## Segeth, Karel

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 Author ID: segeth.karel Published as: Segeth, Karel; Segeth, K. Homepage: http://www.math.cas.cz/homepage/main_page.php?id_membre=61 External Links: MGP · ORCID · Wikidata · dblp
 Documents Indexed: 59 Publications since 1968, including 1 Book 9 Contributions as Editor Reviewing Activity: 26 Reviews Biographic References: 3 Publications Co-Authors: 26 Co-Authors with 26 Joint Publications 362 Co-Co-Authors
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### Co-Authors

 42 single-authored 9 Šolín, Pavel 8 Chleboun, Jan 8 Šístek, Jakub 8 Vejchodský, Tomáš 6 Přikryl, Petr 3 Kus, Pavel 2 Brandts, Jan H. 2 Doležel, Ivo 2 Korotov, Sergey 2 Rozlozník, Miroslav 1 Bezvoda, Václav 1 Cerv, Vaclav 1 Farzan, Ruszlán H. 1 Jelínek, Jiří 1 Ježek, Josef 1 Krejčí, Pavel 1 Křížek, Michal 1 Kronrád, O. 1 Kronrádová, K. 1 Overton, T. R. 1 Pospíšek, Miroslav 1 Saic, Stanislav 1 Šilhán, P. 1 Takó, Galina 1 Vlček, Vítězslav Vít 1 Zítka, Martin
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### Serials

 10 Applications of Mathematics 6 Aplikace Matematiky 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Czechoslovak Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Mathematics and Computers in Simulation 2 Applied Mathematics and Computation 2 Pokroky Matematiky, Fyziky & Astronomie 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Numerische Mathematik 1 Mathematica Bohemica 1 Journal of Numerical Mathematics
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### Fields

