Publications [#340591] of Jianfeng Lu

Papers Published

1. Gauckler, L; Lu, J; Marzuola, JL; Rousset, F; Schratz, K, Trigonometric integrators for quasilinear wave equations, Mathematics of Computation, vol. 88 no. 316 (January, 2019), pp. 717-749, American Mathematical Society (AMS) [doi]
   (last updated on 2026/01/14)

   Abstract:
   Trigonometric time integrators are introduced as a class of explicit numerical methods for quasilinear wave equations. Second-order convergence for the semidiscretization 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 Gårding inequality.