MARC Record from harvard_bibliographic_metadata

LEADER: 03672nam a22004815a 4500
001 013842202-8
005 20131206202810.0
008 121227s1990 gw | s ||0| 0|eng d
020 $a9783642615276
020 $a9783642615276
020 $a9783540660972
024 7 $a10.1007/978-3-642-61527-6$2doi
035 $a(Springer)9783642615276
040 $aSpringer
050 4 $aQA370-380
072 7 $aPBKJ$2bicssc
072 7 $aMAT007000$2bisacsh
082 04 $a515.353$223
100 1 $aDautray, Robert,$d1928-$eauthor.
245 10 $aMathematical Analysis and Numerical Methods for Science and Technology :$bVolume 1 Physical Origins and Classical Methods /$cby Robert Dautray, Jacques-Louis Lions.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1990.
300 $aXVIII, 722p. 41 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
520 $aThese 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap.
520 $aMany phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences.
520 $aThe main physical examples examined in the 6 volumes are presented in Chapter I: Classical Fluids and the Navier-Stokes System; Linear Elasticity, Linear Viscoelasticity, Electromagnetism and Maxwell's Equation, Neutronics, and Quantum Physics. Then a first examination of the mathematical models is given. Chapter II is devoted to the study of the Laplacian operator by methods which only use classical tools.
650 20 $aMechanics.
650 20 $aNumerical analysis.
650 20 $aDifferential equations, Partial.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aDifferential equations, partial.
650 0 $aNumerical analysis.
650 0 $aMechanics.
650 0 $aEngineering mathematics.
650 24 $aAppl.Mathematics/Computational Methods of Engineering.
700 1 $aLions, Jacques-Louis,$eauthor.
776 08 $iPrinted edition:$z9783540660972
988 $a20131119
906 $0VEN