Spectral and spectral collocation methods for Hamiltonian systems
哈密顿系统的谱和谱搭配方法
基本信息
- 批准号:1115530
- 负责人:
- 金额:$ 12万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2011
- 资助国家:美国
- 起止时间:2011-09-01 至 2014-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
The objective of this project is to develop some robust and high accuracy numerical algorithms and related mathematical theory for Hamiltonian systems. The research efforts will be devoted to constructing "essentially" (accuracy is in a range of the computer round-off error) volume conserving (symplectic) and energy conserving algorithms. Some recent mathematical theory in spectral methods, finite element superconvergence, as well as discontinuous Galerkin methods will be employed in the project.Phenomena in different scientific disciplines such as classical mechanics, molecular dynamics, hydrodynamics, electrodynamics, plasma physics, relativity, and astronomy, etc. can be described by Hamiltonian dynamical systems. The success of the project will impact science and engineering practices. This research will widen the body of knowledge in the scientific community on both mathematical theory and practical algorithmic design. The project contains solid multi- and interdisciplinary components and has wide application in scientific computing.
该项目的目的是开发一些针对哈密顿系统的强大而高精度的数值算法和相关的数学理论。研究工作将致力于构建“基本上”(准确性在计算机舍入误差的范围内)量保存(符合性)和节能算法。该项目将采用光谱方法,有限元元素超级范围以及不连续的盖尔金方法的一些最新数学理论。该项目的成功将影响科学和工程实践。这项研究将扩大科学界在数学理论和实用算法设计方面的知识体系。该项目包含可靠的多学科组成部分,并且在科学计算中具有广泛的应用。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)

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数据更新时间:2024-06-01
Zhimin Zhang其他文献
FINITE ELEMENT FORMULATION IN FLAT COORDINATE SPACES TO SOLVE ELLIPTIC PROBLEMS ON GENERAL CLOSED
解决广义闭椭圆问题的平坐标空间有限元公式
- DOI:
- 发表时间:20142014
- 期刊:
- 影响因子:0
- 作者:Riemannian Manifolds;L. Qin;Shangyou Zhang;Zhimin ZhangRiemannian Manifolds;L. Qin;Shangyou Zhang;Zhimin Zhang
- 通讯作者:Zhimin ZhangZhimin Zhang
EasyCID: Make component identification easy in Raman spectroscopy
EasyCID:使拉曼光谱中的成分识别变得容易
- DOI:10.1016/j.chemolab.2022.10465710.1016/j.chemolab.2022.104657
- 发表时间:2022-092022-09
- 期刊:
- 影响因子:3.9
- 作者:Yue Wang;Xiaqiong Fan;Shuai Tian;Hailiang Zhang;Jinyu Sun;Hongmei Lu;Zhimin ZhangYue Wang;Xiaqiong Fan;Shuai Tian;Hailiang Zhang;Jinyu Sun;Hongmei Lu;Zhimin Zhang
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Derivative superconvergent points in finite element solutions of harmonic functions- A theoretical justification
- DOI:10.1090/s0025-5718-01-01398-910.1090/s0025-5718-01-01398-9
- 发表时间:2002-102002-10
- 期刊:
- 影响因子:0
- 作者:Zhimin ZhangZhimin Zhang
- 通讯作者:Zhimin ZhangZhimin Zhang
Valuing equity-linked death benefits in general exponential Lévy models
在一般指数 Lévy 模型中评估与股票相关的死亡抚恤金
- DOI:10.1016/j.cam.2019.11237710.1016/j.cam.2019.112377
- 发表时间:2020-022020-02
- 期刊:
- 影响因子:2.4
- 作者:Zhimin Zhang;Yaodi Yong;Wenguang YuZhimin Zhang;Yaodi Yong;Wenguang Yu
- 通讯作者:Wenguang YuWenguang Yu
A CTL/M2 macrophage-related four-gene signature predicting metastasis-free survival in triple-negative breast cancer treated with adjuvant radiotherapy
与 CTL/M2 巨噬细胞相关的四基因特征预测接受辅助放疗的三阴性乳腺癌的无转移生存期
- DOI:10.1007/s10549-021-06379-110.1007/s10549-021-06379-1
- 发表时间:2021-062021-06
- 期刊:
- 影响因子:0
- 作者:Yunfei Ye;Jungang Ma;Qin Zhang;Kai Xiong;Zhimin Zhang;Chuan Chen;He Xiao;Dong WangYunfei Ye;Jungang Ma;Qin Zhang;Kai Xiong;Zhimin Zhang;Chuan Chen;He Xiao;Dong Wang
- 通讯作者:Dong WangDong Wang
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Zhimin Zhang的其他基金
Superconvergent post-processing of some newly developed numerical methods with weak derivatives
一些新发展的弱导数数值方法的超收敛后处理
- 批准号:14190401419040
- 财政年份:2014
- 资助金额:$ 12万$ 12万
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Superconvergence of p-version/spectral collocation, discontinuous Galerkin methods and eigenvalue approximation
p版本/谱搭配的超收敛、不连续伽辽金方法和特征值近似
- 批准号:06129080612908
- 财政年份:2006
- 资助金额:$ 12万$ 12万
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Recovery Type A Posteriori Error Estimates
恢复类型 A 后验误差估计
- 批准号:03118070311807
- 财政年份:2003
- 资助金额:$ 12万$ 12万
- 项目类别:Standard GrantStandard Grant
Scientific Computing Research Environment for the Mathematical Sciences
数学科学的科学计算研究环境
- 批准号:00797430079743
- 财政年份:2000
- 资助金额:$ 12万$ 12万
- 项目类别:Standard GrantStandard Grant
Finite Element Superconvergence in Computational Mechanics
计算力学中的有限元超收敛
- 批准号:00743010074301
- 财政年份:2000
- 资助金额:$ 12万$ 12万
- 项目类别:Standard GrantStandard Grant
NSF/CBMS Regional Conference in the Mathematical Sciences entitled Superconvergence in Finite Element Methods to be held May-June, 2000, in Lubbock, Texas
NSF/CBMS 数学科学区域会议,题为“有限元方法中的超收敛”,将于 2000 年 5 月至 6 月在德克萨斯州拉伯克举行
- 批准号:99792149979214
- 财政年份:2000
- 资助金额:$ 12万$ 12万
- 项目类别:Standard GrantStandard Grant
U.S.-China Cooperative Research: Finite Element Superconvergence in Computational Mechanics
中美合作研究:计算力学中的有限元超收敛
- 批准号:01961390196139
- 财政年份:2000
- 资助金额:$ 12万$ 12万
- 项目类别:Standard GrantStandard Grant
U.S.-China Cooperative Research: Finite Element Superconvergence in Computational Mechanics
中美合作研究:计算力学中的有限元超收敛
- 批准号:96050509605050
- 财政年份:1997
- 资助金额:$ 12万$ 12万
- 项目类别:Standard GrantStandard Grant
Mathematical Sciences: Finite Element Superconvergence in Computational Mechanics
数学科学:计算力学中的有限元超收敛
- 批准号:96261939626193
- 财政年份:1996
- 资助金额:$ 12万$ 12万
- 项目类别:Standard GrantStandard Grant
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