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Horváth, Robert A.

Author ID: horvath.robert-a Recent zbMATH articles by "Horváth, Robert A."
Published as: Horváth, Róbert; Horváth, R.; Horváth, Robert; Horváth, Robert A.; Horvath, R.
Documents Indexed: 43 Publications since 1991
Co-Authors: 19 Co-Authors with 29 Joint Publications
426 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 181 times in 105 Documents Cited by Year
Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086
Faragó, István; Horváth, Róbert
39
2006
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
22
2005
Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346
Botchev, M. A.; Faragó, I.; Horváth, R.
14
2009
Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133
Faragó, István; Horváth, Róbert; Korotov, Sergey
10
2011
A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119
Faragó, I.; Horváth, R.
10
2007
Maximum norm contractivity in the numerical solution of the one-dimensional heat equation. Zbl 0943.65094
Horváth, Róbert
9
1999
Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087
Faragó, István; Horváth, Róbert
9
2009
On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102
Faragó, István; Horváth, Róbert
7
2001
Investigation of numerical time-integrations of Maxwell’s equations using the staggered grid spatial discretization. Zbl 1108.78016
Faragó, I.; Horváth, R.; Schilders, W. H. A.
7
2005
On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203
Faragó, István; Horváth, Róbert
6
2016
On the sign-stability of numerical solutions of one-dimensional parabolic problems. Zbl 1180.35028
Horváth, Róbert
5
2008
Qualitative properties of monotone linear parabolic operators. Zbl 1207.35081
Faragó, I.; Horváth, R.
4
2008
Space dependent models for studying the spread of some diseases. Zbl 1448.92345
Takács, Bálint; Horváth, Róbert; Faragó, István
4
2020
Qualitative properties of some discrete models of disease propagation. Zbl 1391.37060
Faragó, István; Horváth, Róbert
4
2018
On the sign-stability of the numerical solutions of the heat equation. Zbl 0980.65029
Horváth, Róbert
3
2000
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
3
2004
Uniform treatment of numerical time-integrations of the Maxwell equations. Zbl 1108.78020
Horváth, Róbert
3
2004
Stability of patterns and of constant steady states for a cross-diffusion system. Zbl 1323.35067
Sebestyén, G. Svantnerné; Faragó, István; Horváth, Róbert; Kersner, R.; Klincsik, M.
3
2016
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
3
2017
Sufficient conditions of the discrete maximum-minimum principle for parabolic problems on rectangular meshes. Zbl 1142.65414
Horváth, Róbert
3
2008
On the positivity of iterative methods. Zbl 0981.65037
Horváth, R.
2
2000
On the order of operator splitting methods for time-dependent linear systems of differential equations. Zbl 1243.65077
Farago, I.; Havasi, A.; Horvath, R.
2
2011
The effect of tree-diffusion in a mathematical model of Easter Island’s population. Zbl 1399.92034
Takács, Bálint; Horváth, Róbert; Faragó, István
2
2016
On the sign-stability of the finite difference solutions of one-dimensional parabolic problems. Zbl 1137.65403
Horváth, Róbert
1
2007
Operator splittings for the numerical solution of the Maxwell’s equations. Zbl 1142.65425
Horváth, Róbert
1
2006
On the sign-stability of finite difference solutions of semilinear parabolic problems. Zbl 1233.65057
Horváth, Róbert
1
2009
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. Zbl 1243.78049
Faragó, István; Havasi, Ágnes; Horváth, Robert
1
2012
Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033
Faragó, István; Horváth, Róbert
1
2016
Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030
Faragó, István; Horváth, Róbert
1
2016
On the monotonicity conservation in numerical solutions of the heat equation. Zbl 1003.65104
Horváth, Róbert
1
2002
On nonlinear Schrödinger equations on the hyperbolic space. Zbl 1448.35125
Cencelj, Matija; Faragó, István; Horváth, Róbert; Repovš, Dušan D.
1
2020
Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
