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EnglishWe consider the application of symmetric Boundary Value Methods to linear autonomous Hamiltonian systems. The numerical approximation of the Hamiltonian function exhibits a superconvergence property, namely its order of convergence is p + 2 for a p order symmetric method. We exploit this result to define a natural projection procedure that slightly modifies the numerical solution so that, without changing the convergence properties of the numerical method, it provides orbits lying on the same quadratic manifold as the continuous ones. A numerical test is also reported.
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| Titolo: | Conservation properties of symmetric BVMs applied to linear Hamiltonian problems |
| Autori: | |
| Data di pubblicazione: | 2002 |
| Rivista: | |
| Abstract: | We consider the application of symmetric Boundary Value Methods to linear autonomous Hamiltonian systems. The numerical approximation of the Hamiltonian function exhibits a superconvergence property, namely its order of convergence is p + 2 for a p order symmetric method. We exploit this result to define a natural projection procedure that slightly modifies the numerical solution so that, without changing the convergence properties of the numerical method, it provides orbits lying on the same quadratic manifold as the continuous ones. A numerical test is also reported. |
| Handle: | http://hdl.handle.net/11586/1726 |
| ISBN: | 3-540-43594-8 |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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http://hdl.handle.net/11586/1726
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