×

zbMATH — the first resource for mathematics

Glimm, James G.

Compute Distance To:
Author ID: glimm.james-g Recent zbMATH articles by "Glimm, James G."
Published as: Glimm, J.; Glimm, J. G.; Glimm, James; Glimm, James G.
Homepage: http://www.ams.sunysb.edu/~glimm/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 176 Publications since 1960, including 9 Books
Biographic References: 2 Publications
all top 5

Co-Authors

27 single-authored
44 Sharp, David H.
29 Li, Xiaolin
22 Grove, John W.
16 McBryan, Oliver A.
15 Jaffe, Arthur Michael
13 Yu, Yan
11 Jin, Hyeonseong
11 Lim, Hyunkyung
11 Zhang, Qiang
9 Marchesin, Dan
9 Plohr, Bradley J.
7 Lindquist, Brent
7 Tangerman, Folkert M.
6 Cheng, Baolian
6 Zhang, Yongmin
5 Chen, Gui-Qiang G.
5 Deng, Yuefan
5 Dutta, Srabasti
5 Kaman, Tülin
5 Xu, Zhiliang
4 Bo, Wurigen
4 George, Erwin
4 Jiao, Xiangmin
4 Lee, Hyunsun
4 Lee, Taewon
4 Lee, Yoon-ha
4 Liu, Xinfeng
4 Liu, Yingjie
4 Menikoff, Ralph
4 Saltz, David
4 Tan, Dechun
4 Ye, Kenny Q.
4 Zhao, Ming
4 Zhao, Ning
3 Chen, Yupin
3 Du, Jian
3 Hou, Shuling
3 Isaacson, Eli L.
3 Kaufman, Ryan
3 Lax, Peter David
3 Li, Yuanhua
3 Samulyak, Roman
3 Wang, Duo
3 Wu, Lingling
3 Yaniv, Sara
2 Abarzhi, Snezhana I.
2 Asvestas, John S.
2 Bielefeld, Ben
2 Boston, Brian
2 Cherry, Elizabeth M.
2 Fenton, Flavio H.
2 Fix, Brian
2 Graham, M. J.
2 Hu, Wenlin
2 Ji, Xiaomei
2 Jia, Xicheng
2 Kim, Dongyung
2 Kim, Hongjoong
2 Lin, An-Der
2 Liu, Jinjie
2 Lu, Tianshi
2 Mahadeo, Vinay
2 Pestieau, N.
2 Simanca, Santiago R.
2 Spencer, Thomas C.
2 Wang, Feng
2 Xu, Ying
1 Atiyah, Michael Francis
1 Bartocci, Ezio
1 Borel, Armand
1 Chaitin, Gregory J.
1 Chern, I-Liang
1 Chui, W.
1 Conley, Rebecca
1 Daripa, Prabir K.
1 Dimock, Jonathan
1 Drake, R. Paul
1 Eisenberg, Moshe
1 Friedan, Daniel Harry
1 Gardner, Carl L.
1 Gong, Xiaoxue
1 Gray, Jeremy John
1 Grosu, Radu
1 Guevara-Jordan, Juan M.
1 Han, Guowen
1 Hirsch, Morris W.
1 Holmes, Richard L.
1 Hu, Yueming
1 Huang, Yating
1 Impagliazzo, John
1 Islam, Md. Ariful
1 Iwerks, Justin
1 Jaffee, A.
1 Jin, Boxuan
1 Kadison, Richard Vincent
1 Kang, Yonghee
1 Kang, Yunghee
1 Kim, Joung-Dong
1 Klingenberg, Christian
1 Kranzer, Herbert C.
...and 49 more Co-Authors
all top 5

Serials

13 Communications in Mathematical Physics
10 Journal of Computational Physics
8 SIAM Journal on Scientific Computing
6 Physics of Fluids
5 Communications on Pure and Applied Mathematics
4 Computers & Mathematics with Applications
3 Physics Letters. A
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Advances in Applied Mathematics
3 Physica D
3 Annals of Mathematics. Second Series
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Bulletin of the American Mathematical Society
2 Journal of Statistical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Physics of Fluids, A
2 Pacific Journal of Mathematics
2 SIAM Journal on Numerical Analysis
2 Transactions of the American Mathematical Society
2 SIAM Journal on Scientific and Statistical Computing
2 Acta Mathematicae Applicatae Sinica. English Series
2 Proceedings of the National Academy of Sciences of the United States of America
2 SIAM Journal on Applied Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Computational and Applied Mathematics
2 Computational Geosciences
2 Physical Review Letters
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Letters in Mathematical Physics
1 Physics of Fluids
1 Advances in Mathematics
1 Bulletin de la Société Mathématique de France
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Theoretical Computer Science
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 IMPACT of Computing in Science and Engineering
1 Annals of Physics
1 SIAM Review
1 Matemática Aplicada e Computacional
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Discrete and Continuous Dynamical Systems
1 Communications in Applied Analysis
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Multiscale Modeling & Simulation
1 Physical Review, II. Series
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 The IMA Volumes in Mathematics and its Applications
1 Proceedings of Symposia in Pure Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Philosophical Transactions A. Royal Society of London
1 Annals of Mathematical Sciences and Applications

