Maximum and Minimum Principles

Author: M. J. Sewell
Publisher: CUP Archive
ISBN: 0521332443
Release Date: 1987-12-17
Genre: Mathematics

This book provides a unified account of the theory required to establish upper and lower bounds.

Integral Equations A Practical Treatment from Spectral Theory to Applications

Author: David Porter
Publisher: Cambridge University Press
ISBN: 0521337429
Release Date: 1990-09-28
Genre: Mathematics

This book gives a rigorous and practical treatment of integral equations and aims to tackle the solution of integral equations using a blend of abstract structural results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text, and it allows a thorough account to be given of many of the types of integral equation that arise, particularly in numerical analysis and fluid mechanics. Because it is not always possible to find explicit solutions to the problems posed, much attention is devoted to obtaining qualitative information and approximations and the associated error estimates.

Nonlinear Systems

Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 0521406684
Release Date: 1992-06-26
Genre: Mathematics

A coherent treatment of nonlinear systems covering chaos, fractals, and bifurcation, as well as equilibrium, stability, and nonlinear oscillations. The systems treated are mostly of difference and differential equations. The author introduces the mathematical properties of nonlinear systems as an integrated theory, rather than simply presenting isolated fashionable topics. The topics are discussed in as concrete a way as possible, worked examples and problems are used to motivate and illustrate the general principles. More advanced parts of the text are denoted by asterisks, thus making it ideally suited to both undergraduate and graduate courses.

Solitons

Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 0521336554
Release Date: 1989-02-09
Genre: Mathematics

This textbook is an introduction to the theory of solitons in the physical sciences.

Incompressible Flow and the Finite Element Method Isothermal Laminar Flow

Author: P. M. Gresho
Publisher: Wiley
ISBN: 0471492507
Release Date: 2000-06-29
Genre: Science

This comprehensive two-volume reference covers the application of the finite element method to incompressible flows in fluid mechanics, addressing the theoretical background and the development of appropriate numerical methods applied to their solution. Volume One provides extensive coverage of the prototypical fluid mechanics equation: the advection-diffusion equation. For both this equation and the equations of principal interest - the Navier-Stokes equations (covered in detail in Volume Two) - a discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. The book explains and emphasizes consistency in six areas: * consistent mass matrix * consistent pressure Poisson equation * consistent penalty methods * consistent normal direction * consistent heat flux * consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.

Incompressible Flow and the Finite Element Method Incompressible Flow the Finite Element Method Advection Diffusion Isothermal Laminar Flow Combined Edition Cloth

Author: P. M. Gresho
Publisher: Wiley
ISBN: 0471967890
Release Date: 1998-06-18
Genre: Science

This comprehensive reference work covers all the important details regarding the application of the finite element method to incompressible flows. It addresses the theoretical background and the detailed development of appropriate numerical methods applied to the solution of a wide range of incompressible flows, beginning with extensive coverage of the advection-diffusion equation in volume one. For both this equation and the equations of principal interest - the Navier-Stokes equations, covered in detail in volume two - detailed discussion of both the continuous and discrete equations is presented, as well as explanations of how to properly march the time-dependent equations using smart implicit methods. Boundary and initial conditions, so important in applications, are carefully described and discussed, including well-posedness. The important role played by the pressure, so confusing in the past, is carefully explained. Together, this two volume work explains and emphasizes consistency in six areas: ? consistent mass matrix ? consistent pressure Poisson equation ? consistent penalty methods ? consistent normal direction ? consistent heat flux ? consistent forces Fully indexed and referenced, this book is an essential reference tool for all researchers, students and applied scientists in incompressible fluid mechanics.

IMS Bulletin

Author:
Publisher:
ISBN: UOM:35128000665966
Release Date: 1989
Genre: Mathematical statistics


Finite Elemente Methoden

Author: Klaus-Jürgen Bathe
Publisher: Springer Verlag
ISBN: 3540668063
Release Date: 2002
Genre: Technology & Engineering

Dieses Lehr- und Handbuch behandelt sowohl die elementaren Konzepte als auch die fortgeschrittenen und zukunftsweisenden linearen und nichtlinearen FE-Methoden in Statik, Dynamik, Festkörper- und Fluidmechanik. Es wird sowohl der physikalische als auch der mathematische Hintergrund der Prozeduren ausführlich und verständlich beschrieben. Das Werk enthält eine Vielzahl von ausgearbeiteten Beispielen, Rechnerübungen und Programmlisten. Als Übersetzung eines erfolgreichen amerikanischen Lehrbuchs hat es sich in zwei Auflagen auch bei den deutschsprachigen Ingenieuren etabliert. Die umfangreichen Änderungen gegenüber der Vorauflage innerhalb aller Kapitel - vor allem aber der fortgeschrittenen - spiegeln die rasche Entwicklung innerhalb des letzten Jahrzehnts auf diesem Gebiet wieder.