A new approach to analyticity of Dirichlet-Neumann operators

By David P. Nicholls, Fernando Reitich. Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2001

141 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/8ef7d947b86b1fb0d24f56c3618cd6bc669b094a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. David Lannes
2. Borys Álvarez-Samaniego
3. David P. Nicholls
4. Fernando Reitich

In Computational Theory and Mathematics

1. Borys Álvarez-Samaniego
2. David Lannes
3. David P. Nicholls
4. Fernando Reitich
5. Thomas Alazard
6. Nader Masmoudi
7. Steve Shkoller
8. Daniel Coutand

In Numerical Analysis

1. David Lannes
2. Borys Álvarez-Samaniego
3. David P. Nicholls
4. Fernando Reitich

Citations in the corpus

• Large time existence for 3D water-waves and asymptotics (2007, methodology): “This method has been used in the long-waves regime in [5,32,9] (see also [39]) where the corresponding expansions of the DN operator can be found.”
• Well-posedness of the water-waves equations (2005, methodology): “More recently, Nicholls and Reitich [28] addressed the analyticity of the Dirichlet-Neumann operator using a simple method based on a change of variables (see also [2]).”
• Long Wave Approximations for Water Waves (2005, unknown): “Note also that a similar approach is used in [18].”
• Stability of High-Order Perturbative Methods for the Computation of Dirichlet-Neumann Operators (2001, methodology): “Indeed, although the results in (4, 7, 8, 10, 26 ) do guarantee the convergence of the expansion (6), the validity of these recursions demands more careful consideration.”