SOLVING SPLINE COLLOCATION APPROXIMATIONS TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS BY A HOMOTOPY METHOD
1984) SOLVING SPLINE COLLOCATION APPROXIMATIONS TO NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS BY A HOMOTOPY METHOD. Technical Report CS84015-R, Computer Science, Virginia Tech. (
The Chow-Yorke algorithm is a homotopy method that has been proved globally convergent for Brouwer fixed point problems, certain classes of zero linding and nonlinear programming problems, and two-point boundary value approximations based on shooting and finite differences. The method is numerically stable and has been successfully applied to a wide range of practical engineering problems. Here the Chow-Yorke algorithm is proved globally convergent for a class of spline collocation approxlmetions to nonlinear two-point boundary value problems. Several numerical implementations of the algorithm are briefly described. and computational results are presented for a fairly difficult hid dynamics boundary value problem.
|Item Type:||Departmental Technical Report|
|Keywords:||homotopy method, Chow-Yorke algorithm, globally convergent, two-point boundary value problem, spline collocation, nonlinear equations|
|Subjects:||Computer Science > Historical Collection(Till Dec 2001)|
|Deposited By:||Administrator, Eprints|
|Deposited On:||13 May 2006|