.76213
Venturi, Daniele; Wan, Xiaoliang; Karniadakis, George Em
14
2010
Supersensitivity due to uncertain boundary conditions. Zbl 1075.76623
Xiu, Dongbin; Karniadakis, George Em
14
2004
Numerical simulation of turbulent drag reduction using micro-bubbles. Zbl 1035.76052
Xu, Jin; Maxey, Martin R.; Karniadakis, George Em
14
2002
Physics-informed neural networks for high-speed flows. Zbl 1442.76092
Mao, Zhiping; Jagtap, Ameya D.; Karniadakis, George Em
3
2020
Physics-informed generative adversarial networks for stochastic differential equations. Zbl 1440.60065
Yang, Liu; Zhang, Dongkun; Karniadakis, George Em
3
2020
What is the fractional Laplacian? A comparative review with new results. Zbl 1453.35179
Lischke, Anna; Pang, Guofei; Gulian, Mamikon; Song, Fangying; Glusa, Christian; Zheng, Xiaoning; Mao, Zhiping; Cai, Wei; Meerschaert, Mark M.; Ainsworth, Mark; Karniadakis, George Em
2
2020
Learning in modal space: solving time-dependent stochastic PDEs using physics-informed neural networks. Zbl 1440.60067
Zhang, Dongkun; Guo, Ling; Karniadakis, George Em
2
2020
A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation. Zbl 1442.65144
Li, Xianjuan; Mao, Zhiping; Wang, Nan; Song, Fangying; Wang, Hong; Karniadakis, George Em
1
2020
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. Zbl 1415.68175
Raissi, M.; Perdikaris, P.; Karniadakis, G. E.
46
2019
Deep learning of vortex-induced vibrations. Zbl 1415.76177
Raissi, Maziar; Wang, Zhicheng; Triantafyllou, Michael S.; Karniadakis, George Em
10
2019
FPINNs: fractional physics-informed neural networks. Zbl 1420.35459
Pang, Guofei; Lu, Lu; Karniadakis, George Em
5
2019
Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations. Zbl 1440.65258
Zhao, Tinggang; Mao, Zhiping; Karniadakis, George Em
3
2019
Fractional Gray-Scott model: well-posedness, discretization, and simulations. Zbl 1440.35344
Wang, Tingting; Song, Fangying; Wang, Hong; Karniadakis, George Em
3
2019
Efficient multistep methods for tempered fractional calculus: algorithms and simulations. Zbl 07099350
Guo, Ling; Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
3
2019
An entropy-viscosity large eddy simulation study of turbulent flow in a flexible pipe. Zbl 1415.76369
Wang, Zhicheng; Triantafyllou, Michael S.; Constantinides, Yiannis; Karniadakis, George Em
3
2019
Machine learning of space-fractional differential equations. Zbl 1419.35209
Gulian, Mamikon; Raissi, Maziar; Perdikaris, Paris; Karniadakis, George
2
2019
Mapping the properties of the vortex-induced vibrations of flexible cylinders in uniform oncoming flow. Zbl 1430.76091
Fan, Dixia; Wang, Zhicheng; Triantafyllou, Michael S.; Karniadakis, George Em
1
2019
A computational mechanics special issue on: data-driven modeling and simulation – theory, methods, and applications. Zbl 07095663
Liu, Wing Kam (ed.); Karniadakis, George (ed.); Tang, Shaoqiang (ed.); Yvonnet, Julien (ed.)
1
2019
Fractional magneto-hydrodynamics: algorithms and applications. Zbl 1416.76127
Song, Fangying; Karniadakis, George Em
1
2019
Numerical methods. Zbl 1410.65001
Karniadakis, George Em (ed.)
