Stable continuous orthonormalization techniques for linear boundary value problems

P.M. Loon, van; R.M.M. Mattheij

doi:10.1017/S0334270000005816

Stable continuous orthonormalization techniques for linear boundary value problems

P.M. Loon, van
, R.M.M. Mattheij

Scientific Computing

Research output: Contribution to journal › Article › Academic › peer-review

122 Downloads (Pure)

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

Original language	English
Pages (from-to)	282-295
Journal	Journal of the Australian Mathematical Society, Series B
Volume	29
Issue number	3
DOIs	https://doi.org/10.1017/S0334270000005816
Publication status	Published - 1988

Access to Document

10.1017/S0334270000005816

publishers versionFinal published version, 545 KB

Cite this

@article{75fd5ff9b4ed4cce9d962f60a83e9632,

title = "Stable continuous orthonormalization techniques for linear boundary value problems",

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",

author = "\{Loon, van\}, P.M. and R.M.M. Mattheij",

year = "1988",

doi = "10.1017/S0334270000005816",

language = "English",

volume = "29",

pages = "282--295",

journal = "Journal of the Australian Mathematical Society, Series B",

issn = "0334-2700",

publisher = "Australian Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Stable continuous orthonormalization techniques for linear boundary value problems

AU - Loon, van, P.M.

AU - Mattheij, R.M.M.

PY - 1988

Y1 - 1988

N2 - 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

AB - 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

U2 - 10.1017/S0334270000005816

DO - 10.1017/S0334270000005816

M3 - Article

SN - 0334-2700

VL - 29

SP - 282

EP - 295

JO - Journal of the Australian Mathematical Society, Series B

JF - Journal of the Australian Mathematical Society, Series B

IS - 3

ER -

Stable continuous orthonormalization techniques for linear boundary value problems

Abstract

Access to Document

Fingerprint

Cite this