Sökning: "symplectic Runge-Kutta integrators"

Hittade 1 avhandling innehållade orden symplectic Runge-Kutta integrators.

1. 1. Geometric discretization for incompressible magnetohydrodynamics on the sphere

   Författare :Michael Roop; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lie-Poisson structure; magnetohydrodynamics; Hamiltonian dynamics; magnetic extension; Casimirs; symplectic Runge-Kutta integrators;

   Sammanfattning : Many physical processes are modelled by partial differential equations (PDE), and their efficient discretization is still a challenging problem and an actively developing field. An important class of models arising in mathematical physics represents PDEs formulated in terms of a Lie-Poisson structure on the dual of infinite-dimensional Lie algebras, such as the Lie algebra of vector fields. LÄS MER