Observational study for the system of interval analysis by seamless access
Observational study for the system of interval analysis by seamless access
批准号:
13640135
负责人:
NODERA Takashi
金额:
$1.79万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2001
资助国家:
日本
项目状态:
已结题
起止时间:
2001 至 2002
中文摘要
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英文摘要
This research presents a fundamental characterization of the numerical simulation of computational fluid dynamics and the system development of numerical validation. In particular, we focus on the development of basic algorithm concerning the interval analysis of fluid dynamics and parallel computation. This observation is indeed present as technological developments to expand our computational power, thus encouraging the numerical problems of larger and larger system. Moreover, high-performance computing puts us in a position where we are able to study mathematical models at complexity levels far beyond the limits of currently available analytic tools. Fore these reasons, the development of efficient and reliable algorithms for solving large problems will have continued impact of on computational dynamics. The leading researchers perform their works : mathematical analysis of interval computation, interactive interface of computer network and its computer graphics, basic probabilistic analysis of finance problems, parallel numerical algorithms for large scale problems et etc. There is much research activity on the developments in the large scale settings. The whole story is not here, but several major trends are characterized. The researchers are also now beginning to extend their techniques to more practical and realistic applications. This project could not have been begun if it were not for this grant, to which we offer our sincere appreciation.
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羽部 充, 野寺 隆: "リスタート周期を動的に変えるGMRES(m)法"情報処理学会論文誌. 43. 1795-1803 (2002)
Mitsuru Habe、Takashi Nodera:“动态改变重启周期的 GMRES(m) 方法”,日本信息处理学会汇刊 43. 1795-1803 (2002)。
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A.Tani, Y.Kusaka: "Classical solvability of two-phase Stefan problem in a viscous incompressible fluid flow"Math.Models Mech.Appl.Sci.. 12. 365-391 (2002)
A.Tani, Y.Kusaka:“粘性不可压缩流体流动中两相 Stefan 问题的经典可解性”Math.Models Mech.Appl.Sci.. 12. 365-391 (2002)
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K.Nakamaru, Y.Ohno: "Ray Tracing for Curves Primitive"J. of WSCG. 10. 311-316 (2001)
K.Nakamaru、Y.Ohno:“曲线原语的光线追踪”J.
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K.Moriya and T.Nodera: "Parallel preconditioning for large scale linear systems"Bulletin of the Japan Society for Industrial and Applied Math.. Vol.12. 14-19 (2002)
K.Moriya 和 T.Nodera:“大规模线性系统的并行预处理”日本工业和应用数学学会通报。第 12 卷。
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K.Nakamaru and Y.Ohno: "Ray tracing for curves premitive"J.of WSCG. Vol.10. 311-316 (2002)
K.Nakamaru 和 Y.Ohno:“曲线预测的光线追踪”J. of WSCG。
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共 10 条
New GMRES algorithm for solving large scale inverse problems on a cloud computing
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批准号:23654040
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项目类别:Grant-in-Aid for Challenging Exploratory Research
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资助金额:$2.25万
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财政年份:2011
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负责人:NODERA Takashi
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依托单位:
Constraction of the lattice gauge computation tools for large scale cluster computars
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批准号:15540136
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.18万
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财政年份:2003
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负责人:NODERA Takashi
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依托单位: