num_pages: 660
description: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents a theory of symplectic and symmetric methods, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.
language: English
title: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
titlecomplete: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics, 31)
genres: Mathematics
ratings_count: 9
publisher: Springer