Uniform error bounds of a nested Picard iterative integrator for the Klein-Gordon-Zakharov system in the subsonic limit regime

• Published in: Advances in computational mathematics Vol. 51; no. 4
• Main Author: Li, Jiyong
• Format: Journal Article
• Language: English
• Published: New York Springer Nature B.V 01.08.2025
• Subjects: Discretization; Error analysis; Estimates; Incompatibility; Integrators; Nonlinear control; Picard iterations; Spectral methods

We propose a nested Picard iterative integrator Fourier pseudo-spectral (NPI-FP) method and establish the uniform error bounds for the Klein-Gordon-Zakharov system (KGZS) with ε∈(0,1] being a small parameter. In the subsonic limit regime (0<ε≪1), the solution of KGZS propagates waves with wavelen...