ICAMS / Interdisciplinary Centre for Advanced Materials Simulation


Compact finite difference schemes of sixth order for the Helmholtz equation

G. Sutmann.

Journal of Computational and Applied Mathematics, 203, 15-31, (2007)


New compact finite difference schemes of sixth order are derived for the three dimensional Helmholtz equation, Δu - κ2u Convergence characteristics and accuracy are compared and a truncation error analysis is presented for a broad range of κ-values.

Keyword(s): Helmholtz equation; high order compact solvers; Pade approximation; combination of finite difference schemes
DOI: 10.1016/j.cam.2006.03.008
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