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## Dupont, Todd F.

Compute Distance To:
 Author ID: dupont.todd-f Published as: Dupont, T.; Dupont, Todd; Dupont, Todd F. External Links: MGP
 Documents Indexed: 74 Publications since 1968, including 1 Book
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#### Co-Authors

 9 single-authored 26 Douglas, Jim jun. 9 Wheeler, Mary Fanett 5 Dawson, Clint N. 5 Scott, Larkin Ridgway 4 Ayati, Bruce P. 4 Liu, Yingjie 4 Nagylaki, Thomas 4 Rachford, Henry H. jun. 3 Bank, Randolph E. 3 Wahlbin, Lars B. 2 Cowsar, Lawrence C. 2 Draganescu, Andrei 2 Hosoi, A. E. 2 Keenan, Philip T. 2 Percell, Peter B. 2 Su, Linlin 1 Alevy, Ian 1 Bertozzi, Andrea Louise 1 Bramble, James H. 1 Brenner, Michael P. 1 Du, Qiang 1 Eggers, Jens G. 1 Ewing, Richard Edward 1 Fairweather, Graeme 1 Garcia, Sonia M. F. 1 Johnson, J. Peter 1 Kadanoff, Leo Philip 1 Kendall, Richard P. 1 Li, Xiaofan 1 Mogultay, Itir 1 Nie, Qing 1 Plewa, Tomasz 1 Santos, Rafael F. 1 Serrin, James 1 Stone, H. L. 1 Tanveer, Saleh 1 Thomée, Vidar 1 Weirs, V. Gregory 1 Yserentant, Harry
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#### Serials

 16 Mathematics of Computation 13 SIAM Journal on Numerical Analysis 5 Numerische Mathematik 4 Theoretical Population Biology 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Fluid Mechanics 2 RAIRO. Analyse Numérique 2 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational Physics 1 Nonlinearity 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Numerical Linear Algebra with Applications 1 Lecture Notes in Mathematics
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#### Fields

 60 Numerical analysis (65-XX) 39 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 6 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 1,862 times in 1,510 Documents Cited by Year
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
1980
An optimal order process for solving finite element equations. Zbl 0466.65059
Bank, Randolph E.; Dupont, Todd
1981
Galerkin methods for parabolic equations. Zbl 0224.35048
Douglas, Jim jun.; Dupont, Todd
1970
L$$^2$$ estimates for Galerkin methods for second order hyperbolic equations. Zbl 0239.65087
Dupont, Todd
1973
Drop formation in a one-dimensional approximation of the Navier- Stokes equation. Zbl 0804.76027
Eggers, Jens; Dupont, Todd F.
1994
The hierarchical basis multigrid method. Zbl 0645.65074
Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry
1988
A finite difference domain decomposition algorithm for numerical solution of the heat equation. Zbl 0732.65091
Dawson, Clint N.; Du, Qiang; Dupont, Todd F.
1991
An approximate factorization procedure for solving self-adjoint elliptic difference equations. Zbl 0174.47603
Dupont, T.; Kendall, R. P.; Rachford, H. H. jun.
1968
Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051
Douglas, Jim jun.; Dupont, Todd
1974
A priori estimates for mixed finite element methods for the wave equation. Zbl 0724.65087
Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F.
1990
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
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
Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129
Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway
2005
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
Singularities and similarities in interface flows. Zbl 0808.76022
Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P.
1994
Explicit/implicit, conservative domain decomposition procedures for parabolic problems based on block-centered finite differences. Zbl 0806.65093
Dawson, Clint N.; Dupont, Todd F.
1994
Galerkin methods for first order hyperbolics: An example. Zbl 0237.65070
Dupont, Todd
1973
Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Zbl 0746.65072
Dawson, Clint N.; Dupont, Todd F.
1992
Three-level Galerkin methods for parabolic equations. Zbl 0313.65107
Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter
1974
Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096
Douglas, Jim jun.; Dupont, Todd
1973
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
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
Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088
Douglas, Jim jun.; Dupont, Todd
1971
Mesh modification for evolution equations. Zbl 0493.65044
Dupont, Todd
1982
A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050
Douglas, Jim jun.; Dupont, Todd
1973
Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017
Douglas, Jim jun.; Dupont, Todd; Serrin, James
1971
A priori estimates for mixed finite element approximations of second-order hyperbolic equations with absorbing boundary conditions. Zbl 0859.65097
Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F.
