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NUMERICAL PROCESSING OF TWO-RAY AND SHEAR AXISYMMETRIC PLASMA INTERFEROGRAMS BY MEANS OF CUBIC SPLINES AND LOCAL LEAST-SQUARES METHOD

F. M. Abzayev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1986. Вып.1. С. 68-74.

      Solution of the Abelian equation is considered using representation of the input function as a cubic spline on an irregular mesh. Algorithm of smoothing test function with the local least-squares method is described. Efficiency of Irregular mesh is shown. The scheme of shear interferogram processing by the method of picewise regeneration of the proper ray phase increment in plasma is described.
      The program performance is tested on model functions, errors being introduced into input data. It is shown that with error dispersion of 0,2 of the interference band the electron concentration computational error in fully ionized plasma in 1-0,01 density range of critical concentration does not exceed 10%.










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