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This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado.The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids.This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.
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This volume contains selected papers based on presentations given at the AMS Special Session on Inverse Problems: In Memory of Professor Zbigniew Oziewicz at the AMS Fall Western Sectional Meeting, held virtually on October 23-24, 2021, a year after the unfortunate passing of our friend and frequent participant of the sessions Professor Zbigniew Oziewicz. These sessions have been held approximately annually since 1999 and served as interdisciplinary meetings with special emphasis, due to personal interests of the ""core participants,"" on such topics as low-dimensional topology and knot theory (where the inverse problem is the description of a knotted structure in terms of its invariants), mathematical physics and other sciences (where the inverse problem is the reconstruction of a theory on the basis of experimental results), and selected issues in computer science (e.g., physics and mathematics aspects of quantum computing and game theory).