István Faragó

Orcid: 0000-0002-4615-7615

According to our database1, István Faragó authored at least 69 papers between 2000 and 2024.

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Bibliography

2024
On the convergence of multiple Richardson extrapolation combined with explicit Runge-Kutta methods.
Period. Math. Hung., June, 2024

High-order reliable numerical methods for epidemic models with non-constant recruitment rate.
CoRR, 2024

2023
A Coupled PDE-ODE Model for Nonlinear Transient Heat Transfer with Convection Heating at the Boundary: Numerical Solution by Implicit Time Discretization and Sequential Decoupling.
Axioms, April, 2023

On the Consistency and convergence of Classical Richardson extrapolation as Applied to Explicit One-Step Methods.
Math. Model. Anal., January, 2023

Some qualitative properties of the discrete models for malaria propagation.
Appl. Math. Comput., 2023

A Nonstandard Finite Difference Method for a General Epidemic Model.
Proceedings of the Large-Scale Scientific Computations - 14th International Conference, 2023

2022
Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions.
Comput. Methods Appl. Math., 2022

Mathematical Modelling of Nonlinear Heat Conduction with Relaxing Boundary Conditions.
Proceedings of the Numerical Methods and Applications - 10th International Conference, 2022

On the Consistency and Convergence of Repeated Richardson Extrapolation.
Proceedings of the Numerical Methods and Applications - 10th International Conference, 2022

2021
Operator splitting and error analysis in malaria modeling.
Appl. Math. Comput., 2021

Running an Atmospheric Chemistry Scheme from a Large Air Pollution Model by Using Advanced Versions of the Richardson Extrapolation.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

On the Consistency Order of Runge-Kutta Methods Combined with Active Richardson Extrapolation.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

2020
Advanced numerical methods for complex scientific and engineering problems: Editorial introduction.
J. Comput. Appl. Math., 2020

The linearization methods as a basis to derive the relaxation and the shooting methods.
CoRR, 2020

Explicit Runge-Kutta Methods Combined with Advanced Versions of the Richardson Extrapolation.
Comput. Methods Appl. Math., 2020

Space dependent models for studying the spread of some diseases.
Comput. Math. Appl., 2020

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

Replacing the finite difference methods for nonlinear two-point boundary value problems by successive application of the linear shooting method.
J. Comput. Appl. Math., 2019

Studying the Influence of Climate Changes on European Ozone Levels.
Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Two Epidemic Propagation Models and Their Properties.
Proceedings of the Advances in High Performance Computing, 2019

2018
Numerical Methods for Advanced Scientific Models: Editorial Introduction.
J. Comput. Appl. Math., 2018

Qualitative properties of some discrete models of disease propagation.
J. Comput. Appl. Math., 2018

Absolute Stability and Implementation of the Two-Times Repeated Richardson Extrapolation Together with Explicit Runge-Kutta Methods.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

Stability Properties of Repeated Richardson Extrapolation Applied Together with Some Implicit Runge-Kutta Methods.
Proceedings of the Finite Difference Methods. Theory and Applications, 2018

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

Stability of the Richardson Extrapolation combined with some implicit Runge-Kutta methods.
J. Comput. Appl. Math., 2017

Improvement of accuracy of multi-scale models of Li-ion batteries by applying operator splitting techniques.
J. Comput. Appl. Math., 2017

Shooting-projection method for two-point boundary value problems.
Appl. Math. Lett., 2017

2016
Stability of patterns and of constant steady states for a cross-diffusion system.
J. Comput. Appl. Math., 2016

On some qualitatively adequate discrete space-time models of epidemic propagation.
J. Comput. Appl. Math., 2016

Convergence of Alternant Theta-Method with Applications.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

2015
Numerical stability for nonlinear evolution equations.
Comput. Math. Appl., 2015

2014
Application of Richardson extrapolation for multi-dimensional advection equations.
Comput. Math. Appl., 2014

Stability concepts and their applications.
Comput. Math. Appl., 2014

Efficient algorithms for large scale scientific computations: Introduction.
Comput. Math. Appl., 2014

Operator Semigroups for Convergence Analysis.
Proceedings of the Finite Difference Methods, Theory and Applications, 2014

2013
The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation.
Comput. Math. Appl., 2013

Efficient numerical methods for scientific applications: Introduction.
Comput. Math. Appl., 2013

On continuous and discrete maximum principles for elliptic problems with the third boundary condition.
Appl. Math. Comput., 2013

A stability approach for reaction-diffusion problems.
Proceedings of the IEEE 8th International Symposium on Applied Computational Intelligence and Informatics, 2013

2012
Note on the Convergence of the Implicit Euler Method.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

2010
Discrete maximum principle for finite element parabolic models in higher dimensions.
Math. Comput. Simul., 2010

Stability of the Richardson Extrapolation applied together with the θ-method.
J. Comput. Appl. Math., 2010

Special Issue on Advanced Computational Algorithms: Introduction.
J. Comput. Appl. Math., 2010

Efficient implementation of stable Richardson Extrapolation algorithms.
Comput. Math. Appl., 2010

Simulation of the transient behavior of fuel cells by using operator splitting techniques for real-time applications.
Comput. Chem. Eng., 2010

Richardson Extrapolated Numerical Methods for Treatment of One-Dimensional Advection Equations.
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

2009
On Some Stability Properties of the Richardson Extrapolation Applied Together with the <i>theta</i>-Method.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

Matrix and Discrete Maximum Principles.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
Error analysis of the numerical solution of split differential equations.
Math. Comput. Model., 2008

Special issue on advanced numerical algorithms for large-scale computations: Introduction.
Comput. Math. Appl., 2008

Additive and iterative operator splitting methods and their numerical investigation.
Comput. Math. Appl., 2008

Relationship between vanishing splitting errors and pairwise commutativity.
Appl. Math. Lett., 2008

Qualitative Analysis of the Crank-Nicolson Method for the Heat Conduction Equation.
Proceedings of the Numerical Analysis and Its Applications, 4th International Conference, 2008

2007
Computational complexity of weighted splitting schemes on parallel computers.
Int. J. Parallel Emergent Distributed Syst., 2007

Iterative operator-splitting methods for linear problems.
Int. J. Comput. Sci. Eng., 2007

On the Richardson Extrapolation as Applied to the Sequential Splitting Method.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

Parallelization of Advection-Diffusion-Chemistry Modules.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

2006
Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems.
SIAM J. Sci. Comput., 2006

New Operator Splitting Methods and Their Analysis.
Proceedings of the Numerical Methods and Applications, 6th International Conference, 2006

2005
Operator Splittings and Numerical Methods.
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

2004
Operator splitting and commutativity analysis in the Danish Eulerian Model.
Math. Comput. Simul., 2004

Splitting Methods and Their Application to the Abstract Cauchy Problems.
Proceedings of the Numerical Analysis and Its Applications, Third International Conference, 2004

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

Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model.
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 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

The Mathemathical Background of Operator Splitting and the Effect of Non-commutativity.
Proceedings of the Large-Scale Scientific Computing, Third International Conference, 2001

2000
Proper Weak Regular Splitting for M-Matrices.
Proceedings of the Numerical Analysis and Its Applications, 2000


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