Semi-explicit methods for isospectral flows

被引：3

作者：

Calvo M.P. ^{[1
]}

Iserles A. ^{[2
]}

Zanna A.

机构：

[1] Depto. de Matemat. Apl. y Comp., Universidad de Valladolid, Valladolid

[2] Department Appl. Math. Theor. Phys., University of Cambridge, Cambridge

来源：

Advances in Computational Mathematics | 2001年 / 14卷 / 1期

关键词：

Theoretical Solution; Real Matrice; Exact Equation; Taylor Method; Isospectral Flow;

D O I：

10.1023/A:1016635812817

中图分类号：

学科分类号：

摘要：

In this paper we propose semi-explicit schemes based on Taylor methods for the solution of the isospectral equation L′ = [B, L] for d × d real matrices L, while reproducing the isospectrality of the exact equation. Although the theoretical solution may be symmetric, the proposed schemes usually do not retain symmetry of the underlying flow. We present techniques that allow us to decrease the breakdown in symmetry.

引用

页码：1 / 24

页数：23

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