Edit Profile (opens in new tab) Dupont, Todd F. Compute Distance To: Compute Author ID: dupont.todd-f Published as: Dupont, Todd; Dupont, Todd F.; Dupont, T. more...less External Links: MGP Documents Indexed: 74 Publications since 1968, including 1 Book Co-Authors: 39 Co-Authors with 65 Joint Publications 1,462 Co-Co-Authors all top 5 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 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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 1,994 times in 1,626 Documents Cited by ▼ Year ▼ Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009Dupont, Todd; Scott, Ridgway 168 1980 Galerkin methods for parabolic equations. Zbl 0224.35048Douglas, Jim jun.; Dupont, Todd 130 1970 An optimal order process for solving finite element equations. Zbl 0466.65059Bank, Randolph E.; Dupont, Todd 122 1981 L\(^2\) estimates for Galerkin methods for second order hyperbolic equations. Zbl 0239.65087Dupont, Todd 111 1973 Drop formation in a one-dimensional approximation of the Navier- Stokes equation. Zbl 0804.76027Eggers, Jens; Dupont, Todd F. 103 1994 The hierarchical basis multigrid method. Zbl 0645.65074Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 92 1988 A finite difference domain decomposition algorithm for numerical solution of the heat equation. Zbl 0732.65091Dawson, Clint N.; Du, Qiang; Dupont, Todd F. 89 1991 An approximate factorization procedure for solving self-adjoint elliptic difference equations. Zbl 0174.47603Dupont, T.; Kendall, R. P.; Rachford, H. H. jun. 61 1968 Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051Douglas, Jim jun.; Dupont, Todd 60 1974 A Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072Douglas, Jim jun.; Dupont, Todd 58 1975 A priori estimates for mixed finite element methods for the wave equation. Zbl 0724.65087Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 57 1990 The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces. Zbl 0297.41022Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 56 1975 Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway 52 2005 Singularities and similarities in interface flows. Zbl 0808.76022Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P. 45 1994 Optimal \(L_\infty\) error estimates for Galerkin approximations to solutions of two-point boundary value problems. Zbl 0306.65053Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 45 1975 A family of \(C^1\) finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 43 1979 Explicit/implicit, conservative domain decomposition procedures for parabolic problems based on block-centered finite differences. Zbl 0806.65093Dawson, Clint N.; Dupont, Todd F. 41 1994 Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces. Zbl 0279.65097Douglas, Jim jun.; Dupont, Todd 38 1974 Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Zbl 0746.65072Dawson, Clint N.; Dupont, Todd F. 35 1992 Three-level Galerkin methods for parabolic equations. Zbl 0313.65107Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter 35 1974 Galerkin methods for first order hyperbolics: An example. Zbl 0237.65070Dupont, Todd 33 1973 Mesh modification for evolution equations. Zbl 0493.65044Dupont, Todd 32 1982 Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096Douglas, Jim jun.; Dupont, Todd 32 1973 An \(L^\infty\) estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. Zbl 0315.65062Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 32 1974 A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050Douglas, Jim jun.; Dupont, Todd 31 1973 Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. 