Konstantinos C. Zygalakis

Papers submitted for publication

[1]	Oliver M. Crook, Tim Hurst, Carola-Bibiane Schönlieb, Matthew Thorpe, and Konstantinos C. Zygalakis. PDE-inspired algorithms for semi-supervised learning on point clouds, 2019. [ bib \| arXiv ]
[2]	J. M. Sanz-Serna and Konstantinos C. Zygalakis. Contractivity of Runge-Kutta methods for convex gradient systems, 2019. [ bib \| arXiv ]
[3]	Luis Vargas, Marcelo Pereyra, and Konstantinos C. Zygalakis. Accelerating proximal Markov chain Monte Carlo by using an explicit stabilised method, 2019. [ bib \| arXiv ]
[4]	Armin Eftekhari, Bart Vandereycken, Gilles Vilmart, and Konstantinos C. Zygalakis. Explicit stabilised gradient descent for faster strongly convex optimisation, 2018. [ bib \| arXiv ]
[5]	A. B. Duncan, G. A. Pavliotis, and K. C. Zygalakis. Nonreversible Langevin samplers: Splitting schemes, analysis and implementation, 2017. [ bib \| arXiv ]

Refereed publications

[1]	Michael B. Giles, Mateusz B. Majka, Lukasz Szpruch, Sebastian J. Vollmer, and Konstantinos C. Zygalakis. Multi-level Monte Carlo methods for the approximation of invariant measures of stochastic differential equations. Statistics and Computing, 30(3):507--524, sep 2019. [ bib \| DOI \| http ]
[2]	A. L. Bertozzi, X. Luo, A. M. Stuart, and K. C. Zygalakis. Uncertainty quantification in graph-based classification of high dimensional data. SIAM/ASA Journal on Uncertainty Quantification, 6(2):568--595, 2018. [ bib \| DOI \| http ]
[3]	Tomislav Plesa, Konstantinos C. Zygalakis, David F. Anderson, and Radek Erban. Noise control for molecular computing. Journal of The Royal Society Interface, 15(144):20180199, 2018. [ bib \| DOI \| http ]
[4]	Samuel David Keyes, Konstantinos C. Zygalakis, and Tiina Roose. An explicit structural model of root hair and soil interactions parameterised by synchrotron X-ray computed tomography. Bulletin of Mathematical Biology, 79(12):2785--2813, 2017. [ bib \| DOI \| http ]
[5]	Alain Durmus, Gareth O. Roberts, Gilles Vilmart, and Konstantinos C. Zygalakis. Fast Langevin based algorithm for MCMC in high dimensions. Ann. Appl. Probab., 27(4):2195--2237, 08 2017. [ bib \| DOI \| http ]
[6]	Styliani Kontogeorgaki, Rubén J. Sánchez-García, Rob M. Ewing, Konstantinos C. Zygalakis, and Ben D. MacArthur. Noise-processing by signaling networks. Scientific Reports, 7(1):532, 2017. [ bib \| DOI \| http ]
[7]	Patrick R. Conrad, Mark Girolami, Simo Särkkä, Andrew Stuart, and Konstantinos Zygalakis. Statistical analysis of differential equations: introducing probability measures on numerical solutions. Statistics and Computing, 27(4):1065--1082, 2017. [ bib \| DOI \| http ]
[8]	P.M. Goggin, K.C. Zygalakis, R.O.C. Oreffo, and P. Schneider. High-resolution 3d imaging of osteocytes and computational modelling in mechanobiology: Insights on bone development, ageing, health and disease. European Cells and Materials, 31:264--295, 2016. [ bib ]
[9]	Andrew Duncan, Radek Erban, and Konstantinos Zygalakis. Hybrid framework for the simulation of stochastic chemical kinetics. Journal of Computational Physics, 326:398 -- 419, 2016. [ bib \| DOI \| http ]
[10]	J. Heppell, S. Payvandi, P. Talboys, K. C. Zygalakis, J. Fliege, D. Langton, R. Sylvester-Bradley, R. Walker, D. L. Jones, and T. Roose. Modelling the optimal phosphate fertiliser and soil management strategy for crops. Plant and Soil, 401(1):135--149, 2016. [ bib \| DOI \| http ]
