Edit Profile (opens in new tab) Zygalakis, Konstantinos C. Co-Author Distance Author ID: zygalakis.konstantinos-c Published as: Zygalakis, Konstantinos C.; Zygalakis, K. C.; Zygalakis, Konstantinos more...less Documents Indexed: 47 Publications since 2007, including 1 Book and 15 Additional arXiv Preprints Co-Authors: 62 Co-Authors with 46 Joint Publications 1,959 Co-Co-Authors all top 5 Co-Authors 1 single-authored 7 Stuart, Andrew M. 7 Vilmart, Gilles 6 Pereyra, Marcelo 5 Abdulle, Assyr 5 Sanz-Serna, Jesús María 4 Vollmer, Sebastian J. 3 Altmann, Yoann 3 Dobson, Paul W. 3 Eftekhari, Armin 3 Roose, Tiina 3 Szpruch, Lukasz 2 Crook, Oliver M. 2 Daly, Keith R. 2 Di Giovacchino, Stefano 2 Duncan, Andrew B. 2 Erban, Radek 2 Giles, Michael B. 2 Hurst, Tim D. 2 Law, Kody J. H. 2 Nagapetyan, Tigran 2 Pavliotis, Grigorios A. 2 Payvandi, Sevil 2 Schönlieb, Carola-Bibiane 2 Thorpe, Matthew 1 Bertozzi, Andrea Louise 1 Blömker, Dirk 1 Calderhead, Ben 1 Chapman, Stephen Jonathan 1 Conrad, Patrick R. 1 Cucuringu, Mihai 1 Di Fulvio, Angela 1 Durmus, Alain 1 Fang, Ming 1 Girolami, Mark A. 1 Gong, Xue 1 Hasenclever, Leonard Q. 1 Haynes, Peter H. 1 Helin, Tapio 1 Iyer, Gautam 1 Jones, Dustin L. 1 Keyes, Samuel David 1 Klatzer, Teresa 1 Lipková, Jana 1 Luo, Xiyang 1 Majka, Mateusz B. 1 Maskan, Hoomaan 1 Melidonis, Savvas 1 Mieles, Luis Vargas 1 Norris, James R. 1 Pearson, John W. 1 Roberts, Gareth O. 1 Rusch, Konstantin 1 Särkkä, Simo 1 Talboys, P. 1 Tarpau, Cécilia 1 Teckentrup, Aretha L. 1 Teh, Yee Whye 1 Teymur, Onur 1 Trindade, Thomas Trigo 1 Vandereycken, Bart 1 Vargas-Mieles, Luis A. 1 Yurtsever, Alp all top 5 Serials 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Imaging Sciences 3 Bulletin of Mathematical Biology 3 SIAM Journal on Scientific Computing 3 Statistics and Computing 2 Journal of Computational Physics 2 BIT 2 Journal of Machine Learning Research (JMLR) 2 Multiscale Modeling & Simulation 1 Nonlinearity 1 The Annals of Applied Probability 1 SIAM Journal on Applied Mathematics 1 Communications in Mathematical Sciences 1 Texts in Applied Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Fields 25 Numerical analysis (65-XX) 17 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 8 Computer science (68-XX) 5 Ordinary differential equations (34-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 517 times in 427 Documents Cited by ▼ Year ▼ Data assimilation. A mathematical introduction. Zbl 1353.60002 Law, Kody; Stuart, Andrew; Zygalakis, Konstantinos 171 2015 Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation. Zbl 1271.34013 Blömker, D.; Law, K.; Stuart, A. M.; Zygalakis, K. C. 36 2013 Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083 Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C. 32 2018 Statistical analysis of differential equations: introducing probability measures on numerical solutions. Zbl 1384.62082 Conrad, Patrick R.; Girolami, Mark; Särkkä, Simo; Stuart, Andrew; Zygalakis, Konstantinos 29 2017 High order numerical approximation of the invariant measure of ergodic SDEs. Zbl 1310.65007 Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 28 2014 Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics. Zbl 1327.65015 Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 27 2015 High weak order methods for stochastic differential equations based on modified equations. Zbl 1246.65008 