30 1979 Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017Douglas, Jim jun.; Dupont, Todd; Serrin, James 30 1971 A priori estimates for mixed finite element approximations of second-order hyperbolic equations with absorbing boundary conditions. Zbl 0859.65097Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 29 1996 Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094Bramble, James H.; Dupont, Todd; Thomee, Vidar 28 1972 Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function. Zbl 1031.65110Dupont, Todd F.; Liu, Yingjie 22 2003 A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. Zbl 0315.65063Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 22 1974 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 21 1978 Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046Douglas, Jim jun.; Dupont, Todd 21 1973 Back and forth error compensation and correction methods for semi-Lagrangian schemes with application to level set interface computations. Zbl 1116.65100Dupont, Todd F.; Liu, Yingjie 19 2007 A unified theory of superconvergence for Galerkin methods for two-point boundary problems. Zbl 0332.65050Dupont, Todd 17 1976 Galerkin methods in age and space for a population model with nonlinear diffusion. Zbl 1015.92031Ayati, Bruce P.; Dupont, Todd F. 17 2002 The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060Douglas, Jim jun.; Dupont, Todd 14 1975 Symmetric error estimates for moving mesh Galerkin methods for advection-diffusion equations. Zbl 1025.65051Dupont, Todd F.; Liu, Yingjie 13 2002 Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088Douglas, Jim jun.; Dupont, Todd 12 1971 Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085Liu, 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 0176.15801Dupont, T. 9 1969 Superconvergence and postprocessing of fluxes from lowest-order mixed methods on triangles and tetrahedra. Zbl 0912.65085Dupont, Todd F.; Keenan, Philip T. 7 1998 Optimal order multilevel preconditioners for regularized ill-posed problems. Zbl 1198.65188Draganescu, Andrei; Dupont, Todd F. 7 2008 Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003Dupont, Todd; Scott, Ridgway 6 1978 Galerkin methods for modeling gas pipelines. Zbl 0302.76035Dupont, Todd 6 1974 Clines with partial panmixia in an environmental pocket. Zbl 1296.92213Nagylaki, Thomas; Su, Linlin; Alevy, Ian; Dupont, Todd F. 5 2014 Convergence of a step-doubling Galerkin method for parabolic problems. Zbl 1072.65120Ayati, Bruce P.; Dupont, Todd F. 5 2005 A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058Douglas, Jim jun.; Dupont, Todd; Percell, Peter 4 1978 Uniqueness and multiplicity of clines in an environmental pocket. Zbl 1425.92217Nagylaki, Thomas; Su, Linlin; Dupont, Todd F. 4 2019 Some L\(^2\) error estimates for parabolic Galerkin methods. Zbl 0279.65086Dupont, Todd 4 1972 Preconditioned conjugate gradient iteration applied to Galerkin methods for a mildly nonlinear Dirichlet problem. Zbl 0346.65020Douglas, Jim jun.; Dupont, Todd 3 1976 A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions. Zbl 1215.76060Dupont, Todd F.; Mogultay, Itir 3 2009 Three-dimensional effects in shock-cylinder interactions. Zbl 1182.76823Weirs, V. Gregory; Dupont, Todd; Plewa, Tomasz 3 2008 A finite element collocation method for the heat equation. Zbl 0274.65034Douglas, Jim jun.; Dupont, Todd 3 1972 The influence of spatial inhomogeneities on neutral models of geographical variation. III: Migration across a geographical barrier. Zbl 0783.92029Nagylaki, Thomas; Keenan, Philip T.; Dupont, Todd F. 2 1993 Local \(H^{-1}\) Galerkin and adjoint local \(H^{-1}\) Galerkin procedures for elliptic equations. Zbl 0362.65092Douglas, Jim jun.; Dupont, Todd; Rachford, Henry H. jun.; Wheeler, Mary F. 2 1977 \(L_2\) error estimates for projection methods for parabolic equations in approximating domains. Zbl 0382.65050Dupont, Todd 2 1974 Noniterative domain decomposition for second order hyperbolic problems. Zbl 0804.65097Dawson, Clint N.; Dupont, Todd F. 2 1994 The numerical solution of waterflooding problems in petroleum engineering by variational methods. Zbl 