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## Douglas, Jim jun.

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 Author ID: douglas.jim-jun Published as: Douglas, Jim jun.; Douglas, J. jun.; Douglas, Jim; Douglas, J.; Douglas jun., Jim Homepage: http://www.math.purdue.edu/news/2016/douglas_obit.php External Links: MGP · dblp
 Documents Indexed: 184 Publications since 1955, including 3 Books Biographic References: 2 Publications
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#### Co-Authors

 37 single-authored 26 Dupont, Todd F. 16 Pereira, Felipe 14 Santos, Juan Enrique 14 Wheeler, Mary Fanett 8 Yeh, Li-Ming 7 Brezzi, Franco 7 Sheen, Dongwoo 6 Cannon, John Rozier 6 Huang, Chieh-Sen 5 Cai, Zhiqiang 5 Gupta, Chaitan P. 5 Hensley, Jeffrey L. jun. 5 Roberts, Jean Elizabeth 5 Spagnuolo, Anna Maria 4 Arbogast, Todd 4 Arnold, Douglas Norman 4 Furtado, Frederico 4 Kendall, Richard P. 4 Marini, Luisa Donatella 4 Wang, Junping 3 Chen, Zhangxin 3 Darlow, Bruce L. 3 Douglas, Craig C. 3 Durán, Ricardo G. 3 Ewing, Richard Edward 3 Gallie, T. M. jun. 3 Gunn, James Edward 3 Hornung, Ulrich 3 Jones, B. Frank jun. 3 Kim, Seongjai 3 Milner, Fabio Augusto 3 Paes-Leme, Paulo Jorge 3 Ye, Xiu 2 Abreu, Eduardo 2 Fortin, Michel 2 Li, Guangyu 2 Lim, Hyeona 2 Morley, Mary E. 2 Pearcy, Carl Mark Jr. 2 Percell, Peter B. 2 Pietra, Paola 2 Rachford, Henry H. jun. 2 Wahlbin, Lars B. 2 Yi, Son-Young jun. 2 Yuan, Yirang 1 Almeida, César 1 Calderon, Alberto Pedro 1 de Moura, Carlos A. 1 Edlund, S. 1 Fragoso, Marcelo Dutra 1 Frias, Diego G. 1 Fyfe, D. E. 1 Martínez Gamba, Irene 1 Garder, Arthur O. jun. 1 Giorgi, Tiziana 1 Hill, C. Denson 1 Kaufman, J. H. 1 Kellogg, Bruce 1 Kischinhevsky, Mauricio 1 Kubrusly, Carlos S. 1 Leme, P. J. Paes 1 Lovera, Oscar M. 1 Ma, Jin 1 Marchesin, Dan 1 Olsen, Elwood T. 1 Park, Moongyu 1 Protter, Philip Elliott 1 Roman, Luis Carlos 1 Russell, Thomas F. 1 Schreyer Bennethum, Lynn 1 Scott, Larkin Ridgway 1 Serrin, James 1 Squeff, Maria Cristina J. 1 Thoens, C. 1 Thomée, Vidar 1 van Duijn, Cornelis Johannes 1 Varga, Richard Steven
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#### Serials

 19 Numerische Mathematik 12 Mathematics of Computation 9 Calcolo 9 SIAM Journal on Numerical Analysis 8 Matemática Aplicada e Computacional 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Computational and Applied Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 RAIRO. Analyse Numérique 4 Computational Geosciences 4 Journal of the Society for Industrial & Applied Mathematics 3 Proceedings of the American Mathematical Society 2 BIT 2 Duke Mathematical Journal 2 Journal of the Association for Computing Machinery 2 Transactions of the American Mathematical Society 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Journal of Mathematics and Mechanics 2 Journal of Mathematics and Physics 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico 1 Applied Numerical Mathematics 1 Japan Journal of Applied Mathematics 1 Numerical Methods for Partial Differential Equations 1 The Annals of Applied Probability 1 Applications of Mathematics 1 SIAM Journal on Mathematical Analysis 1 East-West Journal of Numerical Mathematics 1 Advances in Computational Mathematics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Advances in Computers 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Mathematics 1 Communications in Computational Physics 1 Journal of Theoretical Biology 1 International Journal of Numerical Analysis and Modeling. Series B
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#### Fields

 107 Numerical analysis (65-XX) 67 Partial differential equations (35-XX) 58 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 4 Optics, electromagnetic theory (78-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

157 Publications have been cited 4,976 times in 3,388 Documents Cited by Year
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
1985
On the numerical solution of heat conduction problems in two and three space variables. Zbl 0070.35401
Douglas, Jim jun.; Rachford, H. H. jun.
1956
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
Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109
Douglas, Jim jun.; Roberts, Jean E.
