We generalize the cyclic reduction algorithm to the solution of Bordered ABD linear systems with blocks of dierent sizes and with different overlaps. This kind of system often arises from the numerical approximation of BVPs with nonseparated boundary conditions. In particular, in our experiments we refer to spline collocation techniques with monomial and B-spline basis functions.
Numerical solution of general Bordered ABD linear systems by cyclic reduction
AMODIO, Pierluigi;
2006-01-01
Abstract
We generalize the cyclic reduction algorithm to the solution of Bordered ABD linear systems with blocks of dierent sizes and with different overlaps. This kind of system often arises from the numerical approximation of BVPs with nonseparated boundary conditions. In particular, in our experiments we refer to spline collocation techniques with monomial and B-spline basis functions.File in questo prodotto:
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