A spectral method for nonlinear wave equations

DOI10.1016/0021-9991(87)90091-XzbMath0637.65116MaRDI QIDQ1098597

Natalia Sternberg

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationradially symmetric solutionscollocationapproximation by Bessel functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Onset of chaos in differential delay equations ⋮ Modal spectral element method in curvilinear domains ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable standing waves of nonlinear Klein-Gordon equations
• Orbital stability of standing waves for some nonlinear Schrödinger equations
• Instability of nonlinear bound states
• Symmetry and related properties via the maximum principle
• Invariant wave equations. Proceedings of the Ettore Majorana international school of mathematical physics held in Erice, June 27 to July 9, 1977
• Saddle points and instability of nonlinear hyperbolic equations
• Blow up Near Higher Modes of Nonlinear Wave Equations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

This page was built for publication: A spectral method for nonlinear wave equations