کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844411 | 908589 | 2007 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Order conditions for integrators and mappings with applications
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We regard the elementary weight function as a mapping from input to output, so that the mappings allow us to derive the order conditions for a given method more easily and concisely. This paper presents the order conditions of one-step Runge-Kutta methods, Runge-Kutta-type methods with derivatives, a class of two-step Runge-Kutta methods and three-step Runge-Kutta methods, based on the elementary weight mappings, the composition formula of two mappings as well as the mappings I,Dr,E(ν) defined on the set T of all rooted trees from an input to an output. It is pointed out that the order conditions can be easily achieved for linear multistep methods, and second-derivative linear multistep methods of order p, and it suffices to consider only bushy trees of order up to p together with the empty tree 0̸ for a linear multistep method, or a second-derivative linear multistep method of order p.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 9, 1 November 2007, Pages 2589-2608
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 9, 1 November 2007, Pages 2589-2608
نویسندگان
Xinyuan Wu,