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Title: Newton polyhedron and applications

Conference ·
OSTI ID:481977
 [1]
  1. Institute of Applied Mathematics, Moscow (Russian Federation)

We give a simple presentation of an algorithm of selecting asymptotical first approximations of equations (algebraic and ordinary differential and partial differential). Here the first approximation of a solution of the initial equation is a solution of the corresponding first approximation of the equation. The algorithm is based on the geometry of power exponents including the Newton polyhedron. We give also a survey of applications of the algorithm in problems of Celestial Mechanics and Hydrodynamics.

OSTI ID:
481977
Report Number(s):
CONF-960503-; TRN: 97:002904-0008
Resource Relation:
Conference: 1. international conference on nonlinear problems in aviation and aerospace, Daytona Beach, FL (United States), 9-11 May 1996; Other Information: PBD: 1994; Related Information: Is Part Of First international conference on nonlinear problems in aviation & aerospace; Sivasundaram, S. [ed.]; PB: 729 p.
Country of Publication:
United States
Language:
English