Klein-Gordon-Zakharov systems in high-frequency regimes (B01)

• Subject Area: Mathematics
• Term: from 2015 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

The simulation of the Klein-Gordon-Zakharov system in high-plasma-frequency and subsonic limit regimes is numerically very delicate due to the highly oscillatory behavior of the solution. Our idea is the construction of efficient robust time integrators based on the analysis of the limit approximations. This asymptotic approach allows us to filter out the high oscillations in the exact solution explicitly and to reduce the numerical task to the integration of the corresponding non-oscillatory limit systems. The synergy between analysis and numerics aims to state sharp approximation bounds for this numerical ansatz (consisting of the asymptotic approximation of the solution and the time integration of the limit systems).

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie
• Co-Applicant Institution: Universität Stuttgart
• Project Heads: Professor Dr. Guido Schneider; Professorin Dr. Katharina Schratz