1
2019
Hidden physics models: machine learning of nonlinear partial differential equations. Zbl 1381.68248
Raissi, Maziar; Karniadakis, George Em
55
2018
A spectral method (of exponential convergence) for singular solutions of the diffusion equation with general two-sided fractional derivative. Zbl 1422.65428
Mao, Zhiping; Karniadakis, George Em
30
2018
Numerical Gaussian processes for time-dependent and nonlinear partial differential equations. Zbl 1386.65030
Raissi, Maziar; Perdikaris, Paris; Karniadakis, George Em
24
2018
A Riesz basis Galerkin method for the tempered fractional Laplacian. Zbl 1402.65120
Zhang, Zhijiang; Deng, Weihua; Karniadakis, George Em
10
2018
A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations. Zbl 1404.65105
Zeng, Fanhai; Turner, Ian; Burrage, Kevin; Karniadakis, George Em
4
2018
A partitioned coupling framework for peridynamics and classical theory: analysis and simulations. Zbl 1440.74045
Yu, Yue; Bargos, Fabiano F.; You, Huaiqian; Parks, Michael L.; Bittencourt, Marco L.; Karniadakis, George E.
3
2018
Multi-fidelity optimization of super-cavitating hydrofoils. Zbl 1439.74256
Bonfiglio, L.; Perdikaris, P.; Brizzolara, S.; Karniadakis, G. E.
3
2018
A dissipative particle dynamics method for arbitrarily complex geometries. Zbl 1380.76123
Li, Zhen; Bian, Xin; Tang, Yu-Hang; Karniadakis, George Em
3
2018
A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems. Zbl 1410.76320
Wang, Zhicheng; Triantafyllou, Michael S.; Constantinides, Yiannis; Karniadakis, George Em
2
2018
Stochastic domain decomposition via moment minimization. Zbl 1391.60167
Zhang, Dongkun; Babaee, Hessam; Karniadakis, George Em
2
2018
A computational stochastic methodology for the design of random meta-materials under geometric constraints. Zbl 1398.60073
Tsantili, Ivi C.; Cho, Min Hyung; Cai, Wei; Karniadakis, George Em
2
2018
Active learning of constitutive relation from mesoscopic dynamics for macroscopic modeling of non-Newtonian flows. Zbl 1392.76058
Zhao, Lifei; Li, Zhen; Caswell, Bruce; Ouyang, Jie; Karniadakis, George Em
1
2018
Machine learning of linear differential equations using Gaussian processes. Zbl 1380.68339
Raissi, Maziar; Perdikaris, Paris; Karniadakis, George Em
38
2017
Inferring solutions of differential equations using noisy multi-fidelity data. Zbl 1382.65229
Raissi, Maziar; Perdikaris, Paris; Karniadakis, George Em
38
2017
Petrov-Galerkin and spectral collocation methods for distributed order differential equations. Zbl 1367.65113
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em
24
2017
A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities. Zbl 1431.65193
Zeng, Fanhai; Mao, Zhiping; Karniadakis, George Em
21
2017
Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling. Zbl 1407.62252
Perdikaris, P.; Raissi, M.; Damianou, A.; Lawrence, N. D.; Karniadakis, G. E.
15
2017
Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization. Zbl 1419.62499
Pang, Guofei; Perdikaris, Paris; Cai, Wei; Karniadakis, George Em
14
2017
Computing fractional Laplacians on complex-geometry domains: algorithms and simulations. Zbl 1380.65357
Song, Fangying; Xu, Chuanju; Karniadakis, George Em
14
2017
Numerical methods for stochastic partial differential equations with white noise. Zbl 1380.65021
Zhang, Zhongqiang; Karniadakis, George Em
13
2017
A Petrov-Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line. Zbl 1367.65108
Lischke, Anna; Zayernouri, Mohsen; Karniadakis, George Em
13
2017
Multi-fidelity Gaussian process regression for prediction of random fields. Zbl 1419.62272
Parussini, L.; Venturi, D.; Perdikaris, P.; Karniadakis, G. E.
