János Karátson

According to our database1, János Karátson authored at least 34 papers between 2000 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2023
Robust Superlinear Krylov Convergence for Complex Noncoercive Compact-Equivalent Operator Preconditioners.
SIAM J. Numer. Anal., April, 2023

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

Quasi-Newton Iterative Solution of Non-Orthotropic Elliptic Problems in 3D with Boundary Nonlinearity.
Comput. Methods Appl. Math., 2022

Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity.
Comput. Methods Appl. Math., 2022

2021
Krylov improvements of the Uzawa method for Stokes type operator matrices.
Numerische Mathematik, 2021

2020
Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks.
Numerische Mathematik, 2020

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

2019
Qualitative properties of discrete nonlinear parabolic operators.
Numerische Mathematik, 2019

Variable preconditioning for strongly nonlinear elliptic problems.
J. Comput. Appl. Math., 2019

2018
Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations.
J. Comput. Appl. Math., 2018

2017
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling.
Math. Comput. Simul., 2017

Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part.
J. Comput. Appl. Math., 2017

2015
Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems.
J. Comput. Appl. Math., 2015

Some discrete maximum principles arising for nonlinear elliptic finite element problems.
Comput. Math. Appl., 2015

2014
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality.
SIAM J. Numer. Anal., 2014

Reaching the superlinear convergence phase of the CG method.
J. Comput. Appl. Math., 2014

2013
Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation.
Comput. Math. Appl., 2013

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

2009
An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems.
SIAM J. Numer. Anal., 2009

Equivalent operator preconditioning for elliptic problems.
Numer. Algorithms, 2009

A Discrete Maximum Principle for Nonlinear Elliptic Systems with Interface Conditions.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems.
Comput. Math. Appl., 2008

On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

2007
Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators.
SIAM J. Numer. Anal., 2007

On discrete maximum principles for nonlinear elliptic problems.
Math. Comput. Simul., 2007

Mesh Independent Convergence Rates Via Differential Operator Pairs.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

2006
A Parallel Algorithm for Systems of Convection-Diffusion Equations.
Proceedings of the Numerical Methods and Applications, 6th International Conference, 2006

2005
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions.
Numerische Mathematik, 2005

2004
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators.
Numerische Mathematik, 2004

Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems.
Math. Comput. Simul., 2004

2003
Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space.
SIAM J. Numer. Anal., 2003

2002
Sobolev space preconditioning for Newton's method using domain decomposition.
Numer. Linear Algebra Appl., 2002

2001
Sobolev Space Preconditioning for Mixed Nonlinear Elliptic Boundary Value Problems.
Proceedings of the Large-Scale Scientific Computing, Third International Conference, 2001

2000
Sobolev Space Preconditioning of Strongly Nonlinear 4th Order Elliptic Problems.
Proceedings of the Numerical Analysis and Its Applications, 2000


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