HBVMs Homepage
Hamiltonian Boundary Value Methods 
(HBVMs)   

Energy Preserving Discrete Line Integral Methods

Hamiltonian BVMs (HBVMs) constitute a class of energy-preserving methods for the numerical solution of canonical Hamiltonian systems, i.e., problems in the form:

where  J  is a constant skew-symmetric matrix, and  H(y)  is the Hamiltonian function. Such methods are able to preserve, in the numerical solution, the value of the Hamiltonian function, as it happens for the continuous one.  Hereafter, are the main facts about HBVMs:
  1. Basic Facts about HBVMs
  2. Some Numerical Tests
  3. Infinity HBVMs
  4. Isospectral Property of HBVMs and their connections with RK collocation methods    
  5. Blended HBVMs
  6. Notes and References (downloadable)    
  7. Matlab Codes                              
  8. HBVMs Test Gallery                 NEW  (updated April 12, 2011)
  9. Contacts
  10. Recent developments               NEW  (updated March 28, 2012)
Last modified on    2010-06-30   by    BIT  (Luigi Brugnano, Felice Iavernaro, Donato Trigiante).