Edit Profile (opens in new tab) Dupont, Todd F. Co-Author Distance Author ID: dupont.todd-f Published as: Dupont, Todd; Dupont, Todd F.; Dupont, T. more...less External Links: MGP Documents Indexed: 75 Publications since 1968, including 1 Book and 1 Additional arXiv Preprint Co-Authors: 39 Co-Authors with 66 Joint Publications 1,622 Co-Co-Authors all top 5 Co-Authors 9 single-authored 26 Douglas, Jim jun. 9 Wheeler, Mary Fanett 6 Scott, Larkin Ridgway 5 Dawson, Clint N. 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 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 Guzmán, Johnny 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 all top 5 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 all top 5 Fields 61 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 2,145 times in 1,765 Documents Cited by ▼ Year ▼ Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009 Dupont, Todd; Scott, Ridgway 180 1980 Galerkin methods for parabolic equations. Zbl 0224.35048 Douglas, Jim jun.; Dupont, Todd 135 1970 An optimal order process for solving finite element equations. Zbl 0466.65059 Bank, Randolph E.; Dupont, Todd 127 1981 L\(^2\) estimates for Galerkin methods for second order hyperbolic equations. Zbl 0239.65087 Dupont, Todd 118 1973 Drop formation in a one-dimensional approximation of the Navier- Stokes equation. Zbl 0804.76027 Eggers, Jens; Dupont, Todd F. 108 1994 A finite difference domain decomposition algorithm for numerical solution of the heat equation. Zbl 0732.65091 Dawson, Clint N.; Du, Qiang; Dupont, Todd F. 95 1991 The hierarchical basis multigrid method. Zbl 0645.65074 Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 93 1988 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 66 1975 An approximate factorization procedure for solving self-adjoint elliptic difference equations. Zbl 0174.47603 Dupont, T.; Kendall, R. P.; Rachford, H. H. jun. 61 1968 A Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072 Douglas, Jim jun.; Dupont, Todd 60 1975 Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051 Douglas, Jim jun.; Dupont, Todd 60 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. 60 1990 Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129 Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway 56 2005 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 54 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 50 1979 Singularities and similarities in interface flows. Zbl 0808.76022 Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P. 47 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. 47 1994 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 46 1975 Three-level Galerkin methods for parabolic equations. Zbl 0313.65107 Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter 36 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 36 1974 Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Zbl 0746.65072 Dawson, Clint N.; Dupont, Todd F. 36 1992 Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096 Douglas, Jim jun.; Dupont, Todd 35 1973 Galerkin methods for first order hyperbolics: An example. Zbl 0237.65070 Dupont, Todd 34 1973 A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050 Douglas, Jim jun.; Dupont, Todd 33 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 33 1972 Mesh modification for evolution equations. Zbl 0493.65044 Dupont, Todd 32 1982 Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064 Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. 32 1979 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. 31 1996 Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017 Douglas, Jim jun.; Dupont, Todd; Serrin, James 30 1971 Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088 Douglas, Jim jun.; Dupont, Todd 26 1971 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 24 2003 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 23 1974 Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046 Douglas, Jim jun.; Dupont, Todd 22 1973 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 22 1978 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 21 2007 A unified theory of superconvergence for Galerkin methods for two-point boundary problems. Zbl 0332.65050 Dupont, Todd 20 1976 Galerkin methods in age and space for a population model with nonlinear diffusion. Zbl 1015.92031 Ayati, Bruce P.; Dupont, Todd F. 18 2002 The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060 Douglas, Jim jun.; Dupont, Todd 15 1975 Symmetric error estimates for moving mesh Galerkin methods for advection-diffusion equations. Zbl 1025.65051 Dupont, Todd F.; Liu, Yingjie 14 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. 