1985
Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106
Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich
1990
An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051
Douglas, Jim jun.; Wang, Junping
1989
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
1984
The approximation of the pressure by a mixed method in the simulation of miscible displacement. Zbl 0516.76094
Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett
1983
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
1987
A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems. Zbl 0141.33103
Douglas, Jim jun.; Gunn, J. E.
1964
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
1988
Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065
Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella
1987
A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066
Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P.
1984
Galerkin methods for parabolic equations. Zbl 0224.35048
Douglas, Jim jun.; Dupont, Todd
1970
Alternating direction methods for three space variables. Zbl 0104.35001
Douglas, Jim jun.
1962
A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094
Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett
1983
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu
1999
On the numerical integration of $$\partial^2u/\partial x^2+\partial^2u/\partial y^2=\partial u/\partial t$$ by implicit methods. Zbl 0067.35802
Douglas, Jim jun.
1955
Numerical methods for a model for compressible miscible displacement in porous media. Zbl 0537.76062
Douglas, Jim jun.; Roberts, Jean E.
1983
Finite difference methods for two-phase incompressible flow in porous media. Zbl 0519.76107
Douglas, Jim jun.
1983
Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051
Douglas, Jim jun.; Dupont, Todd
1974
Numerical methods for forward-backward stochastic differential equations. Zbl 0861.65131
Douglas, Jim jun.; Ma, Jin; Protter, Philip
1996
The stability in L$$^q$$ of the L$$^2$$-projection into finite element function spaces. Zbl 0297.41022
Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars
1975
A Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072
Douglas, Jim jun.; Dupont, Todd
1975
Improved accuracy for locally one-dimensional methods for parabolic equations. Zbl 1012.65095
Douglas, Jim jun.; Kim, Seongjai
2001
A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047
Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu
1999
Optimal $$L_\infty$$ error estimates for Galerkin approximations to solutions of two-point boundary value problems. Zbl 0306.65053
Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars
1975
Mixed finite element methods for second order elliptic problems. Zbl 0482.65057
Douglas, Jim jun.; Roberts, J. E.
1982
On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs. Zbl 0963.76549
Douglas, Jim jun.; Furtado, Frederico; Pereira, Felipe
1997
Douglas, Jim jun.; Huang, Chieh-Sen; Pereira, Felipe
1999
Collocation methods for parabolic equations in a single space variable. Based on C$$^1$$-piecewise-polynomial spaces. Zbl 0279.65097
Douglas, Jim jun.; Dupont, Todd
1974
Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087
Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu
2003
On the numerical integration of a parabolic differential equation subject to a moving boundary condition. Zbl 0066.10503
Douglas, Jim jun.; Gallie, T. M. jun.
1955
Frequency domain treatment of one-dimensional scalar waves. Zbl 0783.65070
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Bennethum, Lynn Schreyer
1993
A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122
Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping
1993
The Cauchy problem for the heat equations. Zbl 0154.36502
Cannon, J. R.; Douglas, Jim jun.
1967
Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096
Douglas, Jim jun.; Dupont, Todd
1973
Approximation of scalar waves in the space-frequency domain. Zbl 0812.35173
Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E.
1994
An $$L^\infty$$ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. Zbl 0315.65062
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett
1974
A family of $$C^1$$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068
Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway
1979
Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064
Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E.
1979
Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062
Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar
1981
Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017
Douglas, Jim jun.; Dupont, Todd; Serrin, James
1971
Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089
Chen, Z.; Douglas, J. jun.
1989
A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050
Douglas, Jim jun.; Dupont, Todd
1973
Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124
Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X.
2000
A locally conservative Eulerian–Lagrangian numerical method and its application to nonlinear transport in porous media. Zbl 0969.76069
Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming
2000
A survey of numerical methods for parabolic differential equations. Zbl 0133.38503
Douglas, Jim jun.
1961
A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1978
A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. Zbl 0315.65063
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett
1974
A multi-boundary Stefan problem and the disappearance of phase. Zbl 0154.36501
Cannon, J. R.; Douglas, Jim jun.; Hill, C. D.
1967
Numerical methods for integrodifferential equations of parabolic and hyperbolic types. Zbl 0135.18002
Douglas, Jim jun.; Jones, B. F. jun.
1962
Generalized Forchheimer flow in porous media. Zbl 0805.35060
Douglas, Jim jun.; Paes-Leme, Paulo Jorge; Giorgi, Tiziana
1993
Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046
Douglas, Jim jun.; Dupont, Todd
1973
Superconvergence in the pressure in the simulation of miscible displacement. Zbl 0624.65124
Douglas, Jim jun.
1985
Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110
Arbogast, T.; Douglas, J. jun.; Hornung, U.
