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Natural boundary element method for elliptic boundary value problems in domains with concave angle

Journal of Marine science and Technology 2001年第2期9卷 75-83页

作者： Du, Qi-Kui Yu, De-Hao Sch. of Math. and Computer Science Nanjing Normal University Nanjing 210097 China Inst. Compl. Math./Sci./Eng. Comp. Acad. of Math. and System Science Chinese Academy of Sciences Beijing 100080 China

In this paper the natural boundary reduction for some elliptic boundary value problems with concave angle domains and its natural boundary element methods are investigated. Natural integral equations and Poisson integral formulae are given. A finite element methods of natural integral equations are discussed in details. The convergence of approximate solutions and their error estimates are obtained. Some numerical experiments are presented to demonstrate the performance of the method and our estimates. As an application, we present the coupling of FEM and natural boundary element.

关键词： Marine applications

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Another Free Boson Representation of Yangian Double DY_{(Latin small letter h with stroke)}(sl_N) with Arbitrary Level

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Communications in Theoretical Physics 2001年第2期35卷 167-172页

作者： Hou, Bo-Yu Zhao, Liu Ding, Xiang-Mao Institute of Modern Physics Northwest University Xi'an 710069 China Institute of Applied Mathematics Acad. of Math. and System Science Chinese Academy of Sciences Beijing 100080 China Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100080 China

We derive a free boson representation of the Yangian double DY(Latin small letter h wiht stroke)(slN) with arbitrary level k by the observation that there is a correspondence between the q-affine algebra and Yangian d... 详细信息

We derive a free boson representation of the Yangian double DY_{(Latin small letter h wiht stroke)}(sl_N) with arbitrary level k by the observation that there is a correspondence between the q-affine algebra and Yangian double associated with the same Cartan matrix. Vertex operator and screening currents cannot be obtained in the same way. From this point of view, the Yangian double with centre cannot be regarded as the degenerated case of the quantum affine algebra.

关键词： Free field realization Yangian double

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Lattice Boltzmann simulation for the spiral waves in the excitable medium

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Communications in Nonlinear science and Numerical Simulation 2000年第4期5卷 147-150页

作者： Guangwu YAN and Li YUAN (Institute of Computational math.matics, acad.my of math.matics and system sciences, Chinese acad.my of sciences, Beijing 100080, China e-mail: lyuan＠*** Department of math.matics, Jilin University, Chanychun 130023, Ch Inst. of Computational Mathematics Acad. of Math. and System Sciences Chinese Academy of Sciences Beijing 100080 China Department of Mathematics Jilin University Changchun 130023 China

We propose lattice Boltzmann method for the spiral waves. Using Chapman-Enskog expansion and multiscales technique, we obtain equilibrium distribution functions of the model. As an example, we simulate the Selkov rea... 详细信息

关键词： lattice Boltzmann method excitable medium Selkov system spiral waveL

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On the minimal-order of dynamic output regulators

On the minimal-order of dynamic output regulators

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Proceedings of the 3th World Congress on Intelligent Control and Automation

作者： Wang, Jin-Zhi Zhang, Ji-Feng Institute of Systems Science Acad. of Math. and Systems Science Chinese Academy of Sciences Beijing 100080 China

In this paper, the minimal-order problem of the dynamic output regulators of linear time-invariant systems is considered, and a new lower bound for the minimal-order is given. Unlike in previous works, the lower bound presented here is a simple function of the system dimension and ranks of the input and output matrices, which computation involves in neither rank minimization problem nor semi-definite programming problem. An example is given to illustrate the non-conservativeness of the lower bound.

关键词： Linear control systems

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Some developments of the natural boundary element method

Some developments of the natural boundary element method

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Twenty-Second International Conference on the Boundary Elements Method, BEM XXII

作者： Yu, D. Inst. Compl. Math./Sci./Eng. Comp. Acad. of Math. and System Sciences Chinese Academy of Sciences Beijing 100080 China

In this paper some new developments of the natural boundary element method are presented. Based on the natural boundary reduction, some new domain decomposition methods, which are very effective for solving exterior problems, are suggested, and the natural integral operators play a very important role in the domain decomposition. The natural boundary element method for 3-d elliptic problems are developed. This method is also applied to solve 2-d problems of some parabolic and hyperbolic equations. Based on the natural boundary integral operator and the Poisson integral formula for the exterior elliptic domain, a coupling method and a domain decomposition method are developed for solving problems over some elongated exterior domains. Some numerical examples show the feasibility and efficiency of these methods.