0245.65048Douglas, Jim jun.; Dupont, Todd 2 1970 The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078Dupont, Todd F.; Scott, L. Ridgway 1 2013 Singularity formation in free-surface Stokes flows. Zbl 1067.76027Nie, Qing; Tanveer, Saleh; Dupont, Todd F.; Li, Xiaofan 1 2002 The influence of spatial inhomogeneities on neutral models of geographical variation. IV: Discontinuities in the population density and migration rate. Zbl 0960.92024Ayati, Bruce P.; Dupont, Todd F.; Nagylaki, Thomas 1 1999 \(H^{-1}\) Galerkin methods for problems involving several space variables. Zbl 0436.65084Douglas, Jim jun.; Dupont, Todd 1 1977 \(H^1\)-Galerkin methods for the Laplace and heat equations. Zbl 0347.65047Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 1 1974 A Galerkin method for liquid pipelines. Zbl 0364.65095Dupont, Todd; Rachford, H. H. jun. 1 1976 Some reduced-dimension models based on numerical methods. Zbl 0938.76081Dupont, Todd F.; Hosoi, A. E. 1 1998 Factorization techniques for elliptic difference equations. Zbl 0221.65058Dupont, Todd; Stone, H. L.; Rachford, H. H. jun. 1 1970 Some superconvergence results for an H\(^1\)-Galerkin procedure for the heat equation. Zbl 0285.65068Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 1 1974 Uniqueness and multiplicity of clines in an environmental pocket. Zbl 1425.92217Nagylaki, Thomas; Su, Linlin; Dupont, Todd F. 4 2019 Clines with partial panmixia in an environmental pocket. Zbl 1296.92213Nagylaki, Thomas; Su, Linlin; Alevy, Ian; Dupont, Todd F. 5 2014 The power method for tensor eigenproblems and limiting directions of Newton iterates. Zbl 1313.65078Dupont, Todd F.; Scott, L. Ridgway 1 2013 A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions. Zbl 1215.76060Dupont, Todd F.; Mogultay, Itir 3 2009 Optimal order multilevel preconditioners for regularized ill-posed problems. Zbl 1198.65188Draganescu, Andrei; Dupont, Todd F. 7 2008 Three-dimensional effects in shock-cylinder interactions. Zbl 1182.76823Weirs, 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 1116.65100Dupont, Todd F.; Liu, Yingjie 19 2007 Failure of the discrete maximum principle for an elliptic finite element problem. Zbl 1074.65129Draganescu, Andrei; Dupont, Todd F.; Scott, L. Ridgway 52 2005 Convergence of a step-doubling Galerkin method for parabolic problems. Zbl 1072.65120Ayati, Bruce P.; Dupont, Todd F. 5 2005 Back and forth error compensation and correction methods for removing errors induced by uneven gradients of the level set function. Zbl 1031.65110Dupont, Todd F.; Liu, Yingjie 22 2003 Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. Zbl 1038.65085Liu, 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 1015.92031Ayati, Bruce P.; Dupont, Todd F. 17 2002 Symmetric error estimates for moving mesh Galerkin methods for advection-diffusion equations. Zbl 1025.65051Dupont, Todd F.; Liu, Yingjie 13 2002 Singularity formation in free-surface Stokes flows. Zbl 1067.76027Nie, Qing; Tanveer, Saleh; Dupont, Todd F.; Li, Xiaofan 1 2002 The influence of spatial inhomogeneities on neutral models of geographical variation. IV: Discontinuities in the population density and migration rate. Zbl 0960.92024Ayati, Bruce P.; Dupont, Todd F.; Nagylaki, Thomas 1 1999 Superconvergence and postprocessing of fluxes from lowest-order mixed methods on triangles and tetrahedra. Zbl 0912.65085Dupont, Todd F.; Keenan, Philip T. 7 1998 Some reduced-dimension models based on numerical methods. Zbl 0938.76081Dupont, 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 0859.65097Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 29 1996 Drop formation in a one-dimensional approximation of the Navier- Stokes equation. Zbl 0804.76027Eggers, Jens; Dupont, Todd F. 103 1994 Singularities and similarities in interface flows. Zbl 0808.76022Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P. 45 1994 