کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422489 1632010 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Crank-Nicolson Leapfrog stabilization: Unconditional stability and two applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A Crank-Nicolson Leapfrog stabilization: Unconditional stability and two applications
چکیده انگلیسی

We propose and analyze a linear stabilization of the Crank-Nicolson Leapfrog (CNLF) method that removes all time step/CFL conditions for stability and controls the unstable mode. It also increases the SPD part of the linear system to be solved at each time step while increasing solution accuracy. We give a proof of unconditional stability of the method as well as a proof of unconditional, asymptotic stability of both the stable and unstable modes. We illustrate two applications of the method: uncoupling groundwater-surface water flows and Stokes flow plus a Coriolis term.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 281, June 2015, Pages 263-276
نویسندگان
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