Publications by Year

Citations contained in zbMATH Open

141 Publications have been cited 3,359 times in 2,482 Documents Cited by Year
Solutions in the large for nonlinear hyperbolic systems of equations. Zbl 0141.28902
Glimm, J.
532
1965
Quantum physics. A functional integral point of view. Zbl 0461.46051
Glimm, James; Jaffe, Arthur
524
1981
Decay of solutions of systems of nonlinear hyperbolic conservation laws. Zbl 0204.11304
Glimm, J.; Lax, Peter D.
128
1970
Three-dimensional front tracking. Zbl 0912.65075
Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni
115
1998
Type I \(C^ *\)-algebras. Zbl 0152.33002
Glimm, J.
115
1961
On a certain class of operator algebras. Zbl 0094.09701
Glimm, James G.
104
1960
A Stone-Weierstrass theorem for \(C^*\)-algebras. Zbl 0097.10705
Glimm, James
77
1960
The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum. Zbl 0191.27005
Glimm, J.; Jaffe, A.
72
1970
Front tracking for gas dynamics. Zbl 0577.76068
Chern, I-L.; Glimm, J.; McBryan, O.; Plohr, B.; Yaniv, S.
67
1986
Locally compact transformation groups. Zbl 0119.10802
Glimm, J.
67
1961
Rigorous quantum field theory models. Zbl 0191.27101
Glimm, J.; Jaffe, A.
57
1970
Global solutions to the compressible Euler equations with geometrical structure. Zbl 0857.76073
Chen, Gui-Qiang; Glimm, James
51
1996
A \(\lambda\varphi^4\) quantum field theory without cutoffs. I. Zbl 0177.28203
Glimm, J.; Jaffe, A.
50
1968
Conservative front tracking with improved accuracy. Zbl 1053.35093
Glimm, James; Li, Xiaolin; Liu, Yingjie; Xu, Zhiliang; Zhao, Ning
48
2003
Unitary operators in \(C^ *\)-algebras. Zbl 0152.33001
Glimm, J. G.; Kadison, Richard V.
46
1960
Families of induced representations. Zbl 0121.10303
Glimm, J.
45
1962
Boson fields with nonlinear selfinteraction in two dimensions. Zbl 0173.29903
Glimm, J.
44
1968
Phase transitions for \(\phi_2^4\) quantum fields. Zbl 0956.82501
Glimm, James; Jaffe, Arthur; Spencer, Thomas
42
1975
A critical analysis of Rayleigh-Taylor growth rates. Zbl 1011.76057
Glimm, J.; Grove, J. W.; Li, X. L.; Oh, W.; Sharp, D. H.
41
2001
A generalized Riemann problem for quasi-one-dimensional gas flows. Zbl 0566.76056
Glimm, James; Marshall, Guillermo; Plohr, Bradley
41
1984
A simple package for front tracking. Zbl 1089.65128
Du, Jian; Fix, Brian; Glimm, James; Jia, Xicheng; Li, Xiaolin; Li, Yuanhua; Wu, Lingling
39
2006
Robust computational algorithms for dynamic interface tracking in three dimensions. Zbl 0969.76062
Glimm, James; Grove, John W.; Li, X. L.; Tan, D. C.
38
2000
The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces. Zbl 0641.76099
Gardner, C. L.; Glimm, J.; McBryan, O.; Menikoff, R.; Sharp, D. H.; Zhang, Q.
38
1988
Front tracking for hyperbolic systems. Zbl 0459.76069
Glimm, J.; Isaacson, E.; Marchesin, D.; McBryan, O.
35
1981
Singular perturbations of self adjoint operators. Zbl 0167.42804
Glimm, J.; Jaffee, A.
35
1969
The bifurcation of tracked scalar waves. Zbl 0636.65132
Glimm, James; Grove, John; Lindquist, Brent; McBryan, Oliver A.; Tryggvason, Gretar.
33
1988
Conservative front tracking and level set algorithms. Zbl 1005.65091
Glimm, James; Li, Xiao Lin; Liu, Yingjie; Zhao, Ning
28
2001
Front tracking in two and three dimensions. Zbl 1010.68538
Glimm, J.; Graham, M. J.; Grove, J.; Li, X. L.; Smith, T. M.; Tan, D.; Tangerman, F.; Zhang, Q.
28
1998
A numerical study of bubble interactions in Rayleigh-Taylor instability for compressible fluids. Zbl 0713.76049
Glimm, J.; Li, X. L.; Menikoff, R.; Sharp, D. H.; Zhang, Q.
26
1990
Simple front tracking. Zbl 0960.76058
Glimm, James; Grove, John W.; Li, X. L.; Zhao, N.
25
1999
Transonic shock formation in a rarefaction Riemann problem for the 2D compressible Euler equations. Zbl 1191.35178
Glimm, James; Ji, Xiaomei; Li, Jiequan; Li, Xiaolin; Zhang, Peng; Zhang, Tong; Zheng, Yuxi
23
2008
Front tracking and two-dimensional Riemann problems. Zbl 0631.76068
Glimm, James; Klingenberg, Christian; McBryan, Oliver; Plohr, Bradley; Sharp, David; Yaniv, Sara
22
1985
Front tracking applied to Rayleigh-Taylor instability. Zbl 0582.76107
Glimm, J.; McBryan, O.; Menikoff, R.; Sharp, D. H.
21
1986
Collected papers. Vol. 1: Quantum field theory and statistical mechanics. Expositions. Vol. 2: Constructive quantum field theory. Selected papers. Zbl 0574.01019
Glimm, James; Jaffe, Arthur
21
1985
A numerical method for two phase flow with an unstable interface. Zbl 0469.76079
Glimm, J.; Marchesin, D.; Mc Bryan, O.
21
1981
Positivity and self adjointness of the \(P(\phi)_ 2\) Hamiltonian. Zbl 0221.47022
Glimm, James; Jaffe, Arthur
19
1971
Boson fields with the \(:\Phi^ 4:\) interaction in three dimensions. Zbl 0175.24702
Glimm, J.
18
1968
The interaction of nonlinear hyperbolic waves. Zbl 0635.35067
Glimm, James
17
1988
Measures on Schwartz distribution space and applications to \(P(\varphi)_2\) field theories. Zbl 0313.28015
Dimock, Jonathan; Glimm, James
17
1974
Decay of solutions of systems of hyperbolic conservation laws. Zbl 0146.33803
Glimm, J.; Lax, P. D.
17
1967
A robust front tracking method: verification and application to simulation of the primary breakup of a liquid jet. Zbl 05987072
Bo, Wurigen; Liu, Xingtao; Glimm, James; Li, Xiaolin
15
2011
A two-phase flow model of the Rayleigh-Taylor mixing zone. Zbl 1025.76535
Chen, Yupin; Glimm, James; Sharp, David H.; Zhang, Qiang
15
1996
Yukawa coupling of quantum fields in two dimensions. I. Zbl 0155.57001
Glimm, J.
15
1967
Formal stability of Hamiltonian systems. Zbl 0125.40804
Glimm, J.
15
1964
Uncertainty quantification for chaotic computational fluid dynamics. Zbl 1146.76639
