DMCA. Copyrighted Work that you can Claim.
Base have 820 524 books.
Search: 


📙 Partial Differential Equations in Action: From Modelling to Theory by Sandro Salsa — free epub


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:

  • File size: 6 044 988
  • Format: pdf


Security code:
Download button

Similar books results


Harmonic Analysis and Partial Differential Equations: Proceedings of a Conference Held April 4-5, 1988
Harmonic Analysis and Partial Differential Equations: Proceedings of a Conference Held April 4-5, 1988 pdf free by Conference on Harmonic Analysis and Partial Differential Equations (1988 : Florida Atlantic University), Tomas Schonbek (ed.)

This book brings together ten papers presented at the Conference on Harmonic Analysis and Partial Differential Equations, held in April 1988 at Florida Atlantic University. The papers illuminate the relationship between harmonic analysis and partial diffe...

Partial differential equations and solitary waves theory
Partial differential equations and solitary waves theory pdf free by Abdul-Majid Wazwaz

"Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part ...

Fourier series and numerical methods for partial differential equations
Fourier series and numerical methods for partial differential equations download pdf by Bernatz R.

The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applic...

Optimization Methods in Partial Differential Equations: Proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mt. Holyoke College
Optimization Methods in Partial Differential Equations: Proceedings from the 1996 Joint Summer Research Conference, June 16-20, 1996, Mt. Holyoke College epub download by Steven Cox, Irena Lasiecka (ed.)

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...

Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations
Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations free epub by Peter Kotelenez (auth.)

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...

Three courses on partial differential equations
Three courses on partial differential equations epub download by Eric Sonnendrucker

Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topi...

Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations
Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations free epub by Peter Kotelenez (auth.)

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...

Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors: Advances in Partial Differential Equations
Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors: Advances in Partial Differential Equations pdf free by Yuming Qin

This book presents recent results concerning the global existence in time, the large-time behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential eq...

Three Courses on Partial Differential Equations
Three Courses on Partial Differential Equations download pdf by Eric Sonnendrucker

Modeling, in particular with partial differential equations, plays an ever growing role in the applied sciences. Hence its mathematical understanding is an important issue for today's research. This book provides an introduction to three different topi...

Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations
Stochastic Ordinary and Stochastic Partial Differential Equations: Transition from Microscopic to Macroscopic Equations download pdf by Peter Kotelenez (auth.)

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...