[EN] We consider the numerical integration of the Gross-Pitaevskii equation with a potential trap given by a time-dependent harmonic potential or a small perturbation thereof. Splitting methods are frequently used with ...
Montés Sánchez, Nicolás; Chinesta Soria, Francisco José; Mora Aguilar, Marta Covadonga; Falcó, Antonio; Hilario Pérez, Lucía; Rosillo Guerrero, Nuria; Nadal, Enrique(MDPI AG, 2021-06)
[EN] This paper presents a real-time global path planning method for mobile robots using harmonic functions, such as the Poisson equation, based on the Proper Generalized Decomposition (PGD) of these functions. The main ...
Jorda Mora, Enrique; Zarco García, Ana María(Springer Verlag, 2014-09)
We study Banach spaces of harmonic functions on open sets of or endowed with weighted supremum norms. We investigate the harmonic associated weight defined naturally as the analogue of the holomorphic associated weight ...