Explicit/implicit, conservative domain decomposition procedures for parabolic problems based on block-centered finite differences. Zbl 0806.65093Dawson, Clint N.; Dupont, Todd F. 41 1994 Noniterative domain decomposition for second order hyperbolic problems. Zbl 0804.65097Dawson, 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 0783.92029Nagylaki, Thomas; Keenan, Philip T.; Dupont, Todd F. 2 1993 Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Zbl 0746.65072Dawson, Clint N.; Dupont, Todd F. 35 1992 A finite difference domain decomposition algorithm for numerical solution of the heat equation. Zbl 0732.65091Dawson, Clint N.; Du, Qiang; Dupont, Todd F. 89 1991 A priori estimates for mixed finite element methods for the wave equation. Zbl 0724.65087Cowsar, Lawrence C.; Dupont, Todd F.; Wheeler, Mary F. 57 1990 The hierarchical basis multigrid method. Zbl 0645.65074Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 92 1988 Mesh modification for evolution equations. Zbl 0493.65044Dupont, Todd 32 1982 An optimal order process for solving finite element equations. Zbl 0466.65059Bank, Randolph E.; Dupont, Todd 122 1981 Polynomial approximation of functions in Sobolev spaces. Zbl 0423.65009Dupont, Todd; Scott, Ridgway 168 1980 A family of \(C^1\) finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems. Zbl 0419.65068Douglas, Jim jun.; Dupont, Todd; Percell, Peter; Scott, Ridgway 43 1979 Incomplete iteration for time-stepping a Galerkin method for a quasilinear parabolic problem. Zbl 0411.65064Douglas, Jim jun.; Dupont, Todd; Ewing, Richard E. 30 1979 A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations. Zbl 0385.65052Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 21 1978 Constructive polynomial approximation in Sobolev spaces. Zbl 0456.65003Dupont, Todd; Scott, Ridgway 6 1978 A time-stepping method for Galerkin approximations for nonlinear parabolic equations. Zbl 0381.65058Douglas, Jim jun.; Dupont, Todd; Percell, Peter 4 1978 Local \(H^{-1}\) Galerkin and adjoint local \(H^{-1}\) Galerkin procedures for elliptic equations. Zbl 0362.65092Douglas, Jim jun.; Dupont, Todd; Rachford, Henry H. jun.; Wheeler, Mary F. 2 1977 \(H^{-1}\) Galerkin methods for problems involving several space variables. Zbl 0436.65084Douglas, Jim jun.; Dupont, Todd 1 1977 A unified theory of superconvergence for Galerkin methods for two-point boundary problems. Zbl 0332.65050Dupont, Todd 17 1976 Preconditioned conjugate gradient iteration applied to Galerkin methods for a mildly nonlinear Dirichlet problem. Zbl 0346.65020Douglas, Jim jun.; Dupont, Todd 3 1976 A Galerkin method for liquid pipelines. Zbl 0364.65095Dupont, Todd; Rachford, H. H. jun. 1 1976 A Galerkin method for a nonlinear Dirichlet problem. Zbl 0306.65072Douglas, Jim jun.; Dupont, Todd 58 1975 The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces. Zbl 0297.41022Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 56 1975 Optimal \(L_\infty\) error estimates for Galerkin approximations to solutions of two-point boundary value problems. Zbl 0306.65053Douglas, Jim jun.; Dupont, Todd; Wahlbin, Lars 45 1975 The effect of interpolating the coefficients in nonlinear parabolic Galerkin procedures. Zbl 0311.65060Douglas, Jim jun.; Dupont, Todd 14 1975 Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces. Zbl 0331.65051Douglas, Jim jun.; Dupont, Todd 60 1974 Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces. Zbl 0279.65097Douglas, Jim jun.; Dupont, Todd 38 1974 Three-level Galerkin methods for parabolic equations. Zbl 0313.65107Dupont, Todd; Fairweather, Graeme; Johnson, J. Peter 35 1974 An \(L^\infty\) estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. Zbl 0315.65062Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 32 1974 A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. Zbl 0315.65063Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 