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Pro-C congruence properties for groups of rooted tree automorphisms
(Archiv der Mathematik, 2018-11-21)
We propose a generalisation of the congruence subgroup problem for groups acting on rooted trees.
Instead of only comparing the profinite completion to that given by level stabilizers, we also compare pro-$\mathcal{C}$ ...
Multi-GGS groups have the congruence subgroup property
(Proceedings of the Edinburgh Mathematical Society, 2018-11-08)
We generalize the result about the congruence subgroup property for GGS-groups to the family of multi-GGS-groups; that is, all multi-GGS-groups except the one defined by the constant vector have the congruence subgroup ...
Optimized Schwarz Methods in the Stokes-Darcy Coupling
(IMA J. Num. Analysis 38 (4), 2018-10-16)
This article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin transmission conditions are introduced, and the coupled problem is reduced to a suitable interface system that can be solved using Krylov ...
A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces
(Journal of Computational Physics, 2018-10)
The closest point method (Ruuth and Merriman, J. Comput. Phys. 227(3):1943-1961, [2008]) is an embedding method developed to solve a variety of partial differential equations (PDEs) on smooth surfaces, using a closest point ...
No Time at the End of the Tunnel
(Communications Physics – Nature, 2018-08-21)
Modern atto-second experiments seek to provide an insight into a long standing question: “how much time does a tunnelling particle spend in the barrier?” Traditionally, quantum theory relates this duration to the delay ...
Qualitative analysis of kinetic-based models for tumor-immune system interaction
(Discrete and Continuous Dynamical Systems - Series B, 2018-08)
A mathematical model, based on a mesoscopic approach, describing the competition between tumor cells and immune system in terms of kinetic integro-differential equations is presented. Four interacting populations are ...
Multi-stage splitting integrators for sampling with modified Hamiltonian Monte Carlo methods
(Journal of Computational Physics, 2018-07-17)
Modified Hamiltonian Monte Carlo (MHMC) methods combine the ideas behind two popular sampling approaches: Hamiltonian Monte Carlo (HMC) and importance sampling. As in the HMC case, the bulk of the computational cost of ...
Transitions between bursting modes in the integrated oscillator model for pancreatic β-cells
(Journal of Theoretical Biology, 2018-06-20)
Insulin-secreting $\beta$-cells of pancreatic islets of Langerhans produce bursts of electrical impulses, resulting in intracellular Ca$^{2+}$ oscillations and pulsatile insulin secretion. The mechanism for this bursting ...
Probabilistic Modelling of Classical and Quantum Systems
(2018-06-14)
While probabilistic modelling has been widely used in the last decades, the quantitative prediction in stochastic modelling of real physical problems remains a great challenge and requires sophisticated mathematical models ...
Adapting Hybrid Monte Carlo methods for solving complex problems in life and materials sciences
(2018-05-11)
Efficient sampling is the key to success of molecular simulation of complex physical systems. Still, a unique recipe for achieving this goal is unavailable. Hybrid Monte Carlo (HMC) is a promising sampling tool offering a ...