Partial differential equations in action [Documento eletrónico] : from modelling to theory / Sandro Salsa
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2016Description: XVIII, 686 p.ISBN: 978-3-319-31238-5.Series: La Matematica per il 3+2, 99Subject - Topical Name: 3647 | 4959Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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TA342.SPR FCT 82686 Modeling and simulation, an application-oriented introduction | TA342.SPR FCT 95614 Mathematical modeling, simulation, visualization and e-learning | TA342.SPR FCT 96353 Partial differential equations in action, from modelling to theory | TA342.SPR FCT 97151 Partial differential equations in action, from modelling to theory | TA342.SPR FCT 97939 Reliability is a new science, Gnedenko was right | TA342.SPR FCT 98168 Frontiers in computational fluid-structure interaction and flow simulation, research from lead investigators under Forty – 2018 | TA342.SPR FCT 98381 Topics in the mathematical modelling of composite materials |
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The 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.
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