نوع مقاله : مقاله مروری
نویسنده
دانشکده مهندسی عمران، دانشگاه آزاد اسلامی واحد اصفهان (خوراسگان)، اصفهان، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسنده [English]
Interpolation and approximation are the most important parts of partial differential equation solution procedures, which significantly affect the cost and the accuracy of the results. This paper is aimed to exhaustively investigate the interpolation algorithms and trace their chronologically developments. The interpolation methods are classified based on their mathematical representation, and then surveyed separately. An abridgement of calculation steps of methods are presented and for details, the reader is referred by the main references. The usage records in applied science and engineering are included and their numerical dominance, stability and convergence rate are discussed
کلیدواژهها [English]