1991
On predictor-corrector methods for nonlinear parabolic differential equations. Zbl 0116.09104
Douglas, Jim jun.; Jones, B. Jim jun.
1963
Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110
Douglas, Jim jun.; Milner, F. A.
1985
Numerical methods for a model of population dynamics. Zbl 0658.65145
Douglas, J. jun.; Milner, F. A.
1987
Alternating direction iteration for mildly nonlinear elliptic difference equations. Zbl 0115.34702
Douglas, Jim jun.
1961
Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084
Douglas, Jim jun.; Wang, Junping
1989
Numerical methods for viscous and nonviscous wave equations. Zbl 1116.65104
Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun.
2007
Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124
Douglas, Jim jun.; Yuan, Yirang
1987
On the numerical integration of quasi-linear parabolic differential equations. Zbl 0074.11002
Douglas, Jim jun.
1956
A uniqueness theorem for the solution of a Stefan problem. Zbl 0077.40504
Douglas, Jim jun.
1957
On convergence of alternating direction procedures in the presence of singular operators. Zbl 0115.34701
Douglas, Jim jun.; Pearcy, C. M.
1963
An accelerated domain decomposition procedure based on Robin transmission conditions. Zbl 0886.65114
Douglas, J. jun.; Huang, C.-S.
1997
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
1986
The stability of the boundary in a Stefan problem. Zbl 0154.36402
Cannon, J. R.; Douglas, Jim jun.
1967
Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088
Douglas, Jim jun.; Dupont, Todd
1971
Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073
Brezzi, F.; Douglas, Jim jun.; Marini, L. D.
1985
The determination of a coefficient in a parabolic differential equation. II: Numerical approximation. Zbl 0112.32603
Douglas, Jim jun.; Jones, B. F. jun.
1962
Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093
Chen, Zhangxin; Douglas, Jim jun.
1991
Bounds on spectral condition numbers of matrices arising in the $$p$$- version of the finite element method. Zbl 0834.65034
Olsen, Elwood T.; Douglas, Jim jun.
1995
Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0545.76128
Douglas, Jim jun.; Wheeler, Mary Fanett; Darlow, Bruce L.; Kendall, Richard P.
1984
The solution of the diffusion equation by a high order correct difference equation. Zbl 0071.09304
Douglas, Jim jun.
1956
Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123
Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J.
1986
On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations. Zbl 0072.14703
Douglas, Jim jun.
1956
The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060
Douglas, Jim jun.; Dupont, Todd
1975
A nonconforming mixed finite element method for Maxwell’s equations. Zbl 1010.78013
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo
2000
An improved alternating-direction method for a viscous wave equation. Zbl 1054.76062
Douglas, Jim jun.; Kim, Seongjai; Lim, Hyeona
2003
A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel. Zbl 0772.65020
Douglas, Craig C.; Douglas, Jim jun.
1993
Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Zbl 1158.76346
Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F.
2006
Two high-order correct difference analogues for the equation of multidimensional heat flow. Zbl 0116.09105
Douglas, Jim jun.; Gunn, J. E.
1963
Operator splitting for three-phase flow in heterogeneous porous media. Zbl 1364.76233
Abreu, E.; Douglas, J.; Furtado, F.; Pereira, F.
2009
A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516
Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd
1991
The numerical simulation of miscible displacement in porous media. Zbl 0439.76087
Douglas, Jim jun.
1980
A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation. Zbl 0992.65090
Douglas, Jim jun.; Huang, Chieh-Sen
2001
Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow. Zbl 0535.76121
Douglas, Jim jun.; Darlow, Bruce L.; Wheeler, Mary Fanett; Kendall, Richard P.
1984
A note on the alternating direction implicit method for the numerical solution of heat flow problems. Zbl 0077.11304
Douglas, Jim jun.
1957
The application of stability analysis in the numerical solution of quasi- linear parabolic differential equations. Zbl 0084.34702
Douglas, Jim jun.
1959
Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094
Arnold, D. N.; Douglas, Jim jun.
1979
Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100
Douglas, Jim jun.
1982
A parallelizable approach to the simulation of waves in dispersive media. Zbl 0879.73081
Douglas, Jim jun.; Pereira, Felipe; Santos, Juan E.
1995
Finite element methods for a model of full waveform acoustic logging. Zbl 0664.76109
Santos, Juan Enrique; Douglas, Jim jun.; Morley, Mary E.; Lovera, Oscar M.
1988
Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093
Douglas, Jim jun.; Milner, F. A.
1983
A parallelizable method for two-phase flows in naturally-fractured reservoirs. Zbl 0941.76051
Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming
1997
An approximate solution of an improper boundary value problem. Zbl 0092.31601
Douglas, Jim jun.; Gallie, T. M. jun.
