Edit Profile (opens in new tab) Vejchodský, Tomáš Co-Author Distance Author ID: vejchodsky.tomas Published as: Vejchodský, Tomáš; Vejchodský, T.; Vejchodsky, T.; Vejchodský, Tomáv s; Vejchodsky, Tomás; Vejchodský, Tomás more...less Homepage: http://www.math.cas.cz/homepage/main_page.php?id_membre=63 External Links: MGP · Google Scholar · dblp Documents Indexed: 55 Publications since 2001 13 Contributions as Editor Reviewing Activity: 38 Reviews Co-Authors: 26 Co-Authors with 42 Joint Publications 803 Co-Co-Authors all top 5 Co-Authors 24 single-authored 11 Šolín, Pavel 9 Chleboun, Jan 9 Segeth, Karel 8 Šístek, Jakub 7 Korotov, Sergey 5 Erban, Radek 5 Křížek, Michal 5 Přikryl, Petr 4 Ainsworth, Mark 4 Zítka, Martin 3 Brandts, Jan H. 3 Hannukainen, Antti 2 Kus, Pavel 2 Plesa, Tomislav 2 Rybář, Vojtěch 1 Araiza, Roberto 1 Ávila, Francisco 1 Bozorgnia, Farid 1 Chapman, Stephen Jonathan 1 Cotter, Simon L. 1 Dolgov, Sergey V. 1 Kevrekidis, Ioannis George 1 Mohammadi, Seyyed Abbas 1 Němec, Jan 1 Rozložník, Miroslav 1 Šebestová, Ivana all top 5 Serials 6 Applications of Mathematics 5 Journal of Computational and Applied Mathematics 5 Mathematics and Computers in Simulation 3 Computer Methods in Applied Mechanics and Engineering 2 IMA Journal of Numerical Analysis 2 Numerische Mathematik 2 Applied Numerical Mathematics 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Mathematica Bohemica 1 Pokroky Matematiky, Fyziky & Astronomie 1 SIAM Journal on Applied Mathematics 1 Advances in Mathematical Sciences and Applications 1 SIAM Journal on Scientific Computing 1 Applicationes Mathematicae 1 Advances in Computational Mathematics 1 Journal of Mathematical Chemistry 1 Journal of Numerical Mathematics 1 Central European Journal of Mathematics 1 Advances in Applied Mathematics and Mechanics all top 5 Fields 56 Numerical analysis (65-XX) 32 Partial differential equations (35-XX) 13 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 222 times in 146 Documents Cited by ▼ Year ▼ Discrete maximum principle for higher-order finite elements in 1D. Zbl 1125.65108Vejchodsky, Tomás; Solín, Pavel 20 2007 Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs, Poincaré, trace, and similar constants. Zbl 1287.35050Šebestová, Ivana; Vejchodský, Tomáš 18 2014 Guaranteed and locally computable a posteriori error estimate. Zbl 1096.65112Vejchodský, Tomáš 18 2006 Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems. Zbl 1229.65194Ainsworth, Mark; Vejchodský, Tomáš 16 2011 Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš 14 2009 Complementarity based a posteriori error estimates and their properties. Zbl 1256.65097Vejchodský, Tomáš 11 2012 Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension. Zbl 1425.65140Ainsworth, Mark; Vejchodský, Tomáš 11 2014 Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti 9 2010 A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems. Zbl 1441.65090Ainsworth, Mark; Vejchodský, Tomáš 8 2019 Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 7 2009 A weak discrete maximum principle for \(hp\)-FEM. Zbl 1153.35313Šolín, Pavel; Vejchodský, Tomáš 7 2007 Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. Zbl 1435.65191Vejchodský, Tomáš 7 2018 On the nonnegativity conservation in semidiscrete parabolic problems. Zbl 1073.65096Vejchodský, Tomás 6 2004 Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek 6 2013 Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM. Zbl 1145.65101Vejchodský, Tomáš; Šolín, Pavel 5 2008 Modular hp-FEM system HERMES and its application to Maxwell’s equations. Zbl 1157.78356Vejchodský, Tomáš; Šolín, Pavel; Zítka, Martin 4 2007 Three methods for two-sided bounds of eigenvalues. A comparison. Zbl 1407.65300Vejchodský, Tomáš 4 2018 The discrete maximum principle for Galerkin solutions of elliptic problems. Zbl 1247.65151Vejchodský, Tomáš 