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## Russell, Thomas F.

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 Author ID: russell.thomas-f Published as: Russell, T.; Russell, T. F.; Russell, Thomas; Russell, Thomas F.
 Documents Indexed: 39 Publications since 1977
all top 5

#### Co-Authors

 3 single-authored 7 Ewing, Richard Edward 5 Wheeler, Mary Fanett 2 Cai, Zhiqiang 2 Jarman, Kenneth D. 2 McCormick, Steve Fahrney 2 Wilson, John David 1 Arbogast, Todd 1 Celia, Michael A. 1 Dahle, Helge K. 1 Dawson, Clint N. 1 Douglas, Jim jun. 1 Hayes, Linda J. 1 Herrera, Ismael 1 Hu, Xuecai 1 Huang, Chieh-Sen 1 Jones, Jim E. 1 Klausen, Runhild Aae 1 Krishnamachari, S. V. 1 Lazarov, Raytcho D. 1 Manteuffel, Thomas A. 1 Naff, Richard L. 1 Parashkevov, Rossen R. 1 Vassilevski, Panayot Spirov 1 Wang, Hong 1 Ye, Xiu 1 Yotov, Ivan
all top 5

#### Serials

 8 SIAM Journal on Numerical Analysis 3 Computational Geosciences 2 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Scientific Computing 1 Multiscale Modeling & Simulation