12
2017
Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions. Zbl 1439.65081
Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em
7
2017
A tunable finite difference method for fractional differential equations with non-smooth solutions. Zbl 1439.65082
Chen, Xuejuan; Zeng, Fanhai; Karniadakis, George Em
5
2017
Fractional Burgers equation with nonlinear non-locality: spectral vanishing viscosity and local discontinuous Galerkin methods. Zbl 1380.65280
Mao, Zhiping; Karniadakis, George Em
5
2017
Adaptive finite element method for fractional differential equations using hierarchical matrices. Zbl 1439.65091
Zhao, Xuan; Hu, Xiaozhe; Cai, Wei; Karniadakis, George Em
4
2017
A Petrov-Galerkin spectral element method for fractional elliptic problems. Zbl 1439.65205
Kharazmi, Ehsan; Zayernouri, Mohsen; Karniadakis, George Em
4
2017
Dissipative particle dynamics: foundation, evolution, implementation, and applications. Zbl 1387.35496
Li, Z.; Bian, X.; Li, X.; Deng, M.; Tang, Y.-H.; Caswell, B.; Karniadakis, George E.
4
2017
A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems. Zbl 1380.76093
Babaee, Hessam; Choi, Minseok; Sapsis, Themistoklis P.; Karniadakis, George Em
4
2017
Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. Zbl 1412.65091
Song, Fangying; Zeng, Fanhai; Cai, Wei; Chen, Wen; Karniadakis, George Em
1
2017
Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations. Zbl 1352.65278
Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em
27
2016
A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations. Zbl 1423.76102
Song, Fangying; Xu, Chuanju; Karniadakis, George Em
25
2016
Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions. Zbl 1355.65104
Cao, Wanrong; Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em
24
2016
Multifidelity information fusion algorithms for high-dimensional systems and massive data sets. Zbl 1342.62110
Perdikaris, Paris; Venturi, Daniele; Karniadakis, George Em
12
2016
Numerical methods for high-dimensional probability density function equations. Zbl 1349.65046
Cho, H.; Venturi, D.; Karniadakis, G. E.
11
2016
Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms. Zbl 1415.74049
Yu, Yue; Perdikaris, Paris; Karniadakis, George Em
9
2016
Multi-fidelity modelling of mixed convection based on experimental correlations and numerical simulations. Zbl 1383.76438
Babaee, H.; Perdikaris, P.; Chryssostomidis, C.; Karniadakis, G. E.
5
2016
Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise. Zbl 1357.65013
Zhang, Zhongqiang; Rozovskii, Boris; Karniadakis, George Em.
4
2016
Fractional-order uniaxial visco-elasto-plastic models for structural analysis. Zbl 1439.74077
Suzuki, J. L.; Zayernouri, M.; Bittencourt, M. L.; Karniadakis, G. E.
2
2016
Flow in complex domains simulated by dissipative particle dynamics driven by geometry-specific body-forces. Zbl 1349.76069
Yazdani, Alireza; Deng, Mingge; Caswell, Bruce; Karniadakis, George Em
1
2016
Fractional spectral collocation methods for linear and nonlinear variable order FPDEs. Zbl 1349.65531
Zayernouri, Mohsen; Karniadakis, George Em
75
2015
Second-order approximations for variable order fractional derivatives: algorithms and applications. Zbl 1349.65092
Zhao, Xuan; Sun, Zhi-zhong; Karniadakis, George Em
70
2015
A unified Petrov-Galerkin spectral method for fractional PDEs. Zbl 1425.65127
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em.
53
2015
A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations. Zbl 1339.65197
Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em
35
2015
Tempered fractional Sturm-Liouville eigenproblems. Zbl 1323.34012
Zayernouri, Mohsen; Ainsworth, Mark; Karniadakis, George Em
30
2015
Optimal error estimates of spectral Petrov-Galerkin and collocation methods for initial value problems of fractional differential equations. Zbl 1326.65100
Zhang, Zhongqiang; Zeng, Fanhai; Karniadakis, George Em
21
2015
Time-splitting schemes for fractional differential equations I: Smooth solutions. Zbl 1320.65106
Cao, Wanrong; Zhang, Zhongqiang; Karniadakis, George Em
10
2015
Special issue on “Fractional PDEs: theory, numerics, and applications”. Zbl 1349.35004
Karniadakis, George Em. (ed.)