 49 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 12 Approximations and expansions (41-XX) 10 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 72 times in 61 Documents Cited by Year
Higher-order finite element methods. With CD-ROM. Zbl 1032.65132
Šolín, Pavel; Segeth, Karel; Doležel, Ivo
2004
A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension. Zbl 0936.65113
Segeth, K.
1999
A review of some a posteriori error estimates for adaptive finite element methods. Zbl 1196.65173
Segeth, Karel
2010
A posteriori error estimates for parabolic differential systems solved by the finite element method of lines. Zbl 0822.65068
Segeth, Karel
1994
On universally optimal quadrature formulae involving values of derivatives of integrand. Zbl 0188.13203
Segeth, K.
1969
A comparison of a posteriori error estimates for biharmonic problems solved by the FEM. Zbl 1250.65133
Segeth, Karel
2012
Professor Ivo Babuška is seventy. Zbl 0870.01013
Segeth, K.
1996
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
2012
Universal approximation by hill functions. Zbl 0247.41011
Segeth, Karel
1972
A periodic basis system of the smooth approximation space. Zbl 1410.65024
Segeth, Karel
2015
A comparison of the accuracy of the finite-difference solution to boundary-value problems for the Helmholtz equation obtained by direct and iterative methods. Zbl 0511.65074
Cerv, Vaclav; Segeth, Karel
1982
Numerical experiments with the Stone incomplete triangular decomposition. Zbl 0548.65015
Segeth, Karel
1984
Grid adjustment for parabolic systems based on a posteriori error estimates. Zbl 0939.65107
Segeth, Karel
1995
A note on tension spline. Zbl 1363.65021
Segeth, Karel
2015
On quadrature formulae involving values of derivatives. Zbl 0184.38102
Segeth, K.
1968
Grid adjustment based on a posteriori error estimators. Zbl 0797.65068
Segeth, Karel
1993
Professor Ivo Babuška is eighty. Zbl 1237.01013
Segeth, Karel
2006
Roundoff errors in the fast computation of discrete convolutions. Zbl 0474.65025
Segeth, Karel
1981
A remark on a class of universal hill functions. Zbl 0314.41008
Segeth, K.
1975
Hierarchic higher-order Hermite elements on hybrid triangular/quadrilateral meshes. Zbl 1135.65393
Šolín, Pavel; Segeth, Karel
2007
A new sequence of hierarchic prismatic elements satisfying de Rham diagram on hybrid meshes. Zbl 1089.78022
Ŝolín, P.; Segeth, K.
2005
Applied mathematics during the 50 years history of the Mathematical Institute of the Academy of Sciences. Zbl 1099.01023
Segeth, Karel; Krejčí, Pavel
2003
Non-uniqueness of almost unidirectional inviscid compressible flow. Zbl 1099.76053
Šolín, Pavel; Segeth, Karel
2004
Some splines produced by smooth interpolation. Zbl 1426.65018
Segeth, Karel
2018
Smooth approximation of data with applications to interpolating and smoothing. Zbl 1340.65015
Segeth, Karel
2013
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
2015
Space-time adaptive $$hp$$-FEM: Methodology overview. Zbl 1410.65379
Šolín, Pavel; Segeth, Karel; Doležel, Ivo
2008
Polyharmonic splines generated by multivariate smooth interpolation. Zbl 1443.65015
Segeth, Karel
2019
Polyharmonic splines generated by multivariate smooth interpolation. Zbl 1443.65015
Segeth, Karel
2019
Some splines produced by smooth interpolation. Zbl 1426.65018
Segeth, Karel
2018
A periodic basis system of the smooth approximation space. Zbl 1410.65024
Segeth, Karel
2015
A note on tension spline. Zbl 1363.65021
Segeth, Karel
2015
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
2015
Smooth approximation of data with applications to interpolating and smoothing. Zbl 1340.65015
Segeth, Karel
2013
A comparison of a posteriori error estimates for biharmonic problems solved by the FEM. Zbl 1250.65133
Segeth, Karel
2012
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
2012
A review of some a posteriori error estimates for adaptive finite element methods. Zbl 1196.65173
Segeth, Karel
2010
Space-time adaptive $$hp$$-FEM: Methodology overview. Zbl 1410.65379
Šolín, Pavel; Segeth, Karel; Doležel, Ivo
2008
Hierarchic higher-order Hermite elements on hybrid triangular/quadrilateral meshes. Zbl 1135.65393
Šolín, Pavel; Segeth, Karel
2007
Professor Ivo Babuška is eighty. Zbl 1237.01013
Segeth, Karel
2006
A new sequence of hierarchic prismatic elements satisfying de Rham diagram on hybrid meshes. Zbl 1089.78022
Ŝolín, P.; Segeth, K.
2005
Higher-order finite element methods. With CD-ROM. Zbl 1032.65132
Šolín, Pavel; Segeth, Karel; Doležel, Ivo
2004
Non-uniqueness of almost unidirectional inviscid compressible flow. Zbl 1099.76053
Šolín, Pavel; Segeth, Karel
2004
Applied mathematics during the 50 years history of the Mathematical Institute of the Academy of Sciences. Zbl 1099.01023
Segeth, Karel; Krejčí, Pavel
2003
A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension. Zbl 0936.65113
Segeth, K.
1999
Professor Ivo Babuška is seventy. Zbl 0870.01013
Segeth, K.
1996
Grid adjustment for parabolic systems based on a posteriori error estimates. Zbl 0939.65107
Segeth, Karel
1995
A posteriori error estimates for parabolic differential systems solved by the finite element method of lines. Zbl 0822.65068
Segeth, Karel
1994
Grid adjustment based on a posteriori error estimators. Zbl 0797.65068
Segeth, Karel
1993
Numerical experiments with the Stone incomplete triangular decomposition. Zbl 0548.65015
Segeth, Karel
1984
A comparison of the accuracy of the finite-difference solution to boundary-value problems for the Helmholtz equation obtained by direct and iterative methods. Zbl 0511.65074
Cerv, Vaclav; Segeth, Karel
1982
Roundoff errors in the fast computation of discrete convolutions. Zbl 0474.65025
Segeth, Karel
1981
A remark on a class of universal hill functions. Zbl 0314.41008
Segeth, K.
1975
Universal approximation by hill functions. Zbl 0247.41011
Segeth, Karel
1972
On universally optimal quadrature formulae involving values of derivatives of integrand. Zbl 0188.13203
Segeth, K.
1969
On quadrature formulae involving values of derivatives. Zbl 0184.38102
Segeth, K.
1968
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### Cited by 97 Authors

