1st Edition

Line Integral Methods for Conservative Problems

By Luigi Brugnano, Felice Iavernaro Copyright 2016
240 Pages
by Chapman & Hall

240 Pages
by Chapman & Hall

240 Pages
by Chapman & Hall

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 set of differential systems named conservative... Read more

A Primer on Line Integral Methods. Examples of Hamiltonian Problems. Analysis of Hamiltonian Boundary Value Methods (HBVMs). Implementing the Methods and Numerical Illustrations. Hamiltonian Partial Differential Equations. Extensions. Appendix. Bibliography. Index.

Biography

Luigi Brugnano is a full professor of numerical analysis and chairman of the mathematics courses in the Department of Mathematics and Informatics at the University of Firenze. He is a member of several journal editorial boards. His research interests include matrix conditioning/preconditioning, parallel computing, computational fluid dynamics, numerical methods, iterative methods, geometric integration, and mathematical modeling and software.



Felice Iavernaro is an associate professor of numerical analysis in the Department of Mathematics at the University of Bari. His primary interests include the design and implementation of efficient methods for the numerical solution of differential equations, particularly for the simulation of dynamical systems with geometric properties.