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KIAM Preprint № 23, Moscow, 2006
Authors: Lapik M. A.
Numerical procedure of determining of the supports of the equilibrium measures and sets of equilibrium in the extremal tasks of logarithmic potential theory
Abstract:
We present the procedures of determining of the supports of the equilibrium measures and sets of equilibrium which base on minimizing of some extremal functionals. We propose the method of finding set of equilibrium in case the support of the equilibrium measure SμQχ,σ and set Sσ-μQχ,σ , where a constraint is not hit are intervals. As examples we discussed a contact problem in elasticity and zero asymptotics of Krawtchouk polynomials.
Publication language: russian
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Lapik Maria Alexandrovna,  KIAM RAS