Kategoria BISAC: Mathematics >> Counting & Numeration

This volume includes contributions from diverse disciplines including electrical engineering, biomedical engineering, industrial engineering, and medicine, bridging a vital gap between the mathematical sciences and neuroscience research. Covering a wide range of research topics, this volume demonstrates how various methods from data mining, signal processing, optimization and cutting-edge medical techniques can be used to tackle the most challenging problems in modern neuroscience.

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. Thisbookalso provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to...

"To my knowledge this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. ...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003

Thisvolume comprises a carefully selectedcollection ofarticlesemerging from and pertinent to the 2010 CFL-80 conference in Rio de Janeiro, celebrating the80^th anniversary of the Courant-Friedrichs-Lewy (CFL) condition. A major result in the field of numerical analysis, the CFL condition has influenced the research of many important mathematicians over the past eight decades, and this work is meant to take stock of its most important and current applications.

The Courant-Friedrichs-Lewy (CFL) Condition: 80 Years After its Discovery will be of interest to practicing...