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Доповіді НАН України. – 2008. – N 3. – С. 103–108.
Интерполяционные сплайны в обратной задаче сейсмометрии с произвольными начальными условиями
А.С. Костинский
Abstract
Direct and inverse problems of ''classic'' seismometry with arbitrary
initial conditions are considered. A general analytical solution of the
direct problem expressed through characteristic numbers of the primary
matrix for a pendulum — galvanometer system is suggested. A solution of the
inverse problem is constructed for the situation where the record is
assigned by its values in nodes of some (generally speaking, nonuniform)
net. Spline structures as a tool of approximation of the record function are
used; the role of boundary conditions is analyzed. The results can be used
for the computation of theoretical accelerograms and the processing
(interpretation) of earthquake records.
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