# Finite difference scheme for the Landau-Lifshitz equation

Atsushi Fuwa, Tetsuya Ishiwata, Masayoshi Tsutsumi

3 引用 (Scopus)

### 抄録

In this paper we propose a finite difference scheme for the Landau-Lifshitz equation and the Heisenberg equation. These equations describe the evolution of spin fields in continuum ferromagnetism and have the following properties: (i) length preserving, (ii) energy conservation or dissipation property. We showthat our scheme inherits these characteristic properties. The proposed scheme is implicit nonlinear, so we check an unique solvability of our schemes. Furthermore, we establish the error estimate for this problem. Finally, we demonstrate numerical examples in order to show the effectiveness of our scheme.

元の言語 English 83-110 28 Japan Journal of Industrial and Applied Mathematics 29 1 https://doi.org/10.1007/s13160-011-0054-9 Published - 2012 2

### Fingerprint

Ferromagnetism
Energy dissipation
Energy conservation

### ASJC Scopus subject areas

• Applied Mathematics
• Engineering(all)

### これを引用

Finite difference scheme for the Landau-Lifshitz equation. / Fuwa, Atsushi; Ishiwata, Tetsuya; Tsutsumi, Masayoshi.

：: Japan Journal of Industrial and Applied Mathematics, 巻 29, 番号 1, 02.2012, p. 83-110.

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