Error estimates for 3‐D computational schemes of wave propagation

Abstract

For several computational schemes in underwater wave propagation, stability and consistency bounds are known that imply corresponding rates of convergence. It is shown, in some cases, how this information can be improved to yield explicit bounds for the truncation error between the exact solution of a continuous problem and the approximating solution generated by the computational scheme. In particular, those bounds are demonstrated for an implicit finite difference scheme in three dimensions.