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Implementing Spectral Methods for Partial Differential Equations: Algorithms for

Description: Implementing Spectral Methods for Partial Differential Equations by David A. Kopriva Estimated delivery 3-12 business days Format Paperback Condition Brand New Description This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries. Publisher Description This book is aimed to be both a textbook for graduate students and a starting point for applicationsscientists. It is designedto show how to implementspectral methods to approximate the solutions of partial differential equations. It presents a syst- atic development of the fundamental algorithms needed to write spectral methods codes to solve basic problems of mathematical physics, including steady potentials, transport, and wave propagation. As such, it is meant to supplement, not replace, more general monographs on spectral methods like the recently updated "Spectral Methods: Fundamentals in Single Domains" and "Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics" by Canuto, Hussaini, Quarteroni and Zang, which provide detailed surveys of the variety of methods, their performance and theory. I was motivated by comments that I have heard over the years that spectral me- ods are "too hard to implement." I hope to dispel this view-or at least to remove the "too". Although it is true that a spectral code is harder to hack together than a s- ple ?nite difference code (at least a low order ?nite difference method on a square domain), I show that only a few fundamental algorithms for interpolation, differen- ation, FFT and quadrature-the subjects of basic numerical methods courses-form the building blocks of any spectral code, even for problems in complex geometries.Ipresentthealgorithmsnotonlytosolveproblemsin1D,but2Daswell,toshowthe ?exibility of spectral methods and to make as straightforward as possible the tr- sition from simple, exploratory programs that illustrate the behavior of the methods to application programs. Author Biography David Kopriva is Professor of Mathematics at the Florida State University, where he has taught since 1985. He is an expert in the development, implementation and application of high order spectral multi-domain methods for time dependent problems. In 1986 he developed the first multi-domain spectral method for hyperbolic systems, which was applied to the Euler equations of gas dynamics. Details ISBN 9048184843 ISBN-13 9789048184842 Title Implementing Spectral Methods for Partial Differential Equations Author David A. Kopriva Format Paperback Year 2010 Pages 397 Publisher Springer GE_Item_ID:137615236; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys

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ISBN-13: 9789048184842

Book Title: Implementing Spectral Methods for Partial Differential Equations

Number of Pages: Xviii, 397 Pages

Publication Name: Implementing Spectral Methods for Partial Differential Equations : Algorithms for Scientists and Engineers

Language: English

Publisher: Springer Netherlands

Subject: Differential Equations / General, Applied, Mathematical Analysis

Publication Year: 2010

Item Weight: 23 Oz

Type: Textbook

Subject Area: Mathematics

Item Length: 9.3 in

Author: David A. Kopriva

Series: Scientific Computation Ser.

Item Width: 6.1 in

Format: Trade Paperback

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