Dr. Róbert Horváth
Associate professor
Budapest University of
Technology and Economics,
Faculty of Science,
Institute of Mathematics,
Department of Analysis
Egri József utca 1., H24/b, 1111-H
Budapest, Hungary
e-mail:
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Education, degrees, places of work
| 2008- |
Associate professor, Budapest University of Technology and Economics, Faculty of Science, Institute of Mathematics, Department of Analysis |
| 2002-2008 |
Associate Professor, University of West Hungary, Institute of Mathematics and Statistics |
| 2001 |
PhD, Eötvös Loránd University |
| 1994-1997 |
PhD student at Eötvös Loránd University |
| 1993-2002 |
Assistant Lecturer, University of West Hungary, Institute of Mathematics and Statistics |
| 1994 |
Degree in Mathematics and Physics, Eötvös Loránd University |
Fields of research
Numerical solutions of partial differential equations, operator splitting, analysis of qualitative properties of the numerical solutions of time-dependent problems, preconditioning, modelling of air pollution, parameter fitting
Major publications
| 2009 |
Faragó, I., & Horváth, R. (2009). Continuous and Discrete Parabolic Operators and their Qualitative Properties. IMA J. Numer. Anal., 29, 606-631. |
| 2009 |
Botchev, M, Faragó, I., & Horváth, R. (2009). Application of the Operator Splitting to the Maxwell Equations with the Source Term. Appl. Numer. Math., 59, 522-541. |
| 2007 |
Horváth, R. (2007). On the Sign-Stability of the Finite Di erence Solutions of One-Dimensional Parabolic Problems. Lect. Notes Comp. Sci., 4310, 458-465. |
| 2007 |
Horváth, R. (2007). New Unconditionally Stable Numerical Schemes for Maxwell's Equations. Comput. Sci. Eng., 3(4), 271-276. |
| 2006 |
Horváth, R. (2006). Operator Splittings for the Numerical Solution of Maxwell's Equations. Lect. Notes Comp. Sci., 3743, 363-371. |
| 2006 |
Faragó, I., & Horváth, R. (2006). A Review of Reliable Numerical Methods for Three-Dimensional Parabolic Problems. Int. J. Numer. Meth. Eng., 70, 25-45. |
| 2006 |
Faragó, I., & Horváth, R. (2006). On the Connections Between the Qualitative Properties of the Numerical Solutions of Linear Parabolic Problems. SIAM J. Sci. Comput., 28, 2316-2336. |
| 2002 |
Horváth, R. (2002). On the Monotonicity Conservation in Numerical Solutions of the Heat Equation. Appl. Numer. Math., 42, 189-199. |
| 2001 |
Faragó, I., & Horváth, R. (2001). On the Nonnegativity Conservation of Finite Element Solutions of Parabolic Problems. In: P. Neittaanmaki, & M. Krizek (Eds.), GAKUTO Internat. Series Math. Sci. Appl.: Vol. 15. Proc. Conf. Finite Element Methods: Three-Dimensional Problems (pp. 76-84). Tokyo: Gakkotosho. |
| 1999 |
Horváth, R. (1999). Maximum Norm Contractivity in the Numerical Solution of the One-Dimensional Heat Equation. Appl. Numer. Math., 31, 451-462. |
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