[11]	Onur Teymur, Kostas Zygalakis, and Ben Calderhead. Probabilistic linear multistep methods. In D. D. Lee, M. Sugiyama, U. V. Luxburg, I. Guyon, and R. Garnett, editors, Advances in Neural Information Processing Systems 29, pages 4321--4328. Curran Associates, Inc., 2016. [ bib \| .pdf ]
[12]	J. Heppell, S. Payvandi, P. Talboys, K. C. Zygalakis, D. Langton, R. Sylvester-Bradley, A. C. Edwards, R. Walker, P. Withers, D. L. Jones, and T. Roose. Use of a coupled soil-root-leaf model to optimise phosphate fertiliser use efficiency in barley. Plant and Soil, 406(1):341--357, 2016. [ bib \| DOI \| http ]
[13]	A. Abdulle, G. Vilmart, and K. C. Zygalakis. Long time accuracy of Lie--Trotter splitting methods for Langevin dynamics. SIAM Journal on Numerical Analysis, 53(1):1--16, 2015. [ bib \| DOI \| http ]
[14]	Kody Law, Andrew Stuart, and Konstantinos Zygalakis. Data assimilation: A mathematical introduction, volume 62 of Texts in Applied Mathematics. Springer, Cham, 2015. A mathematical introduction. [ bib \| DOI ]
[15]	Sonya J. Ridden, Hannah H. Chang, Konstantinos C. Zygalakis, and Ben D. MacArthur. Entropy, ergodicity, and stem cell multipotency. Phys. Rev. Lett., 115:208103, Nov 2015. [ bib \| DOI \| http ]
[16]	J. Heppell, P. Talboys, S. Payvandi, K. C. Zygalakis, J. Fliege, P.J.A. Withers, D. L. Jones, and T. Roose. How changing root system architecture can help tackle a reduction in soil phosphate (p) levels for better plant p acquisition. Plant, Cell & Environment, 38(1):118--128, 2015. [ bib \| DOI \| http ]
[17]	Assyr Abdulle, Gilles Vilmart, and Konstantinos C. Zygalakis. High order numerical approximation of the invariant measure of ergodic sdes. SIAM Journal on Numerical Analysis, 52(4):1600--1622, 2014. [ bib \| DOI \| http ]
[18]	S. Payvandi, K. R. Daly, D. L. Jones, P. Talboys, K. C. Zygalakis, and T. Roose. A mathematical model of water and nutrient transport in xylem vessels of a wheat plant. Bulletin of Mathematical Biology, 76(3):566--596, 2014. [ bib \| DOI \| http ]
[19]	Tamás Székely, Kevin Burrage, Konstantinos C. Zygalakis, and Manuel Barrio. Efficient simulation of stochastic chemical kinetics with the stochastic Bulirsch-Stoer extrapolation method. BMC Systems Biology, 8(1):71, 2014. [ bib \| DOI \| http ]
[20]	S. Payvandi, K. R. Daly, K. C. Zygalakis, and T. Roose. Mathematical modelling of the phloem: The importance of diffusion on sugar transport at osmotic equilibrium. Bulletin of Mathematical Biology, 76(11):2834--2865, 2014. [ bib \| DOI \| http ]
[21]	J. Heppell, S. Payvandi, K. C. Zygalakis, J. Smethurst, J. Fliege, and T. Roose. Validation of a spatial--temporal soil water movement and plant water uptake model. Géotechnique, 64(7):526--539, 2014. [ bib \| DOI \| http ]
[22]	Assyr Abdulle, Gilles Vilmart, and Konstantinos C. Zygalakis. Weak second order explicit stabilized methods for stiff stochastic differential equations. SIAM Journal on Scientific Computing, 35(4):A1792--A1814, 2013. [ bib \| DOI \| http ]
[23]	D Blömker, K Law, A M Stuart, and K C Zygalakis. Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation. Nonlinearity, 26(8):2193--2219, 2013. [ bib \| DOI \| http ]