Yu, Y.; Zhao, M.; Lee, T.; Pestieau, N.; Bo, W.; Glimm, J.; Grove, J. W.
14
2006
Interface tracking for axisymmetric flows. Zbl 1062.76034
Glimm, James; Grove, John W.; Zhang, Yongmin
14
2002
Multidimensional hyperbolic problems and computations. Proceedings of the IMA workshop, Minneapolis, MN (USA), April 3-14, 1989. Zbl 0718.00008
Glimm, James (ed.); Majda, Andrew J. (ed.)
14
1991
Entropy of averaging for compressible two-pressure two-phase flow models. Zbl 1236.76081
Jin, H.; Glimm, J.; Sharp, D. H.
13
2006
Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio. Zbl 1058.76555
Abarzhi, S. I.; Nishihara, Katsunobu; Glimm, James G.
13
2003
Prediction and the quantification of uncertainty. Zbl 1194.76243
Glimm, J.; Sharp, D. H.
13
1999
Self-similarity of Rayleigh-Taylor mixing rates. Zbl 1187.76180
George, E.; Glimm, J.
12
2005
Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation. Zbl 0858.76055
Li, X. L.; Jin, B. X.; Glimm, J.
12
1996
Polymer floods: A case study of nonlinear wave analysis and of instability control in tertiary oil recovery. Zbl 0641.76093
Daripa, Prabir; Glimm, James; Lindquist, Brent; McBryan, Oliver
12
1988
Subgrid resolution of fluid discontinuities. II. Zbl 0459.76068
Glimm, J.; Marchesin, D.; McBryan, O.
12
1980
Chaos, transport and mesh convergence for fluid mixing. Zbl 1152.76028
Lim, H.; Yu, Y.; Glimm, J.; Li, X. L.; Sharp, D. H.
11
2008
A three-dimensional renormalization group bubble merger model for Rayleigh-Taylor mixing. Zbl 1080.76579
Cheng, Baolian; Glimm, J.; Sharp, D. H.
11
2002
Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing. Zbl 0972.76512
Glimm, James; Saltz, David; Sharp, David H.
11
1996
Chaotic mixing as a renormalization-group fixed point. Zbl 1050.76543
Glimm, J.; Sharp, D. H.
11
1990
A front tracking algorithm for limited mass diffusion. Zbl 1116.76063
Liu, Xinfeng; Li, Yuanhua; Glimm, J.; Li, X. L.
10
2007
Stochastic partial differential equations: Selected applications in continuum physics. Zbl 0935.60042
Glimm, James; Sharp, David
10
1999
A note on reflection positivity. Zbl 0418.47020
Glimm, James; Jaffe, Arthur
10
1979
Kolmogorov’s theory of turbulence and inviscid limit of the Navier-Stokes equations in \({\mathbb{R}}^3\). Zbl 1232.35114
Chen, Gui-Qiang; Glimm, James
9
2012
Comparison and validation of multi phase closure models. Zbl 1155.76342
Bo, W.; Jin, H.; Kim, D.; Liu, X.; Lee, H.; Pestieau, N.; Yu, Y.; Glimm, J.; Grove, J. W.
9
2008
Boundary conditions for a two pressure two-phase flow model. Zbl 1194.76276
Cheng, B. L.; Glimm, J.; Saltz, D.; Sharp, D. H.
9
1999
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
9
1994
Inertial range scaling of laminar shear flow as a model of turbulent transport. Zbl 0749.76031
Zhang, Qiang; Glimm, James
9
1992
A random field model for anomalous diffusion in heterogeneous porous media. Zbl 0739.60092
Glimm, James; Sharp, David H.
9
1991
Remark on the existence of \(\varphi^{4}_{4}\). Zbl 1329.81210
Glimm, James; Jaffe, Arthur
9
1974
Stochastic methods for the prediction of complex multiscale phenomena. Zbl 0958.76072
Glimm, James; Sharp, David
8
1998
Two-pressure two-phase flow. Zbl 0929.35111
Glimm, J.; Saltz, D.; Sharp, D. H.
8
1998
A conservative Eulerian numerical scheme for elastoplasticity and application to plate impact problems. Zbl 0787.73076
Wang, Feng; Glimm, James G.; Grove, John W.; Plohr, Bradley J.; Sharp, David H.
8
1993
Nonlinear and stochastic phenomena: The grand challenge for partial differential equations. Zbl 0756.35070
Glimm, James
8
1991
The continuous structure of discontinuities. Zbl 0991.80501
Glimm, J.
8
1989
Infinite renormalization of the Hamiltonian is necessary. Zbl 0184.54203
Glimm, J.; Jaffe, A.
8
1969
New directions for Rayleigh-Taylor mixing. Zbl 1353.76027
Glimm, James; Sharp, David H.; Kaman, Tulin; Lim, Hyunkyung
7
2013
Statistical fluid dynamics: Unstable fingers. Zbl 0429.76029
Glimm, J.; Marchesin, D.; McBryan, O.
7
1980
Self-adjointness of the Yukawa\(_{2}\) Hamiltonian. Zbl 1229.81087
Glimm, James; Jaffe, Arthur
7
1970
Spherical Richtmyer-Meshkov instability for axisymmetric flow. Zbl 1146.76596
Dutta, Srabasti; Glimm, James; Grove, John W.; Sharp, David H.; Zhang, Yongmin
6
2004
Nonuniform approach to terminal velocity for single mode Rayleigh-Taylor instability. Zbl 1114.76326
Glimm, James; Li, Xiao-lin; Lin, An-Der
6
2002
Risk management for petroleum reservoir production: A simulation-based study of prediction. Zbl 0997.76084
Glimm, James; Hou, Shuling; Kim, Hongjoong; Lee, Yoon-ha; Sharp, David H.
6
2001
Quantum physics. A functional integral point of view. (Matematicheskie metody kvantovoj fiziki. Podkhod s ispol’zovaniem funktional’nykh integralov). Zbl 0589.46061
Glimm, James; Jaffe, Arthur
6
1984
Unstable fingers in two phase flow. Zbl 0469.76078
Glimm, J.; Marchesin, D.; Mc Bryan, O.
6
1981
The Yukawa coupling of quantum fields in two dimensions. II. Zbl 0162.28902
Glimm, J.
6
1967
Nonideal Rayleigh-Taylor mixing. Zbl 1205.76117
Lim, Hyunkyung; Iwerks, Justin; Glimm, James; Sharp, David H.
5
2010
On validation of turbulent mixing simulations for Rayleigh-Taylor instability. Zbl 1182.76440
Lee, Hyunsun; Jin, Hyeonseong; Yu, Yan; Glimm, James
5
2008
A conservative front tracking method in \(N\) dimensions. Zbl 1115.76357
Liu, Jinjie; Lim, Hyun-Kyung; Glimm, James; Li, Xiaolin
5
2007
Dynamics of two-dimensional Rayleigh-Taylor bubbles for fluids with a finite density contrast. Zbl 1186.76013
Abarzhi, Snezhana I.; Glimm, James; Lin, An-Der
5
2003
A two pressure numerical model of two fluid mixing. Zbl 1191.76101