1959
Alternating direction methods for parabolic systems in $$m$$ space variables. Zbl 0112.35104
Douglas, Jim jun.; Gunn, J. E.
1962
A new family of mixed finite element spaces over rectangles. Zbl 0806.65109
Douglas, Jim jun.; Wang, Junping
1993
The effect of antibody-dependent enhancement, cross immunity, and vector population on the dynamics of dengue fever. Zbl 1406.92577
Hu, K.; Thoens, C.; Bianco, S.; Edlund, S.; Davis, M.; Douglas, J.; Kaufman, J. H.
2013
The convergence of a multidimensional, locally conservative Eulerian-Lagrangian finite element method for a semilinear parabolic equation. Zbl 1187.65100
Douglas, Jim jun.; Spagnuolo, Anna Maria; Yi, Son-Young
2010
Operator splitting for three-phase flow in heterogeneous porous media. Zbl 1364.76233
Abreu, E.; Douglas, J.; Furtado, F.; Pereira, F.
2009
Numerical methods for viscous and nonviscous wave equations. Zbl 1116.65104
Lim, Hyeona; Kim, Seongjai; Douglas, Jim jun.
2007
Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Zbl 1158.76346
Abreu, E.; Douglas, J. jun.; Furtado, F.; Marchesin, D.; Pereira, F.
2006
Development and analysis of higher order finite volume methods over rectangles for elliptic equations. Zbl 1020.65087
Cai, Zhiqiang; Douglas, Jim jun.; Park, Moongyu
2003
An improved alternating-direction method for a viscous wave equation. Zbl 1054.76062
Douglas, Jim jun.; Kim, Seongjai; Lim, Hyeona
2003
Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for transport-dominated diffusive systems. Zbl 1032.76031
Almeida, César; Douglas, Jim jun.; Pereira, Felipe; Roman, Luis Carlos; Yeh, Li-Ming
2002
Parameter estimates for high-level nuclear transport in fractured porous media. Zbl 1068.76079
Douglas, Jim jun.; Spagnuolo, Anna M.
2002
The approximation of nuclear contaminant transport in porous media. Zbl 1344.76082
Douglas, Jim jun.; Huang, Chieh-Sen; Spagnuolo, Anna M.
2002
Improved accuracy for locally one-dimensional methods for parabolic equations. Zbl 1012.65095
Douglas, Jim jun.; Kim, Seongjai
2001
A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation. Zbl 0992.65090
Douglas, Jim jun.; Huang, Chieh-Sen
2001
Nonconforming Galerkin methods for the Helmholtz equation. Zbl 1018.65125
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo
2001
The transport of nuclear contamination in fractured porous media. Zbl 0989.76062
Douglas, Jim jun.; Spagnuolo, Anna M.
2001
Nonconforming quadrilateral finite elements: a correction. Zbl 1012.65124
Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X.
2000
A locally conservative Eulerian–Lagrangian numerical method and its application to nonlinear transport in porous media. Zbl 0969.76069
Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming
2000
A nonconforming mixed finite element method for Maxwell’s equations. Zbl 1010.78013
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo
2000
A nonconforming mixed method for the time-harmonic Maxwell equations. Zbl 1006.78016
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo
2000
A locally conservative Eulerian-Lagrangian method for flow in a porous medium of a mixture of two components having different densities. Zbl 1014.76044
Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming
2000
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. Zbl 0941.65115
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu
1999
A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Zbl 0947.76047
Cai, Zhiqiang; Douglas, Jim jun.; Ye, Xiu
1999
Douglas, Jim jun.; Huang, Chieh-Sen; Pereira, Felipe
1999
A multiple-porosity model for a single-phase flow through naturally-fractured porous media. Zbl 0920.76083
Douglas, J. jun.; Kischinhevsky, M.; Paes Leme, P. J.; Spagnuolo, A. M.
1998
Accelerated domain decomposition iterative procedures for mixed methods based on Robin transmission conditions. Zbl 0921.65078
Douglas, Jim jun.; Huang, Chieh-Sen
1998
Stabilized finite element methods with fast iterative solution algorithms for the Stokes problem. Zbl 0943.76048
Cai, Zhiqiang; Douglas, Jim jun.
1998
On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs. Zbl 0963.76549
Douglas, Jim jun.; Furtado, Frederico; Pereira, Felipe
1997
An accelerated domain decomposition procedure based on Robin transmission conditions. Zbl 0886.65114
Douglas, J. jun.; Huang, C.-S.
1997
A parallelizable method for two-phase flows in naturally-fractured reservoirs. Zbl 0941.76051
Douglas, Jim jun.; Pereira, Felipe; Yeh, Li-Ming
1997
An analytic basis for multigrid methods for stabilized finite element methods for the Stokes problem. Zbl 0911.65124
Cai, Z.; Douglas, J. jun.