7
2015
Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition. Zbl 1349.76663
Bian, Xin; Li, Zhen; Karniadakis, George Em
6
2015
Algorithms for propagating uncertainty across heterogeneous domains. Zbl 1347.60093
Cho, H.; Yang, X.; Venturi, D.; Karniadakis, G. E.
5
2015
Numerical methods for SPDEs with tempered stable processes. Zbl 1320.65020
Zheng, Mengdi; Karniadakis, George Em
5
2015
Adaptive multi-element polynomial chaos with discrete measure: algorithms and application to SPDEs. Zbl 1326.65140
Zheng, Mengdi; Wan, Xiaoliang; Karniadakis, George Em
5
2015
Multiscale universal interface: a concurrent framework for coupling heterogeneous solvers. Zbl 1349.76738
Tang, Yu-Hang; Kudo, Shuhei; Bian, Xin; Li, Zhen; Karniadakis, George Em
4
2015
Numerical methods for stochastic delay differential equations via the Wong-Zakai approximation. Zbl 1329.60233
Cao, Wanrong; Zhang, Zhongqiang; Karniadakis, George Em
4
2015
Wiener chaos versus stochastic collocation methods for linear advection-diffusion-reaction equations with multiplicative white noise. Zbl 1327.60133
Zhang, Zhongqiang; Tretyakov, Michael V.; Rozovskii, Boris; Karniadakis, George E.
3
2015
U-shaped fairings suppress vortex-induced vibrations for cylinders in cross-flow. Zbl 1381.76141
Xie, Fangfang; Yu, Yue; Constantinides, Yiannis; Triantafyllou, Michael S.; Karniadakis, George Em
2
2015
Adaptive Wick-Malliavin approximation to nonlinear SPDEs with discrete random variables. Zbl 1326.60099
Zheng, Mengdi; Rozovsky, Boris; Karniadakis, George E.
2
2015
Quantification of sampling uncertainty for molecular dynamics simulation: time-dependent diffusion coefficient in simple fluids. Zbl 1349.76762
Kim, Changho; Borodin, Oleg; Karniadakis, George Em
1
2015
Brownian motion of a Rayleigh particle confined in a channel: a generalized Langevin equation approach. Zbl 1317.82043
Kim, Changho; Karniadakis, George Em
1
2015
Fractional spectral collocation method. Zbl 1294.65097
Zayernouri, Mohsen; Karniadakis, George Em
103
2014
Exponentially accurate spectral and spectral element methods for fractional ODEs. Zbl 1349.65257
Zayernouri, Mohsen; Karniadakis, George Em
75
2014
Discontinuous spectral element methods for time- and space-fractional advection equations. Zbl 1304.35757
Zayernouri, Mohsen; Karniadakis, George Em
47
2014
A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains. Zbl 1349.76569
Dong, S.; Karniadakis, G. E.; Chryssostomidis, C.
30
2014
Spectral and discontinuous spectral element methods for fractional delay equations. Zbl 1314.34159
Zayernouri, Mohsen; Cao, Wanrong; Zhang, Zhongqiang; Karniadakis, George Em
27
2014
Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems. Zbl 1371.60119
Venturi, D.; Karniadakis, G. E.
15
2014
On the equivalence of dynamically orthogonal and bi-orthogonal methods: theory and numerical simulations. Zbl 1349.65535
Choi, Minseok; Sapsis, Themistoklis P.; Karniadakis, George Em
8
2014
Energy-conserving dissipative particle dynamics with temperature-dependent properties. Zbl 1349.76709
Li, Zhen; Tang, Yu-Hang; Lei, Huan; Caswell, Bruce; Karniadakis, George Em
8
2014
Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model. Zbl 1353.92037
Li, Xuejin; Peng, Zhangli; Lei, Huan; Dao, Ming; Karniadakis, George Em
6
2014
Statistical analysis and simulation of random shocks in stochastic Burgers equation. Zbl 1371.76081
Cho, Heyrim; Venturi, Daniele; Karniadakis, George E.
