Partial Differential Equations Modeling and Numerical Simulation /

This book is dedicated to Olivier Pironneau. For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at first and then those originating from human activity and technological de...

ver descrição completa

Na minha lista:

Detalhes bibliográficos
Principais autores:	Glowinski, Roland., Neittaanmäki, Pekka., SpringerLink (Online service)
Formato:	Digital
Publicado em:
Assuntos:	Equações diferenciais parciais. Matemática para engenharia. Física.
Endereço do item:	http://dx.doi.org/10.1007/978-1-4020-8758-5
Tags:	Adicionar Tag Sem tags, seja o primeiro a adicionar uma tag!

id	oai:localhost:123456789-211854
record_format	dspace
spelling	oai:localhost:123456789-2118542023-07-17T15:12:27Z Partial Differential Equations Modeling and Numerical Simulation / Glowinski, Roland. Neittaanmäki, Pekka. SpringerLink (Online service) Equações diferenciais parciais. Matemática para engenharia. Física. This book is dedicated to Olivier Pironneau. For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at first and then those originating from human activity and technological development. Mechanics, physics and their engineering applications were the first to benefit from the impact of partial differential equations on modeling and design, but a little less than a century ago the Schrödinger equation was the key opening the door to the application of partial differential equations to quantum chemistry, for small atomic and molecular systems at first, but then for systems of fast growing complexity. Mathematical modeling methods based on partial differential equations form an important part of contemporary science and are widely used in engineering and scientific applications. In this book several experts in this field present their latest results and discuss trends in the numerical analysis of partial differential equations. The first part is devoted to discontinuous Galerkin and mixed finite element methods, both methodologies of fast growing popularity. They are applied to a variety of linear and nonlinear problems, including the Stokes problem from fluid mechanics and fully nonlinear elliptic equations of the Monge-Ampère type. Numerical methods for linear and nonlinear hyperbolic problems are discussed in the second part. The third part is concerned with domain decomposition methods, with applications to scattering problems for wave models and to electronic structure computations. The next part is devoted to the numerical simulation of problems in fluid mechanics that involve free surfaces and moving boundaries. The finite difference solution of a problem from spectral geometry has also been included in this part. Inverse problems are known to be efficient models used in geology, medicine, mechanics and many other natural sciences. New results in this field are presented in the fifth part. The final part of the book is addressed to another rapidly developing area in applied mathematics, namely, financial mathematics. The reader will find in this final part of the volume, recent results concerning the simulation of finance related processes modeled by parabolic variational inequalities. 0 2022-10-11T17:26:39Z 2022-10-11T17:26:39Z 2008. Digital 517.95 P273 9781402087585 197276 http://dx.doi.org/10.1007/978-1-4020-8758-5 http://dx.doi.org/10.1007/978-1-4020-8758-5
institution	Acervo SISBI
collection	SIGAA
topic	Equações diferenciais parciais. Matemática para engenharia. Física.
spellingShingle	Equações diferenciais parciais. Matemática para engenharia. Física. Glowinski, Roland. Neittaanmäki, Pekka. SpringerLink (Online service) Partial Differential Equations Modeling and Numerical Simulation /
description	This book is dedicated to Olivier Pironneau. For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at first and then those originating from human activity and technological development. Mechanics, physics and their engineering applications were the first to benefit from the impact of partial differential equations on modeling and design, but a little less than a century ago the Schrödinger equation was the key opening the door to the application of partial differential equations to quantum chemistry, for small atomic and molecular systems at first, but then for systems of fast growing complexity. Mathematical modeling methods based on partial differential equations form an important part of contemporary science and are widely used in engineering and scientific applications. In this book several experts in this field present their latest results and discuss trends in the numerical analysis of partial differential equations. The first part is devoted to discontinuous Galerkin and mixed finite element methods, both methodologies of fast growing popularity. They are applied to a variety of linear and nonlinear problems, including the Stokes problem from fluid mechanics and fully nonlinear elliptic equations of the Monge-Ampère type. Numerical methods for linear and nonlinear hyperbolic problems are discussed in the second part. The third part is concerned with domain decomposition methods, with applications to scattering problems for wave models and to electronic structure computations. The next part is devoted to the numerical simulation of problems in fluid mechanics that involve free surfaces and moving boundaries. The finite difference solution of a problem from spectral geometry has also been included in this part. Inverse problems are known to be efficient models used in geology, medicine, mechanics and many other natural sciences. New results in this field are presented in the fifth part. The final part of the book is addressed to another rapidly developing area in applied mathematics, namely, financial mathematics. The reader will find in this final part of the volume, recent results concerning the simulation of finance related processes modeled by parabolic variational inequalities.
format	Digital
author	Glowinski, Roland. Neittaanmäki, Pekka. SpringerLink (Online service)
author_facet	Glowinski, Roland. Neittaanmäki, Pekka. SpringerLink (Online service)
author_sort	Glowinski, Roland.
title	Partial Differential Equations Modeling and Numerical Simulation /
title_short	Partial Differential Equations Modeling and Numerical Simulation /
title_full	Partial Differential Equations Modeling and Numerical Simulation /
title_fullStr	Partial Differential Equations Modeling and Numerical Simulation /
title_full_unstemmed	Partial Differential Equations Modeling and Numerical Simulation /
title_sort	partial differential equations modeling and numerical simulation /
publishDate	2022
url	http://dx.doi.org/10.1007/978-1-4020-8758-5
work_keys_str_mv	AT glowinskiroland partialdifferentialequationsmodelingandnumericalsimulation AT neittaanmakipekka partialdifferentialequationsmodelingandnumericalsimulation AT springerlinkonlineservice partialdifferentialequationsmodelingandnumericalsimulation
_version_	1771689051603075072

Partial Differential Equations Modeling and Numerical Simulation /

Registros relacionados