#### Fields

 14 Fluid mechanics (76-XX) 13 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 3 Geophysics (86-XX) 1 Ordinary differential equations (34-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 955 times in 650 Documents Cited by Year
Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051
Douglas, Jim jun.; Russell, Thomas F.
1982
Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0545.76131
Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett
1984
Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. Zbl 0594.76087
Russell, Thomas F.
1985
Some improved error estimates for the modified method of characteristics. Zbl 0693.65062
Dawson, C. N.; Russell, T. F.; Wheeler, M. F.
1989
Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089
Russell, Thomas F.; Wheeler, Mary Fanett
1983
Control-volume mixed finite element methods. Zbl 0941.76050
Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F.
1997
Relationships among some locally conservative discretization methods which handle discontinuous coefficients. Zbl 1124.76030
Klausen, R. A.; Russell, T. F.
2005
Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis. Zbl 0830.65095
Wang, Hong; Ewing, Richard E.; Russell, Thomas F.
1995
Efficient time-stepping methods for miscible displacement problems in porous media. Zbl 0498.76084
Ewing, Richard E.; Russell, Thomas F.
1982
Eulerian-Lagrangian localized adjoint method: The theoretical framework. Zbl 0784.65071
Herrera, Ismael; Ewing, Richard E.; Celia, Michael A.; Russell, Thomas F.
1993
Shape functions for velocity interpolation in general hexahedral cells. Zbl 1094.76542
Naff, R. L.; Russell, T. F.; Wilson, J. D.
2002
Dahle, Helge K.; Ewing, Richard E.; Russell, Thomas F.
1995
Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080
Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S.
1990
Superconvergence for control-volume mixed finite element methods on rectangular grids. Zbl 1160.65055
Russell, Thomas F.; Wheeler, Mary F.; Yotov, Ivan
2007
The geometric structure of some systems of demand equations. Zbl 0804.90029
Russell, Thomas; Farris, Frank
1993
Relationships among some conservative discretization methods. Zbl 1010.76064
Russell, Thomas F.
2000
A finite element alternating-direction method combined with a modified method of characteristics for convection-diffusion problems. Zbl 0693.65061
Krishnamachari, S. V.; Hayes, L. J.; Russell, T. F.
1989
Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0535.76116
Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett
1984
Eulerian moment equations for 2-D stochastic immiscible flow. Zbl 1058.76068
Jarman, Kenneth D.; Russell, Thomas F.
2003
Domain decomposition for a mixed finite element method in three dimensions. Zbl 1057.65095
Cai, Z.; Parashkevov, R. R.; Russell, T. F.; Wilson, J. D.; Ye, X.
2003
Russell, T. F.
1990
On a theorem of Gorman. Zbl 1273.91279
Russell, Thomas
1983
Indeterminate growth paths and stability. Zbl 1037.91567
Russell, Thomas; Zecevic, Aleksandar
2000
Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100
Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F.
1995
A locally conservative Eulerian-Lagrangian method for a model two-phase flow problem in a one-dimensional porous medium. Zbl 1250.76135
Arbogast, Todd; Huang, Chieh-Sen; Russell, Thomas F.
2012
Analysis of 1-D moment equations for immiscible flow. Zbl 1013.76088
Jarman, Kenneth D.; Russell, Thomas F.
2002
Lyapunov stability, regions of attraction, and indeterminate growth paths. Zbl 0908.90053
Russell, Thomas; Zecevic, Aleksandar
1998
Symplectic geometry: the natural geometry of economics? Zbl 1258.91050
Russell, Thomas
2011
Integrability, Gorman systems, and the Lie bracket structure of the real line. Zbl 0953.91031
Russell, Thomas; Farris, Frank
1998
How quasi-rational are you?: A behavioral interpretation of a two form which measures non-integrability of a system of demand equations. Zbl 0896.90062
Russell, Thomas
1997
Gorman demand systems and Lie transformation groups:. Zbl 0875.90245
Russell, Thomas
1996
A new approach to portfolio theory. Zbl 1273.91429
Russell, Thomas
1985
A locally conservative Eulerian-Lagrangian method for a model two-phase flow problem in a one-dimensional porous medium. Zbl 1250.76135
Arbogast, Todd; Huang, Chieh-Sen; Russell, Thomas F.
2012
Symplectic geometry: the natural geometry of economics? Zbl 1258.91050
Russell, Thomas
2011
Superconvergence for control-volume mixed finite element methods on rectangular grids. Zbl 1160.65055
Russell, Thomas F.; Wheeler, Mary F.; Yotov, Ivan
2007
Relationships among some locally conservative discretization methods which handle discontinuous coefficients. Zbl 1124.76030
Klausen, R. A.; Russell, T. F.
2005
Eulerian moment equations for 2-D stochastic immiscible flow. Zbl 1058.76068
Jarman, Kenneth D.; Russell, Thomas F.
2003
Domain decomposition for a mixed finite element method in three dimensions. Zbl 1057.65095
Cai, Z.; Parashkevov, R. R.; Russell, T. F.; Wilson, J. D.; Ye, X.
2003
Shape functions for velocity interpolation in general hexahedral cells. Zbl 1094.76542
Naff, R. L.; Russell, T. F.; Wilson, J. D.
2002
Analysis of 1-D moment equations for immiscible flow. Zbl 1013.76088
Jarman, Kenneth D.; Russell, Thomas F.
2002
Relationships among some conservative discretization methods. Zbl 1010.76064
Russell, Thomas F.
2000
Indeterminate growth paths and stability. Zbl 1037.91567
Russell, Thomas; Zecevic, Aleksandar
2000
Lyapunov stability, regions of attraction, and indeterminate growth paths. Zbl 0908.90053
Russell, Thomas; Zecevic, Aleksandar
1998
Integrability, Gorman systems, and the Lie bracket structure of the real line. Zbl 0953.91031
Russell, Thomas; Farris, Frank
1998
Control-volume mixed finite element methods. Zbl 0941.76050
Cai, Z.; Jones, J. E.; McCormick, S. F.; Russell, T. F.
1997
How quasi-rational are you?: A behavioral interpretation of a two form which measures non-integrability of a system of demand equations. Zbl 0896.90062
Russell, Thomas
1997
Gorman demand systems and Lie transformation groups:. Zbl 0875.90245
Russell, Thomas
1996
Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis. Zbl 0830.65095
Wang, Hong; Ewing, Richard E.; Russell, Thomas F.
1995
Dahle, Helge K.; Ewing, Richard E.; Russell, Thomas F.
1995
Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100
Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F.
1995
Eulerian-Lagrangian localized adjoint method: The theoretical framework. Zbl 0784.65071
Herrera, Ismael; Ewing, Richard E.; Celia, Michael A.; Russell, Thomas F.
1993
The geometric structure of some systems of demand equations. Zbl 0804.90029
Russell, Thomas; Farris, Frank
1993
Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080
Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S.
1990
Russell, T. F.
1990
Some improved error estimates for the modified method of characteristics. Zbl 0693.65062
Dawson, C. N.; Russell, T. F.; Wheeler, M. F.
1989
A finite element alternating-direction method combined with a modified method of characteristics for convection-diffusion problems. Zbl 0693.65061
Krishnamachari, S. V.; Hayes, L. J.; Russell, T. F.
1989
Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. Zbl 0594.76087
Russell, Thomas F.
1985
A new approach to portfolio theory. Zbl 1273.91429
Russell, Thomas
1985
Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0545.76131
Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett
1984
Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics. Zbl 0535.76116
Ewing, Richard E.; Russell, Thomas F.; Wheeler, Mary Fanett
1984
Finite element and finite difference methods for continuous flows in porous media. Zbl 0572.76089
Russell, Thomas F.; Wheeler, Mary Fanett
1983
On a theorem of Gorman. Zbl 1273.91279
Russell, Thomas
1983
Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051
Douglas, Jim jun.; Russell, Thomas F.
1982
Efficient time-stepping methods for miscible displacement problems in porous media. Zbl 0498.76084
Ewing, Richard E.; Russell, Thomas F.
1982
all top 5