4 2012 Computing upper bounds on Friedrichs’ constant. Zbl 1313.65296Vejchodský, Tomáš 3 2012 Higher-order discrete maximum principle for 1D diffusion-reaction problems. Zbl 1230.65088Vejchodský, Tomáš 3 2010 Orthogonal \(hp\)-FEM for elliptic problems based on a non-affine concept. Zbl 1119.65404Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin 3 2006 Imposing orthogonality to hierarchic higher-order finite elements. Zbl 1135.65396Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin; Ávila, Francisco 3 2007 On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 3 2009 Higher-order finite elements based on generalized eigenfunctions of the Laplacian. Zbl 1158.78324Šolín, Pavel; Vejchodský, Tomáš 3 2008 Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by \(hp\)-FEM. Zbl 1172.65045Vejchodský, T.; Šolin, P. 3 2007 Test models for statistical inference: two-dimensional reaction systems displaying limit cycle bifurcations and bistability. Zbl 1401.92095Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek 3 2017 Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek 3 2016 Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions. Zbl 1349.92030Vejchodský, Tomáš 2 2014 Angle conditions for discrete maximum principles in higher-order FEM. Zbl 1216.65163Vejchodský, Tomáš 2 2010 Discrete maximum principle for Poisson equation with mixed boundary conditions solved by \(hp\)-FEM. Zbl 1262.65181Vejchodsky, T.; Solin, P. 2 2009 On the nonmonotony of nonlinear elliptic operators in divergence form. Zbl 1078.47009Vejchodský, Tomáš 1 2004 Complementary error bounds for elliptic systems and applications. Zbl 1288.65171Vejchodský, Tomáš 1 2013 Comparison principle for a nonlinear parabolic problem of a nonmonotone type. Zbl 1014.35044Vejchodský, Tomáš 1 2002 On efficient solution of linear systems arising in \(hp\)-FEM. Zbl 1157.65496Vejchodský, T. 1 2008 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 1 2015 Discrete conservation of nonnegativity for elliptic problems solved by the \(hp\)-FEM. Zbl 1135.65395Šolín, Pavel; Vejchodský, Tomáš; Araiza, Roberto 1 2007 The first eigenvalue and eigenfunction of a nonlinear elliptic system. Zbl 1429.35165Bozorgnia, Farid; Mohammadi, Seyyed Abbas; Vejchodský, Tomáš 1 2019 Irregularity of Turing patterns in the Thomas model with a unilateral term. Zbl 1374.65168Rybář, Vojtěch; Vejchodský, Tomáš 1 2015 Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. Zbl 1099.65091Vejchodský, Tomáš 1 2003 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 1 2012 Necessary and sufficient condition for the validity of the discrete maximum principle. Zbl 1278.65183Vejchodský, Tomáš 1 2012 On the quality of local flux reconstructions for guaranteed error bounds. Zbl 1363.65193Vejchodský, Tomáš 1 2015 Guaranteed a posteriori error bounds for low-rank tensor approximate solutions. Zbl 1511.65121Dolgov, Sergey; Vejchodský, Tomáš 1 2021 Fully computable a posteriori error bounds for eigenfunctions. Zbl 1496.65204Liu, Xuefeng; Vejchodský, Tomáš 1 2022 Fully computable a posteriori error bounds for eigenfunctions. Zbl 1496.65204Liu, Xuefeng; Vejchodský, Tomáš 1 2022 Guaranteed a posteriori error bounds for low-rank tensor approximate solutions. Zbl 1511.65121Dolgov, Sergey; Vejchodský, Tomáš 1 2021 A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems. Zbl 1441.65090Ainsworth, Mark; Vejchodský, Tomáš 8 2019 The first eigenvalue and eigenfunction of a nonlinear elliptic system. Zbl 1429.35165Bozorgnia, Farid; Mohammadi, Seyyed Abbas; Vejchodský, Tomáš 1 2019 Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. Zbl 1435.65191Vejchodský, Tomáš 7 2018 Three methods for two-sided bounds of eigenvalues. A comparison. Zbl 1407.65300Vejchodský, Tomáš 4 2018 Test models for statistical inference: two-dimensional reaction systems displaying limit