10 2003 A factorization procedure for the solution of elliptic difference equations. Zbl 0176.15801 Dupont, T. 9 1969 Superconvergence and postprocessing of fluxes from lowest-order mixed methods on triangles and tetrahedra. Zbl 0912.65085 Dupont, Todd F.; Keenan, Philip T. 8 1998 Optimal order multilevel preconditioners for regularized ill-posed problems. Zbl 1198.65188 Draganescu, Andrei; Dupont, Todd F. 8 2008 Some L\(^2\) error estimates for parabolic Galerkin methods. Zbl 0279.65086 Dupont, Todd 7 1972 Galerkin methods for modeling gas pipelines. Zbl 0302.76035 Dupont, Todd 6 1974 Convergence of a step-doubling Galerkin method for parabolic problems. Zbl 1072.65120 Ayati, Bruce P.; Dupont, Todd F. 6 2005 Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003 Dupont, Todd; Scott, Ridgway 6 1978 Clines with partial panmixia in an environmental pocket. Zbl 1296.92213 Nagylaki, Thomas; Su, Linlin; Alevy, Ian; Dupont, Todd F. 5 2014 Uniqueness and multiplicity of clines in an environmental pocket. Zbl 1425.92217 Nagylaki, Thomas; Su, Linlin; Dupont, Todd F. 5 2019 A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058 Douglas, Jim jun.; Dupont, Todd; Percell, Peter 4 1978 Three-dimensional effects in shock-cylinder interactions. Zbl 1182.76823 Weirs, V. Gregory; Dupont, Todd; Plewa, Tomasz 3 2008 A finite element collocation method for the heat equation. Zbl 0274.65034 Douglas, Jim jun.; Dupont, Todd 3 1972 Preconditioned conjugate gradient iteration applied to Galerkin methods for a mildly nonlinear Dirichlet problem. Zbl 0346.65020 Douglas, Jim jun.; Dupont, Todd 3 1976 \(L_2\) error estimates for projection methods for parabolic equations in approximating domains. Zbl 0382.65050 Dupont, Todd 3 1974 Singularity formation in free-surface Stokes flows. Zbl 1067.76027 Nie, Qing; Tanveer, Saleh; Dupont, Todd F.; Li, Xiaofan 2 2002 The numerical solution of waterflooding problems in petroleum engineering by variational methods. Zbl 0245.65048 Douglas, Jim jun.; Dupont, Todd 2 1970 Some superconvergence results for Galerkin methods for the approximate solution of two-point boundary problems. Zbl 0277.65052 Douglas, Jim jun.; Dupont, Todd 2 1973 \(H^1\)-Galerkin methods for the Laplace and heat equations. Zbl 0347.65047 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 2 1974 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. 2 1977 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. 2 1993 Noniterative domain decomposition for second order hyperbolic problems. Zbl 0804.65097 Dawson, Clint N.; Dupont, Todd F. 2 1994 A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions. Zbl 1215.76060 Dupont, Todd F.; Mogultay, Itir 2 2009 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 1 1999 Some reduced-dimension models based on numerical methods. Zbl 0938.76081 Dupont, Todd F.; Hosoi, A. E. 1 1998 Factorization techniques for elliptic difference equations. Zbl 0221.65058 Dupont, Todd; Stone, H. L.; Rachford, H. H. jun. 1 1970 Some superconvergence results for an H\(^1\)-Galerkin procedure for the heat equation. Zbl 0285.65068 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 1 1974 A Galerkin method for liquid pipelines. Zbl 0364.65095 Dupont, Todd; Rachford, H. H. jun. 1 1976 \(H^{-1}\) Galerkin methods for problems involving several space variables. Zbl 0436.65084 Douglas, Jim jun.; Dupont, Todd 1 1977 The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078 Dupont, Todd F.; Scott, L. Ridgway 1 2013 Uniqueness and multiplicity of clines in an environmental pocket. Zbl 1425.92217 Nagylaki, Thomas; Su, Linlin; Dupont, Todd F. 5 2019 Clines with partial panmixia in an environmental pocket. Zbl 1296.92213 Nagylaki, Thomas; Su, Linlin; Alevy, Ian; Dupont, Todd F. 5 2014 The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078 Dupont, Todd F.; Scott, L. Ridgway 1 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 2 2009 Optimal order multilevel preconditioners for regularized ill-posed problems. Zbl 1198.65188 Draganescu, Andrei; Dupont, Todd F. 8 2008 Three-dimensional effects in shock-cylinder interactions. Zbl 1182.76823 Weirs, V. Gregory; Dupont, Todd; Plewa, Tomasz 3 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 21 2007 Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129 Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway 56 2005 Convergence of a step-doubling Galerkin method for parabolic problems. Zbl 1072.65120 Ayati, Bruce P.; Dupont, Todd F. 6 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 24 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. 