کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
470104 | 698393 | 2007 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Error analysis of variable stepsize Runge–Kutta methods for a class of multiply-stiff singular perturbation problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Error analysis of variable stepsize Runge–Kutta methods for a class of multiply-stiff singular perturbation problems Error analysis of variable stepsize Runge–Kutta methods for a class of multiply-stiff singular perturbation problems](/preview/png/470104.png)
چکیده انگلیسی
In this paper, we present some results on the error behavior of variable stepsize stiffly-accurate Runge–Kutta methods applied to a class of multiply-stiff initial value problems of ordinary differential equations in singular perturbation form, under some weak assumptions on the coefficients of the considered methods. It is shown that the obtained convergence results hold for stiffly-accurate Runge–Kutta methods which are not algebraically stable or diagonally stable. Some results on the existence and uniqueness of the solution of Runge–Kutta equations are also presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 53, Issue 12, June 2007, Pages 1854–1866
Journal: Computers & Mathematics with Applications - Volume 53, Issue 12, June 2007, Pages 1854–1866
نویسندگان
Ai-Guo Xiao,