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We first define a mesh or grid by a set of k = 1, 2, ..., M pointsat which we supply values for the independent variable xk . In particular, x1 is the initialboundary, and xM is the final boundary. We use the notation yk to refer to the entire set ofSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software.Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited.
To order Numerical Recipes books,diskettes, or CDROMsvisit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).There are boundary value problems where even shooting to a fitting point fails— the integration interval has to be partitioned by several fitting points with thesolution being matched at each such point. For more details see [1]..
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