%0 Journal Article %T Numerical Solutions of Matrix Differential Models using Cubic Matrix Splines II %A E. Defez %A A. Hervas %A L. Soler %A M. M. Tung %J Mathematics %D 2006 %I arXiv %R 10.1016/j.mcm.2006.11.027 %X 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. %U http://arxiv.org/abs/math/0612202v1