Cosine Methods for Second-Order Hyperbolic Equations With Time-Dependent Coefficients

@inproceedings{Bales2010CosineMF,
  title={Cosine Methods for Second-Order Hyperbolic Equations With Time-Dependent Coefficients},
  author={Laurence A. Bales and Yassilios A. Dougalis and Steven M. Serbin},
  year={2010}
}
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 operator at each time step. The schemes are supplemented by single-step high-order starting procedures… CONTINUE READING

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