5
2014
A recursive sparse grid collocation method for differential equations with white noise. Zbl 1332.65015
Zhang, Z.; Tretyakov, M. V.; Rozovskii, B.; Karniadakis, G. E.
4
2014
A semi-local spectral/hp element solver for linear elasticity problems. Zbl 1352.74476
Yu, Yue; Bittencourt, Marco L.; Karniadakis, George Em.
1
2014
Time correlation functions of Brownian motion and evaluation of friction coefficient in the near-Brownian-limit regime. Zbl 1327.82067
Kim, Changho; Karniadakis, George Em
1
2014
Fractional Sturm-Liouville eigen-problems: theory and numerical approximation. Zbl 1349.34095
Zayernouri, Mohsen; Karniadakis, George Em
98
2013
Spectral/\(hp\) element methods for computational fluid dynamics. Reprint of the 2nd hardback ed. (2005). Zbl 1256.76003
Karniadakis, George Em; Sherwin, Spencer J.
79
2013
Reweighted \(\ell_1\) minimization method for stochastic elliptic differential equations. Zbl 1349.60113
Yang, Xiu; Karniadakis, George Em
38
2013
Exact PDF equations and closure approximations for advective-reactive transport. Zbl 1349.35068
Venturi, D.; Tartakovsky, D. M.; Tartakovsky, A. M.; Karniadakis, G. E.
19
2013
Generalized fictitious methods for fluid-structure interactions: analysis and simulations. Zbl 1349.76577
Yu, Yue; Baek, Hyoungsu; Karniadakis, George Em
16
2013
A convergence study for SPDEs using combined polynomial chaos and dynamically-orthogonal schemes. Zbl 1349.65509
Choi, Minseok; Sapsis, Themistoklis P.; Karniadakis, George Em
8
2013
Stochastic smoothed profile method for modeling random roughness in flow problems. Zbl 1286.76038
Zayernouri, Mohsen; Park, Sang-Woo; Tartakovsky, Daniel M.; Karniadakis, George Em
8
2013
Wick-Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations. Zbl 1371.60108
Venturi, D.; Wan, X.; Mikulevicius, R.; Rozovskii, B. L.; Karniadakis, G. E.
7
2013
Blood flow in small tubes: quantifying the transition to the non-continuum regime. Zbl 1287.76248
Lei, Huan; Fedosov, Dmitry A.; Caswell, Bruce; Karniadakis, George Em
7
2013
Distributed lock-in drives broadband vortex-induced vibrations of a long flexible cylinder in shear flow. Zbl 1284.74030
Bourguet, Rémi; Karniadakis, George Em; Triantafyllou, Michael S.
6
2013
Adaptive discontinuous Galerkin method for response-excitation PDF equations. Zbl 1277.60113
Cho, H.; Venturi, D.; Karniadakis, G. E.
5
2013
...and 143 more Documents
all top 5

Cited by 6,331 Authors