Glimm, James; Jin, Hyeonseong; Laforest, Marc; Tangerman, Folkert; Zhang, Yongmin
5
2003
Conservative front tracking in one space dimension. Zbl 1014.65082
Glimm, James; Li, Xiao Lin; Liu, Yingjie
5
2002
Numerical study of axisymmetric Richtmyer-Meshkov instability and azimuthal effect on spherical mixing. Zbl 1126.76324
Glimm, James; Grove, John; Zhang, Yongmin; Dutta, Srabasti
5
2002
Wave fronts for Hamilton-Jacobi equations: The general theory for Riemann solutions in \(\mathbb{R}^n\). Zbl 0923.70015
Glimm, J.; Kranzer, H. C.; Tan, D.; Tangerman, F. M.
5
1997
A renormalization group scaling analysis for compressible two-phase flow. Zbl 0800.76489
Chen, Yupin; Deng, Yuefan; Glimm, James; Li, Gang; Zhang, Qiang; Sharp, David H.
5
1993
Front tracking for hyperbolic conservation laws: A progress report. Zbl 0504.76001
Glimm, James; McBryan, Oliver
5
1981
Two cartesian products which are euclidean spaces. Zbl 0094.36101
Glimm, James
5
1960
High-order numerical integration over discrete surfaces. Zbl 1261.65028
Ray, Navamita; Wang, Duo; Jiao, Xiangmin; Glimm, James
4
2012
Rayleigh-Taylor mixing rates for compressible flow. Zbl 1187.76249
Jin, H.; Liu, X. F.; Lu, T.; Cheng, B.; Glimm, J.; Sharp, D. H.
4
2005
A multi-temperature multiphase flow model. Zbl 1060.76123
Cheng, B.; Glimm, J.; Sharp, D. H.
4
2002
Global solutions to the cylindrically symmetric rotating motion of isentropic gases. Zbl 0864.76080
Chen, Gui-Qiang; Glimm, James
4
1996
A front tracking reservoir simulator, five-spot validation studies and the water coning problem. Zbl 0546.76115
Glimm, James; Lindquist, Brent; McBryan, Oliver; Padmanabhan, L.
4
1983
Model-order reduction of ion channel dynamics using approximate bisimulation. Zbl 1337.92061
Islam, Md. Ariful; Murthy, Abhishek; Bartocci, Ezio; Cherry, Elizabeth M.; Fenton, Flavio H.; Glimm, James; Smolka, Scott A.; Grosu, Radu
3
2015
Large eddy simulation, turbulent transport and the renormalization group. Zbl 1395.76030
Glimm, James; Plohr, Bradley J.; Lim, Hyunkyung; Hu, Wenlin; Sharp, David H.
1
2016
Conservative front tracking: the algorithm, the rationale and the API. Zbl 1381.76101
Kaufman, R.; Lim, H.; Glimm, James
1
2016
Model-order reduction of ion channel dynamics using approximate bisimulation. Zbl 1337.92061
Islam, Md. Ariful; Murthy, Abhishek; Bartocci, Ezio; Cherry, Elizabeth M.; Fenton, Flavio H.; Glimm, James; Smolka, Scott A.; Grosu, Radu
3
2015
New directions for Rayleigh-Taylor mixing. Zbl 1353.76027
Glimm, James; Sharp, David H.; Kaman, Tulin; Lim, Hyunkyung
7
2013
Kolmogorov’s theory of turbulence and inviscid limit of the Navier-Stokes equations in \({\mathbb{R}}^3\). Zbl 1232.35114
Chen, Gui-Qiang; Glimm, James
9
2012
High-order numerical integration over discrete surfaces. Zbl 1261.65028
Ray, Navamita; Wang, Duo; Jiao, Xiangmin; Glimm, James
4
2012
Uncertainty quantification for turbulent mixing flows: Rayleigh-Taylor instability. Zbl 1426.76180
Kaman, T.; Kaufman, R.; Glimm, J.; Sharp, D. H.
2
2012
A robust front tracking method: verification and application to simulation of the primary breakup of a liquid jet. Zbl 05987072
Bo, Wurigen; Liu, Xingtao; Glimm, James; Li, Xiaolin
15
2011
A numerical method for the simulation of turbulent mixing and its basis in mathematical theory. Zbl 1312.76018
Kaman, T.; Lim, H.; Yu, Y.; Wang, D.; Hu, Y.; Kim, J.-D.; Li, Y.; Wu, L.; Glimm, J.; Jiao, X.; Li, X.-L.; Samulyak, R.
1
2011
Nonideal Rayleigh-Taylor mixing. Zbl 1205.76117
Lim, Hyunkyung; Iwerks, Justin; Glimm, James; Sharp, David H.
5
2010
Study of crystal growth and solute precipitation through front tracking method. Zbl 1230.74059
Li, Xiaolin; Glimm, James; Jiao, Xiangmin; Peyser, Charles; Zhao, Yanhong
2
2010
Transonic shock formation in a rarefaction Riemann problem for the 2D compressible Euler equations. Zbl 1191.35178
Glimm, James; Ji, Xiaomei; Li, Jiequan; Li, Xiaolin; Zhang, Peng; Zhang, Tong; Zheng, Yuxi
23
2008
Chaos, transport and mesh convergence for fluid mixing. Zbl 1152.76028
Lim, H.; Yu, Y.; Glimm, J.; Li, X. L.; Sharp, D. H.
11
2008
Comparison and validation of multi phase closure models. Zbl 1155.76342
Bo, W.; Jin, H.; Kim, D.; Liu, X.; Lee, H.; Pestieau, N.; Yu, Y.; Glimm, J.; Grove, J. W.
9
2008
On validation of turbulent mixing simulations for Rayleigh-Taylor instability. Zbl 1182.76440
Lee, Hyunsun; Jin, Hyeonseong; Yu, Yan; Glimm, James
5
2008
Multiscale models for fluid mixing. Zbl 1194.76072
Lim, H.; Yu, Y.; Jin, H.; Kim, D.; Lee, H.; Glimm, J.; Li, X.-L.; Sharp, D. H.
1
2008
Dynamic phase boundaries for compressible fluids. Zbl 1158.76049
Lu, T.; Xu, Z. L.; Samulyak, R.; Glimm, J.; Ji, X. M.
1
2008
A front tracking algorithm for limited mass diffusion. Zbl 1116.76063
Liu, Xinfeng; Li, Yuanhua; Glimm, J.; Li, X. L.
10
2007
A conservative front tracking method in \(N\) dimensions. Zbl 1115.76357
Liu, Jinjie; Lim, Hyun-Kyung; Glimm, James; Li, Xiaolin
5
2007
Error and timing analysis of multiple time-step integration methods for molecular dynamics. Zbl 1196.82050
Han, Guowen; Deng, Yuefan; Glimm, James; Martyna, Glenn
3
2007
A numerical algorithm for MHD of free surface flows at low magnetic Reynolds numbers. Zbl 1173.76391
Samulyak, Roman; Du, Jian; Glimm, James; Xu, Zhiliang
2
2007
Recent progress in the stochastic analysis of turbulent mixing. Zbl 1205.76130
Bo, Wurigen; Cheng, Baolian; Du, Jian; Fix, Brian; George, Erwin; Glimm, James; Grove, John W.; Jia, Xicheng; Jin, Hyeonseong; Lee, Hyunsun; Li, Yuanhua; Li, Xiaolin; Liu, Xinfeng; Sharp, David H.; Wu, Lingling; Yu, Yan
1
2007
A simple package for front tracking. Zbl 1089.65128