22 1974 Galerkin methods for modeling gas pipelines. Zbl 0302.76035Dupont, Todd 6 1974 \(L_2\) error estimates for projection methods for parabolic equations in approximating domains. Zbl 0382.65050Dupont, Todd 2 1974 \(H^1\)-Galerkin methods for the Laplace and heat equations. Zbl 0347.65047Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary F. 1 1974 Some superconvergence results for an H\(^1\)-Galerkin procedure for the heat equation. Zbl 0285.65068Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett 1 1974 L\(^2\) estimates for Galerkin methods for second order hyperbolic equations. Zbl 0239.65087Dupont, Todd 111 1973 Galerkin methods for first order hyperbolics: An example. Zbl 0237.65070Dupont, Todd 33 1973 Galerkin methods for parabolic equations with nonlinear boundary conditions. Zbl 0234.65096Douglas, Jim jun.; Dupont, Todd 32 1973 A finite element collocation method for quasilinear parabolic equations. Zbl 0256.65050Douglas, Jim jun.; Dupont, Todd 31 1973 Superconvergence for Galerkin methods for the two point boundary problem via local projections. Zbl 0281.65046Douglas, Jim jun.; Dupont, Todd 21 1973 Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections. Zbl 0279.65094Bramble, James H.; Dupont, Todd; Thomee, Vidar 28 1972 Some L\(^2\) error estimates for parabolic Galerkin methods. Zbl 0279.65086Dupont, Todd 4 1972 A finite element collocation method for the heat equation. Zbl 0274.65034Douglas, Jim jun.; Dupont, Todd 3 1972 Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017Douglas, Jim jun.; Dupont, Todd; Serrin, James 30 1971 Alternating-direction Galerkin methods on rectangles. Zbl 0239.65088Douglas, Jim jun.; Dupont, Todd 12 1971 Galerkin methods for parabolic equations. Zbl 0224.35048Douglas, Jim jun.; Dupont, Todd 130 1970 The numerical solution of waterflooding problems in petroleum engineering by variational methods. Zbl 0245.65048Douglas, Jim jun.; Dupont, Todd 2 1970 Factorization techniques for elliptic difference equations. Zbl 0221.65058Dupont, Todd; Stone, H. L.; Rachford, H. H. jun. 1 1970 A factorization procedure for the solution of elliptic difference equations. Zbl 0176.15801Dupont, T. 9 1969 An approximate factorization procedure for solving self-adjoint elliptic difference equations. Zbl 0174.47603Dupont, T.; Kendall, R. P.; Rachford, H. H. jun. 61 1968 all cited Publications top 5 cited Publications all top 5 Cited by 2,017 Authors 30 Brenner, Susanne Cecelia 21 Dupont, Todd F. 21 Yuan, Guangwei 21 Zhang, Zhimin 19 Douglas, Jim jun. 16 Bramble, James H. 16 Pani, Amiya Kumar 15 Bank, Randolph E. 15 Di Pietro, Daniele Antonio 15 Zhang, Shangyou 12 Axelsson, Axel Owe Holger 12 Sheng, Zhiqiang 11 Burman, Erik 11 Dougalis, Vassilios A. 11 Ewing, Richard Edward 11 Wahlbin, Lars B. 11 Yang, Danping 10 Basaran, Osman A. 10 Bialecki, Bernard 10 Cockburn, Bernardo 10 Liang, Dong 10 Thomée, Vidar 10 Wheeler, Mary Fanett 10 Yserentant, Harry 9 Abdulle, Assyr 9 Fairweather, Graeme 9 Huang, Weizhang 9 Huang, Yunqing 9 Lazarov, Raytcho D. 9 Ma, Keying 9 Pasciak, Joseph E. 9 Sun, Tongjun 9 Xu, Xuejun 9 Zhou, Zhongguo 8 Bi, Chunjia 8 Boglaev, Igor P. 8 Eggers, Jens G. 8 Layton, William J. 8 Leykekhman, Dmitriy 8 Lin, Yanping 8 Rincon, Mauro Antonio 8 Scott, Larkin Ridgway 8 Xu, Jinchao 7 Babuška, Ivo 7 Casas, Eduardo 7 Chen, Zhangxin 7 Ern, Alexandre 7 Ginting, Victor 7 Jun, Younbae 7 Karakashian, Ohannes A. 7 Křížek, Michal 7 Larson, Mats G. 7 Makridakis, Charalambos G. 7 Nochetto, Ricardo Horacio 7 Papageorgiou, Demetrios T. 7 Wang, Junping 7 Yuan, Yirang 7 Zhang, Jiansong 7 Zhou, Zhi 7 Zou, Qingsong 6 Arbogast, Todd 6 Ayati, Bruce P. 6 Baker, Garth A. 6 Beirão da Veiga, Lourenço 6 Carey, Graham Francis 6 Cui, Jintao 6 Deka, Bhupen 6 Draganescu, Andrei 6 Droniou, Jérôme 6 Hansbo, Peter 6 He, Xiaoming 6 Jin, Bangti 6 Korotov, Sergey 6 