04242nam a22005295i 4500001001800000003000900018005001700027007001500044008004100059020001800100024002500118040002500143050001600168072001600184072002300200072001500223082001200238100007600250245020300326264006100529300003400590336002600624337002600650338003600676347002400712490005100736505040200787520149801189650003502687650003702722650002202759650008502781650010702866650011402973700007803087700007503165700007403240700007603314700007303390710003403463773002003497776003603517776003603553776003603589830005103625856003603676978-3-540-26740-9DE-He21320181203160147.0cr nn 008mamaa100301s2005 gw | s |||| 0|eng d a97835402674097 a10.1007/b1380162doi aISI Library, Kolkata 4aQA299.6-433 7aPBK2bicssc 7aMAT0340002bisacsh 7aPBK2thema04a5152231 aTveito, Aslak.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aIntroduction to Partial Differential Equationsh[electronic resource] :bA Computational Approach /cby Aslak Tveito, Ragnar Winther ; edited by J.E. Marsden, L. Sirovich, M. Golubitsky, W. Jäger. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c2005. aXVI, 394 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aTexts in Applied Mathematics,x0939-2475 ;v290 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. 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. 0aGlobal analysis (Mathematics). 0aDifferential equations, partial. 0aComputer science.14aAnalysis.0http://scigraph.springernature.com/things/product-market-codes/M1200724aPartial Differential Equations.0http://scigraph.springernature.com/things/product-market-codes/M1215524aComputational Science and Engineering.0http://scigraph.springernature.com/things/product-market-codes/M140261 aWinther, Ragnar.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut1 aMarsden, J.E.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aSirovich, L.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aGolubitsky, M.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aJäger, W.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978354080292108iPrinted edition:z978354022551508iPrinted edition:z9783540887041 0aTexts in Applied Mathematics,x0939-2475 ;v2940uhttps://doi.org/10.1007/b138016