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Mathematical stencil and its application in finite difference approximation to the Poisson equation

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Science china {1. 2005年第10期48卷 1421-1429页

作者： FENG Hui~1.zhang Baolin~(1.2) & LIU {1.~1.1. department of mathematics,Wuhan university,Wuhan 430072,china 2. Laboratory of Computational Physics,Institute of Applied Physics and Computational mathematics,Beijing 1.0088. china 1. department of {1. Wuhan University 430072 Wuhan China 2. Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics 100088 Beijing China

The concept of mathematical stencil and the strategy of stencil elimination for solving the finite difference equation is presented, and then a new type of the iteration algorithm is established for the Poisson equation. The new algorithm has not only the obvious property of parallelism, but also faster convergence rate than that of the classical Jacobi iteration. Numerical experiments show that the time for the new algorithm is less than that of Jacobi and Gauss-Seidel methods to obtain the same precision, and the computational velocity increases obviously when the new iterative method, instead of Jacobi method, is applied to polish operation in multi-grid method, furthermore, the polynomial acceleration method is still applicable to the new iterative method.

关键词： mathematical stencil, stencil elimination, Poisson equation, finite difference, iterative algorithm,parallelism.

The decomposition of K_v into K_2 × K_5's

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Science china {1. 2007年第10期50卷 1382-1388页

作者： yang LI~1.Jian-xing YIN~1.Ru-cong {1.~2 Gen-nian GE~(2+) ~1.department of mathematics,Suzhou university,Suzhou 21.006,china ~2 department of mathematics,Zhejiang university,Hangzhou 31.027,china 1. department of {1. Suzhou University Suzhou 215006 China 2. department of {1. Zhejiang University Hangzhou 310027 China

The decomposition of the complete graph Kv into Kr×Kc's, the products of Kr and Kc,is originated from the use of DNA library screening. In this paper, we consider the case where r=2 and c = 5, and show that such a de... 详细信息

关键词： decomposition, the complete graph Kv, product graph Kr×Kc, DNA library screening

Variational minimizing parabolic and hyperbolic orbits for the restricted 3-body problems Dedicated to my Teacher Professor yang Wannian on the Occasion of his 75th Birthday

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Science china {1. 2012年第4期55卷 721-725页

作者： zhang ShiQing {1. of mathematics and yangtze Center of mathematics,sichuan university,chengdu 6.006.,china 1. department of {1. and yangtze Center of {1. Sichuan University Chengdu 610064 China

Using variational minimizing methods,we prove the existence of the odd symmetric parabolic or hyperbolic orbit for the restricted 3-body problems with weak forces.

关键词： restricted 3-body problems variational minimizers odd parabolic orbits odd hyperbolic orbits

Global smooth solution of multi-dimensional non-homogeneous conservation laws

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Progress in Natural Science:Materials International 2004年第10期14卷 15-22页

作者： yang Xiaozhou 1.and {1. Tong 2 (1.department of mathematics,Shantou university,Shantou51.063,china 2.Institute of mathematics,Chinese Academy of Sci-ences,Beijing1.0080,china) Shantou Univ Dept Math Shantou 515063 Peoples R China Chinese Acad Sci Inst Math Beijing 100080 Peoples R China

The initial value problem of multi-dimensional non-homogeneous conservation laws is studied and a sufficient condition of the existence of its global smooth solution is ***,three equivalent propositions of the existence of global smooth solution for multi-dimensional homogeneous scalar conservation laws are also *** global smooth solution is uniquely expressed by the global implicit function that is determined by a scalar equation,not by a system as usual methods do.

关键词： conservation laws global smooth solution global implicit function diffeomorphism

Acoustofluidics-enhanced biosensing with simultaneously high sensitivity and speed

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Microsystems & Nanoengineering 2024年第3期10卷 335-346页

作者： Yuang Li yang Zhao yang yang Wenchang zhang Yun zhang Sheng Sun Lingqian zhang Mingxiao Li Hang Gao Chengjun Huang Institute of Microelectronics of the Chinese Academy of Sciences Beijing 100029P.R.China university of Chinese Academy of Sciences Beijing 101408P.R.China department of Medicine Brigham and Women’s HospitalHarvard Medical SchoolBostonMA 02115USA

Simultaneously achieving high sensitivity and detection speed with traditional solid-state biosensors is usually limited since the target molecules must passively diffuse to the sensor surface before they can be *** techniques have been applied to shorten the diffusion time by continuously moving molecules through the biosensing ***,the binding efficiencies of the biomolecules are still limited by the inherent laminar flow inside microscale *** this study,focused traveling surface acoustic waves were directed into an acoustic microfluidic chip,which could continuously enrich the target molecules into a constriction zone for immediate detection of the immune reactions,thus significantly improving the detection sensitivity and *** demonstrate the enhancement of biosensing,we first developed an acoustic microfluidic chip integrated with a focused interdigital transducer;this transducer had the ability to capture more than 91.of passed ***,polystyrene microbeads were pre-captured with human IgG molecules at different concentrations and loaded for detection on the *** representative results,~0.63,2.62,1..78,and 1..75 seconds were needed to accumulate significant numbers of microbeads pre-captured with human IgG molecules at concentrations of 1.0,1.,1.and 0.1.ng/mL(~0.7 pM),respectively;this process was faster than the other methods at the hour level and more sensitive than the other methods at the nanomolar *** results indicated that the proposed method could significantly improve both the sensitivity and speed,revealing the importance of selective enrichment strategies for rapid biosensing of rare molecules.

关键词： fluid continuously simultaneous

Formation and Evolution of Ancient Lakes on South Coast Plain of Laizhou Bay

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Chinese Journal of Population,Resources and Environment 2005年第4期3卷 26-32页

作者： Han Mei 1. Zhou Baohua 2, yang Peilin 1.Gao Guiqin 1.& {1. Weiying 1.1. department of Geography, Shandong Normal university, Jinan 25001., china 2. department of Geography, Jinan university, Jinan 250001. china department of Geography Shandong Normal University Jinan 250014 China department of Geography Jlnan University Jinan 250001 China

Based on the data of historical geography, the analysis of the stratigraphic section, and the textual research of place names and satellite photographic interpretations, the authors study the formation and evolution of ancient lakes on the south coast plain of Laizhou Bay where there were once three lakes: Judian Lake, Qingshuibo Lake and Biehua Lake. All the lakes formed 6000 years ago evolved from the lagoons near the estuary and went through two periods, the golden age in the Middle Holocene and the shrinking age in the Late Holocene. The disappearance of the lakes resulted from the drying climate, the migration of the river courses and the activities of human beings. Among the three reasons, the migration of the river courses is the main one.

关键词： ancient lake cause historical evolution south coast plain of Laizhou Bay

Structural integration of solar desalination system

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Science china Materials 2024年第6期67卷 2039-2041页

作者： Diling yang Hao {1. Hongbo Zeng School of Materials and Environmental Engineering Hunan University of HumanitiesScience and TechnologyLoudi 417000China department of Chemical and Materials Engineering University of AlbertaEdmontonAlberta T6G 1H9Canada

As population grow and climate change place significant water stress on numerous regions,the demand for efficient and environmentally friendly water resource solutions becomes increasingly *** address this challenge,desalination technology has received much attention and is widely employed,with a recent emphasis on solar-powered solutions driven by the global push for carbon neutrality.

关键词： neutral system integration

Rank of loop, constraint degree of path, coupling degree of graph and their application

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Progress in Natural Science:Materials International 2005年第2期15卷 79-85页

作者： yang Tingli1., LUO Yufeng2, {1. Ce3 and YAO Fanghua1.1. SINOPIC Jinling Petrochemical Corp., Nanjing 21.037, china 2. department of Mechanical Engineering, Nanchang university, Nanchang 330029, china 3. department of Mechanical Engineering, Tianjin university, Tianjin 300072, china) SINOPIC Jinling Petrochemical Corp. Nanjing 210037 China. department of Mechanical Engineering Nanchang University Nanchang 330029 China. department of Mechanical Engineering Tiánjin University Tianjin 300072 China

Some new concepts (rank of a loop, degree of freedom of a graph, path unit and ordered path arrangement, constraint degree of path, coupling degree of a graph, basic graph, etc.), formulas, and algorithms, are proposed in this paper. Based on these concepts, a new systematic theory and practical method for the design of topological structure, kinematics and dynamics of mechanical systems is established. Some conjectures and problems needed to be researched are also put forward. The concepts, formulae and algorithms presented in this paper will find wide potential applications.

关键词： rank of loop degree of freedom of graph constraint degree of path coupling degree of graph

Utilization of a spiropyran derivative in a polymeric film optode for selective fluorescent sensing of zinc ion

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Science china Chemistry 2006年第3期49卷 246-255页

作者： zhang Ying1. SHAO Na1. {1. Ronghua1. LI Ke’an1. LIU Feng1. CHAN Winghong2 & MO Tian2 1. College of Chemistry and Molecular Engineering, Peking university, Beijing 1.0871. china 2. department of Chemistry, Hong Kong Baptist university, Hong Kong, china 1. College of Chemistry and Molecular Engineering Peking University Beijing 100871 China 2. department of Chemistry Hong Kong Baptist University Hong Kong China

A new spiropyran derivative was synthesized and first utilized in a polymericfilm-based optical sensor for zinc ion. Spiropyrans, combining the characteristics of metal bindingand signal transduction, show potential function in the design of optical chemical sensors(optodes) toward metal ions. When embedded in a plasticized poly (vinyl chloride) (PVC) membrane,the newly synthesized spiropyran derivative 1.exhibits obvious fluorescence enhancement at 630 nm inthe presence of zinc ion in aqueous solution. With the optimum condition described, the optodemembrane responds to zinc ion over a dynamic range of 4.94x1.^(-7) to 4.1.x1.^(-4)mol·L^(-1., witha detection limit of 1.51.1.^(-7) mol·L^(-1.. The membrane not only displays excellentphotostability, reproducibility and reversibility, but also exhibits high selectivity toward zincion over transition metal ions including Hg^(2+), Cd^(2+), Pb^(2+), Cu^(2+), Fe^(3+) and commoncationic ions presented in the physiological fluids.

关键词： spiropyran, sensor, PVC membrane, zinc ion, fluorescent spectroscopy.