Non-linear Gross-Pitaevskii dynamics of a 2D binary condensate: a numerical analysis

Autor: Alessandro Michelangeli, Giuseppe Pitton

Publikováno v: Rendiconti di Matematica e delle Sue Applicazioni, Vol 39, Pp 347-362 (2018)

We present a numerical study of the two-dimensional Gross-Pitaevskii systems in a wide range of relevant regimes of population ratios and intra-species and inter-species interactions. Our numerical method is based on a Fourier collocation scheme in s

Externí odkaz: https://doaj.org/article/12acf9e39a1c451c93141e48a384beb4

Singularity formation as a wetting mechanism in a dispersionless water wave model

Autor: Giovanni Ortenzi, Gregorio Falqui, Giuseppe Pitton, Roberto Camassa, Marco Pedroni

Publikováno v: Nonlinearity

The behavior of a class of solutions of the shallow water Airy system originating from initial data with discontinuous derivatives is considered. Initial data are obtained by splicing together self-similar parabolae with a constant background state.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d36ed929233a1c02ffa0104d68d07025
https://doi.org/10.1088/1361-6544/ab2a1a

Spatial structure of shock formation

Autor: Miguel A. Herrada, Jens Eggers, Tamara Grava, Giuseppe Pitton

Publikováno v: Eggers, J, Grava, T, Herrada, M & Pitton, G 2017, ' Spatial structure of shock formation ', Journal of Fluid Mechanics, vol. 820, pp. 208-231 . https://doi.org/10.1017/jfm.2017.205

The formation of a singularity in a compressible gas, as described by the Euler equation, is characterized by the steepening and eventual overturning of a wave. Using self-similar variables in two space dimensions and a power series expansion based o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc7a9034d7350df1f8f7ea3e34fe30a9
https://doi.org/10.1017/jfm.2017.205

Numerical study of the Kadomtsev–Petviashvili equation and dispersive shock waves

Autor: Tamara Grava, Christian Klein, Giuseppe Pitton

Publikováno v: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2018, 474 (2210), 〈10.1098/rspa.2017.0458〉
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2018, 474 (2210), ⟨10.1098/rspa.2017.0458⟩
Grava, T, Klein, C & Pitton, G 2018, ' Numerical study of the Kadomtsev Petviashvili equation and dispersive shock waves ', Proceedings of the Royal Society A: Mathematical and Physical Sciences, vol. 474, no. 2210, 20170458 . https://doi.org/10.1098/rspa.2017.0458

A detailed numerical study of the long time behaviour of dispersive shock waves in solutions to the Kadomtsev-Petviashvili (KP) I equation is presented. It is shown that modulated lump solutions emerge from the dispersive shock waves. For the descrip

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a1bfebcff90b28ec396667ad4d87b75
https://hal.archives-ouvertes.fr/hal-01757833

Accelerating the iterative solution of convection-diffusion problems using singular value decomposition

Autor: Luca Heltai, Giuseppe Pitton

Publikováno v: Numerical Linear Algebra with Applications. 26:e2211

The discretization of convection-diffusion equations by implicit or semi-implicit methods leads to a sequence of linear systems usually solved by iterative linear solvers such as GMRES. Many techniques bearing the name of \emph{recycling Krylov space

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1272460f129dcb2a30cf7866aef67302
https://doi.org/10.1002/nla.2211