Lanczos-Chebyshev pseudospectral methods for wave-propagation problems
DOI10.1016/j.matcom.2011.05.013zbMath1246.65184OpenAlexW2023936910MaRDI QIDQ435817
Boris A. Malomed, Peter Y. P. Chen
Publication date: 12 July 2012
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2011.05.013
numerical examplesperiodic solutioncomputational efficiencynonlinear Schrödinger equationssolitary wave propagationsoliton solutionpower-series expansionpseudospectral Chebyshev methodreal-time evolution methodwaves in complex media
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Complexity and performance of numerical algorithms (65Y20)
Uses Software
Cites Work
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- Iteration methods for stability spectra of solitary waves
- A comparative study of absorbing boundary conditions
- Implicit spectral methods for wave propagation problems
- Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation.
- Spectral versus pseudospectral solutions of the wave equation by waveform relaxation methods
- Segmented Lanczos-Chebyshev reduction method for convection dominated flows
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation
- A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity
- A mode elimination technique to improve convergence of iteration methods for finding solitary waves
- MIXED FINITE ELEMENTS WITH MASS-LUMPING FOR THE TRANSIENT WAVE EQUATION
- Spectral Methods for Time-Dependent Problems
- Numerical solution of two-dimensional parabolic equation subject to nonstandard boundary specifications using the pseudospectral Legendre method
- Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method
- Convergence Results for Pseudospectral Approximations of Hyperbolic Systems by a Penalty-Type Boundary Treatment
- A linearized implicit pseudo-spectral method for certain non-linear water wave equations
- A Stable Penalty Method for the Compressible Navier--Stokes Equations: II. One-Dimensional Domain Decomposition Schemes
- Spectral Methods in MATLAB
- The convergence of shooting methods for singular boundary value problems
- Spectral Methods
- Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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