ABSTRACT

Line Integral Methods for Conservative Problems explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the continuous vector field. The book focuses on a large

chapter 1|50 pages

A primer on line integral methods

chapter 2|30 pages

Examples of Hamiltonian problems

chapter 5|26 pages

Hamiltonian Partial Differential Equations

chapter 6|28 pages

Extensions