From: "A. Bossavit" Subject: Re: Crank Nicholson Date: Wed, 16 Aug 2000 14:53:19 +0000 Newsgroups: sci.math.num-analysis Summary: [missing] >the best book or source of reference for Crank Nicholson method Crank-Nicolson, please. J. Crank: The mathematics of diffusion, Clarendon (Oxford), 1956. ============================================================================== From: Paul de Zeeuw Subject: Re: Crank Nicholson Date: Tue, 15 Aug 2000 12:58:48 GMT Newsgroups: sci.math.num-analysis Hi Ramin, I have not got the best source of reference to Crank Nicholson's method. Still, you might be interested in the following book: Numerical Methods for Advection - Diffusion Problems, Notes on Numerical Fluid Mechanics, Vol. 45, Proceedings of the Seminar Numerical Advection-Diffusion held at the University of Utrecht, 1991-1992. (C.B. Vreugdenhil and B. Koren, eds.), GAMM Vieweg. ISSN 0179-9614 ISBN 3-528-07645-3 It contains an overview of numerical methods to solve advection-diffusion problems. The book is intended for readers, not necessarily numerical specialists, who are involved in the actual solution of such problems. Regards, Paul de Zeeuw Dr. P.M. de Zeeuw http://www.cwi.nl/~pauldz/ P.S. One of the chapters has been written by me, see: http://www.cwi.nl/ftp/pauldz/Thesis_PDF/Chapter4.pdf ============================================================================== From: bds@rzg.mpg.de (Bruce Scott TOK) Subject: Re: Crank Nicholson Date: 15 Aug 2000 18:34:18 +0200 Newsgroups: sci.math.num-analysis In article <39985829.DC2358A8@Glue.umd.edu>, Ramin Sina wrote: >Hi all, > >What is the best book or source of reference for Crank Nicholson method >for convection-diffusion equation? I am looking for an applied book >that has many concrete examples and few rigorous mathematical proofs. >Also, is there any C/C++ code I can use? R. D. Richtmeyer and K. W. Morton, {\it Difference Methods for Initial-Value Problems}, 2nd Ed (Wiley, New York, 1967), p 303. -- cu, Bruce drift wave turbulence: http://www.rzg.mpg.de/~bds/