Development of Personal System of Symbolic and Algebraic Computation in the Field of Ship Hydrodynamics

船舶水动力领域符号代数计算个人系统的研制

• 批准号: 06555297
• 负责人: MATSUMURA Kiyoshige
• 金额: $ 1.54万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Developmental Scientific Research (B)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06555297/
• 关键词: symbolic and algebraic computation; computer-aided-analysis; muMATH; muSIMP; LISP; algorithm; 数式処理; Pade近似; LISP言語; 境界層方程式

A personal system of symbolic and algebraic computation is developed for scientists and students in the field of ship hydrodynamics.Analytical method of solution is useful to know the significant behavior of the flow especially near singular points and also the parameter dependency of the solution explicitly, even if Computational Fluid Dynamics was accomplished. However, generally speaking, it is difficult and reluctant for them to manipulate formulas exactly. This system is an aid to education of theoretical ship hydrodynamics.This system is a reinforced muMATH-83^<tm> system which source code is three times as many as the original one developed by The Soft Warehouse. The host language is muLISP-87^<tm>, however the most of functions are written in muSIMP-83^<tm> the surface language. Following are implemented.1. Extension of muSIMP-83 language and pretty print routine2. Easy input system utilized by the window manager3. Expansion and factorization of multi-variate polynomial4. Extension of the routine for ordinary differential equations5. Reinforcement of calculus6. Complex numerical functions7.2D and 3D graphic functions

为船舶水动力学领域的科学家和学生开发了一个符号和代数计算的个人系统。即使完成了计算流体动力学，解析解方法也有助于明确了解流动的重要行为，特别是在奇点附近，以及解的参数依赖性。但是，一般来说，他们很难也不愿意对公式进行精确的操作。该系统是船舶水动力学理论教学的辅助工具，是由软件仓库公司开发的muMATH-83系统的增强<tm>版，源代码是原系统的3倍。主机语言是muLISP-87^<tm>，但大多数函数是用muSIMP-83^编写的<tm>。具体实施如下：1. muSIMP-83语言的扩展和漂亮的打印程序2.窗口管理器使用的简易输入系统3.多元多项式的展开和因式分解4.常微分方程程序的扩展5.加固结石6.复杂数值函数7.2D和3D图形函数