000 03810nam a22005535i 4500
001 978-3-540-26740-9
003 DE-He213
005 20161121230932.0
007 cr nn 008mamaa
008 100301s2005 gw | s |||| 0|eng d
020 _a9783540267409
_9978-3-540-26740-9
024 7 _a10.1007/b138016
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aTveito, Aslak.
_eauthor.
245 1 0 _aIntroduction to Partial Differential Equations
_h[electronic resource] :
_bA Computational Approach /
_cby Aslak Tveito, Ragnar Winther ; edited by J.E. Marsden, L. Sirovich, M. Golubitsky, W. Jäger.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2005.
300 _aXVI, 394 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts in Applied Mathematics,
_x0939-2475 ;
_v29
505 0 _aSetting the Scene -- Two-Point Boundary Value Problems -- The Heat Equation -- Finite Difference Schemes for the Heat Equation -- The Wave Equation -- Maximum Principles -- Poisson's Equation in Two Space Dimensions -- Orthogonality and General Fourier Series -- Convergence of Fourier Series -- The Heat Equation Revisited -- Reaction-Diffusion Equations -- Applications of the Fourier Transform.
520 _aMathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Preface "It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial differential equations.
650 0 _aMathematics.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aPartial differential equations.
650 0 _aComputer mathematics.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aPartial Differential Equations.
650 2 4 _aComputational Science and Engineering.
700 1 _aWinther, Ragnar.
_eauthor.
700 1 _aMarsden, J.E.
_eeditor.
700 1 _aSirovich, L.
_eeditor.
700 1 _aGolubitsky, M.
_eeditor.
700 1 _aJäger, W.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540225515
830 0 _aTexts in Applied Mathematics,
_x0939-2475 ;
_v29
856 4 0 _uhttp://dx.doi.org/10.1007/b138016
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c506112
_d506112