کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626293 1631784 2015 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Energy conservation issues in the numerical solution of the semilinear wave equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Energy conservation issues in the numerical solution of the semilinear wave equation
چکیده انگلیسی

In this paper we discuss energy conservation issues related to the numerical solution of the semilinear wave equation. As is well known, this problem can be cast as a Hamiltonian system that may be autonomous or not, depending on the prescribed boundary conditions. We relate the conservation properties of the original problem to those of its semi-discrete version obtained by the method of lines. Subsequently, we show that the very same properties can be transferred to the solutions of the fully discretized problem, obtained by using energy-conserving methods in the HBVMs (Hamiltonian Boundary Value Methods) class. Similar arguments hold true for different types of Hamiltonian partial differential equations, e.g., the nonlinear Schrödinger equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 270, 1 November 2015, Pages 842–870
نویسندگان
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