Numerical Hamiltonian Problems

This advanced text explores a category of mathematical problems that occur frequently in physics and other sciences. Five preliminary chapters make the book accessible to students without extensive background in this area. Topics include Hamiltonian systems, symplecticness, numerical methods, order conditions, and implementation. The heart of the book, chapters 6 through 10, explores simplistic integration, simplistic order conditions, available simplistic methods, numerical experiments, and properties of simplistic integrators. The final four chapters contain material that is more advanced: generating functions, Lie formalism, high-order methods, and extensions. Many numerical examples appear throughout the text.