An Explicit Scheme for the Prediction of Ocean Acoustic Propagation in Three Dimensions.
YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
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Because of excessive computation time, solving the parabolic equation in higher dimensions by means of implicit finite difference schemes seems to be impracticle even if the scheme is unconditionally stable. To economize the computation time and computer storage, a stable explicit finite difference scheme is introduced for the solution of the parabolic equation of the Schroedinger type. This explicit scheme involves five spatial points and is conditionally stable by introducing and additional dissipative term. The complete theory with respect to the stability is proved. An application to a three-dimensional ocean acoustic propagation problem is included to demonstrate its validity.
- Physical and Dynamic Oceanography