1997
Numerical methods for forward-backward stochastic differential equations. Zbl 0861.65131
Douglas, Jim jun.; Ma, Jin; Protter, Philip
1996
Modelling of compositional flow in naturally fractured reservoirs. Zbl 0874.35052
Chen, Zhangxin; Douglas, Jim jun.
1996
Alternating-direction iteration for the $$p$$-version of the finite element method. Zbl 0843.65078
Douglas, Jim jun.
1996
Bounds on spectral condition numbers of matrices arising in the $$p$$- version of the finite element method. Zbl 0834.65034
Olsen, Elwood T.; Douglas, Jim jun.
1995
A parallelizable approach to the simulation of waves in dispersive media. Zbl 0879.73081
Douglas, Jim jun.; Pereira, Felipe; Santos, Juan E.
1995
A parallelizable characteristic scheme for two-phase flow. I: Single porosity models. Zbl 0833.76054
Douglas jun., Jim; Pereira, Felipe; Yeh, Li-Ming
1995
Approximation of scalar waves in the space-frequency domain. Zbl 0812.35173
Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E.
1994
A unified multigrid theory for non-nested grids and/or quadrature. Zbl 0852.65109
Douglas, C. C.; Douglas, J. jun.; Fyfe, D. E.
1994
Frequency domain treatment of one-dimensional scalar waves. Zbl 0783.65070
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Bennethum, Lynn Schreyer
1993
A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods. Zbl 0813.65122
Douglas, J. jun.; Leme, P. J. Paes; Roberts, J. E.; Wang, Junping
1993
Generalized Forchheimer flow in porous media. Zbl 0805.35060
Douglas, Jim jun.; Paes-Leme, Paulo Jorge; Giorgi, Tiziana
1993
A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel. Zbl 0772.65020
Douglas, Craig C.; Douglas, Jim jun.
1993
A new family of mixed finite element spaces over rectangles. Zbl 0806.65109
Douglas, Jim jun.; Wang, Junping
1993
An alternating-direction iteration method for Helmholtz problems. Zbl 0807.65106
Douglas, Jim jun.; Hensley, Jeffrey L.; Roberts, Jean E.
1993
A massively parallel iterative numerical algorithm for immiscible flow in naturally fractured reservoirs. Zbl 0805.76046
Douglas, Jim jun.; Paes Leme, P. J.; Pereira, Felipe; Yeh, Li-Ming
1993
Finite difference methods for a model for immiscible displacement in naturally fractured petroleum reservoirs. Zbl 0760.76058
Douglas, J. jun.; Paes-Leme, P. J.
1992
Modeling of naturally fractured reservoirs by formal homogenization techniques. Zbl 0727.76110
Arbogast, T.; Douglas, J. jun.; Hornung, U.
1991
Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems. Zbl 0760.65093
Chen, Zhangxin; Douglas, Jim jun.
1991
A dual-porosity model for waterflooding in naturally fractured reservoirs. Zbl 0825.76516
Douglas, Jim; Hensley, Jeffrey L. jun.; Arbogast, Todd
1991
Simulation of waves arising in acoustic well-logging. Zbl 0838.76080
Douglas, J.; Santos, J. E.; Hensley, J. L.; Morley, M. E.
1991
Derivation of the double porosity model of single phase flow via homogenization theory. Zbl 0698.76106
Arbogast, Todd; Douglas, Jim jun.; Hornung, Ulrich
1990
An absolutely stabilized finite element method for the Stokes problem. Zbl 0669.76051
Douglas, Jim jun.; Wang, Junping
1989
Prismatic mixed finite elements for second order elliptic problems. Zbl 0711.65089
Chen, Z.; Douglas, J. jun.
1989
Superconvergence of mixed finite element methods on rectangular domains. Zbl 0714.65084
Douglas, Jim jun.; Wang, Junping
1989
Stabilized mixed methods for the Stokes problem. Zbl 0669.76052
Brezzi, Franco; Douglas, Jim jun.
1988
Finite element methods for a model of full waveform acoustic logging. Zbl 0664.76109
Santos, Juan Enrique; Douglas, Jim jun.; Morley, Mary E.; Lovera, Oscar M.
1988
Finite element methods for a composite model in elastodynamics. Zbl 0684.73034
Santos, Juan Enrique; Douglas, Jim jun.; Calderon, Alberto Pedro
1988
Numerical simulation of immiscible flow in porous media based on combining the method of characteristics with mixed finite element procedures. Zbl 0699.76105
Douglas, Jim jun.; Yuan, Yirang
1988
Two-phase immiscible flow in naturally fractured reservoirs. Zbl 0699.76103
Arbogast, Todd; Douglas, Jim jun.; Santos, Juan E.
1988
Superconvergence and interior estimates for a mixed finite element method for elastic waves in a planar domain. Zbl 0672.73033
Douglas, Jim jun.; Gupta, Chaitan P.
1988
Approximation of waves in composite media. Zbl 0682.73028
Douglas, Jim jun.; Santos, Juan E.
1988
Mixed finite elements for second order elliptic problems in three variables. Zbl 0631.65107
Brezzi, Franco; Douglas, Jim jun.; Durán, Ricardo; Fortin, Michel
1987
Efficient rectangular mixed finite elements in two and three space variables. Zbl 0689.65065
Brezzi, Franco; Douglas, Jim jun.; Fortin, Michel; Marini, L. Donatella
1987
Numerical methods for a model of population dynamics. Zbl 0658.65145
Douglas, J. jun.; Milner, F. A.
1987
Finite difference methods for the transient behavior of a semiconductor device. Zbl 0625.65124
Douglas, Jim jun.; Yuan, Yirang
1987
Formulation of alternating-direction iterative methods for mixed methods in three space. Zbl 0609.65071
Douglas, Jim jun.; Durán, Ricardo; Pietra, Paola
1987
Recent results on mixed finite element methods for second order elliptic problems. Zbl 0611.65071
Brezzi, F.; Douglas, J. jun.; Marini, L. D.
1986
Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123
Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J.
1986
Alternating-direction iteration for mixed finite element methods. Zbl 0677.65105
Douglas, Jim jun.; Durán, Ricardo; Pietra, Paola
1986
Superconvergence for a mixed finite element method for elastic wave propagation in a plane domain. Zbl 0607.73027
Douglas, Jim jun.; Gupta, Chaitan P.
1986
Two families of mixed finite elements for second order elliptic problems. Zbl 0599.65072
Brezzi, Franco; Douglas, Jim jun.; Marini, L. D.
1985
Global estimates for mixed methods for second order elliptic equations. Zbl 0624.65109
Douglas, Jim jun.; Roberts, Jean E.
1985
Superconvergence in the pressure in the simulation of miscible displacement. Zbl 0624.65124
Douglas, Jim jun.
1985
Interior and superconvergence estimates for mixed methods for second order elliptic problems. Zbl 0613.65110
Douglas, Jim jun.; Milner, F. A.
1985
Variable degree mixed methods for second order elliptic problems. Zbl 0592.65073
Brezzi, F.; Douglas, Jim jun.; Marini, L. D.
1985
Interior and superconvergence estimates for a primal hybrid finite element method for second order elliptic problems. Zbl 0613.65111
Douglas, Jim jun.; Gupta, Chaitan P.; Li, Guang-Yu
1985
PEERS: A new mixed finite element for plane elasticity. Zbl 0633.73074
Arnold, Douglas N.; Brezzi, Franco; Douglas, Jim jun.
1984
A family of higher order mixed finite element methods for plane elasticity. Zbl 0558.73066
Arnold, Douglas N.; Douglas, Jim jun.; Gupta, Chaitan P.
1984
Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0545.76128
Douglas, Jim jun.; Wheeler, Mary Fanett; Darlow, Bruce L.; Kendall, Richard P.
1984
Self-adaptive finite element and finite difference methods for one-dimensional two-phase immiscible flow. Zbl 0535.76121
Douglas, Jim jun.; Darlow, Bruce L.; Wheeler, Mary Fanett; Kendall, Richard P.
1984
Numerical methods for the flow of miscible fluids in porous media. Zbl 0585.76138
Douglas, Jim jun.
1984
Self-adaptive finite element simulation of miscible displacement in porous media. Zbl 0535.76115
Douglas, Jim jun.; Wheeler, Mary Fanett; Darlow, Bruce L.; Kendall, Richard P.
1984
The approximation of the pressure by a mixed method in the simulation of miscible displacement. Zbl 0516.76094
Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett
1983
A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. Zbl 0526.76094
Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett
1983
Numerical methods for a model for compressible miscible displacement in porous media. Zbl 0537.76062
Douglas, Jim jun.; Roberts, Jean E.
1983
Finite difference methods for two-phase incompressible flow in porous media. Zbl 0519.76107
Douglas, Jim jun.
1983
Numerical methods for a model of cardiac muscle contraction. Zbl 0552.65093
Douglas, Jim jun.; Milner, F. A.
1983
Global estimates for a primal hybrid finite element method for second order elliptic problems in the plane. Zbl 0542.65062
Douglas, Jim jun.; Gupta, Chaitan P.; Li, Guang-yu
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
Mixed finite element methods for second order elliptic problems. Zbl 0482.65057
Douglas, Jim jun.; Roberts, J. E.
