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Regular version of the site

Book

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov’s Legacy. A Liber Amicorum to Professor Godunov

Springer, 2020.
Petropavlovsky S., Tsynkov S., Turkel E.
Under the general editorship: G. V. Demidenko, E. Romenski, E. Toro, M. Dumbser.

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.





Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov’s Legacy. A Liber Amicorum to Professor Godunov