All Outputs (2)

Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation (2021)
Journal Article
Deligiannidis, G., Maurer, S., & Tretyakov, M. V. (2021). Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation. BIT Numerical Mathematics, 61(4), 1223-1269. https://doi.org/10.1007/s10543-021-00863-2

We consider stochastic differential equations driven by a general Lévy processes (SDEs) with infinite activity and the related, via the Feynman–Kac formula, Dirichlet problem for parabolic integro-differential equation (PIDE). We approximate the solu... Read More about Random walk algorithm for the Dirichlet problem for parabolic integro-differential equation.

Mutation and Selection in Bacteria: Modelling and Calibration (2018)
Journal Article
Bayliss, C. D., Fallaize, C., Howitt, R., & Tretyakov, M. V. (2019). Mutation and Selection in Bacteria: Modelling and Calibration. Bulletin of Mathematical Biology, 81(3), 639-675. https://doi.org/10.1007/s11538-018-0529-9

© 2018, The Author(s). Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data ca... Read More about Mutation and Selection in Bacteria: Modelling and Calibration.