2.1k citations
- Centre National de la Recherche ScientifiqueFR63 papers
- Universidad de BurgosES37 papers
- Universitat de ValènciaES32 papers
- Universidad de SalamancaES28 papers
- Ankara UniversityTR27 papers
- Universidad Autónoma de MadridES26 papers
- University of the Basque CountryES26 papers
- Universidad Complutense de MadridES25 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR23 papers
- Consejo Superior de Investigaciones CientíficasES22 papers
- Universidad de La LagunaES22 papers
- Universidad de ZaragozaES22 papers
18 papers · 1 filter
Petviashvili type methods for traveling wave computations: I. Analysis of convergence
J. Alvarez, A. Duran
In this paper a family of fixed point algorithms for the numerical resolution of some systems of nonlinear equations is designed and analyzed. The family introduced here generalize…
Intermittent Giant Goos-Hanchen shifts from Airy beams at nonlinear interfaces
Pedro Chamorro-Posada, Julio Sánchez-Curto, Alejandro B. Aceves +1
We study the giant Goos-Hanchen shift obtained from an Airy beam impinging on a nonlinear interface. To avoid any angular restriction associated with the paraxial approximation, th…
An extended Petviashvili method for the numerical generation of traveling and localized waves
J. Alvarez, A. Duran
A family of fixed-point iterations is proposed for the numerical computation of traveling waves and localized ground states. The methods are extended versions of Petviashvili type,…
The empirical cost of optimal incomplete transportation
Eustasio del Barrio, Carlos Matrán
We consider the problem of optimal incomplete transportation between the empirical measure on an i.i.d. uniform sample on the d-dimensional unit cube and the true measure…
A note on Gorenstein monomial curves
Philippe Gimenez, Hema Srinivasan
Let be an arbitrary field. In this note, we show that if a sequence of relatively prime positive integers defines a Gorenstein non complete intersec…
Numerical resolution of algebraic equations with symmetries
J. Alvarez, A. Duran
Studied here is the effect of the presence of symmetry groups in a system of algebraic equations on the numerical resolution with fixed-point algorithms. It is proved that the symm…