کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1137920 1489204 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A general formula for the stability functions of a group of implicit advanced step-point (IAS) methods
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
A general formula for the stability functions of a group of implicit advanced step-point (IAS) methods
چکیده انگلیسی

In this paper we introduce a new general formula that generates the stability functions of a group of methods, which the author has collectively named implicit advanced step-point (IAS) methods. This group of methods encompasses primarily the two implicit advanced step-point (TIAS) methods and the parallel implicit advanced step-point (PIAS) methods, but also the extended and modified extended BDF schemes (EBDF and MEBDF respectively). Furthermore we present, for the first time in a comprehensive way, the TIAS methods. To obtain the distinct stability functions for each of these implicit multistep methods is a quite time-consuming matter and thus an appropriate general formula can substantially facilitate stability analysis and further computational manipulation of these and analogous schemes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 46, Issues 1–2, July 2007, Pages 214–224
نویسندگان
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