Edit Profile (opens in new tab) Karátson, János Co-Author Distance Author ID: karatson.janos Published as: Karátson, János; Karátson, J.; Karatson, Janos; Karátson, Janos more...less Documents Indexed: 88 Publications since 1993, including 1 Book 2 Contributions as Editor Reviewing Activity: 53 Reviews Co-Authors: 20 Co-Authors with 65 Joint Publications 657 Co-Co-Authors all top 5 Co-Authors 25 single-authored 22 Axelsson, Axel Owe Holger 15 Faragó, István 15 Korotov, Sergey 5 Simon, Peter L. 4 Borsos, Benjámin 4 Kovacs, Balazs A. 4 Kurics, Tamás 3 Horváth, Robert A. 2 Antal, István 2 Magoulès, Frédéric 2 Margenov, Svetozar D. 1 Ahmad, Bashir 1 Blaheta, Radim 1 Byczanski, Petr 1 Csóka, József 1 Hingyi, B. 1 Křížek, Michal 1 Lirkov, Ivan D. 1 Lóczi, Lajos 1 Neuberger, John W. all top 5 Serials 10 Journal of Computational and Applied Mathematics 6 Computers & Mathematics with Applications 6 Numerical Functional Analysis and Optimization 5 Journal of Mathematical Analysis and Applications 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Central European Journal of Mathematics 3 IMA Journal of Numerical Analysis 3 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Mathematica Hungarica 2 Applications of Mathematics 2 PU.M.A. Pure Mathematics and Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Applied Analysis 2 Computational Methods in Applied Mathematics 2 International Journal of Numerical Analysis and Modeling 1 Journal of Computational Physics 1 Periodica Mathematica Hungarica 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 SIAM Journal on Mathematical Analysis 1 Applicationes Mathematicae 1 Numerical Linear Algebra with Applications 1 Mathematical Modelling and Analysis 1 Advances in Computation: Theory and Practice all top 5 Fields 70 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 13 Operator theory (47-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Functional analysis (46-XX) 5 Fluid mechanics (76-XX) 4 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 488 times in 265 Documents Cited by ▼ Year ▼ Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127 Karátson, J.; Korotov, S. 48 2005 Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117 Faragó, I.; Karátson, J. 42 2002 On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093 Karátson, János; Korotov, Sergey; Křížek, Michal 31 2007 Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Zbl 1061.65043 Axelsson, O.; Karátson, J. 23 2004 Mesh independent superlinear PCG rates via compact-equivalent operators. Zbl 1151.65081 Axelsson, Owe; Karátson, János 23 2007 Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088 Faragó, István; Karátson, János; Korotov, Sergey 21 2012 Multiplicity for semilinear elliptic equations involving singular nonlinearity. Zbl 1387.35232 Hernández, J.; Karátson, J.; Simon, P. L. 20 2006 Equivalent operator preconditioning for elliptic problems. Zbl 1162.65024 Axelsson, O.; Karátson, J. 19 2009 Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122 Karátson, J.; Faragó, I. 18 2005 Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309 Karátson, János; Faragó, István 16 2003 Sobolev gradient preconditioning for the electrostatic potential equation. Zbl 1098.65113 Karátson, J.; Lóczi, L. 12 2005 On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space. Zbl 1011.65026 Axelsson, O.; Karátson, J. 12 2002 The gradient-finite element method for elliptic problems. Zbl 0987.65121 Faragó, I.; Karátson, J. 10 2001 Symmetric part preconditioning for the conjugate gradient method in Hilbert space. Zbl 1054.65055 Axelsson, O.; Karátson, J. 10 2003 Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. Zbl 1309.65035 Axelsson, Owe; Blaheta, Radim; Byczanski, Petr; Karátson, János; Ahmad, Bashir 10 2015 An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060 Karátson, János; Korotov, Sergey 9 2009 Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems. Zbl 1151.65082 Karátson, J.; Kurics, T. 8 2008 Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Zbl 1432.65035 Axelsson, Owe; Karátson, János; Magoulès, Fréderic 8 2018 Bifurcations for semilinear elliptic equations convex nonlinearity. Zbl 0933.35058 Karátson, J.; Simon, P. L. 7 1999 On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity. Zbl 0992.35048 Karátson, J.; Simon, P. L. 7 2001 Constructive Sobolev gradient preconditioning for semilinear elliptic systems. Zbl 1109.65308 Karatson, Janos 7 2004 Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076 Karátson, János; Korotov, Sergey 7 2009 Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547 Axelsson, O.; Faragó, I.; Karátson, J. 6 2002 Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424 Karátson, J.; Korotov, S. 6 2006 Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268 Faragó, István; Karátson, János; Korotov, Sergey 5 2010 Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity. Zbl 1028.34024 Karátson, J.; Simon, P. L. 5 2003 On the linearized stability of positive solutions of quasilinear problems with \(p\)-convex or \(p\)-concave nonlinearity. Zbl 1042.35558 Karátson, J.; Simon, P. L. 5 2001 Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems. Zbl 1163.65071 Antal, István; Karátson, János 5 2009 On the Lipschitz continuity of derivatives for some scalar nonlinearities. Zbl 1152.47047 Karátson, J. 5 2008 A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Zbl 1142.65439 Antal, I.; Karátson, J. 5 2008 Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces. Zbl 1500.65019 Borsos, B.; Karátson, J. 5 2022 Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249 Karátson, János; Korotov, Sergey 5 2009 Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Zbl 1088.74013 Axelsson, O.; Karátson, J. 4 2004 Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators. Zbl 1099.65033 Karátson, János 4 2005 A parallel algorithm for systems of convection-diffusion equations. Zbl 1137.65432 Karátson, János; Kurics, Tamás; Lirkov, Ivan 3 2007 Newton’s method in the context of gradients. Zbl 1135.65337 Karatson, Janos; Neuberger, John W. 3 2007 The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations. Zbl 0852.47035 Karátson, J. 3 1995 Superlinear convergence of the GMRES for PDE-constrained optimization problems. Zbl 1392.49035 Axelsson, O.; Karátson, J. 3 2018 Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207 Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 3 2017 Variable preconditioning for strongly nonlinear elliptic problems. Zbl 1414.65033 Borsos, B.; Karátson, J. 3 2019 Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089 Faragó, István; Karátson, János 2 2008 On the superlinear convergence rate of the preconditioned CGM for some nonsymmetric elliptic problems. Zbl 1140.65076 Karátson, J. 2 2007 The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations. Zbl 0899.46061 Karátson, J. 2 1997 Sobolev space preconditioning of strongly nonlinear 4th order elliptic problems. Zbl 0978.65105 Karátson, János 2 2001 Double Sobolev gradient preconditioning for nonlinear elliptic problems. Zbl 1133.65095 Axelsson, O.; Karátson, J. 2 2007 Reaching the superlinear convergence phase of the CG method. Zbl 1293.65045 Axelsson, O.; Karátson, J. 2 2014 A maximum principle for some nonlinear cooperative elliptic PDE systems with mixed boundary conditions. Zbl 1347.35052 Karátson, János 2 2016 Superlinear PCG algorithms: Symmetric part preconditioning and boundary conditions. Zbl 1145.65034 Karátson, J. 2 2008 Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Zbl 1319.65047 Karátson, J.; Kovács, B. 2 2013 Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347 Karátson, J.; Korotov, Sergey 2 2015 Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks. Zbl 