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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 …