Stability of High-Order Perturbative Methods for the Computation of Dirichlet-Neumann Operators

By David P. Nicholls, Fernando Reitich. 2001

121 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/209b8847f1118df6f4815ae167d528f93a3e21a4

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Citations in the corpus

• An efficient model for three-dimensional surface wave simulations (2005, background): “While standard expansion methods suffer from significant ill-conditioning problems, alternative pertur- 290 bative approaches for problems in 2D, leading to a stable evaluation of the Dirichlet to Neumann operator, 291 are studied by Nicholls and Reitich [26].”