Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...
We present a method for solving the linear integral equation \begin {equation*}\int^T_0 R(\exp (-|x - y|)f(y) dy = S(\exp(-|t - x|)), 0 \leqq x \leqq T\end {equation*} when R and S are given by power ...
ON THE STABILITY OF FINITE-DIFFERENCE SCHEMES OF HIGHER–ORDER APPROXIMATE ONE–WAY WAVE EQUATIONS
The finite difference migration, proposed and developed by J. F. Claerbout[1], is now widely used in seismic data processing. The method has a limitation that the events are not dipping too much.
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