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Conditional concatenation

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Fundamenta Informaticae 2000年第4期44卷 353-372页

作者： Dassow, Juergen Martin-Vide, Carlos Paun, Gheorghe Rodriguez-Paton, Alfonso Otto-von-Guericke Univ. Magdeburg Fakultät für Informatik D-39016 Magdeburg PSF 4120 Germany Res. Grp. Math. Ling. and Lang. Eng. Rovira i Virgili University 43005 Tarragona Pca. Imperial Tarraco 1 Spain Inst. of Math. of the Romanian Acad. 70700 Bucureşti PO Box 1 - 764 Romania Dept. of Artificial Intelligence Faculty of Computer Science Politechnical University of Madrid Boadilla del Monte 28660 Madrid Spain

Inspired from biochemistry and DNA computing, we introduce several variants of controlled concatenation of strings and languages: a finite set of pairs of strings is given and two arbitrary strings are concatenated only when among their substrings (scattered substrings, of various forms) we can find a pair in this control set. Five types of non-iterated and iterated (like Kleene closure) conditional concatenations are considered. The closure properties of abstract families of languages (hence also of families in the Chomsky hierarchy) are settled. They are similar to the closure properties under usual concatenation and Kleene closure: A representation of regular languages in terms of these operations (and a coding) is also given. Then, we use the new concatenation operations as basic operations in Chomsky grammars: rewriting a nonterminal means concatenating a new string with the strings to the left and the right of that nonterminal, hence restricted concatenations can be used. Context-free grammars working in this restricted manner can generate non-context-free languages;in one case, characterizations of recursively enumerable or of context-sensitive languages are obtained, depending on using or not erasing rules. Some topics for further research are also suggested.

关键词： closure under controlled concatenation characterization of regular languages

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On the nonexistence of quaternary [51, 4, 37] codes

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Finite Fields and their Applications 1996年第1期2卷 96-110页

作者： Landgev, I. Maruta, T. Hill, R. Institute of Mathematics 1113 Sofia 8 Acad. G. Bonchev str Bulgaria Meijo University Junior College Division Tenpaku Nagoya Japan Dept. of Math. and Computer Science University of Salford Salford M5 4WT United Kingdom

In this paper we prove the nonexistence of quaternary linear codes with parameters [51, 4, 37]. This result gives the exact value of nq(k, d) for q = 4, k = 4, d = 37 and 38. These were the only minimum distances for ...

In this paper we prove the nonexistence of quaternary linear codes with parameters [51, 4, 37]. This result gives the exact value of n_q(k, d) for q = 4, k = 4, d = 37 and 38. These were the only minimum distances for which the optimal length of a four-dimensional quaternary code was unknown. The proof is geometrical and relies heavily on results about the structure of certain sets of points in PG(2, 4). © 1996 acad.mic Press, Inc.

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Laser induced phase transformations in vanadium oxides

Laser induced phase transformations in vanadium oxides

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LEOS Summer Topical Meetings

作者： B.K. Kotlyarchuk D.I. Popovych V.K. Savchuk V.G. Savytskiy Inst. of Appl. Problems of Mech. & Math. Acad. of Sci. Lviv Ukraine Laboratory of Laser Technology in Material Science Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine Lviv Ukraine Institute of Applied Physics Lviv State University Lviv Ukraine

Summary form only given, as follows. The authors show that structural and phase transformation in the V/sub 2/O/sub 5/-VO/sub 2/ system is connected with processes stimulated by laser radiation in the volume of the crystal V/sub 2/O/sub 5/. In the structure of the vanadium pentoxide there are channels in the direction [001] and [010] with effective diameter of 2 Å. Along these channels oxygen diffusion to the crystal surface takes place stimulated by the laser radiation.

关键词： Switches Laser theory Power lasers Semiconductor lasers Conductivity Materials science and technology Absorption Crystals Optical pulses Temperature

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ON NIRENBERG'S PROBLEM

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International Journal of math.matics 1993年第1期4卷 35-58页

作者： KUNG CHING CHANG JIA QUAN LIU Dept. of Math. Peking University Beijing 100871 China Dept. of Math. Graduate School Acad. Science Beijing 100039 China

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MPSA abstracts

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Journal of Protein Chemistry 1994年第5期13卷 515-543页

