کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634105 1340686 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On multisymplecticity of Sinc-Gauss-Legendre collocation discretizations for some Hamiltonian PDEs
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On multisymplecticity of Sinc-Gauss-Legendre collocation discretizations for some Hamiltonian PDEs
چکیده انگلیسی
In this paper, a new multisymplectic scheme based on Sinc collocation discretization in space and Gauss-Legendre collocation discretization in time for some Hamiltonian PDEs is developed. The scheme preserves the multisymplectic geometry structure exactly by satisfying the discrete multisymplectic conservation law. Moreover, the discrete energy and momentum conservative properties of the multisymplectic integrator are also discussed. In order to testify the superiority of the multisymplectic method, it is applied to nonlinear Dirac equation. Numerical experiments are given to illustrate the accuracy of the approximation and the conserved quantities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 199, Issue 1, 15 May 2008, Pages 105-121
نویسندگان
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