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Equazioni a derivate parziali Metodi, modelli e applicazioni
Il testo costituisce una introduzione alla teoria delle equazioni a derivate parziali, strutturata in modo da abituare il lettore ad una sinergia tra modellistica e aspetti teorici. La prima parte riguarda le più note equazioni della fisica-matematica, idealmente raggruppate nelle tre macro-aree diffusione, propagazione e trasporto, onde e vibrazioni. Nella seconda parte si presenta la formula…
- Edition
- -
- ISBN/ISSN
- 978-88-470-5785-2
- Collation
- XVI, 671
- Series Title
- -
- Call Number
- -
Introduction to Scientific Computing and Data Analysis
This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises…
- Edition
- -
- ISBN/ISSN
- 978-3-319-30256-0
- Collation
- -
- Series Title
- -
- Call Number
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A Variational Approach to Lyapunov Type Inequalities: From ODEs to PDEs
This book highlights the current state of Lyapunov-type inequalities through a detailed analysis. Aimed toward researchers and students working in differential equations and those interested in the applications of stability theory and resonant systems, the book begins with an overview Lyapunov’s original results and moves forward to include prevalent results obtained in the past ten years. De…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-25289-6
- Collation
- XVIII, 120
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 515.4 CAN v
Introduction to Nonlinear Dispersive Equations
This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinge…
- Edition
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- ISBN/ISSN
- 978-1-4939-2181-2
- Collation
- -
- Series Title
- -
- Call Number
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A Textbook on Ordinary Differential Equations
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topi…
- Edition
- Ed. 2
- ISBN/ISSN
- 978-3-319-16408-3
- Collation
- XIV, 331
- Series Title
- UNITEXT
- Call Number
- 515.3 AHM t
Partial Differential Equations : Modeling, Analysis and Numerical Approximation
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to ea…
- Edition
- -
- ISBN/ISSN
- 978-3-319-27067-8
- Collation
- XI, 395 halaman
- Series Title
- International Series of Numerical Mathematics
- Call Number
- 515.35 DRE p
Partial Differential Equations in Action : From Modelling to Theory
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 t…
- Edition
- -
- ISBN/ISSN
- 978-3-319-31238-5
- Collation
- XVIII, 686 halaman
- Series Title
- -
- Call Number
- 515.35 SAL p
Partial Differential Equations in Action : Complements and Exercises
This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with com…
- Edition
- -
- ISBN/ISSN
- 978-3-319-15416-9
- Collation
- VIII, 431 halaman
- Series Title
- -
- Call Number
- 515.35 SAL p
Partial Differential Equations in Action : From Modelling to Theory
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 t…
- Edition
- -
- ISBN/ISSN
- 978-3-319-15093-2
- Collation
- XVIII, 701 halaman
- Series Title
- -
- Call Number
- 515.35 SAL p
Entropy Methods for Diffusive Partial Differential Equations
This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of …
- Edition
- -
- ISBN/ISSN
- 978-3-319-34219-1
- Collation
- 1 illustrations in colour
- Series Title
- -
- Call Number
- -
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