Computational wave propagation

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This IMA Volume in Mathematics and its Applications, focused on COMPUTATIONAL WAVE PROPAGATION, stems from a workshop integral to the 1994-1995 IMA program on "Waves and Scattering." Acknowledgments go to Bjorn Engquist and Gregory A. Kriegsmann for their efforts in organizing the meeting and editing the proceedings, as well as to the National Science Foundation, the Army Research Office, and the Office of Naval Research for their financial support. The field of wave propagation and scattering, rooted in classical theories, has thrived over the past 50 years. Scientists, engineers, and mathematicians have developed advanced asymptotic and numerical tools to tackle increasingly complex problems, driven by evolving technologies focused on information transmission and energy efficiency. The vitality of this field continues, as the demand for precise quantification, measurement, and control of wave propagation and scattering in complex environments presents ongoing scientific and mathematical challenges. These challenges push the boundaries of analysis and computation, reminiscent of past advancements. Contemporary technological issues include utilizing underwater sound to monitor global warming and embedding phase-sensitive amplifiers in optical fibers for long-range digital communication.