کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629558 | 1340582 | 2012 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Time finite element methods: A unified framework for numerical discretizations of ODEs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We present a unified framework for the numerical discretization of ODEs based on time finite element methods. We relate time finite element methods to Runge-Kutta methods with infinitely many stages. By means of the corresponding numerical quadrature, we establish the relation between time finite element methods and (partitioned) Runge-Kutta methods. We also provide order estimates and superconvergence of the corresponding numerical methods in use of the simplifying assumptions. We apply time finite methods to Hamiltonian systems and investigate the conservation of energy and symplectic structure for the resulting numerical discretizations. For Hamiltonian systems, we also construct new classes of symplectic integrators by combining different time finite element methods and verify the results by performing some numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 4, 1 November 2012, Pages 2158-2179
Journal: Applied Mathematics and Computation - Volume 219, Issue 4, 1 November 2012, Pages 2158-2179
نویسندگان
Wensheng Tang, Yajuan Sun,