Luigi Brugnano, Felice Iavernaro

Line Integral Methods for Conservative Problems

• Gebundenes Buch

Produktbeschreibung

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® codes for implementing the methods are available online.

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 240
• Erscheinungstermin: 26. Oktober 2015
• Englisch
• Abmessung: 231mm x 155mm x 15mm
• Gewicht: 386g
• ISBN-13: 9781482263848
• ISBN-10: 148226384X
• Artikelnr.: 42791494

Autorenporträt

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.

Inhaltsangabe

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.