Abdulle, Assyr; Cohen, David; Vilmart, Gilles; Zygalakis, Konstantinos C. 22 2012 Weak second-order explicit stabilized methods for stiff stochastic differential equations. Zbl 1281.65005 Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 20 2013 Analysis of Brownian dynamics simulations of reversible bimolecular reactions. Zbl 1229.80023 Lipková, Jana; Zygalakis, Konstantinos C.; Chapman, S. Jonathan; Erban, Radek 19 2011 Exploration of the (non-)asymptotic bias and variance of stochastic gradient Langevin dynamics. Zbl 1391.60178 Vollmer, Sebastian J.; Zygalakis, Konstantinos C.; Teh, Yee Whye 19 2016 Hybrid framework for the simulation of stochastic chemical kinetics. Zbl 1373.92041 Duncan, Andrew; Erban, Radek; Zygalakis, Konstantinos 19 2016 On the existence and the applications of modified equations for stochastic differential equations. Zbl 1236.60069 Zygalakis, K. C. 16 2011 Accelerating proximal Markov chain Monte Carlo by using an explicit stabilized method. Zbl 07218335 Pereyra, Marcelo; Mieles, Luis Vargas; Zygalakis, Konstantinos C. 12 2020 Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007 Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 10 2009 Fast Langevin based algorithm for MCMC in high dimensions. Zbl 1373.60053 Durmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C. 10 2017 Mean-square \(A\)-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations. Zbl 1367.65011 Abdulle, A.; Vilmart, G.; Zygalakis, K. C. 8 2013 Homogenization for inertial particles in a random flow. Zbl 1133.60338 Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 7 2007 Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations. Zbl 07626757 Sanz-Serna, Jesus Maria; Zygalakis, Konstantinos C. 6 2021 The connections between Lyapunov functions for some optimization algorithms and differential equations. Zbl 1467.65070 Sanz Serna, J. M.; Zygalakis, K. C. 5 2021 Multi-level Monte Carlo methods for the approximation of invariant measures of stochastic differential equations. Zbl 1505.62159 Giles, Michael B.; Majka, Mateusz B.; Szpruch, Lukasz; Vollmer, Sebastian J.; Zygalakis, Konstantinos C. 5 2020 Contractivity of Runge-Kutta methods for convex gradient systems. Zbl 1451.65092 Sanz Serna, J. M.; Zygalakis, K. C. 3 2020 Bayesian imaging with data-driven priors encoded by neural networks. Zbl 1524.68422 Holden, Matthew; Pereyra, Marcelo; Zygalakis, Konstantinos C. 3 2022 An explicit structural model of root hair and soil interactions parameterised by synchrotron X-ray computed tomography. Zbl 1380.92042 Keyes, Samuel David; Zygalakis, Konstantinos C.; Roose, Tiina 2 2017 Mathematical modelling of the phloem: the importance of diffusion on sugar transport at osmotic equilibrium. Zbl 1329.92079 Payvandi, S.; Daly, K. R.; Zygalakis, K. C.; Roose, T. 2 2014 A mathematical model of water and nutrient transport in xylem vessels of a wheat plant. Zbl 1329.92078 Payvandi, S.; Daly, K. R.; Jones, D. L.; Talboys, P.; Zygalakis, K. C.; Roose, T. 2 2014 Explicit stabilised gradient descent for faster strongly convex optimisation. Zbl 1462.90089 Eftekhari, Armin; Vandereycken, Bart; Vilmart, Gilles; Zygalakis, Konstantinos C. 2 2021 Homogenization for advection-diffusion in a perforated domain. Zbl 1222.60059 Haynes, P. H.; Hoang, V. H.; Norris, J. R.; Zygalakis, K. C. 1 2010 The forward-backward envelope for sampling with the overdamped Langevin algorithm. Zbl 1516.62012 Eftekhari, Armin; Vargas, Luis; Zygalakis, Konstantinos C. 1 2023 The forward-backward envelope for sampling with the overdamped Langevin algorithm. Zbl 1516.62012 Eftekhari, Armin; Vargas, Luis; Zygalakis, Konstantinos C. 1 2023 Bayesian imaging with data-driven priors encoded by neural networks. Zbl 1524.68422 Holden, Matthew; Pereyra, Marcelo; Zygalakis, Konstantinos C. 3 2022 Wasserstein distance estimates for the distributions of numerical approximations to ergodic stochastic differential equations. Zbl 07626757 Sanz-Serna, Jesus Maria; Zygalakis, Konstantinos C. 6 2021 The connections between Lyapunov functions for some optimization algorithms and differential equations. Zbl 1467.65070 Sanz Serna, J. M.; Zygalakis, K. C. 5 2021 Explicit stabilised gradient descent for faster strongly convex optimisation. Zbl 1462.90089 Eftekhari, Armin; Vandereycken, Bart; Vilmart, Gilles; Zygalakis, Konstantinos C. 2 2021 Accelerating proximal Markov chain Monte Carlo by using an explicit stabilized method. Zbl 07218335 Pereyra, Marcelo; Mieles, Luis Vargas; Zygalakis, Konstantinos C. 12 2020 Multi-level Monte Carlo methods for the approximation of invariant measures of stochastic differential equations. Zbl 1505.62159 Giles, Michael B.; Majka, Mateusz B.; Szpruch, Lukasz; Vollmer, Sebastian J.; Zygalakis, Konstantinos C. 5 2020 Contractivity of Runge-Kutta methods for convex gradient systems. Zbl 1451.65092 Sanz Serna, J. M.; Zygalakis, K. C. 3 2020 Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083 Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C. 32 2018 Statistical analysis of differential equations: introducing probability measures on numerical solutions. Zbl 1384.62082 Conrad, Patrick R.; Girolami, Mark; Särkkä, Simo; Stuart, Andrew; Zygalakis, Konstantinos 29 2017 Fast Langevin based algorithm for MCMC in high dimensions. Zbl 1373.60053 Durmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C. 10 2017 An explicit structural model of root hair and soil interactions parameterised by synchrotron X-ray computed tomography. Zbl 1380.92042 Keyes, Samuel David; Zygalakis, Konstantinos C.; Roose, Tiina 2 2017 Exploration of the (non-)asymptotic bias and variance of stochastic gradient Langevin dynamics. Zbl 1391.60178 Vollmer, Sebastian J.; Zygalakis, Konstantinos C.; Teh, Yee Whye 19 2016 Hybrid framework for the simulation of stochastic chemical kinetics. Zbl 1373.92041 Duncan, Andrew; Erban, Radek; Zygalakis, Konstantinos 19 2016 Data assimilation. A mathematical introduction. Zbl 1353.60002 Law, Kody; Stuart, Andrew; Zygalakis, Konstantinos 171 2015 Long time accuracy of Lie-Trotter splitting methods for Langevin dynamics. Zbl 1327.65015 Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 27 2015 High order numerical approximation of the invariant measure of ergodic SDEs. Zbl 1310.65007 Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 28 2014 Mathematical modelling of the phloem: the importance of diffusion on sugar transport at osmotic equilibrium. Zbl 1329.92079 Payvandi, S.; Daly, K. R.; Zygalakis, K. C.; Roose, T. 2 2014 A mathematical model of water and nutrient transport in xylem vessels of a wheat plant. Zbl 1329.92078 Payvandi, S.; Daly, K. R.; Jones, D. L.; Talboys, P.; Zygalakis, K. C.; Roose, T. 2 2014 Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation. Zbl 