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Zygalakis, Konstantinos C.

Author ID: zygalakis.konstantinos-c Recent zbMATH articles by "Zygalakis, Konstantinos C."
Published as: Zygalakis, Konstantinos C.; Zygalakis, K. C.; Zygalakis, Konstantinos

Publications by Year

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 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