#### Cited by 857 Authors

 41 Yuan, Yirang 26 Wang, Hong 23 Ewing, Richard Edward 21 Rui, Hongxing 18 Li, Changfeng 16 Wheeler, Mary Fanett 15 Zhang, Jiansong 13 Seaïd, Mohammed 13 Sun, Tongjun 12 Liang, Dong 11 Chen, Zhangxin 9 Bermejo, Rodolfo 9 Chen, Huanzhen 9 El-Amrani, Mofdi 9 Fu, Hongfei 9 He, Yinnian 9 Si, Zhiyong 9 Vázquez Cendón, Carlos 9 Yotov, Ivan 8 Arbogast, Todd 8 Chen, Yanping 8 Cheng, Aijie 8 Feng, Xinlong 8 Guo, Hui 8 Shi, Dongyang 8 Wang, Kaixin 7 Li, Hong 7 Oñate Ibáñez de Navarra, Eugenio 7 Tabata, Masahisa 7 Wang, Wenqia 6 Chen, Chuanjun 6 Fang, Zhichao 6 Fu, Kai 6 Huang, Chieh-Sen 6 Russell, Thomas S. 6 Yang, Danping 6 Yang, Qing 5 Al-Lawatia, Mohamed 5 Bermúdez, Alfredo 5 Chen-Charpentier, Benito M. 5 Codina, Ramon 5 Huang, Yunqing 5 Kojouharov, Hristo V. 5 Liu, Jiangguo 5 Liu, Yunxin 5 Rivière, Beatrice M. 5 Saavedra, Laura 5 Song, Huailing 5 Sun, Shuyu 5 Zhu, Jiang 4 Bermúdez, Ana 4 Cui, Ming 4 Douglas, Jim jun. 4 Du, Ning 4 Durany, José 4 Edwards, Michael G. 4 Gao, Fuzheng 4 Han, Yuji 4 Herrera, Ismael 4 Hu, Hanzhang 4 Jiang, Ziwen 4 Klausen, Runhild Aae 4 Kumar, Sarvesh 4 Kwak, Do Young 4 Lapin, Aleksandr Vasil’evich 4 Lee, Youngju 4 Liu, Yang 4 Loula, Abimael Fernando Dourado 4 Ma, Keying 4 Nadukandi, Prashanth 4 Notsu, Hirofumi 4 Ohm, Mi-Ray 4 Pironneau, Olivier 4 Qin, Guan 4 Russell, Thomas F. 4 Shashkov, Mikhail J. 4 Shin, Jun Yong 4 Süli, Endre E. 4 Sun, Weiwei 4 Xu, Jinchao 4 Yang, Daoqi 4 Younes, Anis 4 Yuan, Guangwei 4 Zhang, Zhiyue 4 Zhou, Jie 3 Benítez, Marta 3 Bi, Chunjia 3 Chen, Fengxin 3 Chen, Hongsen 3 Chen, Zhiming 3 Chou, So-Hsiang 3 Dahle, Helge K. 3 Dawson, Paul R. 3 Droniou, Jérôme 3 Eigestad, Geir Terje 3 Eymard, Robert 3 Garcia-Espinosa, Julio 3 He, Xiaoming 3 Hiptmair, Ralf 3 Kacur, Jozef ...and 757 more Authors
all top 5

