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
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Order conditions for integrators and mappings with applications
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
نویسندگان
,