Edit Profile (opens in new tab) Horváth, Robert A. Co-Author Distance Author ID: horvath.robert-a Published as: Horváth, Róbert; Horváth, R.; Horváth, Robert; Horváth, Robert A.; Horvath, R. more...less Documents Indexed: 43 Publications since 1991 Co-Authors: 19 Co-Authors with 29 Joint Publications 426 Co-Co-Authors all top 5 Co-Authors 13 single-authored 27 Faragó, István 5 Korotov, Sergey 4 Takács, Bálint M. 3 Havasi, Ágnes 3 Karátson, János 2 Repovš, Dušan D. 2 Schilders, Willy H. A. 1 Adamis, Gusztáv 1 Bátkai, András 1 Bochev, M. A. 1 Cencelj, Matija 1 Csóka, József 1 Dregelyi, A. 1 Kersner, Robert 1 Klincsik, Mihaly 1 Kunszenti-Kovács, Dávid 1 Pap, Zoltán 1 Rétháti, Zoltán 1 Sebestyén, G. Svantnerné 1 Simon, Peter L. all top 5 Serials 4 Computers & Mathematics with Applications 4 Journal of Computational and Applied Mathematics 4 Applied Numerical Mathematics 3 Journal of Mathematical Analysis and Applications 3 Electronic Journal of Qualitative Theory of Differential Equations 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Acta Mechanica 1 IMA Journal of Numerical Analysis 1 Acta Cybernetica 1 International Journal for Numerical Methods in Engineering 1 International Statistical Review 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 PU.M.A. Pure Mathematics and Applications 1 International Journal of Numerical Modelling 1 Computational Methods in Applied Mathematics 1 Central European Journal of Mathematics 1 Operators and Matrices 1 International Journal of Numerical Analysis and Modeling. Series B 1 European Journal of Mathematics all top 5 Fields 32 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 6 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 21 Fields 93 Numerical analysis (65-XX) 60 Partial differential equations (35-XX) 16 Biology and other natural sciences (92-XX) 13 Optics, electromagnetic theory (78-XX) 11 Ordinary differential equations (34-XX) 7 Fluid mechanics (76-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Citations by Year