کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638063 1631988 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs
چکیده انگلیسی

Theory of general linear methods (GLMs) for the numerical solution of autonomous system of ordinary differential equations of the form y′=f(y)y′=f(y) is extended to include the second derivative y″=g(y):=f′(y)f(y)y″=g(y):=f′(y)f(y). This extension of GLMs is called second derivative general linear methods (SGLMs). In this paper we will construct two-stage AA- and LL-stable SGLMs of order pp and stage order q=pq=p up to six with low error constants. We will show the efficiency of the proposed methods by implementing on some well-known stiff problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 303, September 2016, Pages 218–228
نویسندگان
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