Geometric Numerical Integration and Schrodinger Equations (Zurich Lectures in Advanced Mathematics)
By Erwan Faou.
Description
The goal of geometric numerical integration is the simulation of evolution equations possessing geometric properties over long periods of time. Of particular importance are Hamiltonian partial differential equations typically arising in application fields such as quantum mechanics or wave propagation phenomena. They exhibit many important dynamical features such as energy preservation and conservation of adiabatic invariants over long periods of time. In this setting, a natural question is how and to which extent the reproduction of such long-time qualitative behavior can be ensured by nume...
ISBN(s)
3037191007, 9783037191002
