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# ðŸ“™ Partial Differential Equations in Action: From Modelling to Theory by Sandro Salsa â€” free epub

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This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering.The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts.The first one has a rather elementary character with the goal of developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. Ideas and connections with concrete aspects are emphasized whenever possible, in order to provide intuition and feeling for the subject.For this part, a knowledge of advanced calculus and ordinary differential equations is required. Also, the repeated use of the method of separation of variables assumes some basic results from the theory of Fourier series,which are summarized in an appendix. The main topic of the second part is the development of Hilbert space methods for the variational formulation and analysis of linear boundary and initial-boundary value problems\emph{. }%Given the abstract nature of these chapters, an effort has been made to provide intuition and motivation for the various concepts and results. The understanding of these topics requires some basic knowledge of Lebesguemeasure and integration, summarized in another appendix.At the end of each chapter, a number of exercises at different level of complexity is included. The most demanding problems are supplied with answers or hints.The exposition if flexible enough to allow substantial changes without compromising the comprehension and to facilitate a selection of topics for a one or two semester course.

## About book:

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- Series:
**Universitext** - Author:
**Sandro Salsa** - Year:
**2008** - Language:
**English** - ISBN:
**8847007518,978-88-470-0751-2**

- File size:
**6 044 988** - Format:
**pdf**

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This book presents a collection of papers written by specialists in the field and devoted to the analysis of various aspects of optimization problems with a common focus on partial differential equation (PDE) models. These papers were presented at the AMS...

This book provides the first rigorous derivation of mesoscopic and macroscopic equations from a deterministic system of microscopic equations. The microscopic equations are cast in the form of a deterministic (Newtonian) system of coupled nonlinear oscill...

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Topics includeÂ one-dimensional wave equation, properties of ellip...

This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical as...

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) ove...

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) ove...

Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing t...

The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs driven by space-time Brownian motion noise. In this, the second edition, the authors extend the theory ...

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the CollÃ¨ge de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent ...

Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathe...

Escape the enemy's deadly trap! The Bait of Satan exposes one of the most deceptive snares Satan uses to get believers out of the will of God-offense. Most people who are ensnared by the bait of Satan don't even realize it. Don't be fooled! You will encou...

God! Where are You? Is this your heart's cry? Does your spiritual progress appear at a standstill - or even to have regressed? This time is not God's rejection but His season of preparation. It is the road traveled by patriarchs and prophets, paving a...

This perennial classic on faith and healing now includes a foreword by the author's son and an additional chapter describing Bosworth's ministry in South Africa...

UFO Sightings and Abductions by aliens were the beginning, the tip of the iceberg. Dolores Cannon's work in hypnosis has taken the study beyond abduction. This accumulation of 12 years of cases includes: * Cases of missing time * Spacecraft from other dim...