Foundations of Computational Mathematics, Budapest 2011, London Mathematical Society Lecture Note Series 403

BELTRAN, C.; CARLSSON, G.; CHRISTIANEN, S.H.; RITTER, K.; GRUNBAUM, A.; LUBICH, CH.; HOU, T.Y.; HUBERT, E.; MUNTHE-KAAS, H.; STEIN, W.

London Mathematical Society

Lugar: Londres; Año: 2013 p. 238

978-1-107-60407-0

The Society for the Foundations of Computational Mathematics supportsand promotes fundamental research in computational mathematicsand its applications, interpreted in the broadest sense. It fosters interactionamong mathematics, computer science and other areas of computationalscience through its conferences, workshops and publications.As part of this endeavour to promote research across a wide spectrum ofsubjects concerned with computation, the Society brings together leadingresearchers working in diverse fields. Major conferences of the Societyhave been held in Park City (1995), Rio de Janeiro (1997), Oxford(1999), Minneapolis (2002), Santander (2005), Hong Kong (2008), andBudapest (2011). The next conference is expected to be held in 2014.More information about FoCM is available at its website http://focmsociety.org.The conference in Budapest on July 4 – 14, 2011, was attended bysome 450 scientists. FoCM conferences follow a set pattern: mornings aredevoted to plenary talks, while in the afternoon the conference dividesinto a number of workshops, each devoted to a different theme withinthe broad theme of foundations of computational mathematics. Thisstructure allows for a very high standard of presentation, while affordingendless opportunities for cross-fertilization and communication acrosssubject boundaries. Workshops at the Budapest conference were held inthe following nineteen fields:– Approximation theory– Asymptotic analysis and high oscillation– Computational algebraic geometry– Computational dynamics– Computational harmonic analysis, image and signal processing– Computational number theory– Continuous optimization– Flocking, swarming, and control of distributed systems– Foundations of numerical PDEs– Geometric integration and computational mechanics– Information-based complexityviii Preface– Learning theory– Multiresolution and adaptivity in numerical PDEs– Numerical linear algebra– Random matrix theory, computations & applications– Real-number complexity– Special functions and orthogonal polynomials– Stochastic computation– Symbolic analysisIn addition to the workshops, eighteen plenary lectures, covering abroad spectrum of topics connected to computational mathematics, weredelivered by some of the world’s foremost researchers. One of these plenarylectures was presented by Snorre H. Christiansen, as the first recipientof the Stephen Smale Prize awarded by the Society for the Foundationsof Computational Mathematics.This volume is a collection of articles based on the plenary talks presentedat FoCM 2011. The topics covered in the lectures and in this volumereflect the breadth of research within computational mathematicsas well as the richness and fertility of interactions between seemingly unrelatedbranches of pure and applied mathematics. The Budapest gatheringproved itself to be a stimulating meeting place of researchers incomputational mathematics and of theoreticians in mathematics andcomputer science, with emphasis on multidisciplinary interaction acrosssubjects and disciplines in an informal and friendly atmosphere.We hope that this volume will be of interest to researchers in the fieldof computational mathematics and also to non-experts who wish to gainsome insight into the state of the art in this active and significant field.We wish to express our gratitude to the organizing company ScopeMeetings Ltd, the Budapest University of Technology and Economics,the host institute, for their technical support, and the local organizingcommittee for making FoCM 2011 such an outstanding success. We alsothank the National Science Foundation (award no. 1068800), and theCommission for Developing Countries of the International MathematicalUnion for their financial assistance. We would like to thank the authorsof the articles in this volume for producing in short order such excellentcontributions. Above all, however, we wish to express our gratitude toall the participants of FoCM 2011 for attending the meeting and making it such an exciting, productive and scientifically stimulating event.