کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
512806 | 866430 | 2013 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Conservative multiquadric quasi-interpolation method for Hamiltonian wave equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Hamiltonian PDEs have some invariant quantities such as energy and momentum, etc., which should be well conserved with the numerical integration. In this paper we concentrate on the nonlinear wave equation. We study how a space discretization by using multiquadric quasi-interpolation method makes the space discretized system also possess some invariants which are good approximation of the continuous energy. Then, appropriate symplectic scheme is employed for the integration of the semi-discretized system. Theoretical results show that the proposed method has not only high order accuracy but also good properties of long-time tracking capability. Some numerical examples are presented to demonstrate the effectiveness of the proposed method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 37, Issues 7–8, July–August 2013, Pages 1052–1058
Journal: Engineering Analysis with Boundary Elements - Volume 37, Issues 7–8, July–August 2013, Pages 1052–1058
نویسندگان
Zongmin Wu, Shengliang Zhang,