Hamiltonian integration methods for the Vlasov-Maxwell equations aredeveloped by a Hamiltonian splitting technique. The Hamiltonian functional issplit into five parts, i.e., the electrical energy, the magnetic energy, andthe kinetic energy in three Cartesian components. Each of the subsystems is aHamiltonian system with respect to the Morrison-Marsden-Weinstein Poissonbracket and can be solved exactly. Compositions of the exact solutions yieldPoisson structure preserving, or Hamiltonian, integration methods for theVlasov-Maxwell equations, which have superior long-term fidelity and accuracy.
展开▼
