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San Diego Symposium on Asymptotics and Applied Analysis to be held January 10-14, 2000 in San Diego, California

San Diego Symposium on Asymptotics and Applied Analysis to be held January 10-14, 2000 in San Diego, California
圣地亚哥渐近学和应用分析研讨会将于 2000 年 1 月 10 日至 14 日在加利福尼亚州圣地亚哥举行
批准号:
9818531
负责人:
Timothy Dunster
金额:
$2.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1999
资助国家:
美国
项目状态:
已结题
起止时间:
1999-11-01 至 2000-10-31

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中文摘要
翻译
Re: dms -9818531题目:圣地亚哥渐近与应用分析学术研讨会。M. Dunster和D. A. Lutz是2000年1月10日至14日在加州圣地亚哥州立大学举办的“圣地亚哥渐近学与应用分析研讨会”的组织者。本次会议将讨论以下三种渐近和应用分析:差分方程、常微分方程和积分定义的函数。第一种方法强调涉及特殊函数的易解方法。第二类和第三类是与指数改进的渐近和超渐近、发散解的求和、连接问题、误差分析和特殊函数的应用有关的新结果。下列11位上述领域的主要专家已表示愿意作为主要发言人参加拟议的专题讨论会:W. J. Olver(马里兰州),R. Askey(威斯康星州),W. Balser(德国乌尔姆),C。本德(圣路易斯),M. Berry(英国布里斯托尔),B. Braaksma(荷兰),P。Pham(法国尼斯)、R. Schaefke(法国斯特拉斯堡)、Y. Sibuya(明尼阿波利斯)、N. Temme(荷兰)和R. Wong(香港)。我们强烈鼓励博士后和研究生,特别是那些来自数学领域代表性不足群体的学生参加。这次会议的广泛领域是特殊函数的渐近性。渐近性的定义是指,例如,一个给定函数的近似,其性质更容易理解,或者更容易计算。特殊函数是在物理、工程和数学的许多领域中出现的某些方程的解。这是一个非常经典的数学分支,已经为我们对物理世界的理解做出了很大贡献。然而,在过去的十年中,有一系列新的和令人兴奋的想法导致了渐进方法准确性的显著提高,主要贡献者来自美国,欧洲和远东。但是,自1989年(加拿大温尼伯)以来,尽管在欧洲和亚洲已经举行了许多类似主题的会议,但北美没有举行过关于本次研讨会主题的主要会议。本次研讨会将把专家和年轻的研究人员聚集在一起,向更广泛的受众传播这些新思想,为未来的研究和合作、新的应用以及对尚未解决的更复杂问题的见解奠定基础。
英文摘要
Re: DMS-9818531Title: San Diego Symposium on Asymptotics and Applied Analysis.T. M. Dunster and D. A. Lutz are the organizers of the "San Diego Symposiumon Asymptotics and Applied Analysis" from January 10 - 14, 2000 at SanDiego State University, California. The proposed conference will havetalks falling under the following three categories in asymptotics andapplied analysis: difference equations, ordinary differential equations,and functions defined by integrals. The first of these would emphasizeasymptotic methods involving special functions. Included in the second andthird categories would be new results related to exponentially-improvedasymptotics and hyperasymptotics, summation of divergent solutions,connection problems, error analysis, and applications to special functions.The following eleven leading experts in the above fields have indicated awillingness to participate as principal speakers in the proposed symposium:F. W. J. Olver (Maryland), R. Askey (Wisconsin), W. Balser (Ulm, Germany),C. Bender (St. Louis), M. Berry (Bristol, UK), B. Braaksma (Netherlands),P. Pham (Nice, France), R. Schaefke (Strasbourg, France), Y. Sibuya(Minneapolis), N. Temme (Netherlands), and R. Wong (Hong Kong).Post-doctoral and graduate students, and especially those fromunder-represented groups in mathematics, are strongly encouraged to attend.The broad area of this conference is asymptotics of special functions.Asymptotics is defined to mean, for example, the approximation of a givenfunction in terms of a function whose properties are better understood, orwhich can be more readily computed. Special functions are solutions ofcertain equations which appear in many areas of physics, engineering andmathematics. This is a very classical branch of mathematics that hasalready contributed much to our understanding of the physical world.However, during the past decade there have been a series of new andexciting ideas leading to significant improvements in the accuracy ofasymptotic methods, with the main contributors coming from the US, Europe,and the Fareast. But since 1989 (Winnipeg, Canada) and there have been nomajor conferences in North America on the theme of this symposium, eventhough there have been many conferences on similar themes in Europe andAsia. This symposium will bring experts and younger researchers togetherto disseminate these new ideas to a wider audience and lay the groundworkfor future studies and collaboration, new applications, and insight intomore complex problems to be yet solved.
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会议论文
Uniform and Exponential Asymptotics with Applications to Orthogonal Polynomials
Mathematical Sciences: RUI: Uniform Asymptotic Approximations for Special Functions
Mathematical Sciences: Uniform Asymptotic Approximations of Mathieu Functions
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