 13 Segeth, Karel 3 Moore, Peter K. 2 Babuška, Ivo 2 Baccouch, Mahboub 2 Engström, Christian 2 Křížek, Michal 2 Nie, Yufeng 2 Schillinger, Dominik 2 Vejchodský, Tomáš 2 Xiong, Chunguang 2 Zhang, Weiwei 1 Alekseev, Aleksey K. 1 Aljouiee, Abdullah Mohammed 1 Antoine, Xavier 1 Araújo C., Juan C. 1 Araujo-Cabarcas, Juan Carlos 1 Arioli, Mario 1 Arndt, Marcos 1 Aulisa, Eugenio 1 Becker, Roland 1 Bériot, Hadrien 1 Bermejo, Rodolfo 1 Bezvoda, Václav 1 Bhowmik, Samir Kumar 1 Blum, Heribert 1 Bog, Tino 1 Bondarev, A. E. 1 Brandts, Jan H. 1 Chamakuri, Nagaiah 1 Cittadin, Carolina Castro 1 Debyaoui, Mohamed Ali 1 Duong, Thanh-Binh 1 El Bouajaji, Mohamed 1 Ersoy, Mehmet 1 Farzan, Ruszlán H. 1 Feng, Xiaobing 1 Fernandino, Maria 1 Fick, Peter W. 1 Galán del Sastre, Pedro 1 Gerritsma, Marc I. 1 Geuzaine, Christophe A. 1 Gil, Antonio J. 1 Gu, Yuantong 1 Hackemack, Michael W. 1 Houston, Paul 1 Huang, Xuehai 1 Izsák, Ferenc 1 Jarlebring, Elias 1 Ke, Guoyi 1 Kleemann, Heiko 1 Kollmannsberger, Stefan 1 Lanteri, Stéphane 1 Lebon, Frédéric 1 Lee, Shih-Yu 1 Liesen, Jörg 1 Liu, Pan 1 Luo, Fusheng 1 Ma, Xiuling 1 Macedo Corrêa, Ramon 1 Machado, Roberto Dalledone 1 Mackerle, Jaroslav 1 Marchner, Philippe 1 Międlar, Agnieszka 1 Nadupuri, Suresh Kumar 1 Neittaanmäki, Pekka J. 1 Ohnimus, Stephan 1 Park, Keunsoo 1 Poya, Roman 1 Práger, Milan 1 Rademacher, Andreas 1 Ramière, Isabelle 1 Rank, Ernst 1 Ruess, Martin 1 Sármány, Domokos 1 Schroder, Andreas 1 Segethova, Jitka 1 Sevilla, Ruben 1 Shang Hsu, Yang 1 Strakoš, Zdeněk 1 Sun, Pengtao 1 Takó, Galina 1 Toselli, Andrea 1 Van Brummelen, Harald 1 van der Vegt, Jaap J. W. 1 van der Zee, Kristoffer George 1 Varma, V. Dhanya 1 Vasseur, Xavier 1 Weise, Michael 1 Wihler, Thomas Pascal 1 Wu, Haijun 1 Xie, Hehu 1 Xie, ManTing 1 Yin, Xiaobo 1 Yuan, Hairong 1 Yue, Meiling 1 Zander, Nils 1 Zhou, Yuqing
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### Cited in 28 Serials

 7 Aplikace Matematiky 5 Applied Mathematics and Computation 5 Applied Numerical Mathematics 5 Applications of Mathematics 4 Journal of Computational and Applied Mathematics 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Computational Mechanics 3 Journal of Scientific Computing 2 Journal of Computational Physics 2 Mathematics of Computation 2 Mathematics and Computers in Simulation 1 Acta Mechanica 1 Czechoslovak Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Differential Equations and Dynamical Systems 1 European Journal of Mechanics. A. Solids 1 Engineering Computations 1 Archives of Computational Methods in Engineering 1 Journal of Numerical Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 East Asian Journal on Applied Mathematics
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### Cited in 16 Fields

 47 Numerical analysis (65-XX) 24 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 8 Optics, electromagnetic theory (78-XX) 5 Approximations and expansions (41-XX) 4 History and biography (01-XX) 4 Fluid mechanics (76-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

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