Zobrazeno 1 - 10
of 618
pro vyhledávání: '"Casas Fernando"'
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 achievements as well as the depiction of novel results. The standard class
Externí odkaz:
http://arxiv.org/abs/2410.13011
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 differential equations whose vector field is separated into three or more part
Externí odkaz:
http://arxiv.org/abs/2404.04340
We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, the Floquet--Magnus expansion for periodic systems, the quantum averagin
Externí odkaz:
http://arxiv.org/abs/2401.12955
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 the product expansion. In this scheme intermediate expansions can also
Externí odkaz:
http://arxiv.org/abs/2401.12952
The present work provides a comprehensive study of symmetric-conjugate operator splitting methods in the context of linear parabolic problems and demonstrates their additional benefits compared to symmetric splitting methods. Relevant applications in
Externí odkaz:
http://arxiv.org/abs/2401.04196
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 than the original system. Closely connected with this class of integrat
Externí odkaz:
http://arxiv.org/abs/2401.01722
We propose new linear combinations of compositions of a basic second-order scheme with appropriately chosen coefficients to construct higher order numerical integrators for differential equations. They can be considered as a generalization of extrapo
Externí odkaz:
http://arxiv.org/abs/2311.11581
The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial differential equations of Schr{\"o}dinger and parabolic type comprise the L
Externí odkaz:
http://arxiv.org/abs/2310.08969
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 in the unitary group. The schemes involve complex coefficients and are
Externí odkaz:
http://arxiv.org/abs/2303.10950
For systems of the form $\dot q = M^{-1} p$, $\dot p = -Aq+f(q)$, common in many applications, we analyze splitting integrators based on the (linear/nonlinear) split systems $\dot q = M^{-1} p$, $\dot p = -Aq$ and $\dot q = 0$, $\dot p = f(q)$. We sh
Externí odkaz:
http://arxiv.org/abs/2210.07048