Computing the Dirichlet--Neumann Operator on a Cylinder
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Publication:5232283
DOI10.1137/18M1204796zbMath1423.35301arXiv1808.00658OpenAlexW2887903596WikidataQ127759900 ScholiaQ127759900MaRDI QIDQ5232283
Publication date: 2 September 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00658
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Free-surface potential flows for incompressible inviscid fluids (76B07) Euler equations (35Q31)
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Cites Work
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- Accurate spectral numerical schemes for kinetic equations with energy diffusion
- Near-field imaging of biperiodic surfaces for elastic waves
- Numerical simulation of a weakly nonlinear model for water waves with viscosity
- Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions
- Numerical simulation of gravity waves
- A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
- Finite depth gravity water waves in holomorphic coordinates
- Tensor calculus in polar coordinates using Jacobi polynomials
- A spectral method for polar coordinates
- Gravity waves on the surface of the sphere
- Stable, high-order computation of traveling water waves in three dimensions
- A new approach to analyticity of Dirichlet-Neumann operators
- Faraday pilot-wave dynamics: modelling and computation
- Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
- A Rigorous Numerical Analysis of the Transformed Field Expansion Method
- Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
- Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries
- On the use of Hahn’s asymptotic formula and stabilized recurrence for a fast, simple and stable Chebyshev–Jacobi transform
- Well-posedness of the water-waves equations
- Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
- INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES
- Spectral Methods
- On a new non-local formulation of water waves
- Orthogonal Polynomials of Several Variables