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GLOBAL SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION

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Journal of Computational Mathematics 1998年第6期16卷 521-526页

作者： Lin, Q Liu, xq Acad Sinica Inst Syst Sci Beijing 100080 Peoples R China Xiangtan Teachers Coll Dept Math Hunan 411201 Peoples R China

In this paper, we shall study the initial boundary value problem of Schrodinger equation. The second order gradient superconvergence estimates for the problem are obtained solving by linear finite elements.

关键词： finite element superconvergence estimates interpolation Schrodinger equation

DISCRETIZATION OF JUMP STOCHASTIC DIFFERENTIAL EQUATIONS IN TERMS OF MULTIPLE STOCHASTIC INTEGRALS

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Journal of Computational Mathematics 1998年第4期16卷 375-384页

作者： Li, CW Wu, SC Liu, xq City Univ Hong Kong Dept Math Hong Kong Hong Kong Acad Sinica Inst Appl Math Beijing 100080 Peoples R China Acad Sinica Lab Management Decis & Informat Syst Beijing 100080 Peoples R China

In the Stratonovich-Taylor and Stratonovich-Taylor-Hall discretization schemes for stochastic differential equations (SDEs), there appear two types of multiple stochastic integrals respectively. The present work is to approximate these multiple stochastic integrals by converting them into systems of simple SDEs and solving the systems by lower order numerical schemes. The reliability of this approach is clarified in theory and demonstrated in numerical examples. In consequence, the results are applied to the strong discretization of both continuous and jump SDEs.

关键词： Brownian motion Poisson process stochastic differential equation multiple stochastic integral strong discretization

NOTES ON REFINABLE FUNCTIONS

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Journal of Computational Mathematics 1998年第4期16卷 319-326页

作者： Shi, xq Deng, H Lin, HF Dalian Univ Technol Dept Math Dalian 116024 Peoples R China Hydraul Prospecting & Designing Inst Jilin Prov Dept Technol Changchun 130021 Peoples R China Dalian Univ Technol Dept Comp Sci Dalian 116024 Peoples R China

In this paper some properties of refinable functions and some relationships between the mask symbol and the refinable functions are studied. Especially, it is illustrated by examples that the linear spaces formed by the translates over the lattice points of refinable functions may contain polynomial spaces of deg-ree higher than the smooth order of the corresponding refinable functions.

关键词： mask symbol refinable function

SYNTHESIS　OF　1H－1，2，4－TRIAZOLE－3－THIOL　RESIN　AND　ITS　SORPTION　BEHAVIOR　FOR　PLATINUM　AND　GOLD　IONS

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中国有色金属学会会刊：英文版 1996年第3期6卷 49-53页

作者： Chen, xq Yuan, XZ Chen, YY CENT S UNIV TECHNOL DEPT CHEMCHANGSHA 410083PEOPLES R CHINA HUNAN UNIV INST EVIRONM PROTECTCHANGSHA 410082PEOPLES R CHINA HANGZHOU UNIV DEPT CHEMHANGZHOU 310028PEOPLES R CHINA

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ＳＹＮＴＨＥＳＩＳＯＦ１Ｈ－１，２，４－ＴＲＩＡＺＯＬＥ－３－ＴＨＩＯＬＲＥＳＩＮＡＮＤＩＴＳＳＯＲＰＴＩＯＮＢＥＨＡＶＩＯＲＦＯＲＰＬＡＴＩＮＵＭＡＮＤＧＯＬＤＩＯＮＳ￥ＣｈｅｎＸｉａｏｑｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＣｈｅｍｉｓｔｒｙ，Ｃｅｎｔ...

关键词： H-1 2 4-triazzole-3-thiol resin sorption gold platinum

Study on Current-Random Wave Forces Acting on a Framework

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China Ocean Engineering 1998年第3期13卷 265-274页

作者： E, xq Shao, CP Gao, YX Chinese Acad Sci Inst Mech Beijing 100080 Peoples R China

The forces of random wave plus current acting on a simplified offshore platform (jacket) model have been studied numerically and experimentally. The numerical results are in good agreement with experiments. The mean force can be approximated as a function of equivalent velocity parameter and the root-mean-square force as a function of equivalent significant wave height parameter.

关键词： random wave wave forces current condition jacket framework

SYNTHESIS OF 3-PER(POLY)FLUOROALKYLPYRAZOLES

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Chinese Chemical Letters 1995年第4期6卷 281-284页

作者： Tang, xq Hu, CM Chinese Acad Sci Shanghai Inst Organ Chem Shanghai 200032 Peoples R China

The reaction of the adducts of per(poly)fluoroalkyl iodides and vinyl acetate with hydrazine monohydrate to give the corresponding 3-per(poly)fluoroalkylpyrazoles in excellent yields is described. The reaction might g... 详细信息

关键词： V

Sishengtang decoction in alleviation of toxic and side effects of transarterial embolization

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World Journal of Gastroenterology 1998年第2期4卷 79-81页

作者： Chen, Z Ling, CQ Huang, xq Zhang, HW Second Mil Med Univ Changhai Hosp Dept Tradit Chinese Med Shanghai 200433 Peoples R China

AIM To observe the therapeutic effects of Sishengtang decoction in alleviating the toxic and side effects of transarterial embolization (TAE). METHODS Fifty four patients with liver cancer were divided randomly into Sishengtang decoction group (34 cases) and control group (20 cases). The changes of clinical symptoms and peripheral hemogram and some cellular immune functions were observed before and two weeks after TAE. RESULTS Sishengtang decoction was superior to the control group in improving the digestive tract reaction. The leucocytes of peripheral blood and cellular immune functions (activities of NK cells and LAK cells) of control group decreased obviously after TAE, while that of Sishengtang decoction group decreased slightly, without obvious difference as compared with that of preoperation. CONCLUSIONS Sishengtang decoction might improve the clinical symptoms and increase the leucocytes of peripheral blood and the cellular immune functions of TAE patients.

关键词： Sishengtang decoction liver neoplasms/therapy embolization, therapeutic immunity , cellular killer cell, natural killer cell , lymphokine activated leucocytes

Synthesis, characterization and electrical conductivity of poly [ethyl trifluorobuty-2-noate]

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Chinese Journal of Chemistry 1995年第6期13卷 545-551页

作者： Yang, SY Zhao, WY Huang, YZ Zhang, xq Zhang, JY CHINESE ACAD SCI SHANGHAI INST ORGAN CHEMSHANGHAI 200032PEOPLES R CHINA

Poly[ethyl trifluorobuty-2-noate] (PETFB) was prepared from ethyltrifluorobuty-2-noate by anionic polymerization. The polymer was examined by UV-Vis, IR and NMR spectrometries. It possessed pi-conjugated backbone in the main chain. No significant variation in the electrical conductivity of BF3-doped PETFB was observed after more than three months' storage, indicating improved conductive stability in air as compared with polyacetylene.

关键词： fluoro-polyacetylene doping synthesis characterization electrical conductivity

De Novo Design and Synthesis of Four-Helix Bundle Peptides

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Chinese Chemical Letters 1996年第9期7卷 809-811页

作者： Li, xq Miao, ZW Luo, Y Li, CX Tang, YQ BEIJING UNIV DEPT CHEMBEIJING 100871PEOPLES R CHINA

Two peptides (LI22 and LI29) designed to form four-helix bundle were synthesized by stepwise solid phase peptide synthesis (SPPS) using Fmoc strategy, purified by reversed phase high performance liquid chromatography ... 详细信息

关键词： Design Four De Novo Design and Synthesis of Four-Helix Bundle Peptides