1451.65025 Axelsson, Owe; Karátson, János 2 2020 A preconditioned iterative solution scheme for nonlinear parabolic systems arising in air pollution modeling. Zbl 1291.65267 Karátson, János; Kurics, Tamás 2 2013 Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities. Zbl 1422.65390 Karátson, J. 2 2020 Symmetric part preconditioning of the CG method for Stokes type saddle-point systems. Zbl 1140.65023 Axelsson, O.; Karátson, J. 1 2007 Characterizing mesh independent quadratic convergence of Newton’s method for a class of elliptic problems. Zbl 1252.65189 Karátson, János 1 2012 Condition number analysis for various forms of block matrix preconditioners. Zbl 1205.65145 Axelsson, Owe; Karátson, János 1 2010 Gradient method in Sobolev spaces for nonlocal boundary-value problems. Zbl 0995.35020 Karátson, J. 1 2000 Gradient method for non-injective operators in Hilbert space with application to Neumann problems. Zbl 1002.46046 Karátson, János 1 1999 Gradient method for non-uniformly convex functionals in Hilbert space. Zbl 0980.46054 Karátson, János 1 2000 Operator preconditioning with efficient applications for nonlinear elliptic problems. Zbl 1247.65146 Karátson, Janos 1 2012 Robust preconditioning estimates for convection-dominated elliptic problems via a streamline Poincaré-Friedrichs inequality. Zbl 1312.65182 Axelsson, Owe; Karátson, János; Kovács, Balázs 1 2014 A parallel numerical solution approach for nonlinear parabolic systems arising in air pollution transport problems. Zbl 1356.76236 Karátson, János; Kovács, Balázs 1 2016 Harmonic averages, exact difference schemes and local Green’s functions in variable coefficient PDE problems. Zbl 1273.65107 Axelsson, Owe; Karátson, János 1 2013 Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139 Karátson, János; Kovács, Balázs; Korotov, Sergey 1 2020 Robust iterative solvers for Gao type nonlinear beam models in elasticity. Zbl 1482.65211 Borsos, Benjámin; Karátson, János 1 2022 Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141 Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 1 2018 Krylov improvements of the Uzawa method for Stokes type operator matrices. Zbl 1473.65033 Axelsson, Owe; Karátson, János 1 2021 Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners. Zbl 1515.65073 Axelsson, Owe; Karátson, János; Magoulès, Frédéric 1 2023 Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846 Faragó, István; Karátson, János; Korotov, Sergey 1 2017 Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners. Zbl 1515.65073 Axelsson, Owe; Karátson, János; Magoulès, Frédéric 1 2023 Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces. Zbl 1500.65019 Borsos, B.; Karátson, J. 5 2022 Robust iterative solvers for Gao type nonlinear beam models in elasticity. Zbl 1482.65211 Borsos, Benjámin; Karátson, János 1 2022 Krylov improvements of the Uzawa method for Stokes type operator matrices. Zbl 1473.65033 Axelsson, Owe; Karátson, János 1 2021 Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks. Zbl 1451.65025 Axelsson, Owe; Karátson, János 2 2020 Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities. Zbl 1422.65390 Karátson, J. 2 2020 Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139 Karátson, János; Kovács, Balázs; Korotov, Sergey 1 2020 Variable preconditioning for strongly nonlinear elliptic problems. Zbl 1414.65033 Borsos, B.; Karátson, J. 3 2019 Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Zbl 1432.65035 Axelsson, Owe; Karátson, János; Magoulès, Fréderic 8 2018 Superlinear convergence of the GMRES for PDE-constrained optimization problems. Zbl 1392.49035 Axelsson, O.; Karátson, J. 3 2018 Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141 Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 1 2018 Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207 Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 3 2017 Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846 Faragó, István; Karátson, János; Korotov, Sergey 1 2017 A maximum principle for some nonlinear cooperative elliptic PDE systems with mixed boundary conditions. Zbl 1347.35052 Karátson, János 2 2016 A parallel numerical solution approach for nonlinear parabolic systems arising in air pollution transport problems. Zbl 1356.76236 Karátson, János; Kovács, Balázs 1 2016 Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. Zbl 1309.65035 Axelsson, Owe; Blaheta, Radim; Byczanski, Petr; Karátson, János; Ahmad, Bashir 10 2015 Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347 Karátson, J.; Korotov, Sergey 2 2015 Reaching the superlinear convergence phase of the CG method. Zbl 1293.65045 Axelsson, O.; Karátson, J. 2 2014 Robust preconditioning estimates for convection-dominated elliptic problems via a streamline Poincaré-Friedrichs inequality. Zbl 1312.65182 Axelsson, Owe; Karátson, János; Kovács, Balázs 1 2014 Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Zbl 1319.65047 Karátson, J.; Kovács, B. 2 2013 A preconditioned iterative solution scheme for nonlinear parabolic systems arising in air pollution modeling. Zbl 1291.65267 Karátson, János; Kurics, Tamás 2 2013 Harmonic averages, exact difference schemes and local Green’s functions in variable coefficient PDE problems. Zbl 1273.65107 Axelsson, Owe; Karátson, János 1 2013 Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088 Faragó, István; Karátson, János; Korotov, Sergey 21 2012 Characterizing mesh independent quadratic convergence of Newton’s method for a class of elliptic problems. Zbl 1252.65189 Karátson, János 1 2012 Operator preconditioning with efficient applications for nonlinear elliptic problems. Zbl 1247.65146 Karátson, Janos 1 2012 Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268 Faragó, István; Karátson, János; Korotov, Sergey 5 2010 Condition number analysis for various forms of block matrix preconditioners. Zbl 1205.65145 Axelsson, Owe; Karátson, János 1 2010 Equivalent operator preconditioning for elliptic problems. Zbl 1162.65024 Axelsson, O.; Karátson, J. 19 2009 An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060 Karátson, János; Korotov, Sergey 9 2009 Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076 Karátson, János; Korotov, Sergey 7 2009 Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems. Zbl 1163.65071 Antal, István; Karátson, János 5 2009 Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249 Karátson, János; Korotov, Sergey 5 2009 Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems. Zbl 1151.65082 Karátson, J.; Kurics, T. 8 2008 On the Lipschitz continuity of derivatives for some scalar nonlinearities. Zbl 1152.47047 Karátson, J. 5 2008 A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Zbl 1142.65439 Antal, I.; Karátson, J. 5 2008 Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion. Zbl 1138.35089 Faragó, István; Karátson, János 2 2008 Superlinear PCG algorithms: Symmetric part preconditioning and boundary conditions. Zbl 1145.65034 Karátson, J. 2 2008 On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093 Karátson, János; Korotov, Sergey; Křížek, Michal 31 2007 Mesh independent superlinear PCG rates via compact-equivalent operators. Zbl 1151.65081 Axelsson, Owe; Karátson, János 23 2007 A parallel algorithm for systems of convection-diffusion equations. Zbl 1137.65432 Karátson, János; Kurics, Tamás; Lirkov, Ivan 3 2007 Newton’s method in the context of gradients. Zbl 1135.65337 Karatson, Janos; Neuberger, John W. 3 2007 On the superlinear convergence rate of the preconditioned CGM for some nonsymmetric elliptic problems. Zbl 1140.65076 Karátson, J. 2 2007 Double Sobolev gradient preconditioning for nonlinear elliptic problems. Zbl 1133.65095 Axelsson, O.; Karátson, J. 2 2007 Symmetric part preconditioning of the CG method for