1 citations · 2 across the 6 of their papers we have counts for
6 papers
Efficient scaling and squaring method for the matrix exponential
Sergio Blanes, Nikita Kopylov, Muaz Seydaoğlu
This work presents a new algorithm to compute the matrix exponential within a given tolerance. Combined with the scaling and squaring procedure, the algorithm incorporates Taylor,…
Families of efficient low order processed composition methods
Sergio Blanes, Fernando Casas, Alejandro Escorihuela-Tomàs
New families of composition methods with processing of order 4 and 6 are presented and analyzed. They are specifically designed to be used for the numerical integration of differen…
Symmetric-conjugate splitting methods for evolution equations of parabolic type
Sergio Blanes, Fernando Casas, Cesáreo González +1
The present work provides a comprehensive study of symmetric-conjugate operator splitting methods in the context of linear parabolic problems and demonstrates their additional bene…
Splitting Methods for differential equations
Sergio Blanes, Fernando Casas, Ander Murua
This overview is devoted to splitting methods, a class of numerical integrators intended for differential equations that can be subdivided into different problems easier to solve t…
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
Sergio Blanes, Fernando Casas, Cesáreo González +1
The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial diffe…
Symmetric-conjugate splitting methods for linear unitary problems
Joackim Bernier, Sergio Blanes, Fernando Casas +1
We analyze the preservation properties of a family of reversible splitting methods when they are applied to the numerical time integration of linear differential equations defined…