English

Cubic-matrix splines and second-order matrix models

Numerical Analysis 2007-11-20 v1

Abstract

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))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.

Keywords

Cite

@article{arxiv.0711.2913,
  title  = {Cubic-matrix splines and second-order matrix models},
  author = {M. M. Tung and L. Soler and E. Defez and A. Hervas},
  journal= {arXiv preprint arXiv:0711.2913},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-06-21T09:44:49.109Z