1996
Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094
Bramble, James H.; Dupont, Todd; Thomee, Vidar
1972
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 quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1978
Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046
Douglas, Jim jun.; Dupont, Todd
1973
A unified theory of superconvergence for Galerkin methods for two-point boundary problems. Zbl 0332.65050
Dupont, Todd
1976
Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function. Zbl 1031.65110
Dupont, Todd F.; Liu, Yingjie
2003
Galerkin methods in age and space for a population model with nonlinear diffusion. Zbl 1015.92031
Ayati, Bruce P.; Dupont, Todd F.
2002
Back and forth error compensation and correction methods for semi-Lagrangian schemes with application to level set interface computations. Zbl 1116.65100
Dupont, Todd F.; Liu, Yingjie
2007
Symmetric error estimates for moving mesh Galerkin methods for advection-diffusion equations. Zbl 1025.65051
Dupont, Todd F.; Liu, Yingjie
2002
Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085
Liu, Yingjie; Bank, Randolph E.; Dupont, Todd F.; Garcia, Sonia; Santos, Rafael F.
2003
The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060
Douglas, Jim jun.; Dupont, Todd
1975
Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003
Dupont, Todd; Scott, Ridgway
1978
A factorization procedure for the solution of elliptic difference equations. Zbl 0176.15801
Dupont, T.
1969
Galerkin methods for modeling gas pipelines. Zbl 0302.76035
Dupont, Todd
1974
Clines with partial panmixia in an environmental pocket. Zbl 1296.92213
Nagylaki, Thomas; Su, Linlin; Alevy, Ian; Dupont, Todd F.
2014
Convergence of a step-doubling Galerkin method for parabolic problems. Zbl 1072.65120
Ayati, Bruce P.; Dupont, Todd F.
2005
Superconvergence and postprocessing of fluxes from lowest-order mixed methods on triangles and tetrahedra. Zbl 0912.65085
Dupont, Todd F.; Keenan, Philip T.
1998
Preconditioned conjugate gradient iteration applied to Galerkin methods for a mildly nonlinear Dirichlet problem. Zbl 0346.65020
Douglas, Jim jun.; Dupont, Todd
1976
Optimal order multilevel preconditioners for regularized ill-posed problems. Zbl 1198.65188
Draganescu, Andrei; Dupont, Todd F.
2008
Noniterative domain decomposition for second order hyperbolic problems. Zbl 0804.65097
Dawson, Clint N.; Dupont, Todd F.
1994
A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058
Douglas, Jim jun.; Dupont, Todd; Percell, Peter
1978
Uniqueness and multiplicity of clines in an environmental pocket. Zbl 1425.92217
Nagylaki, Thomas; Su, Linlin; Dupont, Todd F.
2019
Three-dimensional effects in shock-cylinder interactions. Zbl 1182.76823
Weirs, V. Gregory; Dupont, Todd; Plewa, Tomasz
2008
Some L$$^2$$ error estimates for parabolic Galerkin methods. Zbl 0279.65086
Dupont, Todd
1972
A finite element collocation method for the heat equation. Zbl 0274.65034
Douglas, Jim jun.; Dupont, Todd
1972
The numerical solution of waterflooding problems in petroleum engineering by variational methods. Zbl 0245.65048
Douglas, Jim jun.; Dupont, Todd
1970
The influence of spatial inhomogeneities on neutral models of geographical variation. III: Migration across a geographical barrier. Zbl 0783.92029
Nagylaki, Thomas; Keenan, Philip T.; Dupont, Todd F.
1993
Local $$H^{-1}$$ Galerkin and adjoint local $$H^{-1}$$ Galerkin procedures for elliptic equations. Zbl 0362.65092
Douglas, Jim jun.; Dupont, Todd; Rachford, Henry H. jun.; Wheeler, Mary F.
