Beginning with an initial guess y0 x 0 x 1 2 solve the

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Unformatted text preview: of y( ) will generally be required to determine A( ) (x), etc. at locations that are needed by a variable-step IVP procedure. 19 20 Bibliography 1] U.M. Ascher, R. Mattheij, and R. Russell. Numerical Solution of Boundary Value Problems for Ordinary Di erential Equations. SIAM, Philadelphia, second edition, 1995. 2] U.M. Ascher and L.R. Petzold. Computer Methods for Ordinary Di erential Equations and Di erential-Algebraic Equations. SIAM, Philadelphia, 1998. 3] G. Birkho and G.-C. Rota. Ordinary Di erential Equations. John Wiley and Sons, New York, third edition, 1978. 4] W.E. Boyce and R.C. DiPrima. Elementary Di erential Equations and Boundary Value Problems. John Wiley and Sons, New York, third edition, 1977. 5] S.D. Conte. The numerical solution of linear boundary value problems. SIAM Review, 8:309{321, 1975. 6] J.W. Demmel. Applied Numerical Linear Algebra. SIAM, Philadelphia, 1997. 7] J.C. Diaz, G. Fairweather, and P. Keast. Fortran packages for solving almost block diagonal linear syst...
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This document was uploaded on 03/16/2014 for the course CSCI 6820 at Rensselaer Polytechnic Institute.

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