A Derivation of a Finite Difference Scheme for the Nonlinear Schrodinger Equation by the Discrete Variational Method

• Matsuo Takayasu

  Nagoya University

• Sugihara Masaaki

  Nagoya University

• Mori Masatake

  Kyoto University

Bibliographic Information

Other Title

• 非線形Schrodinger方程式に対する差分スキームの離散的変分による導出
• ヒセンケイ Schrodinger ホウテイシキ ニ タイスル サブン スキー

Abstract

We derive a finite difference scheme for the nonlinear Schrodinger equation by the discrete variational method, which has recently been developed by Furihata and Mori, and study the existence and uniqueness of solutions of the scheme.

Journal

• Transactions of the Japan Society for Industrial and Applied Mathematics

  Transactions of the Japan Society for Industrial and Applied Mathematics 8 (3), 405-426, 1998

  The Japan Society for Industrial and Applied Mathematics

Details

• CRID: 1390001205767735936
• NII Article ID: 110001883700
• NII Book ID: AN10367166
• ISSN: 09172246
• ISSN: 24240982
• DOI: 10.11540/jsiamt.8.3_405
• NDL BIB ID: 4562700
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4562700
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
• Abstract License Flag: Disallowed