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# π Partial Differential Equations in Action: From Modelling to Theory by Sandro Salsa β 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:

## About file:

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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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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...

This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations...

The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differenti...

The general area of stochastic PDEs is interesting to mathematicians because it contains an enormous number of challenging open problems. There is also a great deal of interest in this topic because it has deep applications in disciplines that range from ...

This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to top...

The book contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications inclu...

Stochastic Partial Differential Equations and Applications gives an overview of current state-of-the-art stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. Featuring contrib...

The book contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications inclu...

The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly m...

Praise for the First Edition:"This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds."βSIAM ReviewA practical in...

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...