Numerical Solutions of Matrix Differential Models using Cubic Matrix Splines II

Details Numerical Solutions of Matrix Differential Models using Cubic Matrix Splines II Numerical Solutions of Matrix Differential Models using Cubic Matrix Splines II

2006-12-07

arxiv.org/abs/math/0612202v1

Math. Comp. Modelling 46 (5-6), pp. 657-669 (2007)

Mathematics

Numerical Analysis

14 pages; submitted to Math. Comp. Modelling

Scientific paper

10.1016/j.mcm.2006.11.027

This paper presents the non-linear generalization of a previous work on matrix differential models. It focusses on the construction of approximate solutions of first-order matrix differential equations Y'(x)=f(x,Y(x)) using matrix-cubic splines. An estimation of the approximation error, an algorithm for its implementation and illustrative examples for Sylvester and Riccati matrix differential equations are given.

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