Co-operative research for numerical analysis and applied analysis

数值分析和应用分析的合作研究

基本信息

批准号：
61302008
负责人：
MIMURA Masayasu
金额：
$ 6.72万
依托单位：
HIROSHIMA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Co-operative Research (A)
财政年份：
1986
资助国家：
日本
起止时间：
1986 至 1987
项目状态：
已结题

项目摘要

For two years of 1986 and 1987, 4 research groups have been formed to study mathematically nonlinear phenomena in natural sciences such as engineering, physics, biology and other fields. The groups have studied (1) modeling of a variety of nonlinear phenomena, (2) development of theoretical methods to analysis such models. (3) development of numerical methods, and (4) development of computational algorithms which basically support the above numerical metthods. These froups have fruitful meetings in complementary cooperation with each other and have produced a lot of interesting results. For instance, we had a workshop on "Modeling, Simulation & Visualization". In addition to the people who are interested in applied analysis and numerical analysis, so many people participated and actively discussed who worked in the fields of fluid dynamics, engineering, plasma physis, physiology and chemistry.We believe that the claim of this meeting suggest a new branch which will be necessary in applied mathematics.From a theoretical viewpoint, we organized the "Winter Institute or Matheamtical Science" for young researchers. The titles are "Nonlinear phenomena, theories and applications" and the "The world of computational mathematics". I confirm that these institutes give a significant influence on the attendants in understanding what should we do for new applied mathematics. Also, our groups have produced so many important results in applied mathematics. Parts of these are published in Japan Journal of Applied Mahtematics.

在1986年和1987年的两年中，已经成立了4个研究小组，以研究工程，物理，生物学和其他领域等自然科学中的数学非线性现象。两组研究了（1）多种非线性现象的建模，（2）开发了分析此类模型的理论方法。（3）开发数值方法和（4）基本上支持上述数值元热的计算算法的开发。这些FROUP互相互补合作，并取得了许多有趣的结果。例如，我们举办了一个关于“建模，仿真和可视化”的研讨会。除了对应用分析和数值分析感兴趣的人外，许多人还参与并积极地讨论了谁在流体动态，工程，等离子体物理，生理学和化学领域的领域工作。我们相信，这次会议的主张建议一个新的分支，这将在应用数学上是必不可少的。根据理论的研究，我们为“冬季学家或数学研究员组织”。标题是“非线性现象，理论和应用”和“计算数学世界”。我确认这些机构对服务员了解我们应该为新的应用数学做什么，从而产生了重大影响。而且，我们的小组在应用数学方面产生了许多重要的结果。其中的一部分发表在《日本应用Mahtematics》杂志上。