Line Integral Methods for Conservative Problems

By Luigi Brugnano and Felice Iavernaro

Book Overview

This self-contained book 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 set of differential systems named conservative problems, particularly Hamiltonian systems. It covers the energy-conserving Runge-Kutta methods and discusses generalizations of them. MATLAB(R) codes for implementing the methods are available online.

• Format: Paperback
• Language: English
• ISBN: 0367377306
• ISBN13: 9780367377304
• Release Date: September 2019
• Publisher: CRC Press
• Length: 240 Pages
• Weight: 0.85 lbs.
• Dimensions: 0.5" x 6.0" x 9.2"