1977
$$L_2$$ error estimates for projection methods for parabolic equations in approximating domains. Zbl 0382.65050
Dupont, Todd
1974
$$H^1$$-Galerkin methods for the Laplace and heat equations. Zbl 0347.65047
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1974
Some superconvergence results for Galerkin methods for the approximate solution of two-point boundary problems. Zbl 0277.65052
Douglas, Jim jun.; Dupont, Todd
1973
The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078
Dupont, Todd F.; Scott, L. Ridgway
2013
A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions. Zbl 1215.76060
Dupont, Todd F.; Mogultay, Itir
2009
Singularity formation in free-surface Stokes flows. Zbl 1067.76027
Nie, Qing; Tanveer, Saleh; Dupont, Todd F.; Li, Xiaofan
2002
The influence of spatial inhomogeneities on neutral models of geographical variation. IV: Discontinuities in the population density and migration rate. Zbl 0960.92024
Ayati, Bruce P.; Dupont, Todd F.; Nagylaki, Thomas
1999
Some reduced-dimension models based on numerical methods. Zbl 0938.76081
Dupont, Todd F.; Hosoi, A. E.
1998
$$H^{-1}$$ Galerkin methods for problems involving several space variables. Zbl 0436.65084
Douglas, Jim jun.; Dupont, Todd
1977
A Galerkin method for liquid pipelines. Zbl 0364.65095
Dupont, Todd; Rachford, H. H. jun.
1976
Some superconvergence results for an H$$^1$$-Galerkin procedure for the heat equation. Zbl 0285.65068
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett
1974
Factorization techniques for elliptic difference equations. Zbl 0221.65058
Dupont, Todd; Stone, H. L.; Rachford, H. H. jun.
1970
Uniqueness and multiplicity of clines in an environmental pocket. Zbl 1425.92217
Nagylaki, Thomas; Su, Linlin; Dupont, Todd F.
2019
Clines with partial panmixia in an environmental pocket. Zbl 1296.92213
Nagylaki, Thomas; Su, Linlin; Alevy, Ian; Dupont, Todd F.
2014
The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078
Dupont, Todd F.; Scott, L. Ridgway
2013
A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions. Zbl 1215.76060
Dupont, Todd F.; Mogultay, Itir
2009
Optimal order multilevel preconditioners for regularized ill-posed problems. Zbl 1198.65188
Draganescu, Andrei; Dupont, Todd F.
2008
Three-dimensional effects in shock-cylinder interactions. Zbl 1182.76823
Weirs, V. Gregory; Dupont, Todd; Plewa, Tomasz
2008
Back and forth error compensation and correction methods for semi-Lagrangian schemes with application to level set interface computations. Zbl 1116.65100
Dupont, Todd F.; Liu, Yingjie
2007
Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129
Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway
2005
Convergence of a step-doubling Galerkin method for parabolic problems. Zbl 1072.65120
Ayati, Bruce P.; Dupont, Todd F.
2005
Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function. Zbl 1031.65110
Dupont, Todd F.; Liu, Yingjie
2003
Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085
Liu, Yingjie; Bank, Randolph E.; Dupont, Todd F.; Garcia, Sonia; Santos, Rafael F.
2003
Galerkin methods in age and space for a population model with nonlinear diffusion. Zbl 1015.92031
Ayati, Bruce P.; Dupont, Todd F.
2002
Symmetric error estimates for moving mesh Galerkin methods for advection-diffusion equations. Zbl 1025.65051
Dupont, Todd F.; Liu, Yingjie
2002
Singularity formation in free-surface Stokes flows. Zbl 1067.76027
Nie, Qing; Tanveer, Saleh; Dupont, Todd F.; Li, Xiaofan
2002
The influence of spatial inhomogeneities on neutral models of geographical variation. IV: Discontinuities in the population density and migration rate. Zbl 0960.92024
Ayati, Bruce P.; Dupont, Todd F.; Nagylaki, Thomas
1999
Superconvergence and postprocessing of fluxes from lowest-order mixed methods on triangles and tetrahedra. Zbl 0912.65085
Dupont, Todd F.; Keenan, Philip T.
1998
Some reduced-dimension models based on numerical methods. Zbl 0938.76081
Dupont, Todd F.; Hosoi, A. E.
1998
A priori estimates for mixed finite element approximations of second-order hyperbolic equations with absorbing boundary conditions. Zbl 0859.65097
Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F.
