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Numerical methods for hyperbolic and kinetic problems : : CEMRACS 2003, Summer Research Center in Mathematics and Advances in Scientific Computing, July 21- August 29, 2003, CIRM, Marseille, France / Editors Stéphane Cordier ... [et al.].

Tác giả : Editors Stéphane Cordier ... [et al.].

Nhà xuất bản : European Mathematical Society

Năm xuất bản : 2005

Nơi xuất bản : Germany

Mô tả vật lý : viii, 359 p. : ill. ; 24 cm

ISBN : 3037190128

Số phân loại : 518

Tùng thư : IRMA Lectures in mathematics and theoretical physics 7

Chủ đề : 1. Giải tích số. 2. Phương trình vi phân, Hyperbolic. 3. Differential equations, Hyperbolic. 4. Numerical analysis. 5. Giải tích số.

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Tóm tắt :

There is a rich and historical relationship between theoretical physics and number theory. This volume presents a selection of problems which are currently in full development and inspire a lot of research. Each of the seven contributions starts with an introductory survey which makes it possible even for non-specialists to understand the results and to gain an idea of the great variety of subjects and techniques used. Topics covered are: phase locking in oscillating systems, crystallography, Hopf algebras and renormalisation theory, Zeta-function and random matrices, Kloosterman sums and the local Langlands correspondence. Intended for research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of recent developments in an exciting subject crossing several disciplines. A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

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