Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems. - János Karátson (NAA, 2000)

Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems. - János Karátson; István Faragó (LSSC, 2001)

Sobolev space preconditioning for Newton's method using domain decomposition. - Owe Axelsson; István Faragó; János Karátson (Numer. Linear Algebra Appl., 2002)

Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space. - János Karátson; István Faragó (SIAM J. Numer. Anal., 2003)

Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems. - Owe Axelsson; János Karátson (Math. Comput. Simul., 2004)

Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. - Owe Axelsson; János Karátson (Numerische Mathematik, 2004)

Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. - János Karátson; Sergey Korotov (Numerische Mathematik, 2005)

A Parallel Algorithm for Systems of Convection-Diffusion Equations. - János Karátson; Tamás Kurics; Ivan Lirkov (Numerical Methods and Applications, 2006)

Mesh Independent Convergence Rates Via Differential Operator Pairs. - Owe Axelsson; János Karátson (LSSC, 2007)

On discrete maximum principles for nonlinear elliptic problems. - János Karátson; Sergey Korotov; Michal Krízek (Math. Comput. Simul., 2007)

Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators. - Owe Axelsson; János Karátson (SIAM J. Numer. Anal., 2007)

On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations. - János Karátson; Tamás Kurics (NAA, 2008)

A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. - István Antal; János Karátson (Comput. Math. Appl., 2008)

A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions. - János Karátson (LSSC, 2009)

Equivalent operator preconditioning for elliptic problems. - Owe Axelsson; János Karátson (Numer. Algorithms, 2009)

An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems. - János Karátson; Sergey Korotov (SIAM J. Numer. Anal., 2009)

Characterizing Mesh Independent Quadratic Convergence of Newton's Method for a Class of Elliptic Problems. - János Karátson (SIAM J. Math. Anal., 2012)

Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. - János Karátson; Balázs Kovács (Comput. Math. Appl., 2013)

Reaching the superlinear convergence phase of the CG method. - Owe Axelsson; János Karátson (J. Comput. Appl. Math., 2014)

Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality. - Owe Axelsson; János Karátson; Balázs Kovács (SIAM J. Numer. Anal., 2014)

Some discrete maximum principles arising for nonlinear elliptic finite element problems. - János Karátson; Sergey Korotov (Comput. Math. Appl., 2015)

Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems. - Owe Axelsson; Radim Blaheta; Petr Byczanski; János Karátson; Bashir Ahmad 003 (J. Comput. Appl. Math., 2015)

Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part. - Owe Axelsson; János Karátson (J. Comput. Appl. Math., 2017)

Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. - István Faragó; János Karátson; Sergey Korotov (Math. Comput. Simul., 2017)

Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. - Owe Axelsson; János Karátson; Frédéric Magoulès (J. Comput. Appl. Math., 2018)

Variable preconditioning for strongly nonlinear elliptic problems. - Benjámin Borsos; János Karátson (J. Comput. Appl. Math., 2019)

Qualitative properties of discrete nonlinear parabolic operators. - Róbert Horváth; István Faragó; János Karátson (Numerische Mathematik, 2019)

Sobolev gradient preconditioning for elliptic reaction-diffusion problems with some nonsmooth nonlinearities. - János Karátson (J. Comput. Appl. Math., 2020)

Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks. - Owe Axelsson; János Karátson (Numerische Mathematik, 2020)

Krylov improvements of the Uzawa method for Stokes type operator matrices. - Owe Axelsson; János Karátson (Numerische Mathematik, 2021)

Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity. - Benjámin Borsos; János Karátson (Comput. Methods Appl. Math., 2022)

Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity. - Benjámin Borsos; János Karátson (Comput. Methods Appl. Math., 2022)

Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation. - János Karátson (J. Comput. Phys., 2022)

Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners. - Owe Axelsson; János Karátson; Frédéric Magoulès (SIAM J. Numer. Anal., 2023)

Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D. - János Karátson; Stanislav Sysala; Michal Béres (Numer. Linear Algebra Appl., 2024)

Rates of robust superlinear convergence of preconditioned Krylov methods for elliptic FEM problems. - Sebastian-Josue Castillo; János Karátson (Numer. Algorithms, 2024)

Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity. - János Karátson; Stanislav Sysala; Michal Béres (Comput. Math. Appl., 2025)

Superlinear Krylov convergence under streamline diffusion FEM for convection-dominated elliptic operators. - János Karátson (Numer. Linear Algebra Appl., 2025)