cycle bifurcations and bistability. Zbl 1401.92095Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek 3 2017 Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek 3 2016 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 1 2015 Irregularity of Turing patterns in the Thomas model with a unilateral term. Zbl 1374.65168Rybář, Vojtěch; Vejchodský, Tomáš 1 2015 On the quality of local flux reconstructions for guaranteed error bounds. Zbl 1363.65193Vejchodský, Tomáš 1 2015 Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs, Poincaré, trace, and similar constants. Zbl 1287.35050Šebestová, Ivana; Vejchodský, Tomáš 18 2014 Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension. Zbl 1425.65140Ainsworth, Mark; Vejchodský, Tomáš 11 2014 Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions. Zbl 1349.92030Vejchodský, Tomáš 2 2014 Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek 6 2013 Complementary error bounds for elliptic systems and applications. Zbl 1288.65171Vejchodský, Tomáš 1 2013 Complementarity based a posteriori error estimates and their properties. Zbl 1256.65097Vejchodský, Tomáš 11 2012 The discrete maximum principle for Galerkin solutions of elliptic problems. Zbl 1247.65151Vejchodský, Tomáš 4 2012 Computing upper bounds on Friedrichs’ constant. Zbl 1313.65296Vejchodský, Tomáš 3 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 1 2012 Necessary and sufficient condition for the validity of the discrete maximum principle. Zbl 1278.65183Vejchodský, Tomáš 1 2012 Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems. Zbl 1229.65194Ainsworth, Mark; Vejchodský, Tomáš 16 2011 Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti 9 2010 Higher-order discrete maximum principle for 1D diffusion-reaction problems. Zbl 1230.65088Vejchodský, Tomáš 3 2010 Angle conditions for discrete maximum principles in higher-order FEM. Zbl 1216.65163Vejchodský, Tomáš 2 2010 Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš 14 2009 Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 7 2009 On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 3 2009 Discrete maximum principle for Poisson equation with mixed boundary conditions solved by \(hp\)-FEM. Zbl 1262.65181Vejchodsky, T.; Solin, P. 2 2009 Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM. Zbl 1145.65101Vejchodský, Tomáš; Šolín, Pavel 5 2008 Higher-order finite elements based on generalized eigenfunctions of the Laplacian. Zbl 1158.78324Šolín, Pavel; Vejchodský, Tomáš 3 2008 On efficient solution of linear systems arising in \(hp\)-FEM. Zbl 1157.65496Vejchodský, T. 1 2008 Discrete maximum principle for higher-order finite elements in 1D. Zbl 1125.65108Vejchodsky, Tomás; Solín, Pavel 20 2007 A weak discrete maximum principle for \(hp\)-FEM. Zbl 1153.35313Šolín, Pavel; Vejchodský, Tomáš 7 2007 Modular hp-FEM system HERMES and its application to Maxwell’s equations. Zbl 1157.78356Vejchodský, Tomáš; Šolín, Pavel; Zítka, Martin 4 2007 Imposing orthogonality to hierarchic higher-order finite elements. Zbl 1135.65396Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin; Ávila, Francisco 3 2007 Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by \(hp\)-FEM. Zbl 1172.65045Vejchodský, T.; Šolin, P. 3 2007 Discrete conservation of nonnegativity for elliptic problems solved by the \(hp\)-FEM. Zbl 1135.65395Šolín, Pavel; Vejchodský, Tomáš; Araiza, Roberto 1 2007 Guaranteed and locally computable a posteriori error estimate. Zbl 1096.65112Vejchodský, Tomáš 18 2006 Orthogonal \(hp\)-FEM for elliptic problems based on a non-affine concept. Zbl 1119.65404Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin 3 2006 On the nonnegativity conservation in semidiscrete parabolic problems. Zbl 1073.65096Vejchodský, Tomás 6 2004 On the nonmonotony of nonlinear elliptic operators in divergence form. Zbl 