165 Karniadakis, George Em
67 Sherwin, Spencer J.
37 Lin, Guang
35 Xiu, Dongbin
31 Thompson, Mark Christopher
30 Wang, Hong
26 Dehghan Takht Fooladi, Mehdi
26 Doostan, Alireza
25 Kirby, Robert M. II
25 Shen, Jie
23 Le Maître, Olivier P.
21 Ghanem, Roger G.
21 Hourigan, Kerry
21 Narayan, Akil C.
21 Schwab, Christoph
20 Zabaras, Nicholas J.
19 Blackburn, Hugh M.
19 Dumbser, Michael
19 Kopriva, David Alan
19 Venturi, Daniele
18 Shu, Chi-Wang
17 Dawson, Clint N.
17 Guo, Ben-Yu
17 Hesthaven, Jan S.
17 Jin, Shi
17 Lucor, Didier
17 Nobile, Fabio
17 Perdikaris, Paris G.
17 Sagaut, Pierre
17 Zheng, Xiangcheng
17 Zhou, Tao
16 Abbaszadeh, Mostafa
16 Baccouch, Mahboub
16 Iaccarino, Gianluca
16 Rozza, Gianluigi
16 Zaky, Mahmoud A.
15 Giraldo, Francis X.
15 Mao, Zhiping
15 Pasquetti, Richard
15 Sheard, Gregory John
15 Wan, Xiaoliang
15 Wang, Lilian
15 Warburton, Timothy
14 Knio, Omar M.
14 Najm, Habib N.
14 Noack, Bernd R.
14 Quarteroni, Alfio M.
14 Tartakovsky, Daniel M.
13 Ainsworth, Mark
13 Bourguet, Rémi
13 Congedo, Pietro Marco
13 Dong, Suchuan
13 Elman, Howard C.
13 Gerritsma, Marc I.
13 Jakeman, John Davis
13 Kirby, Robert Mike
13 Nordström, Jan
13 Peiró, Joaquim
13 Xing, Yulong
13 Zayernouri, Mohsen
12 Boscheri, Walter
12 Luo, Hong
12 Machado, José António Tenreiro
12 Nouy, Anthony
12 Reddy, Junuthula Narasimha
12 Tartakovsky, Alexandre M.
12 Zeng, Fanhai
12 Zhang, Zhimin
11 Cheng, Liang
11 Guo, Ling
11 Leweke, Thomas
11 Matthies, Hermann Georg
11 Maxey, Martin R.
11 Pavarino, Luca Franco
11 Pulch, Roland
11 Soize, Christian
11 Stiller, Jörg
11 Triantafyllou, Michael S.
11 Vega, José Manuel
11 Yang, Xiu
11 Zhang, Zhiwen
10 Bhrawy, Ali Hassan
10 Chan, Jesse
10 Deville, Michel O.
10 Gassner, Gregor J.
10 Grigoriu, Mircea D.
10 Gunzburger, Max D.
10 Kronbichler, Martin
10 Li, Zhen
10 Liu, Fawang
10 Liu, Jianguo
10 Lo Jacono, David
10 Marzouk, Youssef M.
10 Nguyen, Ngoc Cuong
10 Qiu, Jingmei
10 Salvetti, Maria Vittoria
10 Sapsis, Themistoklis P.
10 Tempone, Raúl F.
10 Turner, Ian William
10 Wheeler, Mary Fanett
...and 6,231 more Authors
all top 5

Cited in 280 Serials

875 Journal of Computational Physics
326 Computer Methods in Applied Mechanics and Engineering
238 Computers and Fluids
238 Journal of Scientific Computing
237 Journal of Fluid Mechanics
128 Physics of Fluids
120 SIAM Journal on Scientific Computing
101 Applied Numerical Mathematics
97 Computers & Mathematics with Applications
96 Journal of Computational and Applied Mathematics
76 International Journal for Numerical Methods in Engineering
74 Applied Mathematics and Computation
65 International Journal for Numerical Methods in Fluids
61 SIAM/ASA Journal on Uncertainty Quantification
53 Applied Mathematical Modelling
49 Mathematics of Computation
46 European Journal of Mechanics. B. Fluids
33 Mathematics and Computers in Simulation
31 Computational Mechanics
28 Numerische Mathematik
28 Numerical Algorithms
27 SIAM Journal on Numerical Analysis
26 International Journal of Heat and Mass Transfer
25 Computational Geosciences
23 Computational and Applied Mathematics
23 Mathematical Problems in Engineering
22 Advances in Computational Mathematics
22 Communications in Nonlinear Science and Numerical Simulation
21 Engineering Analysis with Boundary Elements
19 Nonlinear Dynamics
19 Fractional Calculus & Applied Analysis
18 International Journal of Computer Mathematics
17 Journal of Engineering Mathematics
17 Archives of Computational Methods in Engineering
16 Multiscale Modeling & Simulation
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Journal of Mathematical Analysis and Applications
15 Physica D
15 Advances in Difference Equations
13 Journal of Statistical Physics
13 Applied Mathematics Letters
12 Chaos, Solitons and Fractals
12 Numerical Methods for Partial Differential Equations
12 International Journal of Computational Fluid Dynamics
