Cubic-matrix splines and second-order matrix models

Details Cubic-matrix splines and second-order matrix models Cubic-matrix splines and second-order matrix models

2007-11-19

arxiv.org/abs/0711.2913v1

Progress in Industrial Mathematics at ECMI 2006 (edited by L. L. Bonilla, M. A. Moscoso, G. Platero, and J. M. Vega), vol. 12

Mathematics

Numerical Analysis

5 pages

Scientific paper

We discuss the direct use of cubic-matrix splines to obtain continuous
approximations to the unique solution of matrix models of the type $Y''(x) =
f(x,Y(x))$. For numerical illustration, an estimation of the approximation
error, an algorithm for its implementation, and an example are given.

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