1078.47009Vejchodský, Tomáš 1 2004 Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. Zbl 1099.65091Vejchodský, Tomáš 1 2003 Comparison principle for a nonlinear parabolic problem of a nonmonotone type. Zbl 1014.35044Vejchodský, Tomáš 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 225 Authors 18 Vejchodský, Tomáš 12 Korotov, Sergey 8 Erban, Radek 7 Šolín, Pavel 5 Huang, Qiumei 5 Segeth, Karel 5 Vohralík, Martin 5 Xu, Fei 4 Faragó, István 4 Hannukainen, Antti 4 Křížek, Michal 4 Xie, Hehu 3 Díez, Pedro 3 Horváth, Robert A. 3 Kang, Hye-Won 3 Karátson, János 3 Korneev, Vadim Glebovich 3 Parés, Núria 3 Plesa, Tomislav 3 Zhang, Shun 2 Ainsworth, Mark 2 Boulbrachene, Messaoud 2 Brandts, Jan H. 2 Cai, Zhiqiang 2 Carstensen, Carsten 2 Červený, Jakub 2 Chen, Shaochun 2 Cotter, Simon L. 2 Dolejší, Vít 2 Ern, Alexandre 2 Hwang, Hyung Ju 2 Lipnikov, Konstantin N. 2 Ma, Hongkun 2 Manzini, Gianmarco 2 Mincsovics, Miklós Emil 2 Nakshatrala, Kalyana B. 2 Puttkammer, Sophie 2 Svyatsky, Daniil 2 Valdman, Jan 2 Velázquez, Juan J. L. 2 Xie, ManTing 2 Yue, Meiling 2 Zhang, Bei 2 Zhao, Jikun 1 Abdul-Rahman, Raghad 1 Abukhdeir, Nasser Mohieddin 1 Agnelli, Juan Pablo 1 Allendes, Alejandro 1 Álvarez-Aramberri, Julen 1 Andrs, David 1 Araiza, Roberto 1 Arakelyan, Avetik 1 Arioli, Mario 1 Avijit, D. 1 Bachmayr, Markus 1 Badia, Santiago 1 Baker, Ruth Elizabeth 1 Banjai, Lehel 1 Ben Belgacem, Faker 1 Bertrand, Fleurianne 1 Bi, Hai 1 Bittencourt, Marco Lúcio 1 Blanc, Xavier 1 Boulton, Lyonell 1 Bozorgnia, Farid 1 Byfut, Andreas 1 Cai, Difeng 1 Calo, Victor Manuel 1 Cancès, Eric 1 Cheddadi, Ibrahim 1 Chen, Shuangshuang 1 Chen, Zheng 1 Congreve, Scott 1 Dalcín, Lisandro D. 1 Debit, Naïma 1 Debyaoui, Mohamed Ali 1 Demlow, Alan 1 Doležel, Ivo 1 Dusson, Geneviève 1 El Fekih, Henda 1 Enciso, Germán Andrés 1 Ersoy, Mehmet 1 Evans, John A. 1 Fencl, Martin 1 Ferrer, Esteban 1 Fučík, Radek 1 Galindo, Shirley Mae 1 Gao, Fuzheng 1 Gawecka, K. A. 1 Geijselaers, H. J. M. 1 Ghoudi, Tarek 1 Giani, Stefano 1 Giles, Michael B. 1 Grubišić, Luka 1 Gyrya, Vitaliy T. 1 Hao, Tingting 1 He, Cuiyu 1 Heltai, Luca 1 Hermeline, François 1 Hernández, Erwin ...and 125 more Authors all top 5 Cited in 50 Serials 18 Journal of Computational and Applied Mathematics 9 Computers & Mathematics with Applications 9 Journal of Computational Physics 8 Computer Methods in Applied Mechanics and Engineering 7 Mathematics and Computers in Simulation 7 Applications of Mathematics 6 SIAM Journal on Numerical Analysis 5 Bulletin of Mathematical Biology 5 Applied Mathematics and Computation 5 Numerische Mathematik 5 Applied Numerical Mathematics 4 Journal of Scientific Computing 3 International Journal for Numerical Methods in Engineering 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Chemistry 3 Communications in Computational Physics 2 European Journal of Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Advances in Computational Mathematics 2 Central European Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Advances in Applied Mathematics and Mechanics 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 Czechoslovak Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Computational Mathematics and Modeling 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Methods in Applied Mathematics 1 Acta Numerica 1 GAMM-Mitteilungen 1 Advances in Numerical Analysis 1 Science China. Mathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 East Asian Journal on Applied Mathematics 1 Journal of Fractal Geometry 1 Electronic Research Archive 1 International Journal on Finite Volumes all top 5 Cited in 22 Fields 118 Numerical analysis (65-XX) 71 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 15 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 9 Mechanics of deformable solids (74-XX) 8 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year