Space/time convergence analysis of a class of conservative schemes for linear wave equations

作者：Chabassier Juliette^*; Imperialec Sebastien

来源：Comptes Rendus Mathematique, 2017, 355(3): 282-289.

DOI：10.1016/j.crma.2016.12.009

This paper concerns the space/ time convergence analysis of conservative two-step time discretizations for linear wave equations. Explicit and implicit, second-and fourth-order schemes are considered, while the space discretization is given and satisfies minimal hypotheses. Convergence analysis is done using energy techniques and holds if the time step is upper-bounded by a quantity depending on space discretization parameters. In addition to showing the convergence for recently introduced fourth-order schemes, the novelty of this work consists in the independency of the convergence estimates with respect to the difference between the time step and its greatest admissible value.

• 出版日期2017-3