Tensor invariants in numerical geometric integration of ODEs
Arponen, Teijo. (2007) Tensor invariants in numerical geometric integration of ODEs. Journal of Computational and Applied Mathematics, Vol.205 (No.2). pp. 791-801. ISSN 0377-0427Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/j.cam.2006.03.037
We consider geometric numerical integration (GI) of ordinary differential equations (ODEs). We propose that in GI one needs concepts which are both geometric and algebraic. In this paper we start from an algebraic point of view: we introduce tensor invariants attached to an ODE as well as to an integrator. The notion of "sharing a tensor invariant" generalizes the well known notion of conserving a symplectic structure by an integrator. Several examples are given. (c) 2006 Elsevier B.V. All rights reserved.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||Journal of Computational and Applied Mathematics|
|Publisher:||Elseivier Science BV|
|Date:||15 August 2007|
|Number of Pages:||11|
|Page Range:||pp. 791-801|
|Access rights to Published version:||Restricted or Subscription Access|
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