Noise-induced multistability in chemical systems: Discrete versus continuum modeling A Duncan, S Liao, T Vejchodský, R Erban, R Grima Physical Review E 91 (4), 042111, 2015 | 73 | 2015 |
Discrete maximum principle for higher-order finite elements in 1D T Vejchodský, P Šolín Mathematics of Computation 76 (260), 1833-1846, 2007 | 72 | 2007 |
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model R Erban, SJ Chapman, IG Kevrekidis, T Vejchodský SIAM Journal on Applied Mathematics 70 (3), 984-1016, 2009 | 69 | 2009 |
Guaranteed and locally computable a posteriori error estimate T Vejchodský IMA Journal of Numerical Analysis 26 (3), 525-540, 2006 | 56 | 2006 |
Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs', Poincare, trace, and similar constants I Šebestová, T Vejchodský arXiv preprint arXiv:1303.7416, 2013 | 55 | 2013 |
Tensor methods for parameter estimation and bifurcation analysis of stochastic reaction networks S Liao, T Vejchodský, R Erban Journal of The Royal Society Interface 12 (108), 20150233, 2015 | 48 | 2015 |
Fully computable robust a posteriori error bounds for singularly perturbed reaction–diffusion problems M Ainsworth, T Vejchodský Numerische Mathematik 119 (2), 219-243, 2011 | 44 | 2011 |
Robust error bounds for finite element approximation of reaction–diffusion problems with non-constant reaction coefficient in arbitrary space dimension M Ainsworth, T Vejchodský Computer Methods in Applied Mechanics and Engineering 281, 184-199, 2014 | 40 | 2014 |
Modular hp-FEM system HERMES and its application to Maxwell’s equations T Vejchodský, P Šolín, M Zítka Mathematics and Computers in Simulation 76 (1), 223-228, 2007 | 36 | 2007 |
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes A Hannukainen, S Korotov, T Vejchodský Journal of computational and applied mathematics 226 (2), 275-287, 2009 | 33 | 2009 |
Chemical reaction systems with a homoclinic bifurcation: an inverse problem T Plesa, T Vejchodský, R Erban Journal of Mathematical Chemistry 54, 1884-1915, 2016 | 27 | 2016 |
Complementarity based a posteriori error estimates and their properties T Vejchodský Mathematics and Computers in Simulation 82 (10), 2033-2046, 2012 | 25 | 2012 |
Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the hp-FEM T Vejchodský, P Šolín Journal of Computational and Applied Mathematics 218 (1), 192-200, 2008 | 25 | 2008 |
Discrete maximum principle for parabolic problems solved by prismatic finite elements T Vejchodský, S Korotov, A Hannukainen Mathematics and Computers in Simulation 80 (8), 1758-1770, 2010 | 24 | 2010 |
On the nonnegativity conservation in semidiscrete parabolic problems T Vejchodský Conjugate gradient algorithms and finite element methods, 197-210, 2004 | 22 | 2004 |
A weak discrete maximum principle for hp-FEM P Šolín, T Vejchodský Journal of Computational and Applied Mathematics 209 (1), 54-65, 2007 | 21 | 2007 |
Local a posteriori error estimator based on the hypercircle method T Vejchodský Proc. of the European Congress on Computational Method in Applied Mechanics …, 2004 | 21 | 2004 |
Test models for statistical inference: two-dimensional reaction systems displaying limit cycle bifurcations and bistability T Plesa, T Vejchodský, R Erban Stochastic processes, multiscale modeling, and numerical methods for …, 2017 | 20 | 2017 |
Adaptive finite element method assisted by stochastic simulation of chemical systems SL Cotter, T Vejchodsky, R Erban SIAM Journal on Scientific Computing 35 (1), B107-B131, 2013 | 19 | 2013 |
The discrete maximum principle for Galerkin solutions of elliptic problems T Vejchodský Open Mathematics 10 (1), 25-43, 2012 | 19 | 2012 |