Abstract

The Eighteenth Copper Mountain Conference on Iterative Methods was held March 25--30, 2018, in Copper Mountain, Colorado. The meeting featured more than 170 presentations on a broad range of topics in scientific computing, such as optimization, randomized algorithms, asynchronous solvers, inverse-problem solvers, saddle-point and indefinite problems, multigrid and multilevel solvers, nonlinear solvers, uncertainty quantification, rank structured solvers, parallel solvers in time and space, advanced architectures, and applications in physics and fluid mechanics, Earth sciences, imaging, data science, and other areas. The number of attendees was a record-high 210, including 73 (35%) graduate students. Michele Benzi of Emory University (currently at Scuola Normale Superiore in Pisa) and Ray Tuminaro of Sandia National Laboratories served as conference co-chairs. This was Ray's last Copper Mountain Conference as co-chair after having served since 2010. On behalf of the scientific committee, we are truly grateful to Ray for his exceptional leadership and service. Management services were provided by Annette Anthony of Front Range Scientific Computations, Inc. We gratefully acknowledge financial support for the conference from Argonne National Laboratory, the Department of Energy, IBM, Lawrence Berkeley National Laboratory, Lawrence Livermore National Laboratory, Los Alamos National Laboratory, and Sandia National Laboratories. The Copper Mountain Conference is organized in cooperation with the Society for Industrial and Applied Mathematics (SIAM). Submissions to this special section were open to the scientific community, as advertised in advance on websites of the SIAM Journal on Scientific Computing (SISC) and the Copper Mountain Conference. The 20 papers in this section all center on iterative methods, and yet they cover a broad range of topics and include theoretical developments, algorithms and applications. Some of the papers are extensions of manuscripts which appeared in the student paper competition of the conference, continuing a long tradition of strong participation and contribution of talented graduate students in the field. We are grateful to SIAM and SISC for hosting this special section and to the editorial board and the referees, who worked hard to ensure a rigorous peer-review process while meeting the deadlines. Special thanks are extended to Brittni Holland (SIAM Editorial Associate) and Mitch Chernoff (SIAM Publications Manager) for their efforts. We hope that the diverse and high-quality research reported in this special section will encourage further exciting developments in this important field. Irad Yavneh Guest Editor Guest Associate Editors: Michele Benzi, Xiao-Chuan Cai, Luis Chacon, Iain Duff, Howard Elman, Kirk Jordan, Tim Kelley, Misha Kilmer, Sven Leyffer, Xiaoye Sherry Li, Tom Manteuffel, James Nagy, Kengo Nakajima, Luke Olson, Geoff Sanders, Robert Scheichl, John Shadid, David Silvester, Andreas Stathopoulos, Ray Tuminaro, Karen Willcox, Carol Woodward

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