کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
570003 876703 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Collocation methods: More efficient procedures for applying collocation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزار
پیش نمایش صفحه اول مقاله
Collocation methods: More efficient procedures for applying collocation
چکیده انگلیسی

In recent years, new and more effective procedures for applying collocation have been published. This article is devoted to present a revision of this subject and complement its developments. From the general theory two broad approaches are derived, which yield the direct and the indirect TH-collocation methods. The former approach had not been published before, and it is a dual of the indirect approach. In particular, second order differential equations of elliptic type are considered and several orthogonal collocation algorithms are developed for them. In TH-collocation, the approximations on the internal boundary and in the subdomain interiors are completely independent. This yields clear computational advantages that are illustrated through the construction of such algorithms. In the implementations presented, three dimensional problems are included. In passing, single-point-collocation methods that have been the subject of several recent publications are revised.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Engineering Software - Volume 38, Issue 10, October 2007, Pages 657–667
نویسندگان
, , ,