Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation
DOI10.1016/j.cnsns.2009.05.015zbMath1221.35324OpenAlexW1981384043MaRDI QIDQ718174
Magnar Bjørkavåg, Henrik Kalisch
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.015
spectral convergenceFourier-Galerkin methodgeneralized Korteweg de Vries equationradius of analyticity
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential convergence of a spectral projection of the KdV equation
- Tracing complex singularities with spectral methods
- Nonlinear evolution equations and analyticity. I
- An easily implementable fourth-order method for the time integration of wave problems
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Pole dynamics for elliptic solutions of the Korteweg-de Vries equation
- Construction of non-analytic solutions for the generalized KdV equation
- An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations
- Multilinear estimates for periodic KdV equations, and applications
- Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
- Applications of KdV
- The local ill-posedness of the modified KdV equation
- Rapid convergence of a Galerkin projection of the KdV equation
- Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
- On the rate of convergence of a collocation projection of the KdV equation
- Error analysis for spectral approximation of the Korteweg-de Vries equation
- Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
- Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
- A bilinear estimate with applications to the KdV equation
- Convergence of a spectral projection of the Camassa‐Holm equation
This page was built for publication: Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation
