| Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions J Karátson, S Korotov Numerische Mathematik 99 (4), 669-698, 2005 | 142 | 2005 |
| Numerical solution of nonlinear elliptic problems via preconditioning operators: Theory and applications I Faragó, J Karátson Nova Publishers, 2002 | 126 | 2002 |
| On discrete maximum principles for nonlinear elliptic problems J Karátson, S Korotov, M Křížek Mathematics and Computers in Simulation 76 (1-3), 99-108, 2007 | 68 | 2007 |
| Equivalent operator preconditioning for elliptic problems O Axelsson, J Karátson Numerical Algorithms 50, 297-380, 2009 | 57 | 2009 |
| Discrete maximum principles for nonlinear parabolic PDE systems I Faragó, J Karátson, S Korotov IMA Journal of Numerical Analysis 32 (4), 1541-1573, 2012 | 47 | 2012 |
| Mesh independent superlinear PCG rates via compact-equivalent operators O Axelsson, J Karátson SIAM Journal on Numerical Analysis 45 (4), 1495-1516, 2007 | 46 | 2007 |
| Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space J Karátson, I Faragó SIAM journal on numerical analysis 41 (4), 1242-1262, 2003 | 40 | 2003 |
| Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators O Axelsson, J Karátson Numerische Mathematik 99 (2), 197-223, 2004 | 38 | 2004 |
| Multiplicity for semilinear elliptic equations involving singular nonlinearity J Hernández, J Karátson, PL Simon Nonlinear analysis 65 (2), 265-283, 2006 | 34 | 2006 |
| Preconditioning operators and Sobolevgradients for nonlinear elliptic problems J Karátson, I Faragó Computers & Mathematics with Applications 50 (7), 1077-1092, 2005 | 34 | 2005 |
| On the rate of convergence of the conjugate gradient method for linear operators in Hilbert space O Axelsson, J Karátson Taylor & Francis Group 23 (3-4), 285-302, 2002 | 26 | 2002 |
| The gradient-finite element method for elliptic problems I Faragó, J Karátson Computers & Mathematics with Applications 42 (8-9), 1043-1053, 2001 | 25 | 2001 |
| An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems J Karátson, S Korotov SIAM journal on numerical analysis 47 (4), 2518-2549, 2009 | 24 | 2009 |
| Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems J Karátson, S Korotov Int. J. Numer. Anal. Model 6 (1), 1-16, 2009 | 24 | 2009 |
| Symmetric part preconditioning for the conjugate gradient method in Hilbert space O Axelsson, J Karátson Numerical Functional Analysis and Optimization 24 (5-6), 455-474, 2003 | 24 | 2003 |
| Bifurcations for semilinear elliptic equations with convex nonlinearity J Karatson, PL Simon Southwest Texas State University, Department of Mathematics, 1999 | 24 | 1999 |
| On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity J Karátson, PL Simon Journal of Computational and Applied Mathematics 131 (1-2), 497-501, 2001 | 23 | 2001 |
| Exact multiplicity for degenerate two-point boundary value problems with p-convex nonlinearity J Karatson, PL Simon Nonlinear Analysis: Theory, Methods & Applications 52 (6), 1569-1590, 2003 | 22 | 2003 |
| Sobolev space preconditioning for Newton's method using domain decomposition O Axelsson, I Faragó, J Karátson Numerical linear algebra with applications 9 (6‐7), 585-598, 2002 | 21 | 2002 |
| Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures J Karátson, S Korotov Journal of Computational and Applied Mathematics 192 (1), 75-88, 2006 | 20 | 2006 |
| Sobolev gradient preconditioning for the electrostatic potential equation J Karatson, L Loczi Computers & Mathematics with Applications 50 (7), 1093-1104, 2005 | 20 | 2005 |
| A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems I Antal, J Karátson Computers & Mathematics with Applications 55 (10), 2185-2196, 2008 | 19 | 2008 |
| Mesh independent superlinear convergence estimates of the conjugate gradient method for some equivalent self-adjoint operators J Karatson Applications of Mathematics 50 (3), 277-290, 2005 | 17 | 2005 |
| Constructive Sobolev gradient preconditioning for semilinear elliptic systems. J Karatson Electronic Journal of Differential Equations (EJDE)[electronic only] 2004 …, 2004 | 17 | 2004 |
| Discrete maximum principles for the FEM solution of some nonlinear parabolic problems JKAR ATSON Electronic Transactions on Numerical Analysis 36, 149-167, 2010 | 16 | 2010 |
| Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems J Karátson, T Kurics Journal of computational and applied mathematics 212 (2), 214-230, 2008 | 16 | 2008 |
| On the linearized stability of positive solutions of quasilinear problems with p-convex or p-concave nonlinearity J Karátson, PL Simon Nonlinear Analysis: Theory, Methods & Applications 47 (7), 4513-4520, 2001 | 16 | 2001 |
| Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems J Karatson, S Korotov Applications of Mathematics 54 (4), 297-336, 2009 | 14 | 2009 |
| The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations J Karátson Journal of Applied Analysis 3 (2), 225-237, 1997 | 14 | 1997 |
| Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems O Axelsson, R Blaheta, P Byczanski, J Karátson, B Ahmad Journal of Computational and Applied Mathematics 280, 141-157, 2015 | 13 | 2015 |
| On the Lipschitz continuity of derivatives for some scalar nonlinearities J Karátson Journal of mathematical analysis and applications 346 (1), 170-176, 2008 | 13 | 2008 |
| Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems O Axelsson, J Karátson Mathematics and Computers in Simulation 64 (6), 649-668, 2004 | 13 | 2004 |
| A preconditioned iterative solution scheme for nonlinear parabolic systems arising in air pollution modeling J Karátson, T Kurics Mathematical Modelling and Analysis 18 (5), 641-653, 2013 | 12 | 2013 |
| Newton's method in the context of gradients. J Karatson, JW Neuberger Electronic Journal of Differential Equations (EJDE)[electronic only] 2007 …, 2007 | 12 | 2007 |
| Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks O Axelsson, J Karátson Numerische Mathematik 146 (2), 335-368, 2020 | 10 | 2020 |
| Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations O Axelsson, J Karátson, F Magoulès Journal of Computational and Applied Mathematics 340, 424-431, 2018 | 10 | 2018 |
| Mesh independent superlinear convergence of an inner–outer iterative method for semilinear elliptic interface problems I Antal, J Karátson Journal of computational and applied mathematics 226 (2), 190-196, 2009 | 10 | 2009 |
| Superlinear PCG algorithms: symmetric part preconditioning and boundary conditions J Karátson Numerical Functional Analysis and Optimization 29 (5-6), 590-611, 2008 | 10 | 2008 |
| A parallel algorithm for systems of convection-diffusion equations J Karátson, T Kurics, I Lirkov Numerical Methods and Applications: 6th International Conference, NMA 2006 …, 2007 | 10 | 2007 |
| Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces B Borsos, J Karátson IMA Journal of Numerical Analysis 42 (2), 1806-1830, 2022 | 8 | 2022 |
| Reaching the superlinear convergence phase of the CG method O Axelsson, J Karátson Journal of computational and applied mathematics 260, 244-257, 2014 | 8 | 2014 |
| Characterizing Mesh Independent Quadratic Convergence of Newton's Method for a Class of Elliptic Problems J Karátson SIAM Journal on Mathematical Analysis 44 (3), 1279-1303, 2012 | 8 | 2012 |
| Superlinear convergence of the GMRES for PDE-constrained optimization problems O Axelsson, J Karátson Numerical Functional Analysis and Optimization 39 (9), 921-936, 2018 | 7 | 2018 |
| Superlinear convergence under complex shifted Laplace preconditioners for Helmholtz equations O Axelsson, J Karátson, F Magoules preprint, 2018 | 7 | 2018 |
| Some discrete maximum principles arising for nonlinear elliptic finite element problems J Karátson, S Korotov Computers & Mathematics with Applications 70 (11), 2732-2741, 2015 | 7 | 2015 |
| Gradient method in Sobolev spaces for nonlocal boundary-value problems J Karatson Southwest Texas State University, Department of Mathematics, 2000 | 7 | 2000 |
| Variable preconditioning for strongly nonlinear elliptic problems B Borsos, J Karátson Journal of Computational and Applied Mathematics 350, 155-164, 2019 | 6 | 2019 |
| Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation J Karátson, B Kovács Computers & Mathematics with Applications 65 (3), 449-459, 2013 | 6 | 2013 |
| The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations J Karátson Pure Mathematics and Applications 6 (2-3), 191-201, 1995 | 6 | 1995 |
| Qualitative properties of nonlinear parabolic operators I Faragó, R Horváth, J Karátson, S Korotov Journal of Mathematical Analysis and Applications 448 (1), 473-497, 2017 | 5 | 2017 |
| A maximum principle for some nonlinear cooperative elliptic PDE systems with mixed boundary conditions J Karátson Journal of Mathematical Analysis and Applications 444 (2), 900-910, 2016 | 5 | 2016 |
| Harmonic averages, exact difference schemes and local Green’s functions in variable coefficient PDE problems O Axelsson, J Karátson Open Mathematics 11 (8), 1441-1457, 2013 | 5 | 2013 |
| Efficient preconditioned solution methods for elliptic partial differential equations O Axelsson, J Karátson Bentham Science Publishers, 2011 | 5 | 2011 |
| Numerikus funkcionálanalízis K János Department of Applied Analysis and Computational Mathematics at Eötvös …, 2010 | 5 | 2010 |
| Sobolev gradient type preconditioning for the Saint-Venant model of elasto-plastic torsion I Farago, J Karatson Int. J. Numer. Anal. Model 5 (2), 206-221, 2008 | 5 | 2008 |
| On the superlinear convergence rate of the preconditioned CGM for some nonsymmetric elliptic problems J Karátson Numerical Functional Analysis and Optimization 28 (9-10), 1153-1164, 2007 | 5 | 2007 |
| On the Applicationn of Preconditioning Operators for Nonlinear Elliptic Problems O Axelsson, I Faragó, J Karátson Conjugate Gradient Algorithms and Finite Element Methods, 247-261, 2004 | 5 | 2004 |
| Double Sobolev gradient preconditioning for elliptic problems O Axelsson, J Karátson Report, 2000 | 5 | 2000 |
| Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners O Axelsson, J Karátson, F Magoulès SIAM Journal on Numerical Analysis 61 (2), 1057-1079, 2023 | 4 | 2023 |
| Robust iterative solvers for Gao type nonlinear beam models in elasticity B Borsos, J Karátson Computational Methods in Applied Mathematics 22 (1), 1-13, 2022 | 4 | 2022 |
| On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations J Karátson, T Kurics International Conference on Numerical Analysis and Its Applications, 345-352, 2008 | 4 | 2008 |
| Symmetric part preconditioning of the CG method for Stokes type saddle-point systems O Axelsson, J Karátson Numerical Functional Analysis and Optimization 28 (9-10), 1027-1049, 2007 | 4 | 2007 |
| Sobolev space preconditioning of strongly nonlinear 4th order elliptic problems J Karátson International Conference on Numerical Analysis and Its Applications, 459-466, 2000 | 4 | 2000 |
| Gradient method for non-injective operators in Hilbert space with application to Neumann problems J Karátson Applicationes Mathematicae 26 (3), 333-346, 1999 | 4 | 1999 |
| Krylov improvements of the Uzawa method for Stokes type operator matrices O Axelsson, J Karátson Numerische Mathematik 148, 611-631, 2021 | 3 | 2021 |
| Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality O Axelsson, J Karátson, B Kovács SIAM Journal on Numerical Analysis 52 (6), 2957-2976, 2014 | 3 | 2014 |
| Parciális differenciálegyenletek numerikus módszerei számítógépes alkalmazásokkal J Karátson, R Horváth, F Izsák Digitális Tankönyvtár, 2013 | 3 | 2013 |
| Parciális differenciálegyenletek numerikus módszerei számıtógépes alkalmazásokkal H Róbert, I Ferenc, K János Elektronikus jegyzet, 2013 | 3 | 2013 |
| Discrete maximum principles for FEM solutions of nonlinear elliptic systems J Karátson, S Korotov | 3 | 2009 |
| Sobolev gradient preconditioning for elliptic reaction–diffusion problems with some nonsmooth nonlinearities J Karátson Journal of Computational and Applied Mathematics 363, 223-233, 2020 | 2 | 2020 |
| Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling I Faragó, J Karátson, S Korotov Mathematics and Computers in Simulation 139, 37-53, 2017 | 2 | 2017 |
| Numerical preconditioning methods for elliptic PDEs JW Neuberger, J Karatson Sobolev Gradients and Differential Equations, 245-257, 2010 | 2 | 2010 |
| Some superlinear PCG methods for discretized elliptic problems J Karátson, T Kurics AIP Conference Proceedings 1148 (1), 861-864, 2009 | 2 | 2009 |
| Double Sobolev gradient preconditioning for nonlinear elliptic problems O Axelsson, J Karátson Numerical Methods for Partial Differential Equations: An International …, 2007 | 2 | 2007 |
| A convergent time discretization scheme for nonlinear parabolic transport systems J Karátson, T Kurics | 2 | 2007 |
| Gradient-finite element method for nonlinear Neumann problems I Farago, J Karátson Journal of Applied Analysis 7 (2), 257-269, 2001 | 2 | 2001 |
| Gradient method for non-uniformly convex functionals in Hilbert space J Karátson Pure Mathematics and Applications 11 (2), 309-316, 2000 | 2 | 2000 |
| The conjugate gradient method for a class of non-differentiable operators J Karátson Annales Univ. Sci. ELTE 40, 121-130, 1997 | 2 | 1997 |
| Rates of robust superlinear convergence of preconditioned Krylov methods for elliptic FEM problems SJ Castillo, J Karátson Numerical Algorithms, 1-20, 2023 | 1 | 2023 |
| Preconditioned iterative solution methods for linear systems arising in PDE-constrained optimization O Axelsson, M Neytcheva, J Karátson Nova Science Publishers, Inc., 2019 | 1 | 2019 |
| Qualitative properties of nonlinear parabolic operators II: the case of PDE systems J Csóka, I Faragó, R Horváth, J Karátson, S Korotov Journal of Mathematical Analysis and Applications 468 (1), 64-86, 2018 | 1 | 2018 |
| Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part O Axelsson, J Karátson Journal of Computational and Applied Mathematics 310, 155-164, 2017 | 1 | 2017 |
| Discrete maximum principles for nonlinear elliptic finite element problems on Riemannian manifolds with boundary J Karátson, B Kovács, S Korotov arXiv preprint arXiv:1701.00424, 2017 | 1 | 2017 |
| A parallel numerical solution approach for nonlinear parabolic systems arising in air pollution transport problems J Karátson, B Kovács Mathematical Problems in Meteorological Modelling, 57-70, 2016 | 1 | 2016 |
| Discrete maximum principles C Mihály, K János Master’s thesis, Eötvös Loránd University, 2013 | 1 | 2013 |
| Operator preconditioning with efficient applications for nonlinear elliptic problems J Karátson Central European Journal of Mathematics 10, 231-249, 2012 | 1 | 2012 |
| Preconditioning of block tridiagonal matrices O Axelsson, J Karatson Mathematisches Forschungsinstitut Oberwolfach, 2008 | 1 | 2008 |
| Sobolev regularity of the second biharmonic problem on a rectangle J Karátson Acta Mathematica Hungarica 109, 255-259, 2005 | 1 | 2005 |
| Quasi‐Newton variable preconditioning for nonlinear elasticity systems in 3D J Karátson, S Sysala, M Béreš Numerical Linear Algebra with Applications 31 (3), e2537, 2024 | | 2024 |
| Newton-Krylov methods for non-linear elliptic systems SJC Jaramillo, J Karátson | | 2023 |
| Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation J Karátson Journal of Computational Physics 463, 111235, 2022 | | 2022 |
| Detection of dead cores for reaction-diffusion equations with a non-smooth nonlinearity B Hingyi, J Karátson Applied Numerical Mathematics 177, 111-122, 2022 | | 2022 |
| Superlinear convergence of the conjugate gradient method for elliptic partial differential equations with unbounded reaction coefficient SJC Jaramillo | | 2022 |
| Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity B Borsos, J Karátson Computational Methods in Applied Mathematics 22 (2), 327-340, 2022 | | 2022 |
| Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary J Karátson, B Kovács, S Korotov IMA Journal of Numerical Analysis 40 (2), 1241-1265, 2020 | | 2020 |
| Qualitative properties of discrete nonlinear parabolic operators R Horváth, I Faragó, J Karátson Numerische Mathematik 143, 529-554, 2019 | | 2019 |
| Numerical algorithms for scientific and engineering applications Z Zlatev, I Dimov, K Georgiev, S Margenov Journal of Computational and Applied Mathematics 100 (310), 1-4, 2017 | | 2017 |
| Numerikus funkcionálanalízis J Karátson Budapest, 2014 | | 2014 |
| Robust streamline diffusion preconditioning for convection-dominated elliptic problems O Axelsson, J Karátson, B Kovács SIAM JOURNAL ON NUMERICAL ANALYSIS 52 (6), 2957-2976, 2014 | | 2014 |
| Editors’ preface for the topical issue “Numerical Methods for Large-Scale Scientific Computing, II” J Karátson, S Korotov, S Margenov Open Mathematics 11 (8), 1359-1360, 2013 | | 2013 |
Sergey KorotovMälardalen UniversityVerified email at mdu.se
