Séminaires à venir
mer.
28
jan.
14:00
Adrien Lesage
Université de Picardie Jules Verne
Fourier Analysis and Domain Decomposition for Linear Dispersive PDEs
Séminaire doctorant
Résumé
After a brief introduction to Fourier and Laplace transform theory, we show how the Taylor expansion of the dispersion relation provides information about the direction of propagation and the spreading of initially spatially localized waves. We then discuss a domain decomposition algorithm of the linear BBM equation and explain how the dispersion relation appears in the optimization of its convergence speed.