1996
Drop formation in a one-dimensional approximation of the Navier- Stokes equation. Zbl 0804.76027
Eggers, Jens; Dupont, Todd F.
1994
Singularities and similarities in interface flows. Zbl 0808.76022
Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P.
1994
Explicit/implicit, conservative domain decomposition procedures for parabolic problems based on block-centered finite differences. Zbl 0806.65093
Dawson, Clint N.; Dupont, Todd F.
1994
Noniterative domain decomposition for second order hyperbolic problems. Zbl 0804.65097
Dawson, Clint N.; Dupont, Todd F.
1994
The influence of spatial inhomogeneities on neutral models of geographical variation. III: Migration across a geographical barrier. Zbl 0783.92029
Nagylaki, Thomas; Keenan, Philip T.; Dupont, Todd F.
1993
Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Zbl 0746.65072
Dawson, Clint N.; Dupont, Todd F.
1992
A finite difference domain decomposition algorithm for numerical solution of the heat equation. Zbl 0732.65091
Dawson, Clint N.; Du, Qiang; Dupont, Todd F.
1991
A priori estimates for mixed finite element methods for the wave equation. Zbl 0724.65087
Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F.
1990
The hierarchical basis multigrid method. Zbl 0645.65074
Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry
1988
Mesh modification for evolution equations. Zbl 0493.65044
Dupont, Todd
1982
An optimal order process for solving finite element equations. Zbl 0466.65059
Bank, Randolph E.; Dupont, Todd
1981
Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009
Dupont, Todd; Scott, Ridgway
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
A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1978
Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003
Dupont, Todd; Scott, Ridgway
1978
A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058
Douglas, Jim jun.; Dupont, Todd; Percell, Peter
1978
Local $$H^{-1}$$ Galerkin and adjoint local $$H^{-1}$$ Galerkin procedures for elliptic equations. Zbl 0362.65092
Douglas, Jim jun.; Dupont, Todd; Rachford, Henry H. jun.; Wheeler, Mary F.
1977
$$H^{-1}$$ Galerkin methods for problems involving several space variables. Zbl 0436.65084
Douglas, Jim jun.; Dupont, Todd
1977
A unified theory of superconvergence for Galerkin methods for two-point boundary problems. Zbl 0332.65050
Dupont, Todd
1976
Preconditioned conjugate gradient iteration applied to Galerkin methods for a mildly nonlinear Dirichlet problem. Zbl 0346.65020
Douglas, Jim jun.; Dupont, Todd
1976
A Galerkin method for liquid pipelines. Zbl 0364.65095
Dupont, Todd; Rachford, H. H. jun.
1976
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
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
The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060
Douglas, Jim jun.; Dupont, Todd
1975
Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051
Douglas, Jim jun.; Dupont, Todd
1974
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
Three-level Galerkin methods for parabolic equations. Zbl 0313.65107
Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter
1974
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 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
Galerkin methods for modeling gas pipelines. Zbl 0302.76035
Dupont, Todd
1974
$$L_2$$ error estimates for projection methods for parabolic equations in approximating domains. Zbl 0382.65050
Dupont, Todd
1974
$$H^1$$-Galerkin methods for the Laplace and heat equations. Zbl 0347.65047
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F.
1974
Some superconvergence results for an H$$^1$$-Galerkin procedure for the heat equation. Zbl 0285.65068
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett
1974
L$$^2$$ estimates for Galerkin methods for second order hyperbolic equations. Zbl 0239.65087
Dupont, Todd
1973
Galerkin methods for first order hyperbolics: An example. Zbl 0237.65070
Dupont, Todd
1973
Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096
Douglas, Jim jun.; Dupont, Todd
1973
A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050
Douglas, Jim jun.; Dupont, Todd
1973
Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046
Douglas, Jim jun.; Dupont, Todd
1973
Some superconvergence results for Galerkin methods for the approximate solution of two-point boundary problems. Zbl 0277.65052
Douglas, Jim jun.; Dupont, Todd
1973
Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094
Bramble, James H.; Dupont, Todd; Thomee, Vidar
1972
Some L$$^2$$ error estimates for parabolic Galerkin methods. Zbl 0279.65086
Dupont, Todd
1972
A finite element collocation method for the heat equation. Zbl 0274.65034
Douglas, Jim jun.; Dupont, Todd
1972
Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088
Douglas, Jim jun.; Dupont, Todd
1971
Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017
Douglas, Jim jun.; Dupont, Todd; Serrin, James
1971
Galerkin methods for parabolic equations. Zbl 0224.35048
Douglas, Jim jun.; Dupont, Todd
1970
The numerical solution of waterflooding problems in petroleum engineering by variational methods. Zbl 0245.65048
Douglas, Jim jun.; Dupont, Todd
1970
Factorization techniques for elliptic difference equations. Zbl 0221.65058
Dupont, Todd; Stone, H. L.; Rachford, H. H. jun.
