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personal data approved: 2017. III. 20.
Personal data
János Karátson
name János Karátson
year of birth 1966
name of institution
doctoral school
BME Doctoral School of Mathematics and Computer Science (Supervisor)
ELTE Doctoral School of Mathematics (Core member)
Council of the Doctoral School
accreditation statement submitted to: Eötvös Loránd University, Budapest
HAC accreditation
full compliance
(2014. XII. 12.)
Contact details
E-mail address karatsoncs.elte.hu
phone number +36 1 209-0555/8441
own web page
Academic title
scientific degree, title Ph.D.
year degree was obtained 1997
discipline to which degree belongs mathematics and computing
institution granting the degree Eötvös Loránd Tudományegyetem (to be translated)
scientific degree, title DSc
year degree was obtained 2012
discipline to which degree belongs mathematics and computing
institution granting the degree HAS
Employment
1990 - Eötvös Loránd Tudományegyetem (research institute, not university)
1990 - Eötvös Loránd University, Budapest
university professor or researcher
Thesis topic supervisor
number of doctoral students supervised until now 3
number of students who fulfilled course requirements 2
students who obtained their degrees:
Balázs Kovács PhD 2016  DSM
István Antal PhD 2013  DSM
Tamás Kurics PhD 2011  DSM

present PhD students:
(50%) Benjámin Richárd Borsos (PhD) (2021/08)  DSMCS-BME
  Thesis topic proposals
Research
research area functional analysis, numerical methods, partial differential equations
research field in which current research is conducted mathematics and computing
Publications
2017

Faragó István, Horváth Róbert, Karátson János, Korotov Sergey: Qualitative properties of nonlinear parabolic operators, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 448: (1) pp. 473-497.
type of document: Journal paper/Article
language: English
URL 
2016

Karátson János, Kovács Balázs: A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems, In: Szerk.: Bátkai András, Szerk.: Csomós Petra, Szerk.: Faragó István, Szerk.: Horányi András, Szerk.: Szépszó Gabriella Mathematical Problems in Meteorological Modelling. Cham (Svájc): Springer International Publishing, 2016. pp. 57-70. (Mathematics in Industry; 24.)
type of document: Part of book/Könyvfejezet (to be translated)
language: English
URL 
2015

Axelsson O, Blaheta R, Byczanski P, Karátson J, Ahmad B: Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 280: pp. 141-157.
type of document: Journal paper/Article
number of independent citations: 1
language: English
URL 
2014

Owe Axelsson, Karátson János, Kovács Balázs: Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré-Friedrichs Inequality, SIAM JOURNAL ON NUMERICAL ANALYSIS 52: (6) pp. 2957-2976.
type of document: Journal paper/Article
language: English
URL 
2013

Karátson János, Kovács Balázs: Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation, COMPUTERS AND MATHEMATICS WITH APPLICATIONS 65: (3) pp. 449-459.
type of document: Journal paper/Article
language: English
URL 
2012

Farago I, Karatson J, Korotov S: Discrete maximum principles for nonlinear parabolic PDE systems, IMA JOURNAL OF NUMERICAL ANALYSIS 32: (4) pp. 1541-1573.
type of document: Journal paper/Article
number of independent citations: 10
language: English
DOI 
2005

Karátson János, Faragó István: Preconditioning operators and Sobolev gradients for nonlinear elliptic problems, COMPUTERS AND MATHEMATICS WITH APPLICATIONS 50: (7) pp. 1077-1092.
type of document: Journal paper/Konferenciaközlemény
number of independent citations: 16
language: English
DOI 
2005

Karátson János, Korotov Sergey: Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions, NUMERISCHE MATHEMATIK 99: (4) pp. 669-698.
type of document: Journal paper/Article
number of independent citations: 52
language: English
URL 
2003

Karátson János, Faragó István: Variable preconditioning via quasi-Newton methods for nonlinear problems in Hilbert space, SIAM JOURNAL ON NUMERICAL ANALYSIS 41: (4) pp. 1242-1262.
type of document: Journal paper/Article
number of independent citations: 8
language: English
DOI 
2002

Faragó István, Karátson János : Numerical solution of nonlinear elliptic problems via preconditioning operators, New York: Nova Science Publishers, 402 p. (Advances in Computation; 11.)
type of document: Book/Monography
number of independent citations: 33
language: English
Number of independent citations to these publications:120 
Scientometric data
list of publications and citations
number of scientific publications that meet accreditation criteria:
77
number of scientific publications:
85
monographs and professional books:
1
monographs/books in which chapters/sections were contributed:
4 
scientific publications published abroad that meet the accreditation criteria:
68
publications not in Hungarian, published in Hungary, meeting the accreditation criteria:
8
number of independent citations to scientific publications and creative works:
294
further relevant information regarding accreditation (in Hungarian)
PhD hallgatóim megjelent referált cikkeinek száma: 11 (to be translated)

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )