A NEW DIFFERENCE SCHEME WITH MULTI-TIME LEVELS

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: numerical computing multi-initial values self-memorization the retrospective difference cheme
• 年，卷（期）: 2001,（11）
• 所属期刊栏目: GENERAL
• 页码范围: 1004-1010
• 页数: 7页
• 分类号: O4
• 语种: 英文

摘要

In view of making the best use of information coming from past observational data, a new difference scheme with multi-time levels (p ＞3) is suggested. Some mathematical characteristics of the scheme, which is called the retrospective scheme, are discussed. The numerical results of some examples show that the calculation accuracy of linear and nonlinear advection equations computed with the retrospective scheme is higher than that obtained via the leapfrog scheme. The scheme can be applied to many fields, such as meteorology, engineering physics, astronautics, environment and economy etc, where systematic observations are made normally.