1271.34013 Blömker, D.; Law, K.; Stuart, A. M.; Zygalakis, K. C. 36 2013 Weak second-order explicit stabilized methods for stiff stochastic differential equations. Zbl 1281.65005 Abdulle, Assyr; Vilmart, Gilles; Zygalakis, Konstantinos C. 20 2013 Mean-square \(A\)-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations. Zbl 1367.65011 Abdulle, A.; Vilmart, G.; Zygalakis, K. C. 8 2013 High weak order methods for stochastic differential equations based on modified equations. Zbl 1246.65008 Abdulle, Assyr; Cohen, David; Vilmart, Gilles; Zygalakis, Konstantinos C. 22 2012 Analysis of Brownian dynamics simulations of reversible bimolecular reactions. Zbl 1229.80023 Lipková, Jana; Zygalakis, Konstantinos C.; Chapman, S. Jonathan; Erban, Radek 19 2011 On the existence and the applications of modified equations for stochastic differential equations. Zbl 1236.60069 Zygalakis, K. C. 16 2011 Homogenization for advection-diffusion in a perforated domain. Zbl 1222.60059 Haynes, P. H.; Hoang, V. H.; Norris, J. R.; Zygalakis, K. C. 1 2010 Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007 Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 10 2009 Homogenization for inertial particles in a random flow. Zbl 1133.60338 Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 7 2007 all cited Publications top 5 cited Publications all top 5 Cited by 785 Authors 20 Stuart, Andrew M. 12 Zygalakis, Konstantinos C. 11 Law, Kody J. H. 11 Pereyra, Marcelo 11 Reich, Sebastian 11 Titi, Edriss Saleh 10 Abdulle, Assyr 10 Jasra, Ajay 9 Sanz-Alonso, Daniel 8 Durmus, Alain 8 Erban, Radek 7 Hong, Jialin 7 Larios, Adam 7 Trillos, Nicolás García 7 Vilmart, Gilles 6 Farhat, Aseel 6 Jolly, Michael Summerfield 6 Shang, Xiaocheng 5 Beskos, Alexandros 5 Biswas, Animikh 5 Chen, Nan 5 De Bortoli, Valentin 5 Girolami, Mark A. 5 Hennig, Philipp 5 Hosseini, Bamdad 5 Latz, Jonas 5 Martinez, Vincent R. 5 Rebholz, Leo G. 5 Sullivan, Tim 5 Tempone, Raúl F. 4 Almuslimani, Ibrahim 4 Bréhier, Charles-Edouard 4 Burrage, Kevin 4 Chen, Chuchu 4 Cockayne, Jon 4 Crisan, Dan O. 4 Isaacson, Samuel A. 4 Kamatani, Kengo 4 Laurent, Adrien 4 Majda, Andrew J. 4 Oates, Chris J. 4 Stoltz, Gabriel 4 Wang, Zhongjian 4 Xin, Jack X. 4 Zhang, Zhiwen 3 Apte, Amit 3 Calder, Jeff 3 Carlson, Elizabeth 3 Chada, Neil K. 3 De Souza, Giacomo Rosilho 3 Del Moral, Pierre 3 Di Giovacchino, Stefano 3 Duncan, Andrew B. 3 Flegg, Mark B. 3 Garbuno-Inigo, Alfredo 3 García-Archilla, Bosco 3 Giannakis, Dimitrios 3 Gupta, Ankit 3 Hoffmann, Franca 3 Hudson, Joshua 3 Khammash, Mustafa H. 3 Komori, Yoshio 3 Leimkuhler, Benedict J. 3 Levine, Matthew E. 3 Lie, Han Cheng 3 Lin, Guang 3 Lu, Jianfeng 3 Lunasin, Evelyn M. 3 Maclean, John 3 Majka, Mateusz B. 3 Marzouk, Youssef M. 3 Matthies, Hermann Georg 3 Mondaini, Cecilia F. 3 Novo, Julia 3 Olson, Eric J. 3 Paulin, Daniel 3 Pavliotis, Grigorios A. 3 Santitissadeekorn, Naratip 3 Särkkä, Simo 3 Schillings, Claudia 3 Spiliopoulos, Konstantinos V. 3 Sun, Liying 3 Szpruch, Lukasz 3 Tang, Xiao 3 Tong, Xin Thomson 3 Van Vleck, Erik S. 3 Vollmer, Sebastian J. 3 Wang, Xu 3 Xiao, Aiguo 3 Yang, Ruiyi 3 Zerfas, Camille 3 Zhou, Yan 2 Albers, David J. 2 Almansa, Andrés 2 Anderson, David Frederick 2 Bach, Francis R. 2 Bertozzi, Andrea Louise 2 Biscay, Rolando J. 2 Bishop, Adrian N. 2 Blumenthal, Adrian ...and 685 more Authors all top 5 Cited in 125 Serials 36 