Continuum Mechanics, Applied Mathematics and Scientiﬁc Computing: Godunov’s Legacy. A Liber Amicorum to Professor Godunov
We propose an efficient algorithm based on boundary operator equations
for the numerical simulation of time-dependent waves in 3D. The algorithm employs
the method of difference potentials combined with the (strong) Huygens’ principle
(lacunae of the solution). It can handle nonconforming boundaries on regular structured
grids with no loss of accuracy and offers sublinear computational complexity.