Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: a numerical study
DOI10.1016/j.cam.2023.115510zbMath1526.35350arXiv2210.13622OpenAlexW4386002626MaRDI QIDQ6056188
Nilima Nigam, Javier A. Almonacid
Publication date: 30 October 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.13622
singular solutionsspectral methodspseudo-differential operatorsembedded eigenvaluesenergy manifoldsinternal wave attractors
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for PDEs with pseudodifferential operators (35S10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the well-posedness of the stochastic Allen-Cahn equation in two dimensions
- Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- Flows on 2-dimensional manifolds. An overview
- Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing method
- Dynamics of resonances for 0th order pseudodifferential operators
- Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves
- A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers
- On stationary modes in inviscid rotating fluids
- Microlocal analysis of forced waves
- Inertial waves in a rotating spherical shell: attractors and asymptotic spectrum
- Complex singularities and PDEs
- Stochastic stability of Pollicott–Ruelle resonances
- Wave attractors and the asymptotic dissipation rate of tidal disturbances
- Observations on the wavenumber spectrum and evolution of an internal wave attractor
- Pseudo-Differential Operators and Symmetries
- Numerical simulation of a two-dimensional internal wave attractor
- Spectral Methods in MATLAB
- Viscosity Limits for Zeroth‐Order Pseudodifferential Operators
- Attractors for Two‐Dimensional Waves with Homogeneous Hamiltonians of Degree 0
- Mathematical Theory of Scattering Resonances
- Fourth-Order Time-Stepping for Stiff PDEs
- WAVE ATTRACTORS: LINEAR YET NONLINEAR
- Real and functional analysis
This page was built for publication: Characterization of singular flows of zeroth-order pseudo-differential operators via elliptic eigenfunctions: a numerical study