Lipitakis, Elias A. 6 Nagylaki, Thomas 6 Neilan, Michael 6 Neittaanmäki, Pekka J. 6 Rannacher, Rolf 6 Rui, Hongxing 6 Scovazzi, Guglielmo 6 Taranets, Roman M. 5 Antonopoulos, Dimitrios C. 5 Apel, Thomas 5 Bai, Zhongzhi 5 Berikelashvili, Givi 5 Bernardi, Christine 5 Bertozzi, Andrea Louise 5 Cangiani, Andrea 5 Canuto, Claudio 5 Cao, Waixiang 5 Chen, Chuanmiao 5 Chen, Huanzhen 5 Chen, Long 5 Chen, Yanping 5 Chrysafinos, Konstantinos 5 Deineka, V. S. 5 Du, Qiang 5 Evans, David John 5 Georgoulis, Emmanuil H. 5 Gudi, Thirupathi ...and 1,917 more Authors all top 5 Cited in 203 Serials 142 Numerische Mathematik 133 Mathematics of Computation 98 Journal of Computational and Applied Mathematics 87 Computer Methods in Applied Mechanics and Engineering 67 Computers & Mathematics with Applications 60 Journal of Scientific Computing 59 Applied Mathematics and Computation 59 Applied Numerical Mathematics 55 Journal of Computational Physics 43 SIAM Journal on Numerical Analysis 39 Physics of Fluids 38 Journal of Fluid Mechanics 34 Numerical Methods for Partial Differential Equations 28 Calcolo 22 SIAM Journal on Scientific Computing 21 Computing 20 Journal of Mathematical Analysis and Applications 17 International Journal of Computer Mathematics 15 Mathematics and Computers in Simulation 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Numerical Functional Analysis and Optimization 14 RAIRO. Modélisation Mathématique et Analyse Numérique 13 RAIRO. Analyse Numérique 12 BIT 12 Numerical Linear Algebra with Applications 11 Linear Algebra and its Applications 11 Advances in Computational Mathematics 11 Journal of Numerical Mathematics 10 Applied Mathematics Letters 10 Applied Mathematical Modelling 10 Computational and Applied Mathematics 10 Computational Methods in Applied Mathematics 10 Advances in Applied Mathematics and Mechanics 9 Archive for Rational Mechanics and Analysis 9 Aplikace Matematiky 9 Applications of Mathematics 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Numerical Algorithms 8 Computers and Fluids 8 Communications in Computational Physics 7 International Journal for Numerical Methods in Fluids 7 Theoretical Population Biology 7 Science in China. Series A 7 Applied Mathematics. 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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 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 Mathematical Methods in the Applied Sciences 3 Ukrainian Mathematical Journal 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Computing and Visualization in Science 3 Differential Equations 3 Discrete and Continuous Dynamical Systems. Series B 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 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Matrix Analysis and Applications 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 ...and 103 more Serials all top 5 Cited in 42 Fields 1,330 Numerical analysis (65-XX) 869 Partial differential equations (35-XX) 346 Fluid mechanics (76-XX) 134 Mechanics of deformable solids (74-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 41 Ordinary differential equations (34-XX) 39 Integral equations (45-XX) 38 Biology and other natural sciences (92-XX) 36 Approximations and expansions (41-XX) 35 Optics, electromagnetic theory (78-XX) 27 Classical thermodynamics, heat transfer (80-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Computer science (68-XX) 13 Operator theory (47-XX) 13 Probability theory and stochastic processes (60-XX) 12 Functional analysis (46-XX) 11 Potential theory (31-XX) 10 Real functions (26-XX) 10 Operations research, mathematical programming (90-XX) 7 Statistics (62-XX) 7 Geophysics (86-XX) 7 Systems theory; control (93-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Special functions (33-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 Mathematics education (97-XX) Citations by Year