کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642770 1632056 2007 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical stability analysis of an acceleration scheme for step size constrained time integrators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical stability analysis of an acceleration scheme for step size constrained time integrators
چکیده انگلیسی

Time integration schemes with a fixed time step, much smaller than the dominant slow time scales of the dynamics of the system, arise in the context of stiff ordinary differential equations or in multiscale computations, where a microscopic time-stepper is used to compute macroscopic behaviour. We discuss a method to accelerate such a time integrator by using extrapolation. This method extends the scheme developed by Sommeijer [Increasing the real stability boundary of explicit methods, Comput. Math. Appl. 19(6) (1990) 37–49], and uses similar ideas as the projective integration method. We analyse the stability properties of the method, and we illustrate its performance for a convection–diffusion problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 200, Issue 2, 15 March 2007, Pages 761–777
نویسندگان
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