کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776091 | 1631966 | 2017 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Conservative integrators for a toy model of weak turbulence
ترجمه فارسی عنوان
انتگرال های محافظه کار برای یک مدل اسباب بازی آشفتگی ضعیف
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
In the process of studying the conjecture, Colliander, Keel, Staffilani, Takaoka, and Tao introduced a “toy model” dynamical system as an approximation of NLS, which has been subsequently studied numerically. In this work, we formulate and examine several numerical schemes for integrating this model equation. The model has two invariants, and our schemes aim to conserve at least one of them. We prove convergence in some cases, and our numerical studies show that the schemes compare favorably to others, such as Trapezoidal Rule and fixed step fourth order Runge-Kutta. The preservation of the invariants is particularly important in the study of weak turbulence as the energy transfer tends to occur on long time scales.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 325, 1 December 2017, Pages 113-124
Journal: Journal of Computational and Applied Mathematics - Volume 325, 1 December 2017, Pages 113-124
نویسندگان
Aquil D. Jones, Gideon Simpson, William Wilson,