Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

1 2019

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Gauss-Hermite quadrature

Sortuj według:

Ogranicz wyniki do:

Fourier Image Methods for Evolution Equations of Deep-Water Waves

Jankowski Jan, Leszczyński Henryk

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

2019

Vol. 23, No 3

261--268

The velocity potential of the fluid satisfies the Laplace equation with nonlocal boundary conditions on a free surface. This differential problem is transformed to an evolution equation in Fourier variables. The Fourier transform images of boundary functions are approximated by Picard's iterations and the method of lines on meshes related to roots of Hermite polynomials. Due to convolutions of sine and cosine functions the integral terms of Picard's iterations reveal unexpected instabilities for wave numbers in a neighborhood of zero.