Journal of Computational Physics 26 SIAM/ASA Journal on Uncertainty Quantification 24 SIAM Journal on Scientific Computing 18 SIAM Journal on Numerical Analysis 17 Statistics and Computing 12 Inverse Problems 12 SIAM Journal on Applied Dynamical Systems 11 Bulletin of Mathematical Biology 10 Multiscale Modeling & Simulation 9 BIT 9 Physica D 9 Journal of Machine Learning Research (JMLR) 7 The Annals of Applied Probability 7 SIAM Review 7 SIAM Journal on Imaging Sciences 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Fluid Mechanics 6 Foundations of Data Science 5 Journal of Computational and Applied Mathematics 5 Numerische Mathematik 5 Journal of Scientific Computing 5 SIAM Journal on Mathematical Analysis 5 Stochastic Processes and their Applications 5 Journal of Nonlinear Science 5 SIAM Journal on Mathematics of Data Science 4 Mathematics of Computation 4 Applied Mathematics and Computation 4 Applied Mathematics and Optimization 4 Journal of the American Statistical Association 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Advances in Applied Probability 3 Chinese Annals of Mathematics. Series B 3 Applied Numerical Mathematics 3 SIAM Journal on Optimization 3 Applied and Computational Harmonic Analysis 3 Chaos 3 Acta Numerica 3 GAMM-Mitteilungen 3 Bayesian Analysis 2 Mathematical Biosciences 2 Nonlinearity 2 Calcolo 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Communications in Statistics. Simulation and Computation 2 Computational Statistics and Data Analysis 2 Computational and Applied Mathematics 2 Electronic Journal of Probability 2 Computational Geosciences 2 Optimization and Engineering 2 Foundations of Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Analysis and Applications (Singapore) 2 Mathematical Biosciences and Engineering 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Theoretical Biology 2 Journal of Computational Dynamics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 The Annals of Statistics 1 Journal of Differential Equations 1 Journal of Mathematical Psychology 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Statistica Neerlandica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Statistical Science 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Neural Networks 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 Vestnik St. Petersburg University. Mathematics 1 Potential Analysis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Journal of Computational Neuroscience 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Nonlinear Dynamics 1 Journal of Mathematical Fluid Mechanics 1 Combustion Theory and Modelling 1 Nonlinear Analysis. Real World Applications ...and 25 more Serials all top 5 Cited in 37 Fields 252 Numerical analysis (65-XX) 155 Statistics (62-XX) 147 Probability theory and stochastic processes (60-XX) 87 Partial differential equations (35-XX) 62 Systems theory; control (93-XX) 59 Dynamical systems and ergodic theory (37-XX) 52 Computer science (68-XX) 51 Fluid mechanics (76-XX) 48 Biology and other natural sciences (92-XX) 26 Statistical mechanics, structure of matter (82-XX) 22 Geophysics (86-XX) 21 Ordinary differential equations (34-XX) 20 Operations research, mathematical programming (90-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Operator theory (47-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) Citations by Year