Special Session 134: 

Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg--de Vries equation

Yajuan Sun
AMSS, CAS
Peoples Rep of China
Co-Author(s):    Luigi Brugnano, Gianmarco Gurioli
Abstract:
In this talk, the energy-preserving numerical methods for the Korteweg--de Vries equation are studied by combining HBVM (Hamiltonian Boundary Value method) in time and Fourier-Galerkin discretization in space. The efficient implementation of the methods for the resulting problem is considered. Also the numerical errors of solutions and conservative quantities are reported.