Cosine Methods for Second-Order Hyperbolic Equations With Time-Dependent Coefficients
Cosine Methods for Second-Order Hyperbolic Equations With Time-Dependent Coefficients
We analyze efficient, high-order accurate methods for the approximation of the solutions of linear, second-order hyperbolic equations with time-dependent coefficients.The methods are based on Galerkin-type discretizations in space and on a class of fourth-order accurate, two-step, cosine time-stepping schemes.Preconditioned iterative techniques are used to solve linear systems with the same …