Abbreviations
- L:
-
differential operator
- u(x), f(x):
-
measured and unknown functions
- p(x), q(x), r(x):
-
coefficients in the differential equation
- Ω:
-
region of function determination
- B nk (x):
-
k-thbasic spline of order n
- ɛs :
-
error in solution of the linear equation system
- ɛI :
-
interpolation error
- ωH(f):
-
modulus of the discontinuity of f(x) in the interval of length H
- h:
-
measuring interval step
- σ:
-
standard deviation of measurement error
Literature cited
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Irregular Problems [in Russian], Nauka, Moscow (1979).
Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko, Spline-Function Methods [in Russian], Nauka, Moscow (1980).
G. I. Marchuk, Methods of Numerical Mathematics, Springer-Verlag (1975).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 45, No. 5, pp. 818–821, November, 1983.
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Kaminskas, V.A., Sakalauskas, É.I. Identification of a source function by B-spline regularization. Journal of Engineering Physics 45, 1309–1311 (1983). https://doi.org/10.1007/BF01254741
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DOI: https://doi.org/10.1007/BF01254741