10 2003 Galerkin methods in age and space for a population model with nonlinear diffusion. Zbl 1015.92031 Ayati, Bruce P.; Dupont, Todd F. 18 2002 Symmetric error estimates for moving mesh Galerkin methods for advection-diffusion equations. Zbl 1025.65051 Dupont, Todd F.; Liu, Yingjie 14 2002 Singularity formation in free-surface Stokes flows. Zbl 1067.76027 Nie, Qing; Tanveer, Saleh; Dupont, Todd F.; Li, Xiaofan 2 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 1 1999 Superconvergence and postprocessing of fluxes from lowest-order mixed methods on triangles and tetrahedra. Zbl 0912.65085 Dupont, Todd F.; Keenan, Philip T. 8 1998 Some reduced-dimension models based on numerical methods. Zbl 0938.76081 Dupont, Todd F.; Hosoi, A. E. 1 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. 31 1996 Drop formation in a one-dimensional approximation of the Navier- Stokes equation. Zbl 0804.76027 Eggers, Jens; Dupont, Todd F. 108 1994 Singularities and similarities in interface flows. Zbl 0808.76022 Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P. 47 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. 47 1994 Noniterative domain decomposition for second order hyperbolic problems. Zbl 0804.65097 Dawson, Clint N.; Dupont, Todd F. 2 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. 2 1993 Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Zbl 0746.65072 Dawson, Clint N.; Dupont, Todd F. 36 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. 95 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. 60 1990 The hierarchical basis multigrid method. Zbl 0645.65074 Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 93 1988 Mesh modification for evolution equations. Zbl 0493.65044 Dupont, Todd 32 1982 An optimal order process for solving finite element equations. Zbl 0466.65059 Bank, Randolph E.; Dupont, Todd 127 1981 Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009 Dupont, Todd; Scott, Ridgway 180 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 50 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. 32 1979 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 22 1978 Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003 Dupont, Todd; Scott, Ridgway 6 1978 A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058 Douglas, Jim jun.; Dupont, Todd; Percell, Peter 4 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. 2 1977 \(H^{-1}\) Galerkin methods for problems involving several space variables. Zbl 0436.65084 Douglas, Jim jun.; Dupont, Todd 1 1977 A unified theory of superconvergence for Galerkin methods for two-point boundary problems. Zbl 0332.65050 Dupont, Todd 20 1976 Preconditioned conjugate gradient iteration applied to Galerkin methods for a mildly nonlinear Dirichlet problem. Zbl 0346.65020 Douglas, Jim jun.; Dupont, Todd 3 1976 A Galerkin method for liquid pipelines. Zbl 0364.65095 Dupont, Todd; Rachford, H. H. jun. 1 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 66 1975 A Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072 Douglas, Jim jun.; Dupont, Todd 60 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 46 1975 The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060 Douglas, Jim jun.; Dupont, Todd 15 1975 Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051 Douglas, Jim jun.; Dupont, Todd 60 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 54 1974 Three-level Galerkin methods for parabolic equations. Zbl 0313.65107 Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter 36 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 36 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 23 1974 Galerkin methods for modeling gas pipelines. Zbl 0302.76035 Dupont, Todd 