Du, Jian; Fix, Brian; Glimm, James; Jia, Xicheng; Li, Xiaolin; Li, Yuanhua; Wu, Lingling
39
2006
Uncertainty quantification for chaotic computational fluid dynamics. Zbl 1146.76639
Yu, Y.; Zhao, M.; Lee, T.; Pestieau, N.; Bo, W.; Glimm, J.; Grove, J. W.
14
2006
Entropy of averaging for compressible two-pressure two-phase flow models. Zbl 1236.76081
Jin, H.; Glimm, J.; Sharp, D. H.
13
2006
A conservative front tracking method. Zbl 1102.35354
Liu, Jinjie; Glimm, James; Li, Xiaolin
2
2006
Self-similarity of Rayleigh-Taylor mixing rates. Zbl 1187.76180
George, E.; Glimm, J.
12
2005
Rayleigh-Taylor mixing rates for compressible flow. Zbl 1187.76249
Jin, H.; Liu, X. F.; Lu, T.; Cheng, B.; Glimm, J.; Sharp, D. H.
4
2005
A multiphase flow model for the unstable mixing of incompressible layered materials. Zbl 1187.76095
Cheng, Baolian; Glimm, J.; Sharp, D. H.; Yu, Y.
3
2005
Errors in numerical solutions of spherically symmetric shock physics problems. Zbl 1329.76154
Glimm, James; Grove, John W.; Kang, Yunghee; Lee, Taewon; Li, Xiaolin; Sharp, David H.; Ye, Kenny Q.; Yu, Yan; Zhao, Ming
3
2005
Front tracking algorithm using adaptively refind meshes. Zbl 1246.76130
Xu, Zhiliang; Glimm, James; Li, Xiaolin
2
2005
Shock wave interactions in spherical and perturbed spherical geometries. Zbl 1153.76379
Dutta, S.; George, E.; Glimm, J.; Grove, J. W.; Jin, H.; Lee, T.; Li, X.; Sharp, D. H.; Ye, K.; Yu, Y.; Zhang, Y.; Zhao, M.
1
2005
Spherical Richtmyer-Meshkov instability for axisymmetric flow. Zbl 1146.76596
Dutta, Srabasti; Glimm, James; Grove, John W.; Sharp, David H.; Zhang, Yongmin
6
2004
Statistical Riemann problems and a composition law for errors in numerical solutions of shock physics problems. Zbl 1078.76055
Glimm, James; Grove, John W.; Kang, Yonghee; Lee, Taewon; Li, Xiaolin; Sharp, David H.; Yu, Yan; Ye, Kenny; Zhao, Ming
3
2004
Error comparison in tracked and untracked spherical simulations. Zbl 1154.76363
Dutta, S.; Glimm, J.; Grove, J. W.; Sharp, D. H.; Zhang, Yongmin
2
2004
Sources of uncertainty and error in the simulation of flow in porous media. Zbl 1213.60110
Glimm, James; Hou, Shuling; Lee, Yoon-Ha; Sharp, David H.; Ye, Kenny
1
2004
Conservative front tracking with improved accuracy. Zbl 1053.35093
Glimm, James; Li, Xiaolin; Liu, Yingjie; Xu, Zhiliang; Zhao, Ning
48
2003
Rayleigh-Taylor and Richtmyer-Meshkov instabilities for fluids with a finite density ratio. Zbl 1058.76555
Abarzhi, S. I.; Nishihara, Katsunobu; Glimm, James G.
13
2003
Dynamics of two-dimensional Rayleigh-Taylor bubbles for fluids with a finite density contrast. Zbl 1186.76013
Abarzhi, Snezhana I.; Glimm, James; Lin, An-Der
5
2003
A two pressure numerical model of two fluid mixing. Zbl 1191.76101
Glimm, James; Jin, Hyeonseong; Laforest, Marc; Tangerman, Folkert; Zhang, Yongmin
5
2003
Solution error models for uncertainty quantification. Zbl 1276.62010
Glimm, J.; Hou, S.; Lee, Y.-H.; Sharp, D. H.; Ye, K.
2
2003
Interface tracking for axisymmetric flows. Zbl 1062.76034
Glimm, James; Grove, John W.; Zhang, Yongmin
14
2002
A three-dimensional renormalization group bubble merger model for Rayleigh-Taylor mixing. Zbl 1080.76579
Cheng, Baolian; Glimm, J.; Sharp, D. H.
11
2002
Nonuniform approach to terminal velocity for single mode Rayleigh-Taylor instability. Zbl 1114.76326
Glimm, James; Li, Xiao-lin; Lin, An-Der
6
2002
Conservative front tracking in one space dimension. Zbl 1014.65082
Glimm, James; Li, Xiao Lin; Liu, Yingjie
5
2002
Numerical study of axisymmetric Richtmyer-Meshkov instability and azimuthal effect on spherical mixing. Zbl 1126.76324
Glimm, James; Grove, John; Zhang, Yongmin; Dutta, Srabasti
5
2002
A multi-temperature multiphase flow model. Zbl 1060.76123
Cheng, B.; Glimm, J.; Sharp, D. H.
4
2002
A critical analysis of Rayleigh-Taylor growth rates. Zbl 1011.76057
Glimm, J.; Grove, J. W.; Li, X. L.; Oh, W.; Sharp, D. H.
41
2001
Conservative front tracking and level set algorithms. Zbl 1005.65091
Glimm, James; Li, Xiao Lin; Liu, Yingjie; Zhao, Ning
28
2001
Risk management for petroleum reservoir production: A simulation-based study of prediction. Zbl 0997.76084
Glimm, James; Hou, Shuling; Kim, Hongjoong; Lee, Yoon-ha; Sharp, David H.
6
2001
An asymptotic analysis of two-phase fluid mixing. Zbl 1037.76058
Glimm, J.; Jin, H.
3
2001
Robust computational algorithms for dynamic interface tracking in three dimensions. Zbl 0969.76062
Glimm, James; Grove, John W.; Li, X. L.; Tan, D. C.
38
2000
Simple front tracking. Zbl 0960.76058
Glimm, James; Grove, John W.; Li, X. L.; Zhao, N.
25
1999
Prediction and the quantification of uncertainty. Zbl 1194.76243
Glimm, J.; Sharp, D. H.
13
1999
Stochastic partial differential equations: Selected applications in continuum physics. Zbl 0935.60042
Glimm, James; Sharp, David
10
1999
Boundary conditions for a two pressure two-phase flow model. Zbl 1194.76276
Cheng, B. L.; Glimm, J.; Saltz, D.; Sharp, D. H.
9
1999
Three-dimensional front tracking. Zbl 0912.65075
Glimm, James; Grove, John W.; Li, Xiao Lin; Shyue, Keh-ming; Zeng, Yanni
115
1998
Front tracking in two and three dimensions. Zbl 1010.68538
Glimm, J.; Graham, M. J.; Grove, J.; Li, X. L.; Smith, T. M.; Tan, D.; Tangerman, F.; Zhang, Q.
28
1998
Stochastic methods for the prediction of complex multiscale phenomena. Zbl 0958.76072
Glimm, James; Sharp, David
8
1998
Two-pressure two-phase flow. Zbl 0929.35111
Glimm, J.; Saltz, D.; Sharp, D. H.
8
1998
A stochastic anlaysis of the scale up problem for flow in porous media. Zbl 0920.76084
Glimm, J.; Kim, H.; Sharp, D.; Wallstrom, T.
3
1998
Wave fronts for Hamilton-Jacobi equations: The general theory for Riemann solutions in \(\mathbb{R}^n\). Zbl 0923.70015
Glimm, J.; Kranzer, H. C.; Tan, D.; Tangerman, F. M.
5
1997
A mixed finite element method for Hele-Shaw cell equations. Zbl 0941.76052
Guevara-Jordan, J. M.; Glimm, J.
1
1997
Applications of front tracking to the simulation of resin transfer molding. Zbl 0890.76084
Song, Y.; Chui, W.; Glimm, J.; Lindquist, B.; Tangerman, F.
1
1997
Global solutions to the compressible Euler equations with geometrical structure. Zbl 0857.76073
Chen, Gui-Qiang; Glimm, James
51
1996
A two-phase flow model of the Rayleigh-Taylor mixing zone. Zbl 1025.76535
Chen, Yupin; Glimm, James; Sharp, David H.; Zhang, Qiang
15
1996
Numerical study for the three-dimensional Rayleigh-Taylor instability through the TVD/AC scheme and parallel computation. Zbl 0858.76055
Li, X. L.; Jin, B. X.; Glimm, J.
12
1996
Renormalization group solution of two-phase flow equations for Rayleigh-Taylor mixing. Zbl 0972.76512
Glimm, James; Saltz, David; Sharp, David H.
11
1996
Global solutions to the cylindrically symmetric rotating motion of isentropic gases. Zbl 0864.76080
Chen, Gui-Qiang; Glimm, James
4
1996
A model for rate-dependent plasticity. Zbl 0873.73034
Wang, Feng; Glimm, James; Plohr, Bradley J.
1
1995
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
9
1994
Electromagnetic scattering for dielectrics: Iterative methods for solving boundary integral equations. Zbl 0812.65123
Bielefeld, B.; Deng, Y.; Glimm, J.; Tangerman, F.; Asvestas, J. S.
1
1994
A conservative Eulerian numerical scheme for elastoplasticity and application to plate impact problems. Zbl 0787.73076
Wang, Feng; Glimm, James G.; Grove, John W.; Plohr, Bradley J.; Sharp, David H.
8
1993
A renormalization group scaling analysis for compressible two-phase flow. Zbl 0800.76489
Chen, Yupin; Deng, Yuefan; Glimm, James; Li, Gang; Zhang, Qiang; Sharp, David H.
5
1993
Inertial range scaling of laminar shear flow as a model of turbulent transport. Zbl 0749.76031
Zhang, Qiang; Glimm, James
9
1992
The multi-fractal hypothesis and anomalous diffusion. Zbl 0798.60094
Glimm, James; Lindquist, Brent; Pereira, Felipe; Peierls, Ron
1
1992
Multidimensional hyperbolic problems and computations. Proceedings of the IMA workshop, Minneapolis, MN (USA), April 3-14, 1989. Zbl 0718.00008
Glimm, James (ed.); Majda, Andrew J. (ed.)
14
1991
A random field model for anomalous diffusion in heterogeneous porous media. Zbl 0739.60092
Glimm, James; Sharp, David H.
9
1991
Nonlinear and stochastic phenomena: The grand challenge for partial differential equations. Zbl 0756.35070
Glimm, James
8
1991
Front tracking, oil reservoirs, engineering scale problems and mass conservation. Zbl 0729.76087
Glimm, James; Lindquist, Brent; Zhang, Qiang
1
1991
Nonlinear waves: Overview and problems. Zbl 0725.76003
Glimm, James
1
1991
A numerical study of bubble interactions in Rayleigh-Taylor instability for compressible fluids. Zbl 0713.76049
Glimm, J.; Li, X. L.; Menikoff, R.; Sharp, D. H.; Zhang, Q.
26
1990
Chaotic mixing as a renormalization-group fixed point. Zbl 1050.76543
Glimm, J.; Sharp, D. H.
11
1990
The legacy of John von Neumann. Proceedings of the summer research institute held at Hofstra University, Hempstead, New York, USA, May 29- June 4, 1988. Zbl 0699.00010
Glimm, James (ed.); Impagliazzo, John (ed.); Singer, Isadore (ed.)
1
1990
The continuous structure of discontinuities. Zbl 0991.80501
Glimm, J.
8
1989
Nonuniqueness of solutions for Riemann problems. Zbl 0677.35068
Glimm, J.
1
1989
Three remarks on the point tracking method. Zbl 0925.76431
Glimm, J.; Grove, J.; Li, X. L.
1
1989
The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces. Zbl 0641.76099
Gardner, C. L.; Glimm, J.; McBryan, O.; Menikoff, R.; Sharp, D. H.; Zhang, Q.
38
1988
The bifurcation of tracked scalar waves. Zbl 0636.65132
Glimm, James; Grove, John; Lindquist, Brent; McBryan, Oliver A.; Tryggvason, Gretar.
33
1988
The interaction of nonlinear hyperbolic waves. Zbl 0635.35067
Glimm, James
17
1988
Polymer floods: A case study of nonlinear wave analysis and of instability control in tertiary oil recovery. Zbl 0641.76093
Daripa, Prabir; Glimm, James; Lindquist, Brent; McBryan, Oliver
12
1988
The Bukiet-Jones theory of weak detonation waves in curvilinear geometry. Zbl 0669.76084
Glimm, James
2
1987
Elementary waves for hyperbolic equations in higher space dimensions: An example from petroleum reservoir modeling. Zbl 0618.35070
Glimm, J.; Sharp, D. H.
1
1987
Front tracking for gas dynamics. Zbl 0577.76068
Chern, I-L.; Glimm, J.; McBryan, O.; Plohr, B.; Yaniv, S.
67
1986
Front tracking applied to Rayleigh-Taylor instability. Zbl 0582.76107
Glimm, J.; McBryan, O.; Menikoff, R.; Sharp, D. H.
21
1986
Front tracking and two-dimensional Riemann problems. Zbl 0631.76068
Glimm, James; Klingenberg, Christian; McBryan, Oliver; Plohr, Bradley; Sharp, David; Yaniv, Sara
22
1985
Collected papers. Vol. 1: Quantum field theory and statistical mechanics. Expositions. Vol. 2: Constructive quantum field theory. Selected papers. Zbl 0574.01019
Glimm, James; Jaffe, Arthur
21
1985
A generalized Riemann problem for quasi-one-dimensional gas flows. Zbl 0566.76056
Glimm, James; Marshall, Guillermo; Plohr, Bradley
41
1984
Quantum physics. A functional integral point of view. (Matematicheskie metody kvantovoj fiziki. Podkhod s ispol’zovaniem funktional’nykh integralov). Zbl 0589.46061
Glimm, James; Jaffe, Arthur
6
1984
A front tracking reservoir simulator, five-spot validation studies and the water coning problem. Zbl 0546.76115
Glimm, James; Lindquist, Brent; McBryan, Oliver; Padmanabhan, L.
4
1983
...and 41 more Documents
all top 5