1
2018
Space dependent models for studying the spread of some diseases. Zbl 1448.92345
Takács, Bálint; Horváth, Róbert; Faragó, István
4
2020
On nonlinear Schrödinger equations on the hyperbolic space. Zbl 1448.35125
Cencelj, Matija; Faragó, István; Horváth, Róbert; Repovš, Dušan D.
1
2020
Qualitative properties of some discrete models of disease propagation. Zbl 1391.37060
Faragó, István; Horváth, Róbert
4
2018
Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
1
2018
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
3
2017
On some qualitatively adequate discrete space-time models of epidemic propagation. Zbl 1323.92203
Faragó, István; Horváth, Róbert
6
2016
Stability of patterns and of constant steady states for a cross-diffusion system. Zbl 1323.35067
Sebestyén, G. Svantnerné; Faragó, István; Horváth, Róbert; Kersner, R.; Klincsik, M.
3
2016
The effect of tree-diffusion in a mathematical model of Easter Island’s population. Zbl 1399.92034
Takács, Bálint; Horváth, Róbert; Faragó, István
2
2016
Qualitatively adequate numerical modelling of spatial SIRS-type disease propagation. Zbl 1399.39033
Faragó, István; Horváth, Róbert
1
2016
Qualitative properties of the finite difference solution of a space-time epidemic propagation model. Zbl 1389.35030
Faragó, István; Horváth, Róbert
1
2016
Numerical solution of the Maxwell equations in time-varying media using Magnus expansion. Zbl 1243.78049
Faragó, István; Havasi, Ágnes; Horváth, Robert
1
2012
Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133
Faragó, István; Horváth, Róbert; Korotov, Sergey
10
2011
On the order of operator splitting methods for time-dependent linear systems of differential equations. Zbl 1243.65077
Farago, I.; Havasi, A.; Horvath, R.
2
2011
Application of operator splitting to the Maxwell equations including a source term. Zbl 1159.78346
Botchev, M. A.; Faragó, I.; Horváth, R.
14
2009
Continuous and discrete parabolic operators and their qualitative properties. Zbl 1176.65087
Faragó, István; Horváth, Róbert
9
2009
On the sign-stability of finite difference solutions of semilinear parabolic problems. Zbl 1233.65057
Horváth, Róbert
1
2009
On the sign-stability of numerical solutions of one-dimensional parabolic problems. Zbl 1180.35028
Horváth, Róbert
5
2008
Qualitative properties of monotone linear parabolic operators. Zbl 1207.35081
Faragó, I.; Horváth, R.
4
2008
Sufficient conditions of the discrete maximum-minimum principle for parabolic problems on rectangular meshes. Zbl 1142.65414
Horváth, Róbert
3
2008
A review of reliable numerical models for three-dimensional linear parabolic problems. Zbl 1194.80119
Faragó, I.; Horváth, R.
10
2007
On the sign-stability of the finite difference solutions of one-dimensional parabolic problems. Zbl 1137.65403
Horváth, Róbert
1
2007
Discrete maximum principle and adequate discretizations of linear parabolic problems. Zbl 1130.65086
Faragó, István; Horváth, Róbert
39
2006
Operator splittings for the numerical solution of the Maxwell’s equations. Zbl 1142.65425
Horváth, Róbert
1
2006
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
22
2005
Investigation of numerical time-integrations of Maxwell’s equations using the staggered grid spatial discretization. Zbl 1108.78016
Faragó, I.; Horváth, R.; Schilders, W. H. A.
7
2005
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
3
2004
Uniform treatment of numerical time-integrations of the Maxwell equations. Zbl 1108.78020
Horváth, Róbert
3
2004
On the monotonicity conservation in numerical solutions of the heat equation. Zbl 1003.65104
Horváth, Róbert
1
2002
On the nonnegativity conservation of finite element solutions of parabolic problems. Zbl 0994.65102
Faragó, István; Horváth, Róbert
7
2001
On the sign-stability of the numerical solutions of the heat equation. Zbl 0980.65029
Horváth, Róbert
3
2000
On the positivity of iterative methods. Zbl 0981.65037
Horváth, R.
2
2000
Maximum norm contractivity in the numerical solution of the one-dimensional heat equation. Zbl 0943.65094
Horváth, Róbert
9
1999
all top 5