作者： Aminlari, Mahmoud Asquith, Thomas Sarlo, Katherine Bailey, Jerome M. Tu, Oanh Issai, Gilbert Ha, Alice Shively, John E. Bell, Alexander W. Baur, Nicole C. Bergeron, John J. M. Ou, Wei -Jia Thomas, David Y. Cianflone, Katherine Baldo, Allain Hincke, Maxwell T. Momparler, Richard L. Laliberté, Josée Thomson, David M. P. Sutherland, M. Besada, Vladimir Gonzalez, Javier Padron, Gabriel Garay, Hilda Reyes, Osvaldo Takao, Toshifumi Shimonishi, Yasutsugu Bischoff, Rainer Roecklin, Dominique Bouchon, Bernadette Klarskov, Klaus Van Dorsselaer, Alain Brake, Patricia G. Pacitti, Anne Higgins, Terry Stevis, Panos Malinowski, John McElhiney, Sue Huang, Janes Vestal, Christine Buckel, Scott D. Stevenson, Tracy Loo, Joseph A. Caffrey, Martin Wang, Jin Wallace, Carmichael J. A. Clark-Lewis, Ian Carraway, C. A. Carothers Huang, J. Li, Y. Juang, S. -H. Gallo, A. Mayer, B. J. Carraway, K. L. Coleman, Patrick L. Sarpong, Daniel Deerfield, David W. Holland-Minkley, Amanda Hempel, John D. Nicholas, Hugh B. Denslow, Nancy D. Folmar, Leroy C. Sullivan, Craig V. Dixon, James D. Mark, Jonathan P. Elicone, Christopher P. Maleknia, Simin D. McGuinness, Brian F. Regnier, Fred E. Afeyan, Noubar B. Dolence, Julia M. Poulter, C. Dale Egorov, Tsezi Musolyamov, Alexander Popineau, Yves Andersen, Jens Roepstorff, Peter Falkenstein, Roberto J. Biscoglio de Jiménez Bonino, Mirtha J. Peña, Clara Gauggel, D. L. Asquith, T. N. Isfort, R. J. Miller, N. S. Cody, D. B. Giblin, Michael F. Wong, Tuck C. Quinn, Thomas P. Grant, Gregory A. Crankshaw, Mark W. Griffith, Scott Schroeder, Steve Quinn, Thomas Guinet, F. Petillot, Y. Chapsal, J. M. Dubayle, J. Greco, F. Barge, O. Forest, E. Valentin, C. Hahn, Frederick M Baker, Jonathan A. Haniu, Mitsuru Kenney, William C. Rohde, Michael F. Harman, James G. Lee, Eun Ju Glasgow, Joel Lew, Sew Fen Belduz, Ali O. Harris, Reed J. Molony, Michael S. Keyt, Lene H. Wu, Shiaw -Lin Hawke, David H. Tso, Jaqueline Early, Sherrell Miller, Chad G. Hayman, G. Thomas Miernyk, Jan A. Hellman, Ulf Wernstedt, Christer Góñez, Jorge H Department of Biochemistry School of Veterinary Medicine Shiraz University Shiraz Iran Corporate Professional & Regulatory Services/Human Safety Dept. The Procter & Gamble Co. Cincinnati Division of Immunology Beckman Research Institute of the City of Hope Duarte Protein Analytic Facility Sheldon Biotechnology Centre USA McGill University Montreal Department of Anatomy USA Biotechnology Research Institute NRC Canada Division of Cardiology Royal Victoria Hospital USA Department of Anatomy University of Ottawa Faculty of Health Science Ottawa Centre de Recherche Pediatrique Hôpital Ste-Justine Université de Montréal Montreal Department of Immunology Montreal General Hospital USA Center for Genetic Engineering & Biotechnology Cuba Institute for Protein Research Osaka University Osaka Japan Protein Analytical Group TRANSGENE S.A. Strasbourg Cedex France Vakgroep Biochemie Fysiologie en Microbiologie Gent Belgium Laborat. de Spectrométrie de Masse Bioorganique URA 31 CNRS Université Louis Pasteur Strasbourg Cedex France Sterling winthrop Inc. Collegeville Lexin Pharmaceutical Corporation Horsham PerSeptive Biosystems Houston Parke-Davis Pharmaceutical Research Division of Warner Lambert Company Ann Arbor Dept. of Chemistry The Ohio State University Columbus USA Dept. of Biochemistry Dalhousie University Halifax Canada Biomedical Research Center University of British Columbia Vancouver Canada Dept. of Biochem. & Molec. Biol. Univ. of Miami Sch. of Medicine Miami The Rockefeller Institute New York Dept. of Cell Biol. & Anat. Univ. of Miami Sch. of Medicine Miami Biosciences Laboratory 3M Co. St. Paul Pittsburgh Supercomputing Center Pittsburgh Department of Molecular Genetics/Biochemistry University of Pittsburgh Pittsburgh Dept. Biochem. and Mol. Biol. University of Florida Gainesville U.S. Environmental Protection Agency Gulf Breeze Dept. Zoology North Carolina State University Raleigh PerSeptive Biosystems Inc. Cambridge Department of Chemistry Univ

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