Numerical solution of the scalar double-well problem allowing microstructure. - Carsten Carstensen; Petr Plechác (Math. Comput., 1997)

On Functional Separately Convex Hulls. - Jirí Matousek 001; Petr Plechác (Discret. Comput. Geom., 1998)

Numerical Analysis of Compatible Phase Transitions in Elastic Solids. - Carsten Carstensen; Petr Plechác (SIAM J. Numer. Anal., 2000)

Error Analysis of Coarse-Graining for Stochastic Lattice Dynamics. - Markos A. Katsoulakis; Petr Plechác; Alexandros Sopasakis (SIAM J. Numer. Anal., 2006)

Numerical and Statistical Methods for the Coarse-Graining of Many-Particle Stochastic Systems. - Markos A. Katsoulakis; Petr Plechác; Luc Rey-Bellet (J. Sci. Comput., 2008)

Multibody Interactions in Coarse-Graining Schemes for Extended Systems. - Sasanka Are; Markos A. Katsoulakis; Petr Plechác; Luc Rey-Bellet (SIAM J. Sci. Comput., 2008)

Implicit Mass-matrix Penalization of Hamiltonian Dynamics with Application to Exact Sampling of Stiff Systems. - Petr Plechác; Mathias Rousset (Multiscale Model. Simul., 2009)

Hierarchical fractional-step approximations and parallel kinetic Monte Carlo algorithms. - Giorgos Arampatzis; Markos A. Katsoulakis; Petr Plechác; Michela Taufer; Lifan Xu (J. Comput. Phys., 2012)

Multilevel coarse graining and nano-pattern discovery in many particle stochastic systems. - Evangelia Kalligiannaki; Markos A. Katsoulakis; Petr Plechác; Dionisios G. Vlachos (J. Comput. Phys., 2012)

Information-theoretic tools for parametrized coarse-graining of non-equilibrium extended systems - Markos A. Katsoulakis; Petr Plechác (CoRR, 2013)

Coarse-graining schemes for stochastic lattice systems with short and long-range interactions. - Markos A. Katsoulakis; Petr Plechác; Luc Rey-Bellet; Dimitrios K. Tsagkarogiannis (Math. Comput., 2014)

Parallelization, Processor Communication and Error Analysis in Lattice Kinetic Monte Carlo. - Giorgos Arampatzis; Markos A. Katsoulakis; Petr Plechác (SIAM J. Numer. Anal., 2014)

Spatial Two-Level Interacting Particle Simulations and Information Theory-Based Error Quantification. - Evangelia Kalligiannaki; Markos A. Katsoulakis; Petr Plechác (SIAM J. Sci. Comput., 2014)

Path-space variational inference for non-equilibrium coarse-grained systems. - Vagelis Harmandaris; Evangelia Kalligiannaki; Markos A. Katsoulakis; Petr Plechác (J. Comput. Phys., 2016)

Path-Space Information Bounds for Uncertainty Quantification and Sensitivity Analysis of Stochastic Dynamics. - Paul Dupuis; Markos A. Katsoulakis; Yannis Pantazis; Petr Plechác (SIAM/ASA J. Uncertain. Quantification, 2016)

Stationary Averaging for Multiscale Continuous Time Markov Chains Using Parallel Replica Dynamics. - Ting Wang; Petr Plechác; David Aristoff (Multiscale Model. Simul., 2018)

Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states. - Ting Wang; Gabriel Stoltz; Petr Plechác (CoRR, 2019)

Steady-State Sensitivity Analysis of Continuous Time Markov Chains. - Ting Wang; Petr Plechác (SIAM J. Numer. Anal., 2019)

Understanding Rhyme Through Network Analysis. - Natalie M. Houston; Petr Plechác; Pablo Ruiz Fabo; Helena Bermúdez-Sabel; David Birnbaum; Elise Thorsen (DH, 2020)

Mapping Topic Evolution Across Poetic Traditions. - Petr Plechác; Thomas Nikolaus Haider (DH, 2020)

Adaptive random Fourier features with Metropolis sampling. - Aku Kammonen; Jonas Kiessling; Petr Plechác; Mattias Sandberg; Anders Szepessy (CoRR, 2020)

Smaller generalization error derived for deep compared to shallow residual neural networks. - Aku Kammonen; Jonas Kiessling; Petr Plechác; Mattias Sandberg; Anders Szepessy; Raúl Tempone (CoRR, 2020)

On an Unknown Ancestor of Burrows' Delta Measure. - Petr Plechác (CoRR, 2020)

Accelerated scale bridging with sparsely approximated Gaussian learning. - Ting Wang; Kenneth W. Leiter; Petr Plechác; Jaroslaw Knap (J. Comput. Phys., 2020)

Semantics of European poetry is shaped by conservative forces: The relationship between poetic meter and meaning in accentual-syllabic verse. - Artjoms Sela; Petr Plechác; Alie Lassche (CoRR, 2021)

Canonical mean-field molecular dynamics derived from quantum mechanics. - Xin Huang; Petr Plechác; Mattias Sandberg; Anders Szepessy (CoRR, 2021)

Martingale product estimators for sensitivity analysis in computational statistical physics. - Petr Plechác; Gabriel Stoltz; Ting Wang (CoRR, 2021)

Relative contributions of Shakespeare and Fletcher in Henry VIII: An analysis based on most frequent words and most frequent rhythmic patterns. - Petr Plechác (Digit. Scholarsh. Humanit., 2021)

On the time-domain full waveform inversion for time-dissipative and dispersive poroelastic media. - Miao-Jung Yvonne Ou; Petr Plechác; Jiangming Xie (CoRR, 2022)

Generative diffusion learning for parametric partial differential equations. - Ting Wang; Petr Plechác; Jaroslaw Knap (CoRR, 2023)

Metronome: tracing variation in poetic meters via local sequence alignment. - Ben Nagy 003; Artjoms Sela; Mirella De Sisto; Petr Plechác (CoRR, 2024)

Convergence rates for random feature neural network approximation in molecular dynamics. - Xin Huang; Petr Plechác; Mattias Sandberg; Anders Szepessy (CoRR, 2024)

Unsigned play by Milan Kundera? An authorship attribution study. - Lenka Jungmannová; Petr Plechác (Digit. Scholarsh. Humanit., 2024)

Path integral molecular dynamics approximations of quantum canonical observables. - Xin Huang; Petr Plechác; Mattias Sandberg; Anders Szepessy (J. Comput. Phys., 2025)