# American Institute of Mathematical Sciences

August  2016, 36(8): 4367-4382. doi: 10.3934/dcds.2016.36.4367

## On the stability of time-domain integral equations for acoustic wave propagation

 1 209 S. 33rd Street, Department of Mathematics, Philadelphia, PA, 19104-6395, United States 2 251 Mercer St, Courant Institute, NYU, New York, NY, 10012, United States 3 Dept. of Mathematics, Southern Methodist University, PO Box 750156, Dallas, TX 75275-0156, United States

Received  April 2015 Revised  October 2015 Published  March 2016

We give a principled approach for the selection of a boundary integral, retarded potential representation for the solution of scattering problems for the wave equation in an exterior domain.
Citation: Charles L. Epstein, Leslie Greengard, Thomas Hagstrom. On the stability of time-domain integral equations for acoustic wave propagation. Discrete & Continuous Dynamical Systems - A, 2016, 36 (8) : 4367-4382. doi: 10.3934/dcds.2016.36.4367
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