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

为船舶流体动力学领域的科学家和学生开发了一个个人的符号和代数计算系统。求解的分析方法有助于明确地了解流动的显着行为，特别是在奇异点附近，以及解的参数依赖性，甚至如果计算流体动力学完成了。但一般来说，他们很难也不愿意准确地操作公式。该系统是船舶流体动力学理论教育的辅助工具。该系统是一个增强型muMATH-83^<tm>系统，其源代码是The Soft Warehouse开发的原始代码的三倍。宿主语言是 muLISP-87^<tm>，但是大多数函数都是用表面语言 muSIMP-83^<tm> 编写的。实施如下： 1． muSIMP-83 语言的扩展和漂亮的打印例程2。窗口管理器使用的简单输入系统3。多元多项式的展开和因式分解4。常微分方程例程的扩展5。 6. 强化微积分复杂数值函数7.2D和3D图形函数