Stable continuous orthonormalisation techniques for linear boundary value problems
P.M. van Loon, R.M.M. Mattheij · ANZIAM Journal · 1988
Abstract An investigation is made of a hybrid method inspired by Riccati transformations and marching algorithms employing (parts of) orthogonal matrices, both being decoupling algorithms. It is shown that this so-called continuous orthonormalisation is stable and practical as well. Nevertheless, if the problem is stiff and many output points are required the method does not give much gain over, say, multiple shooting.