کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776630 | 1632155 | 2017 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
IMEX peer methods for fast-wave-slow-wave problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: IMEX peer methods for fast-wave-slow-wave problems IMEX peer methods for fast-wave-slow-wave problems](/preview/png/5776630.png)
چکیده انگلیسی
Differential equations with both stiff and nonstiff parts can be solved efficiently by implicit-explicit (IMEX) methods. There have been considered various approaches in the literature. In this paper we introduce IMEX peer methods. We show that the combination of s-stage explicit and implicit peer methods, both of order p, gives an IMEX peer method of the same order. We construct methods of order p=s for s=3,4, where we compute the free parameters numerically to give good stability with respect to fast-wave-slow-wave problems from weather prediction. We implement these methods with and without step size control. Tests and comparisons with other methods for problems mostly from weather prediction show the high potential of IMEX peer methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 118, August 2017, Pages 221-237
Journal: Applied Numerical Mathematics - Volume 118, August 2017, Pages 221-237
نویسندگان
Behnam Soleimani, Oswald Knoth, Rüdiger Weiner,