Implicit spectral methods for wave propagation problems
DOI10.1016/0021-9991(91)90002-3zbMath0746.65075OpenAlexW1979457903MaRDI QIDQ1181873
Charles E. Southwell, L. Ridgway Scott, Joseph F. McGrath, Stephen B. Wineberg, Edward F. Gabl
Publication date: 27 June 1992
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(91)90002-3
stabilitywave propagationnumerical examplessolitonsnonlinear wave equationpredictor-corrector methodsCrank-Nicolson schemeKorteweg-de Vries equationKadomtsev- Petviashvili equationsimplicit spectral methods
Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
- Theta functions and non-linear equations
- Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation
- An Analytical Model of Periodic Waves in Shallow Water
- The inverse scattering transform: Semi-infinite interval
- Spectral Calculations of One-Dimensional Inviscid Compressible Flows