1982
Simulation of miscible displacement in porous media by a modified method of characteristic procedure. Zbl 0476.76100
Douglas, Jim jun.
1982
Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Zbl 0466.65062
Arnold, Douglas N.; Douglas, Jim jun.; Thomee, Vidar
1981
The numerical simulation of miscible displacement in porous media. Zbl 0439.76087
Douglas, Jim jun.
1980
Simulation of a linear waterflood. Zbl 0454.76014
Douglas, Jim jun.
1980
A family of $$C^1$$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068
Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway
1979
Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064
Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E.
1979
Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable. Zbl 0435.65094
Arnold, D. N.; Douglas, Jim jun.
1979
Long wave regularization of one-dimensional, two-phase immiscible flow in porous media. Zbl 0423.76079
Douglas, Jim jun.; Kendall, R. P.; Wheeler, M. F.
1979
Effective time-stepping methods for the numerical solution of nonlinear parabolic problems. Zbl 0435.65095
Douglas, Jim jun.
1979
A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1978
A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058
Douglas, Jim jun.; Dupont, Todd; Percell, Peter
1978
...and 57 more Documents
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#### Cited by 3,751 Authors

 51 Douglas, Jim jun. 44 Yuan, Yirang 39 Gatica, Gabriel N. 38 Rui, Hongxing 37 Chen, Yanping 36 Cockburn, Bernardo 36 Shi, Dongyang 34 Wheeler, Mary Fanett 29 Ewing, Richard Edward 28 Chen, Zhangxin 28 He, Yinnian 26 Sheen, Dongwoo 25 Zhang, Zhimin 23 Wang, Hong 22 Huang, Yunqing 21 Cannon, John Rozier 20 Liang, Dong 20 Meddahi, Salim 20 Yotov, Ivan 19 Arnold, Douglas Norman 19 Li, Changfeng 19 Li, Jian 19 Park, Eun-Jae 19 Zhang, Jiansong 18 Codina, Ramon 18 Guo, Hui 18 Wang, Junping 17 Santos, Juan Enrique 16 Arbogast, Todd 16 Brezzi, Franco 16 Hughes, Thomas J. R. 16 Loula, Abimael Fernando Dourado 16 Sun, Tongjun 15 Chen, Huanzhen 15 Chen, Shaochun 15 Feng, Xinlong 15 Marquez-Duran, Antonio M. 15 Yang, Danping 15 Yuan, Xiaoming 14 Dupont, Todd F. 14 Fairweather, Graeme 14 Suárez-Grau, Francisco Javier 14 Winther, Ragnar 14 Zhang, Shangyou 14 Zou, Qingsong 13 Lin, Yanping 13 Pani, Amiya Kumar 13 Ruiz-Baier, Ricardo 13 Seaïd, Mohammed 13 Stenberg, Rolf 13 Xu, Jinchao 12 Carstensen, Carsten 12 Han, Deren 12 Hu, Jun 12 Kim, Seongjai 12 Zhu, Jiang 11 Bauschke, Heinz H. 11 Bi, Chunjia 11 Feng, Xiaobing 11 Franca, Leopoldo Luis Cabo Penna 11 Fu, Hongfei 11 Knabner, Peter 11 Sayas, Francisco-Javier 11 Vohralík, Martin 11 Xie, Xiaoping 11 Zhao, Weidong 10 Duan, Huoyuan 10 El-Amrani, Mofdi 10 Feng, Minfu 10 Ginting, Victor 10 Hadjidimos, Apostolos 10 Hou, Tianliang 10 Kwak, Do Young 10 Lee, Jeonghun J. 10 Ma, Shiqian 10 Pankratov, Leonid S. 10 Qiu, Weifeng 10 Rivière, Beatrice M. 10 Si, Zhiyong 10 Ye, Xiu 9 Abreu, Eduardo 9 Bermejo, Rodolfo 9 Bialecki, Bernard 9 Buscaglia, Gustavo Carlos 9 Cai, Zhiqiang 9 Chen, Chuanjun 9 Cheng, Aijie 9 Chung, Tsz Shun Eric 9 Evans, David John 9 Guan, Hongbo 9 Guzmán, Johnny 9 Huang, Chieh-Sen 9 Li, Hong 9 Li, Xiaoli 9 Luo, Zhendong 9 Marini, Luisa Donatella 9 Milner, Fabio Augusto 9 Neilan, Michael 9 Ohm, Mi-Ray 9 Sun, Weiwei ...and 3,651 more Authors
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#### Cited in 336 Serials

 305 Computer Methods in Applied Mechanics and Engineering 233 Journal of Computational and Applied Mathematics 174 Numerische Mathematik 167 Mathematics of Computation 139 Applied Mathematics and Computation 136 Journal of Scientific Computing 135 Computers & Mathematics with Applications 121 Journal of Computational Physics 105 Applied Numerical Mathematics 94 Numerical Methods for Partial Differential Equations 63 SIAM Journal on Numerical Analysis 59 Journal of Mathematical Analysis and Applications 52 Computational Geosciences 41 SIAM Journal on Scientific Computing 40 Calcolo 38 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 32 RAIRO. Modélisation Mathématique et Analyse Numérique 32 Numerical Algorithms 30 Advances in Computational Mathematics 29 Mathematics and Computers in Simulation 29 International Journal of Computer Mathematics 27 International Journal for Numerical Methods in Fluids 26 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 25 Applicable Analysis 25 Computers and Fluids 25 Applied Mathematics and Mechanics. (English