6 1974 \(L_2\) error estimates for projection methods for parabolic equations in approximating domains. Zbl 0382.65050 Dupont, Todd 3 1974 \(H^1\)-Galerkin methods for the Laplace and heat equations. Zbl 0347.65047 Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 2 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 1 1974 L\(^2\) estimates for Galerkin methods for second order hyperbolic equations. Zbl 0239.65087 Dupont, Todd 118 1973 Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096 Douglas, Jim jun.; Dupont, Todd 35 1973 Galerkin methods for first order hyperbolics: An example. Zbl 0237.65070 Dupont, Todd 34 1973 A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050 Douglas, Jim jun.; Dupont, Todd 33 1973 Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046 Douglas, Jim jun.; Dupont, Todd 22 1973 Some superconvergence results for Galerkin methods for the approximate solution of two-point boundary problems. Zbl 0277.65052 Douglas, Jim jun.; Dupont, Todd 2 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 33 1972 Some L\(^2\) error estimates for parabolic Galerkin methods. Zbl 0279.65086 Dupont, Todd 7 1972 A finite element collocation method for the heat equation. Zbl 0274.65034 Douglas, Jim jun.; Dupont, Todd 3 1972 Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017 Douglas, Jim jun.; Dupont, Todd; Serrin, James 30 1971 Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088 Douglas, Jim jun.; Dupont, Todd 26 1971 Galerkin methods for parabolic equations. Zbl 0224.35048 Douglas, Jim jun.; Dupont, Todd 135 1970 The numerical solution of waterflooding problems in petroleum engineering by variational methods. Zbl 0245.65048 Douglas, Jim jun.; Dupont, Todd 2 1970 Factorization techniques for elliptic difference equations. Zbl 0221.65058 Dupont, Todd; Stone, H. L.; Rachford, H. H. jun. 1 1970 A factorization procedure for the solution of elliptic difference equations. Zbl 0176.15801 Dupont, T. 9 1969 An approximate factorization procedure for solving self-adjoint elliptic difference equations. Zbl 0174.47603 Dupont, T.; Kendall, R. P.; Rachford, H. H. jun. 61 1968 all cited Publications top 5 cited Publications all top 5 Cited by 2,204 Authors 32 Brenner, Susanne Cecelia 24 Sung, Li-Yeng 23 Yuan, Guangwei 21 Dupont, Todd F. 21 Zhang, Zhimin 19 Douglas, Jim jun. 18 Pani, Amiya Kumar 16 Bramble, James H. 16 Zhang, Shangyou 15 Bank, Randolph E. 15 Di Pietro, Daniele Antonio 14 Bialecki, Bernard 13 Zhou, Zhongguo 12 Axelsson, Axel Owe Holger 12 Burman, Erik 12 Dougalis, Vassilios A. 12 Sheng, Zhiqiang 11 Ewing, Richard Edward 11 Fairweather, Graeme 11 Wahlbin, Lars B. 11 Wheeler, Mary Fanett 11 Yang, Danping 10 Basaran, Osman A. 10 Cockburn, Bernardo 10 Huang, Yunqing 10 Liang, Dong 10 Sun, Tongjun 10 Thomée, Vidar 10 Yserentant, Harry 9 Abdulle, Assyr 9 Eggers, Jens G. 9 Huang, Weizhang 9 Lazarov, Raytcho D. 9 Ma, Keying 9 Pasciak, Joseph E. 9 Xu, Xuejun 8 Arbogast, Todd 8 Bi, Chunjia 8 Boglaev, Igor P. 8 Deka, Bhupen 8 Larson, Mats G. 8 Layton, William J. 8 Leykekhman, Dmitriy 8 Lin, Yanping 8 Neilan, Michael 8 Rincon, Mauro Antonio 8 Scott, Larkin Ridgway 8 Xu, Jinchao 7 Babuška, Ivo 7 Beirão da Veiga, Lourenço 7 Casas, Eduardo 7 Chen, Zhangxin 7 Droniou, Jérôme 7 Ern, Alexandre 7 Ginting, Victor 7 Jun, Younbae 7 Karakashian, Ohannes A. 7 Křížek, Michal 7 Makridakis, Charalambos G. 7 Nochetto, Ricardo Horacio 7 Papageorgiou, Demetrios T. 7 Rannacher, Rolf 7 Scovazzi, Guglielmo 7 Wang, Junping 7 Xu, Da 7 Yuan, Yirang 7 Zhang, Jiansong 7 Zhou, Zhi 7 Zhu, Qiding 7 Zou, Qingsong 6 Ayati, Bruce P. 6 Baker, Garth A. 6 Berikelashvili, Givi 6 Bertozzi, Andrea Louise 6 Carey, Graham Francis 6 Chen, Yanping 6 Cui, Jintao 6 Draganescu, Andrei 6 Guo, Hui 6 Guzmán, Johnny 6 Hansbo, Peter 6 Jin, Bangti 6 Jovanović, Boško S. 6 Korotov, Sergey 6 Lipitakis, Elias A. 6 Nagylaki, Thomas 6 Neittaanmäki, Pekka J. 6 Rui, Hongxing 6 Solano, Manuel E. 6 Taranets, Roman M. 6 Yang, Xuehua 6 Zhang, Haixiang 6 Zhang, Shun 5 Antonopoulos, Dimitrios C. 5 Apel, Thomas 5 Bai, Zhongzhi 5 Bernardi, Christine 5 Cangiani, Andrea 5 Canuto, Claudio 5 Cao, Waixiang ...and 2,104 more Authors all top 5 Cited in 222 Serials 143 Numerische Mathematik 135 Mathematics of Computation 102 Journal of Computational and Applied Mathematics 92 Computer Methods