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000726846 020__ $$a9783319150932$$qelectronic book
000726846 020__ $$a3319150936$$qelectronic book
000726846 020__ $$z9783319150925
000726846 0247_ $$a10.1007/978-3-319-15093-2$$2doi
000726846 035__ $$aSP(OCoLC)ocn908159373
000726846 035__ $$aSP(OCoLC)908159373
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000726846 049__ $$aISEA
000726846 050_4 $$aQA374
000726846 08204 $$a515.353$$222
000726846 1001_ $$aSalsa, S.,$$eauthor.
000726846 24510 $$aPartial differential equations in action$$h[electronic resource] :$$bfrom modelling to theory /$$cSandro Salsa.
000726846 250__ $$aSecond edition.
000726846 264_1 $$aCham :$$bSpringer,$$c2015.
000726846 300__ $$a1 online resource (xviii, [697] pages) :$$billustrations.
000726846 336__ $$atext$$btxt$$2rdacontent
000726846 337__ $$acomputer$$bc$$2rdamedia
000726846 338__ $$aonline resource$$bcr$$2rdacarrier
000726846 4901_ $$aUnitext ;$$vvolume 86
000726846 504__ $$aIncludes bibliographical references and index.
000726846 5050_ $$a1 Introduction -- 2 Diffusion -- 3 The Laplace Equation -- 4 Scalar Conservation Laws and First Order Equations -- 5 Waves and vibrations -- 6 Elements of Functional Analysis -- 7 Distributions and Sobolev Spaces -- 8 Variational formulation of elliptic problems -- 9 Further Applications -- 10 Weak Formulation of Evolution Problems -- 11 Systems of Conservation Laws -- 12 A Fourier Series -- 13 B Measures and Integrals -- 14 C Identities and Formulas.
000726846 506__ $$aAccess limited to authorized users.
000726846 520__ $$aThe book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.
000726846 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 29, 2015).
000726846 650_0 $$aMathematics.
000726846 650_0 $$aDifferential equations, Partial.
000726846 650_0 $$aDifferential equations, Partial$$xNumerical solutions.
000726846 650_0 $$aDifferential equations, Elliptic.
000726846 650_0 $$aBoundary value problems.
000726846 650_0 $$aGeometry, Differential.
000726846 650_0 $$aFunctions.
000726846 650_0 $$aDiffusion.
000726846 77608 $$iPrint version:$$z9783319150925
000726846 830_0 $$aUnitext ;$$vvolume 86.
000726846 852__ $$bebk
000726846 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-15093-2$$zOnline Access$$91397441.1
000726846 909CO $$ooai:library.usi.edu:726846$$pGLOBAL_SET
000726846 980__ $$aEBOOK
000726846 980__ $$aBIB
000726846 982__ $$aEbook
000726846 983__ $$aOnline
000726846 994__ $$a92$$bISE