Björn Engquist Boeken

This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only.

Multiscale problems naturally pose severe challenges for computational science and engineering. The smaller scales must be well resolved over the range of the larger scales. Challenging multiscale problems are very common and are found in e. g. materials science, fluid mechanics, electrical and mechanical engineering. Homogenization, subgrid modelling, heterogeneous multiscale methods, multigrid, multipole, and adaptive algorithms are examples of methods to tackle these problems. This volume is an overview of current mathematical and computational methods for problems with multiple scales with applications in chemistry, physics and engineering.

EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.

It has been 30 years since the ARPA-net, the foundation for digital communication, began operations. The evolution of networks from early electronic mail and file transfers to today's Internet has been extraordinary, developing at a pace that outstrips even advancements in computing and storage technologies. Within just five years of commercialization, the Internet has become as ubiquitous as the telephone was three decades after its launch. In the U.S., the Internet industry now surpasses the auto industry, which has been around for about a century. The rapid growth in communication, computing, and storage capabilities is transforming scientific and engineering practices. Large-scale simulations in fields like chemistry, physics, and engineering can now generate data sets ranging from several terabytes to petabytes. Almost all measurements today yield digital data, whether from sensors, 3D images, or video. These complex data sets necessitate advanced visualization and data-mining techniques for comprehension. Additionally, data may be stored in various locations, with analysis often conducted by teams spread across different sites, sometimes far from essential storage and computation resources. Emerging computational Grids facilitate the seamless use of remote instruments and resources for computation and data analysis.

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.