4 papers
D-splitting methods: 2N -storage embedded explicit pseudo-geometric Runge-Kutta methods using splitting methods
Sergio Blanes, Alejandro Escorihuela-Tomà s
Low-storage explicit Runge-Kutta schemes are particularly popular for the numerical integration of time-dependent partial differential equations based on the method-of-lines due to…
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…
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…
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…