3 papers
math.NA2026
On a class of modified Cayley--Magnus methods
Sergio Blanes, Fernando Casas, Arieh Iserles
We introduce a new class of numerical integrators for the time integration of non-autonomous linear ordinary differential equations whose coefficient matrix is sparse and evolves w…
astro-ph.SR2025
Reformulating polarized radiative transfer for astrophysical applications (I). A formalism allowing non-local Magnus solutions
E. S. Carlin, S. Blanes, F. Casas
The solar atmosphere is diagnosed by solving the polarized radiative transfer problem for plasmas in Non-Local Thermodynamic Equilibrium (NLTE). A key challenge in multidimensional…
math.NA2024
Splitting methods with complex coefficients for linear and nonlinear evolution equations
Sergio Blanes, Fernando Casas, Cesareo Gonzalez +1
This contribution is dedicated to the exploration of exponential operator splitting methods for the time integration of evolution equations. It entails the review of previous achie…