1970
A factorization procedure for the solution of elliptic difference equations. Zbl 0176.15801
Dupont, T.
1969
An approximate factorization procedure for solving self-adjoint elliptic difference equations. Zbl 0174.47603
Dupont, T.; Kendall, R. P.; Rachford, H. H. jun.
1968
all top 5

#### Cited by 1,967 Authors

 28 Brenner, Susanne Cecelia 21 Dupont, Todd F. 20 Zhang, Zhimin 19 Douglas, Jim jun. 16 Bank, Randolph E. 16 Bramble, James H. 15 Di Pietro, Daniele Antonio 14 Yuan, Guangwei 14 Zhang, Shangyou 13 Pani, Amiya Kumar 12 Axelsson, Axel Owe Holger 11 Ewing, Richard Edward 11 Wahlbin, Lars B. 10 Basaran, Osman A. 10 Bialecki, Bernard 10 Dougalis, Vassilios A. 10 Sung, Liyeng 10 Thomée, Vidar 10 Yang, Danping 10 Yserentant, Harry 9 Cockburn, Bernardo 9 Fairweather, Graeme 9 Huang, Weizhang 9 Liang, Dong 9 Ma, Keying 9 Pasciak, Joseph E. 9 Sheng, Zhiqiang 9 Sun, Tongjun 9 Sung, Li-Yeng 8 Abdulle, Assyr 8 Bi, Chunjia 8 Boglaev, Igor P. 8 Carey, Graham Francis 8 Eggers, Jens G. 8 Huang, Yunqing 8 Křížek, Michal 8 Layton, William J. 8 Lazarov, Raytcho D. 8 Leykekhman, Dmitriy 8 Lin, Yanping 8 Scott, Larkin Ridgway 8 Wheeler, Mary Fanett 8 Xu, Jinchao 7 Babuška, Ivo 7 Burman, Erik 7 Chen, Zhangxin 7 Jun, Younbae 7 Karakashian, Ohannes A. 7 Korotov, Sergey 7 Makridakis, Charalambos G. 7 Nochetto, Ricardo Horacio 7 Papageorgiou, Demetrios T. 7 Wang, Junping 7 Yuan, Yirang 7 Zhou, Zhi 7 Zhou, Zhongguo 6 Ayati, Bruce P. 6 Baker, Garth A. 6 Beirão da Veiga, Lourenço 6 Casas, Eduardo 6 Cui, Jintao 6 Droniou, Jérôme 6 Ern, Alexandre 6 Ginting, Victor 6 Jin, Bangti 6 Jovanović, Boško S. 6 Lipitakis, Elias A. 6 Nagylaki, Thomas 6 Neittaanmäki, Pekka J. 6 Rannacher, Rolf 6 Rui, Hongxing 6 Taranets, Roman M. 6 Xu, Xuejun 6 Zhang, Jiansong 6 Zou, Qingsong 5 Apel, Thomas 5 Arbogast, Todd 5 Bai, Zhongzhi 5 Berikelashvili, Givi 5 Bernardi, Christine 5 Bertozzi, Andrea Louise 5 Chen, Huanzhen 5 Chen, Long 5 Chrysafinos, Konstantinos 5 Deineka, V. S. 5 Du, Qiang 5 Evans, David John 5 Guo, Hui 5 Hansbo, Peter 5 He, Xiaoming 5 Hoang, Viet Ha 5 King, John-Thomas 5 Larson, Mats G. 5 Li, Hengguang 5 Li, Qian 5 Mai, Tsun-Zee 5 Makarov, Volodymyr Leonidovych 5 Nakao, Mitsuhiro T. 5 Rincon, Mauro Antonio 5 Sinha, Rajen Kumar ...and 1,867 more Authors
all top 5

#### Cited in 191 Serials

 136 Numerische Mathematik 125 Mathematics of Computation 101 Journal of Computational and Applied Mathematics 88 Computer Methods in Applied Mechanics and Engineering 61 Computers & Mathematics with Applications 59 Applied Numerical Mathematics 58 Journal of Computational Physics 57 Applied Mathematics and Computation 52 Journal of Scientific Computing 42 SIAM Journal on Numerical Analysis 39 Physics of Fluids 34 Numerical Methods for Partial Differential Equations 31 Journal of Fluid Mechanics 25 Calcolo 21 Journal of Mathematical Analysis and Applications 21 Computing 19 Mathematics and Computers in Simulation 15 SIAM Journal on Scientific Computing 14 Numerical Functional Analysis and Optimization 14 RAIRO. Modélisation Mathématique et Analyse Numérique 13 RAIRO. Analyse Numérique 12 International Journal of Computer Mathematics 12 Linear Algebra and its Applications 12 Numerical Linear Algebra with Applications 11 BIT 11 Journal of Numerical Mathematics 10 Applied Mathematics Letters 10 Applied Mathematical Modelling 10 Advances in Computational Mathematics 9 Archive