English to Spanish Science Geography tsunamis

Then, we proposed a
new method of specifying an unknown development coefficient by taking to the
inversion a priori information which the development coefficients of the adjoined
unknown parameters are smooth. And, it was shown that the tsunami initial
displacement of water surface can be estimated by using this method due to the error
with a small.

yo lo entendí como que existe un pequeño margen de error al utilizar este método, pero me gustaría que me corriegieran si me equivico. Gracias!