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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs](/preview/png/4638063.png)
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
Journal: Journal of Computational and Applied Mathematics - Volume 303, September 2016, Pages 218–228
نویسندگان
A. Abdi,