Stokes type saddle-point systems. Zbl 1140.65023 Axelsson, O.; Karátson, J. 1 2007 Multiplicity for semilinear elliptic equations involving singular nonlinearity. Zbl 1387.35232 Hernández, J.; Karátson, J.; Simon, P. L. 20 2006 Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424 Karátson, J.; Korotov, S. 6 2006 Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127 Karátson, J.; Korotov, S. 48 2005 Preconditioning operators and Sobolev gradients for nonlinear elliptic problems. Zbl 1118.65122 Karátson, J.; Faragó, I. 18 2005 Sobolev gradient preconditioning for the electrostatic potential equation. Zbl 1098.65113 Karátson, J.; Lóczi, L. 12 2005 Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators. Zbl 1099.65033 Karátson, János 4 2005 Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. Zbl 1061.65043 Axelsson, O.; Karátson, J. 23 2004 Constructive Sobolev gradient preconditioning for semilinear elliptic systems. Zbl 1109.65308 Karatson, Janos 7 2004 Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. Zbl 1088.74013 Axelsson, O.; Karátson, J. 4 2004 Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space. Zbl 1130.65309 Karátson, János; Faragó, István 16 2003 Symmetric part preconditioning for the conjugate gradient method in Hilbert space. Zbl 1054.65055 Axelsson, O.; Karátson, J. 10 2003 Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity. Zbl 1028.34024 Karátson, J.; Simon, P. L. 5 2003 Numerical solution of nonlinear elliptic problems via preconditioning operators. Theory and applications. Zbl 1030.65117 Faragó, I.; Karátson, J. 42 2002 On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space. Zbl 1011.65026 Axelsson, O.; Karátson, J. 12 2002 Sobolev space preconditioning for Newton’s method using domain decomposition. Zbl 1071.65547 Axelsson, O.; Faragó, I.; Karátson, J. 6 2002 The gradient-finite element method for elliptic problems. Zbl 0987.65121 Faragó, I.; Karátson, J. 10 2001 On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity. Zbl 0992.35048 Karátson, J.; Simon, P. L. 7 2001 On the linearized stability of positive solutions of quasilinear problems with \(p\)-convex or \(p\)-concave nonlinearity. Zbl 1042.35558 Karátson, J.; Simon, P. L. 5 2001 Sobolev space preconditioning of strongly nonlinear 4th order elliptic problems. Zbl 0978.65105 Karátson, János 2 2001 Gradient method in Sobolev spaces for nonlocal boundary-value problems. Zbl 0995.35020 Karátson, J. 1 2000 Gradient method for non-uniformly convex functionals in Hilbert space. Zbl 0980.46054 Karátson, János 1 2000 Bifurcations for semilinear elliptic equations convex nonlinearity. Zbl 0933.35058 Karátson, J.; Simon, P. L. 7 1999 Gradient method for non-injective operators in Hilbert space with application to Neumann problems. Zbl 1002.46046 Karátson, János 1 1999 The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations. Zbl 0899.46061 Karátson, J. 2 1997 The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations. Zbl 0852.47035 Karátson, J. 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 344 Authors 46 Karátson, János 21 Axelsson, Axel Owe Holger 19 Korotov, Sergey 9 Raza, Nauman 9 Sial, Sultan 8 Faragó, István 8 Hai, Dang Dinh 8 Křížek, Michal 8 Vejchodský, Tomáš 6 Boulbrachene, Messaoud 6 Shivaji, Ratnasingham 5 Huang, Weizhang 5 Simon, Peter L. 4 Borsos, Benjámin 4 Cheng, Jiangang 4 Chu, Khanh Duc 4 Hannukainen, Antti 4 Horváth, Robert A. 4 Kurics, Tamás 4 Siddiqi, Shahid Saeed 4 Zhu, Yunrong 3 Adewole, Matthew Olayiwola 3 Awanou, Gerard Michel 3 Blaheta, Radim 3 Brandts, Jan H. 3 Butt, Asma Rashid 3 Dassi, Franco 3 Harbi, Abida 3 Hieu, Le Minh 3 Kovacs, Balazs A. 3 Li, Xianping 3 Matus, Pëtr Paŭlavich 3 Neuberger, John W. 3 Pollock, Sara 3 Protas, Bartosz 3 Scacchi, Simone 3 Shayegan, Amir Hossein Salehi 3 Šolín, Pavel 3 Sreenadh, Konijeti 3 Strakoš, Zdeněk 3 Svyatsky, Daniil 3 