## Stoyan, Gisbert

Compute Distance To:
 Author ID: stoyan.gisbert Published as: Stoyan, G.; Stoyan, Gisbert
 Documents Indexed: 43 Publications since 1971, including 3 Books Reviewing Activity: 373 Reviews Co-Authors: 11 Co-Authors with 12 Joint Publications 141 Co-Co-Authors
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### Co-Authors

 31 single-authored 4 Baran, Ágnes 1 Baumert, Helmut 1 Dobrowolski, Manfred 1 Gergó, Lajos 1 Hofmann, Wolf Dietrich 1 Mihálykó, Csaba 1 Simon, László 1 Stoyan, Dietrich Kurt 1 Stoyan, Robert 1 Strauber, Györgyi 1 Ulbert, Z.
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### Serials

 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Computers & Mathematics with Applications 3 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Computing 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Biometrical Journal 1 BIT 1 Differential Equations 1 Mathematische Nachrichten 1 Wissenschaftliche Beiträge, Ingenieurhochschule Zwickau 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Applications of Mathematics 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Linear Algebra and its Applications 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Numerical Linear Algebra with Applications 1 East-West Journal of Numerical Mathematics 1 Abhandlungen der Akademie der Wissenschaften der DDR 1 Compact Textbooks in Mathematics
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### Fields

 34 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 118 times in 90 Documents Cited by Year
Towards discrete Velte decompositions and narrow bounds for inf-sup constants. Zbl 0954.65080
Stoyan, G.
1999
On maximum principles for monotone matrices. Zbl 0587.15014
Stoyan, Gisbert
1986
Gauss-Legendre elements: a stable, higher order non-conforming finite element family. Zbl 1115.65113
Baran, Á.; Stoyan, G.
2007
Crouzeix-Velte decompositions for higher-order finite elements. Zbl 1136.65110
Stoyan, G.; Baran, Á.
2006
On a maximum principle for matrices, and on conservation of monotonicity. With applications to discretization methods. Zbl 0501.65011
Stoyan, G.
1982
Iterative Stokes solvers in the harmonic Velte subspace. Zbl 0992.65129
Stoyan, G.
2001
Monotone difference schemes for diffusion-convection problems. Zbl 0484.65056
Stoyan, Gisbert
1979
On a mathematical model of a radiating, viscous, heat-conducting fluid: Remarks on a paper by J. Förste. Zbl 0879.76020
Gergó, L.; Stoyan, G.
1997
On monotone difference schemes for weakly coupled systems of partial differential equations. Zbl 0583.65071
Stoyan, Gisbert
1984
$$-\Delta= -\text{grad div}+ \text{rot rot}$$ for matrices, with application to the finite element solution of the Stokes problem. Zbl 0978.65106
Stoyan, G.
2000
Algebraic and discrete Velte decompositions. Zbl 0992.65117
Dobrowolski, M.; Stoyan, G.
2001
Towards a general-purpose difference scheme for the linear one- dimensional parabolic equation. Zbl 0469.65066
Stoyan, Gisbert
1981
Über eine monotone Differenzenapproximation einer partiellen Differentialgleichung. Zbl 0474.65070
Stoyan, Gisbert
1980
On the existence of a generalized solution to a three-dimensional elliptic equation with radiation boundary condition. Zbl 1059.35043
Simon, László; Stoyan, Gisbert
2001
On a numerical model for the pianoforte. Zbl 1289.74096
Stoyan, Gisbert
2013
Generalizations to discrete and analytical Crouzeix-Velte decompositions. Zbl 1164.65504
Stoyan, G.; Strauber, G.; Baran, Á.
2004
Higher order difference schemes for the first and third boundary value problem to $${1\over r}{d\over dr}(r{du\over dr})+f(r)=0$$. Zbl 0322.65049
Stoyan, Gisbert
1975
A monotonic mesh approximation for a partial differential equation with one space variable. Zbl 0508.65048
Stoyan, G.
1983
Explicit error estimates for difference schemes solving the stationary constant coefficient diffusion-convection-reaction equation. Zbl 0536.76099
Stoyan, G.
1984
Convergence and nonnegativity of numerical methods for an integrodifferential equation describing batch grinding. Zbl 0999.65151
Stoyan, G.; Mihálykó, C.; Ulbert, Z.
1998
On a numerical model for the pianoforte. Zbl 1289.74096
Stoyan, Gisbert
2013
Gauss-Legendre elements: a stable, higher order non-conforming finite element family. Zbl 1115.65113
Baran, Á.; Stoyan, G.
2007
Crouzeix-Velte decompositions for higher-order finite elements. Zbl 1136.65110
Stoyan, G.; Baran, Á.
2006
Generalizations to discrete and analytical Crouzeix-Velte decompositions. Zbl 1164.65504
Stoyan, G.; Strauber, G.; Baran, Á.
2004
Iterative Stokes solvers in the harmonic Velte subspace. Zbl 0992.65129
Stoyan, G.
2001
Algebraic and discrete Velte decompositions. Zbl 0992.65117
Dobrowolski, M.; Stoyan, G.
2001
On the existence of a generalized solution to a three-dimensional elliptic equation with radiation boundary condition. Zbl 1059.35043
Simon, László; Stoyan, Gisbert
2001
$$-\Delta= -\text{grad div}+ \text{rot rot}$$ for matrices, with application to the finite element solution of the Stokes problem. Zbl 0978.65106
Stoyan, G.
2000
Towards discrete Velte decompositions and narrow bounds for inf-sup constants. Zbl 0954.65080
Stoyan, G.
1999
Convergence and nonnegativity of numerical methods for an integrodifferential equation describing batch grinding. Zbl 0999.65151
Stoyan, G.; Mihálykó, C.; Ulbert, Z.
1998
On a mathematical model of a radiating, viscous, heat-conducting fluid: Remarks on a paper by J. Förste. Zbl 0879.76020
Gergó, L.; Stoyan, G.
1997
On maximum principles for monotone matrices. Zbl 0587.15014
Stoyan, Gisbert
1986
On monotone difference schemes for weakly coupled systems of partial differential equations. Zbl 0583.65071
Stoyan, Gisbert
1984
Explicit error estimates for difference schemes solving the stationary constant coefficient diffusion-convection-reaction equation. Zbl 0536.76099
Stoyan, G.
1984
A monotonic mesh approximation for a partial differential equation with one space variable. Zbl 0508.65048
Stoyan, G.
1983
On a maximum principle for matrices, and on conservation of monotonicity. With applications to discretization methods. Zbl 0501.65011
Stoyan, G.
1982
Towards a general-purpose difference scheme for the linear one- dimensional parabolic equation. Zbl 0469.65066
Stoyan, Gisbert
1981
Über eine monotone Differenzenapproximation einer partiellen Differentialgleichung. Zbl 0474.65070
Stoyan, Gisbert
1980
Monotone difference schemes for diffusion-convection problems. Zbl 0484.65056
Stoyan, Gisbert
1979
Higher order difference schemes for the first and third boundary value problem to $${1\over r}{d\over dr}(r{du\over dr})+f(r)=0$$. Zbl 0322.65049
Stoyan, Gisbert
1975
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### Cited by 127 Authors

