Title: Trigonometric integrators for quasilinear wave equations,
Abstract: Trigonometric time integrators are introduced as a class of explicit
numerical methods for quasilinear wave equations. Second-order convergence for
the semi-discretization in time with these integrators is shown for a
sufficiently regular exact solution. The time integrators are also combined
with a Fourier spectral method into a fully discrete scheme, for which error
bounds are provided without requiring any CFL-type coupling of the
discretization parameters. The proofs of the error bounds are based on energy
techniques and on the semiclassical G\aa rding inequality.