Edition) 24 Science China. Mathematics 23 Applied Mathematical Modelling 22 International Journal for Numerical Methods in Engineering 22 Applications of Mathematics 21 Journal of Optimization Theory and Applications 20 Mathematical Methods in the Applied Sciences 20 Computing 18 Numerical Functional Analysis and Optimization 16 Mathematical Problems in Engineering 15 Archive for Rational Mechanics and Analysis 14 BIT 14 Journal of Differential Equations 14 Mathematical Programming. Series A. Series B 14 Computational Optimization and Applications 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Acta Mathematicae Applicatae Sinica. English Series 13 Applied Mathematics. Series B (English Edition) 13 Communications in Numerical Methods in Engineering 13 Abstract and Applied Analysis 13 Computational Methods in Applied Mathematics 13 Journal of Applied Mathematics 12 Journal of Fluid Mechanics 12 RAIRO. Analyse Numérique 12 Applied Mathematics Letters 12 Journal of Global Optimization 12 Engineering Analysis with Boundary Elements 12 Journal of Applied Mathematics and Computing 12 SIAM Journal on Imaging Sciences 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 SIAM Journal on Optimization 11 Numerical Linear Algebra with Applications 11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 10 Computational Mechanics 10 Japan Journal of Industrial and Applied Mathematics 10 Computational and Applied Mathematics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Applied Mathematics and Optimization 9 Mathematical and Computer Modelling 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 East Asian Journal on Applied Mathematics 8 Aplikace Matematiky 8 Nonlinear Analysis. Real World Applications 8 Journal of Systems Science and Complexity 8 Journal of Numerical Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Mathematical Physics 7 Science in China. Series A 7 The Annals of Applied Probability 7 SIAM Journal on Mathematical Analysis 7 Discrete and Continuous Dynamical Systems. Series S 6 International Journal of Engineering Science 6 Journal of Engineering Mathematics 6 Transactions of the American Mathematical Society 6 Linear Algebra and its Applications 6 Stochastic Processes and their Applications 6 Journal of Mathematical Imaging and Vision 6 International Journal of Computational Fluid Dynamics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Discrete and Continuous Dynamical Systems. Series B 6 Advances in Difference Equations 6 Journal of the Operations Research Society of China 5 Bulletin of the Australian Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Journal of Integral Equations and Applications 5 Journal of Mathematical Sciences (New York) 5 Differential Equations 5 Archives of Computational Methods in Engineering 5 BIT. Nordisk Tidskrift for Informationsbehandling 5 Frontiers of Mathematics in China 5 Optimization Letters 5 Advances in Mathematical Physics 5 Journal of Theoretical Biology 5 AICA. Annales de l’Association Internationale pour le Calcul Analogique et de Simulation Hybrides 4 Computer Physics Communications ...and 236 more Serials
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#### Cited in 46 Fields

 2,396 Numerical analysis (65-XX) 1,413 Partial differential equations (35-XX) 1,087 Fluid mechanics (76-XX) 411 Mechanics of deformable solids (74-XX) 170 Calculus of variations and optimal control; optimization (49-XX) 168 Operations research, mathematical programming (90-XX) 110 Classical thermodynamics, heat transfer (80-XX) 102 Operator theory (47-XX) 84 Optics, electromagnetic theory (78-XX) 79 Geophysics (86-XX) 76 Probability theory and stochastic processes (60-XX) 76 Biology and other natural sciences (92-XX) 68 Integral equations (45-XX) 58 Ordinary differential equations (34-XX) 48 Statistical mechanics, structure of matter (82-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Computer science (68-XX) 35 Approximations and expansions (41-XX) 31 Information and communication theory, circuits (94-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 22 Systems theory; control (93-XX) 19 Functional analysis (46-XX) 15 Statistics (62-XX) 14 Global analysis, analysis on manifolds (58-XX) 11 Real functions (26-XX) 10 Potential theory (31-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 4 Combinatorics (05-XX) 3 History and biography (01-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX)