TY - JOUR
T1 - A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations 
AU - Zhongqing Wang & Jun Mu
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 619
EP - 639
PY - 2016
DA - 2016/09
SN - 9
DO - http://doi.org/10.4208/nmtma.2016.m1429
UR - https://global-sci.org/intro/article_detail/nmtma/12392.html
KW - 
AB - <p style="text-align: justify;">We introduce a multiple interval Chebyshev-Gauss-Lobatto spectral collocation method for the initial value problems of the nonlinear ordinary differential equations (ODES). This method is easy to implement and possesses the high order accuracy. In addition, it is very stable and suitable for long time calculations. We also obtain
the $hp$-version bound on the numerical error of the multiple interval collocation method under $H^1$-norm. Numerical experiments confirm the theoretical expectations.</p>