 7 Repin, Sergeĭ Igorevich 5 Stoyan, Gisbert 4 Carstensen, Carsten 4 Huang, Weizhang 4 Kim, Kwang Yeon 4 Sauter, Stefan A. 3 Costabel, Martin 3 Dauge, Monique 3 Zanotti, Pietro 3 Zhang, Shangyou 2 Baran, Ágnes 2 Ciarlet, Patrick jun. 2 Ern, Alexandre 2 Gallistl, Dietmar 2 Hu, Jun 2 Korotov, Sergey 2 Křížek, Michal 2 Lee, Hyung-Chun 2 Li, Xianping 2 Lu, Changna 2 Manzini, Gianmarco 2 Mao, Shipeng 2 Merdon, Christian 2 Mohanty, Ranjan Kumar 2 Neittaanmäki, Pekka J. 2 Shashkov, Mikhail J. 2 Shi, Zhongci 2 Stratemans, F. A. J. 2 Svyatsky, Daniil 2 Vassilevski, Yuri V. 2 Veeser, Andreas 2 Vohralík, Martin 2 Weber, Martin R. 1 Ainsworth, Mark 1 Allendes, Alejandro 1 Amosov, Andreĭ Avenirovich 1 Aricò, Costanza 1 Axelsson, Axel Owe Holger 1 Ayuso de Dios, Blanca 1 Aziz, Tariq 1 Bernardi, Christine 1 Boffi, Daniele 1 Bothe, Dieter 1 Bringmann, Philipp 1 Caballero, William N. 1 Cai, Zhiqiang 1 Camacho-Tamayo, Jesús 1 Cangiani, Andrea 1 Capuzzo Dolcetta, Italo 1 Čermák, Martin 1 Chen, Jinru 1 Chen, Zhangxin 1 Cheng, Xiaoliang 1 Ciarlet, Philippe Gaston 1 Consiglieri, Luisa 1 Crouzeix, Michel 1 Dieter-Kissling, Kathrin 1 Dobrowolski, Manfred 1 Dorfler, Willy 1 Dunkl, Charles F. 1 Elman, Howard C. 1 Ernst, Emil O. 1 Faragó, István 1 Fuhrmann, Jürgen 1 Funaro, Daniele 1 Gao, Yanni 1 Giraldo, Ramón 1 Girault, Vivette 1 Gorshkova, Elena 1 Gupta, Vikas 1 Gyrya, Vitaliy T. 1 Hang, Xudeng 1 He, Cuiyu 1 Hecht, Frédéric 1 Horváth, Zoltán 1 Huang, Zhongyi 1 Ishihara, Kazuo 1 Kadalbajoo, Mohan K. 1 Kalauch, Anke 1 Katti, C. P. 1 Kay, David A. 1 Kreuzer, Christian 1 Kuzmin, Dmitri 1 Lafranche, Yvon 1 Langmach, Hartmut 1 Li, Mingxia 1 Linke, Alexander 1 Lipnikov, Konstantin N. 1 Liu, Xin 1 Luo, Zhongxuan 1 Ma, Rui 1 Marschall, Holger 1 Mattheij, Robert M. M. 1 Meng, Zhaoliang 1 Nikitin, Kirill D. 1 Oikawa, Issei 1 Otárola, Enrique 1 Park, Eun-Jae 1 Pauly, Dirk 1 Pühl, Heidrun ...and 27 more Authors
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### Cited in 38 Serials

 7 Journal of Computational Physics 7 Journal of Computational and Applied Mathematics 7 Applied Numerical Mathematics 6 Computers & Mathematics with Applications 5 SIAM Journal on Numerical Analysis 5 Numerical Methods for Partial Differential Equations 5 Linear Algebra and its Applications 4 Mathematics of Computation 4 Journal of Mathematical Sciences (New York) 4 Science China. Mathematics 3 Numerische Mathematik 3 Journal of Scientific Computing 3 Computational Methods in Applied Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematics and Computers in Simulation 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Computation 1 BIT 1 Computing 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 St. Petersburg Mathematical Journal 1 Advances in Computational Mathematics 1 Acta Mathematica Sinica. English Series 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 AStA. Advances in Statistical Analysis
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### Cited in 17 Fields

 72 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 28 Fluid mechanics (76-XX) 6 Ordinary differential equations (34-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)