Cited by 2,859 Authors

70 Glimm, James G.
47 Chen, Gui-Qiang G.
27 Albeverio, Sergio A.
25 Sharp, David H.
23 Jaffe, Arthur Michael
22 LeFloch, Philippe Gerard
22 Liu, Tai-Ping
19 Jørgensen, Palle E. T.
16 Lu, Yunguang
15 Zhang, Yongqian
14 Archbold, Robert J.
14 Yang, Tong
13 Dafermos, Constantine M.
13 Elliott, George A.
13 Rivasseau, Vincent
12 Fröhlich, Jürg Martin
12 Grove, John W.
12 Hérard, Jean-Marc
12 Jenssen, Helge Kristian
12 Saurel, Richard
12 Smoller, Joel Alan
12 Temple, Blake
11 Colombo, Rinaldo M.
11 Li, Xiaolin
11 Liu, Tiegang
11 Röckner, Michael
11 Simon, Barry
10 Abarzhi, Snezhana I.
10 Bratteli, Ola
10 Bressan, Alberto
10 Christoforou, Cleopatra C.
10 Frid, Hermano
10 Hong, John Meng-Kai
10 Shao, Zhiqiang
10 Somerset, Douglas W. B.
10 Zheng, Yuxi
9 Chen, Geng
9 Ding, Min
9 DiPerna, Ronald J.
9 Feldman, Mikhail
9 Høegh-Krohn, Raphael J.
9 Hu, Yanbo
9 Jäkel, Christian D.
9 Jin, Hyeonseong
9 Khoo, Boo Cheong
9 Kishimoto, Akitaka
8 Arai, Asao
8 Asakura, Fumioki
8 Bianchini, Stefano
8 Daripa, Prabir K.
8 Fredenhagen, Klaus
8 Gross, Leonard
8 Marchesin, Dan
8 Miyao, Tadahiro
8 Risebro, Nils Henrik
8 Størmer, Erling
8 Takesaki, Masamichi
8 Zhang, Qiang
7 Ancona, Fabio
7 Floryan, Jerzy M.
7 Gielerak, Roman
7 Glass, Olivier
7 Gurau, Razvan
7 Li, Jiequan
7 Marson, Andrea
7 McBryan, Oliver A.
7 O’Carroll, Michael L.
7 Peng, Yuejun
7 Pukánszky, Lajos
7 Slade, Gordon
7 Toro, Eleuterio F.
7 Young, Robin L.
7 Yu, Yan
7 Zegarlinski, Boguslaw
6 Buchholz, Detlev
6 Chen, Shuxing
6 Coquel, Frédéric
6 Echterhoff, Siegfried
6 Gibou, Frédéric
6 Greenberg, James M.
6 Hiroshima, Fumio
6 Kaniuth, Eberhard
6 Kiessling, Michael Karl-Heinz
6 Lesniewski, Andrzej
6 Lim, Hyunkyung
6 Lin, Longwei
6 Lowengrub, John Samuel
6 Magajna, Bojan
6 Magnen, Jacques
6 Mangiavacchi, Norberto
6 Markeev, Anatoliĭ Pavlovich
6 Men’shov, Igor S.
6 Mishra, Siddhartha
6 Neeb, Karl-Hermann
6 Plohr, Bradley J.
6 Rhodes, Rémi
6 Sakai, Shoichiro
6 Sekhar, T. Raja
6 Serre, Denis
6 Shearer, Michael
...and 2,759 more Authors
all top 5