for Rational Mechanics and Analysis 9 Computers and Fluids 9 Aplikace Matematiky 9 Applications of Mathematics 9 Numerical Algorithms 8 Computational Methods in Applied Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 International Journal for Numerical Methods in Fluids 7 Theoretical Population Biology 7 Science in China. Series A 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Applied Mathematics. Series B (English Edition) 7 Journal of Applied Mathematics and Computing 6 International Journal for Numerical Methods in Engineering 6 Journal of Differential Equations 6 Computational Mechanics 6 Mathematical and Computer Modelling 6 Nonlinear Analysis. Theory, Methods & Applications 5 Physica D 5 Communications in Nonlinear Science and Numerical Simulation 5 Multiscale Modeling & Simulation 5 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 4 Journal of Mathematical Biology 4 Journal of Soviet Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Mathematicae Applicatae Sinica. English Series 4 Aequationes Mathematicae 4 Communications in Numerical Methods in Engineering 4 Computational and Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Archives of Computational Methods in Engineering 4 Science China. Mathematics 3 Bulletin of the Australian Mathematical Society 3 Journal of Engineering Mathematics 3 Mathematical Methods in the Applied Sciences 3 Ukrainian Mathematical Journal 3 Journal of Approximation Theory 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Cybernetics and Systems Analysis 3 Computational Optimization and Applications 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Mathematical Problems in Engineering 3 Computing and Visualization in Science 3 Differential Equations 3 Foundations of Computational Mathematics 3 Advances in Difference Equations 2 Modern Physics Letters B 2 Acta Mechanica 2 Applicable Analysis 2 International Journal of Heat and Mass Transfer 2 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Transport Theory and Statistical Physics 2 Applied Mathematics and Optimization 2 Manuscripta Mathematica 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Complexity 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Non-Newtonian Fluid Mechanics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Computers and Mathematics with Applications. Part A 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Engineering Analysis with Boundary Elements ...and 91 more Serials
all top 5

#### Cited in 41 Fields

 1,225 Numerical analysis (65-XX) 803 Partial differential equations (35-XX) 318 Fluid mechanics (76-XX) 136 Mechanics of deformable solids (74-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 43 Ordinary differential equations (34-XX) 36 Integral equations (45-XX) 35 Optics, electromagnetic theory (78-XX) 34 Biology and other natural sciences (92-XX) 31 Approximations and expansions (41-XX) 26 Classical thermodynamics, heat transfer (80-XX) 17 Statistical mechanics, structure of matter (82-XX) 12 Functional analysis (46-XX) 12 Operator theory (47-XX) 12 Computer science (68-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Probability theory and stochastic processes (60-XX) 7 Potential theory (31-XX) 7 Geophysics (86-XX) 7 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 6 Real functions (26-XX) 6 Statistics (62-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)