4 citations · 5 across the 8 of their papers we have counts for
8 papers
Convergence analysis of generalized modified splitting methods using multi-index series
Eugen Bronasco, Mechthild Thalhammer
We consider splitting methods for partial differential equations involving unbounded operators. For non-time-reversible dynamics, such as dissipative systems, negative splitting co…
Backward error analysis for matrix discretizations of 2-D Euler equations
Eugen Bronasco, Klas Modin
We introduce a formalism of Lie--Poisson reduction of Butcher series. The corresponding forest momentum map allows for describing backward error analysis of isospectral symplectic…
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…
Order jumps in Spectral Deferred Corrections
Eugen Bronasco, Joscha Fregin, Daniel Ruprecht +1
Spectral deferred corrections (SDC) are time-stepping schemes were a low-order integrator is used iteratively to produce a higher order numerical approximation. SDC methods are wel…
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…
Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations
Eugen Bronasco, Adrien Laurent
While backward error analysis does not generalise straightforwardly to the strong and weak approximation of stochastic differential equations, it extends for the sampling of ergodi…
Exotic B-series and S-series: algebraic structures and order conditions for invariant measure sampling
Eugen Bronasco
B-series and generalizations are a powerful tool for the analysis of numerical integrators. An extension named exotic aromatic B-series was introduced to study the order conditions…