in Applied Mechanics and Engineering 76 Computers & Mathematics with Applications 66 Journal of Scientific Computing 64 Journal of Computational Physics 64 Applied Numerical Mathematics 61 Applied Mathematics and Computation 51 SIAM Journal on Numerical Analysis 46 Numerical Methods for Partial Differential Equations 40 Journal of Fluid Mechanics 39 Physics of Fluids 31 Calcolo 24 SIAM Journal on Scientific Computing 22 Journal of Mathematical Analysis and Applications 21 Computing 20 International Journal of Computer Mathematics 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 Mathematics and Computers in Simulation 14 Numerical Functional Analysis and Optimization 14 RAIRO. Modélisation Mathématique et Analyse Numérique 13 RAIRO. Analyse Numérique 13 Applications of Mathematics 13 Advances in Computational Mathematics 13 Computational Methods in Applied Mathematics 13 Journal of Numerical Mathematics 12 BIT 12 Numerical Linear Algebra with Applications 12 Computational and Applied Mathematics 11 Linear Algebra and its Applications 11 Advances in Applied Mathematics and Mechanics 10 Applied Mathematics Letters 10 Numerical Algorithms 10 Applied Mathematical Modelling 9 Archive for Rational Mechanics and Analysis 9 Aplikace Matematiky 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 International Journal of Numerical Analysis and Modeling 9 Communications in Computational Physics 8 Computers and Fluids 8 Journal of Applied Mathematics and Computing 7 International Journal for Numerical Methods in Fluids 7 Journal of Differential Equations 7 Theoretical Population Biology 7 Science in China. Series A 7 Applied Mathematics. Series B (English Edition) 7 Communications in Nonlinear Science and Numerical Simulation 6 International Journal for Numerical Methods in Engineering 6 Computational Mechanics 6 Mathematical and Computer Modelling 6 Multiscale Modeling & Simulation 6 Science China. Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications 5 Physica D 5 Computing and Visualization in Science 5 Foundations of Computational Mathematics 5 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge 4 Journal of Engineering Mathematics 4 Journal of Mathematical Biology 4 Mathematical Methods in the Applied Sciences 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 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Archives of Computational Methods in Engineering 4 Advances in Difference Equations 4 Results in Applied Mathematics 3 Applicable Analysis 3 Bulletin of the Australian Mathematical Society 3 Ukrainian Mathematical Journal 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Computational Mathematics 3 SIAM Review 3 Cybernetics and Systems Analysis 3 Computational Optimization and Applications 3 Calculus of Variations and Partial Differential Equations 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Mathematical Problems in Engineering 3 European Journal of Mechanics. B. Fluids 3 Differential Equations 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Modern Physics Letters B 2 Acta Mechanica 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 Wave Motion 2 Applied Mathematics and Optimization 2 Journal of Approximation Theory 2 Manuscripta Mathematica 2 SIAM Journal on Control and Optimization ...and 122 more Serials all top 5 Cited in 42 Fields 1,454 Numerical analysis (65-XX) 952 Partial differential equations (35-XX) 384 Fluid mechanics (76-XX) 145 Mechanics of deformable solids (74-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 44 Ordinary differential equations (34-XX) 42 Integral equations (45-XX) 42 Biology and other natural sciences (92-XX) 39 Optics, electromagnetic theory (78-XX) 38 Approximations and expansions (41-XX) 26 Classical thermodynamics, heat transfer (80-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Probability theory and stochastic processes (60-XX) 15 Computer science (68-XX) 14 Potential theory (31-XX) 14 Operator theory (47-XX) 13 Functional analysis (46-XX) 13 Geophysics (86-XX) 12 Real functions (26-XX) 10 Operations research, mathematical programming (90-XX) 9 Systems theory; control (93-XX) 8 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Quantum theory (81-XX) 2 History and biography (01-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) Citations by Year