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Partial Differential Equations in Action: From Modelling to Theory

Partial Differential Equations in Action: From Modelling to Theory

          
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About the Book

This work is an updated version of a book 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 for 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 the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4. The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several new exercises in almost all chapters; a general restyling and a reordering of the last chapters. The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.



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Product Details
  • ISBN-13: 9783031218521
  • Publisher: Springer International Publishing
  • Publisher Imprint: Springer
  • Height: 154 mm
  • No of Pages: 677
  • Spine Width: 37 mm
  • Weight: 1298 gr
  • ISBN-10: 3031218523
  • Publisher Date: 09 Dec 2022
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Sub Title: From Modelling to Theory
  • Width: 235 mm


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Partial Differential Equations in Action: From Modelling to Theory
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