Yi, Dokkyun 3 Yuan, Guangwei 3 Zakeri, Ali 2 Al Farei, Qais 2 Antal, István 2 Blanc, Xavier 2 Gáspár, Csaba 2 Gaspar, Francisco José 2 Gergelits, Tomáš 2 Ghattas, Omar N. 2 Gyulov, Tihomir B. 2 Hermeline, François 2 Holst, Michael J. 2 Javid, Ahmad 2 John, Volker 2 Khafagy, Salah Abdelnaby 2 Koleva, Miglena Nikolaeva 2 Kuzmin, Dmitri 2 Labourasse, Emmanuel 2 Lipnikov, Konstantin N. 2 Lu, Changna 2 Magoulès, Frédéric 2 Manzini, Gianmarco 2 Mukherjee, Tuhina 2 Nakshatrala, Kalyana B. 2 Neytcheva, Maya G. 2 Patela, Julie 2 Pearson, John W. 2 Poliakov, Dmitriy 2 Pultarová, Ivana 2 Qiu, Jingmei 2 Rasouli, Sayyed Hashem 2 Rynne, Bryan P. 2 Segeth, Karel 2 Serra-Capizzano, Stefano 2 Simoncini, Valeria 2 Toulopoulos, Ioannis 2 Vulkov, Lubin G. 2 Xiong, Tao 2 Xu, Zhengfu 2 Zhai, Chengbo 1 Abdulle, Assyr 1 Afrouzi, Ghasem Alizadeh 1 Ahmed, Abubaker 1 Ahmed, Tazuddin 1 Aleja, David 1 Alger, Nick 1 Alouges, François 1 An, Hengbin 1 Aouragh, My Driss 1 Araiza, Roberto 1 Averseng, Martin 1 Awasthi, Ashish 1 Awi, Roméo 1 Azmi, Behzad 1 Badea, Lori 1 Barrenechea, Gabriel R. 1 Bebendorf, Mario 1 Benedusi, Pietro ...and 244 more Authors all top 5 Cited in 91 Serials 21 Journal of Computational and Applied Mathematics 16 Journal of Computational Physics 15 Computers & Mathematics with Applications 14 Journal of Mathematical Analysis and Applications 13 Numerische Mathematik 11 Applied Mathematics and Computation 8 SIAM Journal on Scientific Computing 6 Mathematics and Computers in Simulation 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Numerical Functional Analysis and Optimization 6 Applied Numerical Mathematics 6 Central European Journal of Mathematics 5 Numerical Algorithms 4 Applications of Mathematics 4 International Journal of Computer Mathematics 4 Computational Methods in Applied Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 BIT 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 3 Journal of Scientific Computing 3 SIAM Review 3 Numerical Linear Algebra with Applications 3 Complex Variables and Elliptic Equations 2 Computing 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 Differential Equations and Dynamical Systems 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Mathematical Modelling and Analysis 2 Applied Mathematics E-Notes 2 International Journal of Computational Methods 2 Communications in Computational Physics 2 Journal of Function Spaces 1 International Journal for Numerical Methods in Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Calcolo 1 Kyungpook Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of the Nigerian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Mathematics and Modeling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational Optimization and Applications 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Computing and Visualization in Science 1 Optimization Methods & Software 1 Positivity 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Journal of Function Spaces and Applications 1 Acta Numerica 1 Advances in Difference Equations 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Optimization Letters 1 Networks and Heterogeneous Media 1 SIAM Journal on Imaging Sciences 1 Journal of Electrical and Computer Engineering 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of Applied Mathematics & Informatics 1 S\(\vec{\text{e}}\)MA Journal 1 Advances in Nonlinear Analysis 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 AIMS Mathematics all top 5 Cited in 29 Fields 203 Numerical analysis (65-XX) 145 Partial differential equations (35-XX) 25 Ordinary differential equations (34-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 16 Operator theory (47-XX) 11 Fluid mechanics (76-XX) 9 Mechanics of deformable solids (74-XX) 7 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Geophysics (86-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year