4 papers
Arboretum.hs: Symbolic manipulation for algebras of graphs
Eugen Bronasco, Jean-Luc Falcone, Gilles Vilmart
We design the Arboretumhs package for symbolic computations with algebras of trees and more general graphs in Haskell. Thanks to the declarative nature of functional programming…
Spectral Deferred Corrections in the framework of Runge-Kutta methods
Eugen Bronasco, Joscha Fregin, Daniel Ruprecht +1
We interpret a wide range of flavors of Spectral Deferred Corrections (SDC) as Runge-Kutta methods (RKM). Using Butcher series, we show that the considered class of SDC methods ach…
High order integration of stochastic dynamics on Riemannian manifolds with frozen flow methods
Eugen Bronasco, Adrien Busnot Laurent, Baptiste Huguet
We present a new class of numerical methods for solving stochastic differential equations with additive noise on general Riemannian manifolds with high weak order of accuracy. In o…
Efficient Langevin sampling with position-dependent diffusion
Eugen Bronasco, Benedict Leimkuhler, Dominic Phillips +1
We introduce a numerical method for Brownian dynamics with position dependent diffusion tensor which is second order accurate for sampling the invariant measure while requiring onl…