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EnglishA new method for the numerical simulation of the so-called soliton dynamics arising in a nonlinear Schroedinger equation in the semi-classical regime is proposed. For the time discretization a classical fourth-order splitting method is used. For the spatial discretization, however, a meshfree method is employed in contrast to the usual choice of (pseudo) spectral methods. This approach allows to keep the degrees of freedom almost constant as the semi-classical parameter becomes small. This behavior is confirmed by numerical experiments.
http://hdl.handle.net/11562/492556| Titolo: | A Meshfree Splitting Method for Soliton Dynamics in Nonlinear Schroedinger Equations |
| Autori interni: | CALIARI, Marco |
| Data di pubblicazione: | 2013 |
| Rivista: | LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING |
| Abstract: | A new method for the numerical simulation of the so-called soliton dynamics arising in a nonlinear Schroedinger equation in the semi-classical regime is proposed. For the time discretization a classical fourth-order splitting method is used. For the spatial discretization, however, a meshfree method is employed in contrast to the usual choice of (pseudo) spectral methods. This approach allows to keep the degrees of freedom almost constant as the semi-classical parameter becomes small. This behavior is confirmed by numerical experiments. |
| Handle: | http://hdl.handle.net/11562/492556 |
| Appare nelle tipologie: | 04.01 Contributo in atti di convegno |
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