research
∙
03/20/2023
Symmetric-conjugate splitting methods for linear unitary problems
We analyze the preservation properties of a family of reversible splitti...
share
research
∙
10/13/2022
A New Optimality Property of Strang's Splitting
For systems of the form q̇ = M^-1 p, ṗ = -Aq+f(q), common in many applic...
research
∙
07/19/2022
Magnus integrators for linear and quasilinear delay differential equations
A procedure to numerically integrate non-autonomous linear delay differe...
research
∙
07/15/2022
Split Hamiltonian Monte Carlo revisited
We study Hamiltonian Monte Carlo (HMC) samplers based on splitting the H...
research
∙
06/11/2021
High order integrators obtained by linear combinations of symmetric-conjugate compositions
A new family of methods involving complex coefficients for the numerical...
research
∙
03/18/2021
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation
We present a practical algorithm to approximate the exponential of skew-...
research
∙
01/11/2021
On symmetric-conjugate composition methods in the numerical integration of differential equations
We analyze composition methods with complex coefficients exhibiting the ...
research
∙
10/01/2020
Computing the matrix sine and cosine simultaneously with a reduced number of products
A new procedure is presented for computing the matrix cosine and sine si...
research
∙
06/11/2020
Composition Methods for Dynamical Systems Separable into Three Parts
New families of fourth-order composition methods for the numerical integ...
research
∙
05/26/2020
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
In this paper, we are concerned with the construction and analysis of a ...
research
∙
10/26/2019