Cited in 359 Serials

226 Communications in Mathematical Physics
223 Journal of Computational Physics
141 Journal of Functional Analysis
81 Journal of Differential Equations
64 Journal of Statistical Physics
62 Archive for Rational Mechanics and Analysis
61 Journal of Mathematical Physics
54 Journal of Mathematical Analysis and Applications
51 Computers and Fluids
50 Transactions of the American Mathematical Society
35 Physics of Fluids
33 Journal of Hyperbolic Differential Equations
28 Annals of Physics
26 Communications in Partial Differential Equations
24 Journal of Scientific Computing
23 Computer Methods in Applied Mechanics and Engineering
21 International Journal for Numerical Methods in Fluids
21 Bulletin of the American Mathematical Society
20 Reports on Mathematical Physics
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Proceedings of the American Mathematical Society
20 Tohoku Mathematical Journal. Second Series
19 Letters in Mathematical Physics
19 Inventiones Mathematicae
18 Computers & Mathematics with Applications
18 Journal of Fluid Mechanics
18 Mathematische Annalen
16 Bulletin of the American Mathematical Society. New Series
15 Theoretical and Mathematical Physics
15 Advances in Mathematics
15 Journal of Computational and Applied Mathematics
15 Advances in Applied Mathematics
15 Physica D
15 Applied Mathematics Letters
15 Annales Henri Poincaré
14 Nuclear Physics. B
14 Physics Letters. A
14 Nonlinear Analysis. Real World Applications
13 Reviews in Mathematical Physics
12 International Journal of Theoretical Physics
12 Acta Mathematica
12 Applied Mathematics and Computation
11 Acta Mathematicae Applicatae Sinica. English Series
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Mathematics of Computation
10 The Annals of Probability
10 Applied Numerical Mathematics
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 SIAM Journal on Mathematical Analysis
10 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Discrete and Continuous Dynamical Systems
10 Computational Geosciences
9 Wave Motion
9 Mathematische Zeitschrift
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Journal of Mathematical Sciences (New York)
9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
8 Israel Journal of Mathematics
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Integral Equations and Operator Theory
8 Journal of Soviet Mathematics
8 Acta Applicandae Mathematicae
8 Journal of the American Mathematical Society
8 Japan Journal of Industrial and Applied Mathematics
8 Proceedings of the National Academy of Sciences of the United States of America
7 Communications on Pure and Applied Mathematics
7 Physics of Fluids, A
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 International Journal for Numerical Methods in Engineering
7 Mathematics and Computers in Simulation
7 Monatshefte für Mathematik
7 Quarterly of Applied Mathematics
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
7 Journal of High Energy Physics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Physics Reports
6 Duke Mathematical Journal
6 Numerische Mathematik
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Ergodic Theory and Dynamical Systems
6 Bulletin of the Brazilian Mathematical Society. New Series
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Nonlinearity
5 Physics Letters. B
5 Rocky Mountain Journal of Mathematics
5 Journal of Geometry and Physics
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
5 Studies in Applied Mathematics
5 Chinese Annals of Mathematics. Series B
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Stochastic Processes and their Applications
5 Expositiones Mathematicae
5 Nuclear Physics, B, Proceedings Supplements
5 Acta Mathematica Sinica. English Series
5 Communications in Nonlinear Science and Numerical Simulation
5 Multiscale Modeling & Simulation
5 Proceedings of the Japan Academy
5 Advances in Mathematical Physics
...and 259 more Serials
all top 5

Cited in 60 Fields

799 Partial differential equations (35-XX)
795 Fluid mechanics (76-XX)
459 Quantum theory (81-XX)
389 Functional analysis (46-XX)
321 Numerical analysis (65-XX)
238 Probability theory and stochastic processes (60-XX)
219 Statistical mechanics, structure of matter (82-XX)
211 Operator theory (47-XX)
91 Topological groups, Lie groups (22-XX)
81 Mechanics of deformable solids (74-XX)
80 Global analysis, analysis on manifolds (58-XX)
50 Dynamical systems and ergodic theory (37-XX)
48 Measure and integration (28-XX)
46 Relativity and gravitational theory (83-XX)
44 Differential geometry (53-XX)
37 Abstract harmonic analysis (43-XX)
32 Classical thermodynamics, heat transfer (80-XX)
29 Mathematical logic and foundations (03-XX)
27 Mechanics of particles and systems (70-XX)
26 Optics, electromagnetic theory (78-XX)
21 Geophysics (86-XX)
20 Biology and other natural sciences (92-XX)
16 Ordinary differential equations (34-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 General and overarching topics; collections (00-XX)
15 History and biography (01-XX)
15 Group theory and generalizations (20-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
13 General topology (54-XX)
13 Manifolds and cell complexes (57-XX)
13 Operations research, mathematical programming (90-XX)
12 Associative rings and algebras (16-XX)
12 Nonassociative rings and algebras (17-XX)
12 Systems theory; control (93-XX)
11 Combinatorics (05-XX)
10 Real functions (26-XX)
10 Functions of a complex variable (30-XX)
9 Number theory (11-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Potential theory (31-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Statistics (62-XX)
8 Computer science (68-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Approximations and expansions (41-XX)
7 Astronomy and astrophysics (85-XX)
6 \(K\)-theory (19-XX)
6 Integral transforms, operational calculus (44-XX)
6 Integral equations (45-XX)
5 Category theory; homological algebra (18-XX)
5 Special functions (33-XX)
4 Algebraic geometry (14-XX)
4 Difference and functional equations (39-XX)
4 Geometry (51-XX)
3 Sequences, series, summability (40-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Algebraic topology (55-XX)
2 Information and communication theory, circuits (94-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.