6 citations · 6 across the 8 of their papers we have counts for
9 papers
Error bounds for the truncated Baker--Campbell--Hausdorff and Zassenhaus formulas in unitary problems
A. Arnal, F. Casas, J. L. Ruiz-Benito
The Baker--Campbell--Hausdorff (BCH) formula plays a critical role in many branches of mathematics and physics. It expresses the logarithm of the product of exponentials of non-com…
Bezier surfaces with prescribed diagonals
A. Arnal, J. Monterde
The affine space of all tensor product Bézier patches of degree nxn with prescribed main diagonal curves is determined. First, the pair of Bézier curves which can be diagonals of a…
Exponential perturbative expansions and coordinate transformations
Ana Arnal, Fernando Casas, Cristina Chiralt
We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, th…
A unifying framework for perturbative exponential factorizations
Ana Arnal, Fernando Casas, Cristina Chiralt
We propose a framework where Fer and Wilcox expansions for the solution of differential equations are derived from two particular choices for the initial transformation that seeds…
Magnus integrators for linear and quasilinear delay differential equations
Ana Arnal, Fernando Casas, Cristina Chiralt
A procedure to numerically integrate non-autonomous linear delay differential equations is presented. It is based on the use of an spectral discretization of the delayed part to tr…
A note on the Baker--Campbell--Hausdorff series in terms of right-nested commutators
Ana Arnal, Fernando Casas, Cristina Chiralt
We get compact expressions for the Baker--Campbell--Hausdorff series $Z = \log(\e^X \, \e^Y)$ in terms of right-nested commutators. The reduction in the number of terms originates…