[24]	A. Abdulle, G. Vilmart, and K. C. Zygalakis. Mean-square a-stable diagonally drift-implicit integrators of weak second order for stiff itôstochastic differential equations. BIT Numerical Mathematics, 53(4):827--840, 2013. [ bib \| DOI \| http ]
[25]	G. Iyer and K. C. Zygalakis. Numerical studies of homogenization under a fast cellular flow. Multiscale Modeling & Simulation, 10(3):1046--1058, 2012. [ bib \| DOI \| http ]
[26]	A. Abdulle, D. Cohen, G. Vilmart, and K. C. Zygalakis. High weak order methods for stochastic differential equations based on modified equations. SIAM Journal on Scientific Computing, 34(3):A1800--A1823, 2012. [ bib \| DOI \| http ]
[27]	K.C. Zygalakis and T. Roose. A mathematical model for investigating the effect of cluster roots on plant nutrient uptake. European Physical Journal: Special Topics, 204(1):103--118, 2012. [ bib \| DOI \| http ]
[28]	D. Blömker, K. J. H. Law, A. M. Stuart, and K. C. Zygalakis. The 3DVAR filter for the navier-stokes equation: Accuracy and stability in the limit of high-frequency observations. AIP Conference Proceedings, 1479(1):916--919, 2012. [ bib \| DOI \| http ]
[29]	T. Székely Jr, K. Burrage, R. Erban, and K.C. Zygalakis. A higher-order numerical framework for stochastic simulation of chemical reaction systems. BMC Systems Biology, 85(6), 2009. [ bib \| DOI \| http ]
[30]	Simon L. Cotter, Konstantinos C. Zygalakis, Ioannis G. Kevrekidis, and Radek Erban. A constrained approach to multiscale stochastic simulation of chemically reacting systems. The Journal of Chemical Physics, 135(9):094102, 2011. [ bib \| DOI \| http ]
[31]	K. C. Zygalakis, G. J. D. Kirk, D. L. Jones, M. Wissuwa, and T. Roose. A dual porosity model of nutrient uptake by root hairs. New Phytologist, 192(3):676--688, 2011. [ bib \| DOI \| http ]
[32]	E. Oburger, D. Leitner, D. L. Jones, K. C. Zygalakis, A. Schnepf, and T. Roose. Adsorption and desorption dynamics of citric acid anions in soil. European Journal of Soil Science, 62(5):733--742, 2011. [ bib \| DOI \| http ]
[33]	K. C. Zygalakis. On the existence and the applications of modified equations for stochastic differential equations. SIAM Journal on Scientific Computing, 33(1):102--130, 2011. [ bib \| DOI \| http ]
[34]	J. Lipková, K. C. Zygalakis, S. J. Chapman, and R. Erban. Analysis of Brownian dynamics simulations of reversible bimolecular reactions. SIAM Journal on Applied Mathematics, 71(3):714--730, 2011. [ bib \| DOI \| http ]
[35]	P. H. Haynes, V. H. Hoang, J. R. Norris, and K. C. Zygalakis. Homogenization for advection-diffusion in a perforated domain, volume 378 of London Math. Soc. Lecture Note Ser., pages 397--415. Cambridge University Press, July 2010. [ bib ]
[36]	Bence Mélykúti, Kevin Burrage, and Konstantinos C. Zygalakis. Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation. The Journal of Chemical Physics, 132(16):164109, 2010. [ bib \| DOI \| http ]
[37]	G.A. Pavliotis, A.M. Stuart, and K.C. Zygalakis. Calculating effective diffusivities in the limit of vanishing molecular diffusion. Journal of Computational Physics, 228(4):1030 -- 1055, 2009. [ bib \| DOI \| http ]
[38]	G.A. Pavliotis, A.M. Stuart, and K.C. Zygalakis. Homogenization for inertial particles in a random flow. Commun. Math. Sci., 5(3):507--531, 09 2007. [ bib \| http ]

Last modified on April 24, 2020 by Konstantinos Zygalakis