Brugnano / Iavernaro Line Integral Methods for Conservative Problems

Erscheinungsjahr 2015
ISBN: 978-1-4822-6385-5
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 240 Seiten

Reihe: Monographs and Research Notes in Mathematics

This book provides an introduction to a new class of numerical methods for conservative problems, the line integral methods. This is a very active field of investigation that deals with the geometrical properties of the discrete vector field induced by numerical methods. The key idea explores the relationship between the method itself and the discrete line integral. This tool has produced the new Hamiltonian boundary value methods for the efficient numerical solution of Hamiltonian problems and encompasses other new methods.

Autoren/Hrsg.

Brugnano, Luigi

Iavernaro, Felice

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme

Inhaltsverzeichnis

Geometric Integration. Background Results. A Framework for HBVMs. Implementation of the Methods. Line Integral Methods. Further Developments and References.