Cited by 150 Authors

18 Faragó, István
17 Horváth, Robert A.
10 Vulkov, Lubin G.
9 Korotov, Sergey
8 Koleva, Miglena Nikolaeva
5 Bochev, M. A.
5 Kuzmin, Dmitri
5 Matus, Pëtr Paŭlavich
5 Takács, Bálint M.
4 Hieu, Le Minh
4 Karátson, János
4 Vejchodský, Tomáš
3 Huang, Weizhang
3 Mincsovics, Miklós Emil
2 Bátkai, András
2 Chernogorova, Tatiana P.
2 Csomós, Petra
2 Hannukainen, Antti
2 Hochbruck, Marlis
2 Kong, Linghua
2 Li, Xianping
2 Liang, Dong
2 Poliakov, Dmitriy
2 Qiu, Jingmei
2 Ruiz-Ramírez, Javier
2 Szabó, Tamás T.
2 Xiong, Tao
2 Xu, Zhengfu
1 Ampimah, Benjamin Chris
1 Appolloni, Luigi
1 Barrenechea, Gabriel R.
1 Basting, Steffen
1 Borovykh, Natalia Alexandrovna
1 Calabró, Francesco
1 Carpio, Ana
1 Cavalli, Fausto
1 Cebrián, Elena
1 Chen, Meng
1 Csóka, József
1 Cuomo, Salvatore
1 di Serafino, Daniela
1 Ding, Deqiong
1 Ding, Xiaohua
1 Du, Qiang
1 Elshebli, Maryem A. T.
1 Ervin, Vincent J.
1 Farkas, Zénó
1 Fu, Shengmao
1 Gaspar, Francisco José
1 Gee, Bruce
1 Georgiev, Krassimir
1 Gracie, Robert
1 Gyulov, Tihomir B.
1 Hadjimichael, Yiannis
1 Han, Dun
1 Han, Renji
1 Han, She
1 Hartmann, Stefan
1 Harutyunyan, Davit
1 Havasi, Ágnes
1 Hon, Yiu-Chung
1 Hong, Yuqi
1 Horváth, Tamás L.
1 Horváth, Zoltán
1 Huang, Zhongyi
1 Izzo, Giuseppe
1 Jahnke, Tobias
1 Jiang, Rongrong
1 Jiang, Tao
1 John, Volker
1 Ju, Lili
1 Kersner, Robert
1 Klincsik, Mihaly
1 Knobloch, Petr
1 Köhler, Jonas
1 Kolev, Mikhail K.
1 Koss, Lorelei
1 Kriston, Ákos
1 Křížek, Michal
1 Lee, Wonjun
1 Li, Wuchen
1 Li, Xiao
1 Li, Ye
1 Li, Zhuoning
1 Liao, HongLin
1 Liu, Hailiang
1 Liu, Siting
1 Lötstedt, Per
1 Lu, Changna
1 Lyu, Pin
1 Ma, Heping
1 Macías-Díaz, Jorge Eduardo
1 Mandal, Parna
1 Meinecke, Lina
1 Messina, Eleonora
1 Miao, Baojun
1 Molica Bisci, Giovanni
1 Mungkasi, Sudi
1 Nickel, Gregor
1 Osher, Stanley Joel
...and 50 more Authors
all top 5

Cited in 36 Serials

17 Journal of Computational and Applied Mathematics
10 Journal of Computational Physics
7 Applied Numerical Mathematics
5 Applied Mathematics and Computation
5 Applied Mathematical Modelling
4 Computers & Mathematics with Applications
4 Journal of Mathematical Analysis and Applications
4 Numerische Mathematik
4 Central European Journal of Mathematics
3 Mathematics and Computers in Simulation
3 Numerical Methods for Partial Differential Equations
3 International Journal of Computer Mathematics
3 SIAM Review
3 Computational Methods in Applied Mathematics
2 Computer Methods in Applied Mechanics and Engineering
2 SIAM Journal on Scientific Computing
2 European Journal of Mathematics
1 Physica A
1 Chaos, Solitons and Fractals
1 BIT
1 International Journal for Numerical Methods in Engineering
1 Acta Applicandae Mathematicae
1 Computational Mechanics
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Computational and Applied Mathematics
1 Engineering Analysis with Boundary Elements
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Differential Equations
1 Journal of Evolution Equations
1 Advances in Difference Equations
1 International Journal of Numerical Analysis and Modeling
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM

Citations by Year