11 Computer Physics Communications
11 Theoretical and Computational Fluid Dynamics
11 Mathematical and Computer Modelling
10 BIT
10 International Journal of Computational Methods
9 Acta Mechanica
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Automatica
8 Journal of Turbulence
8 Journal of Computational Acoustics
8 Acta Mechanica Sinica
8 Journal of Theoretical Biology
8 AMM. Applied Mathematics and Mechanics. (English Edition)
7 Meccanica
7 International Journal of Numerical Methods for Heat & Fluid Flow
7 Chaos
7 Communications on Applied Mathematics and Computation
6 Journal of Mathematical Physics
6 SIAM Review
6 Continuum Mechanics and Thermodynamics
6 Abstract and Applied Analysis
6 European Journal of Mechanics. A. Solids
6 Computational Methods in Applied Mathematics
6 SIAM Journal on Applied Dynamical Systems
6 Acta Numerica
6 Mathematical Modelling of Natural Phenomena
6 Communications in Applied and Industrial Mathematics
6 Stochastic and Partial Differential Equations. Analysis and Computations
6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Mathematical Methods in the Applied Sciences
5 Applied Mathematics and Mechanics. (English Edition)
5 Journal of Non-Newtonian Fluid Mechanics
5 Archive of Applied Mechanics
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Flow, Turbulence and Combustion
5 Foundations of Computational Mathematics
5 Journal of Applied Mathematics and Computing
5 Structural and Multidisciplinary Optimization
5 East Asian Journal on Applied Mathematics
5 International Journal of Applied and Computational Mathematics
4 Inverse Problems
4 Journal of Mathematical Biology
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Calcolo
4 Computing
4 SIAM Journal on Control and Optimization
4 Chinese Annals of Mathematics. Series B
4 SIAM Journal on Matrix Analysis and Applications
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Communications in Numerical Methods in Engineering
4 Computing and Visualization in Science
4 Multibody System Dynamics
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Engineering Computations
4 Differentsial’nye Uravneniya i Protsessy Upravleniya
4 Discrete and Continuous Dynamical Systems. Series B
...and 180 more Serials
all top 5

Cited in 44 Fields

2,378 Numerical analysis (65-XX)
1,928 Fluid mechanics (76-XX)
1,122 Partial differential equations (35-XX)
397 Mechanics of deformable solids (74-XX)
383 Probability theory and stochastic processes (60-XX)
195 Ordinary differential equations (34-XX)
180 Statistics (62-XX)
155 Biology and other natural sciences (92-XX)
119 Statistical mechanics, structure of matter (82-XX)
118 Real functions (26-XX)
114 Classical thermodynamics, heat transfer (80-XX)
93 Approximations and expansions (41-XX)
93 Computer science (68-XX)
93 Optics, electromagnetic theory (78-XX)
92 Dynamical systems and ergodic theory (37-XX)
82 Systems theory; control (93-XX)
79 Geophysics (86-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
48 Special functions (33-XX)
43 Integral equations (45-XX)
40 Operations research, mathematical programming (90-XX)
32 Mechanics of particles and systems (70-XX)
28 Information and communication theory, circuits (94-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
16 Operator theory (47-XX)
10 Functional analysis (46-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 General and overarching topics; collections (00-XX)
8 Difference and functional equations (39-XX)
8 Quantum theory (81-XX)
7 Integral transforms, operational calculus (44-XX)
5 Functions of a complex variable (30-XX)
4 Number theory (11-XX)
4 Astronomy and astrophysics (85-XX)
3 Differential geometry (53-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Measure and integration (28-XX)
1 Mathematical logic and foundations (03-XX)
1 Convex and discrete geometry (52-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.