TY - BOOK AU - Fornberg,Bengt TI - A practical guide to pseudospectral methods T2 - Cambridge monographs on applied and computational mathematics SN - 9780511626357 (ebook) AV - QA320 .F65 1996 U1 - 515/.7242 20 PY - 1996/// CY - Cambridge PB - Cambridge University Press KW - Spectral theory (Mathematics) KW - Finite differences N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of numerical solution), in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting. This book explains how, when and why this pseudospectral approach works. In order to make the subject accessible to students as well as researchers and engineers, the subject is presented using illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. This book will be of interest to graduate students, scientists and engineers interested in applying pseudospectral methods to real problems UR - https://doi.org/10.1017/CBO9780511626357 ER -