#### Cited in 116 Serials

 71 Computer Methods in Applied Mechanics and Engineering 50 Journal of Computational and Applied Mathematics 48 Journal of Computational Physics 40 Numerical Methods for Partial Differential Equations 37 Applied Mathematics and Computation 33 Journal of Scientific Computing 32 Computers & Mathematics with Applications 26 Applied Numerical Mathematics 20 Numerische Mathematik 20 Computational Geosciences 13 Mathematics of Computation 11 International Journal of Computer Mathematics 10 International Journal for Numerical Methods in Fluids 10 Applied Mathematics and Mechanics. (English Edition) 9 International Journal for Numerical Methods in Engineering 8 SIAM Journal on Scientific Computing 6 Acta Mathematicae Applicatae Sinica. English Series 6 Economics Letters 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Communications in Numerical Methods in Engineering 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Applicable Analysis 5 Numerical Algorithms 5 Applied Mathematical Modelling 5 Abstract and Applied Analysis 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Journal of Systems Science and Complexity 4 Mathematical Methods in the Applied Sciences 4 Computing 4 Mathematics and Computers in Simulation 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Applied Mathematics. Series B (English Edition) 4 Engineering Analysis with Boundary Elements 4 Journal of Applied Mathematics 3 Computers and Fluids 3 Journal of Mathematical Analysis and Applications 3 Journal of Econometrics 3 SIAM Journal on Numerical Analysis 3 Journal of Economic Dynamics & Control 3 Advances in Computational Mathematics 3 Journal of Applied Mathematics and Computing 3 East Asian Mathematical Journal 2 Transport Theory and Statistical Physics 2 Calcolo 2 Journal of Economic Theory 2 Journal of Mathematical Economics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Computational Mechanics 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Numerical Linear Algebra with Applications 2 International Journal of Computational Fluid Dynamics 2 Discrete Dynamics in Nature and Society 2 Lobachevskii Journal of Mathematics 2 Foundations of Computational Mathematics 2 Multiscale Modeling & Simulation 2 International Journal of Computational Methods 2 Advances in Difference Equations 2 Advances in Mathematical Physics 2 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Engineering Science 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Physics of Fluids, A 1 Theoretical and Computational Fluid Dynamics 1 Applied Mathematics and Optimization 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 RAIRO. Analyse Numérique 1 Zeitschrift für Analysis und ihre Anwendungen 1 Mathematical Social Sciences 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 The Annals of Applied Probability 1 Journal of Non-Newtonian Fluid Mechanics 1 Chinese Science Bulletin 1 Computational Optimization and Applications 1 Electronic Journal of Differential Equations (EJDE) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Quantitative Finance 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Numerical Mathematics 1 Mediterranean Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Boundary Value Problems ...and 16 more Serials
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#### Cited in 31 Fields

 486 Numerical analysis (65-XX) 358 Fluid mechanics (76-XX) 239 Partial differential equations (35-XX) 34 Geophysics (86-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Biology and other natural sciences (92-XX) 21 Mechanics of deformable solids (74-XX) 19 Classical thermodynamics, heat transfer (80-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 10 Probability theory and stochastic processes (60-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Optics, electromagnetic theory (78-XX) 5 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)