On the Convergence of Discrete Approximations to the Navier-Stokes Equations PDF Download

Author: Alexandre Jo©·el Chorin
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 40

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Author: Alexandre Joel Chorin
Publisher: Forgotten Books
ISBN: 9780484091701
Category : Mathematics
Languages : en
Pages : 40

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Book Description
Excerpt from On the Convergence of Discrete Approximations to the Navier-Stokes Equations In the present paper we shall adopt a different point of view. We shall assume that the differential equations have a solution with a certain number of continuous derivatives. Armed with this knowledge, we shall study difference schemes which are not merely usable, but even efficient. The methods analyzed are based on the following observations: Equation (1) About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author: Alexandre Joel Chorin
Publisher: Forgotten Books
ISBN: 9781330194720
Category : Mathematics
Languages : en
Pages : 41

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Excerpt from On the Convergence of Discrete Approximations to the Navier-Stokes Equations On the Convergence of Discrete Approximations to the Navier-Stokes Equations was written by Alexandre Joel Chorin. This is a 42 page book, containing 5674 words. Search Inside is enabled for this title. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author: Alexandre Joel Chorin
Publisher: Palala Press
ISBN: 9781378112335
Category :
Languages : en
Pages : 38

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author: R. Rautmann
Publisher: Springer
ISBN: 3540385509
Category : Mathematics
Languages : en
Pages : 602

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Author: Wetton, Brian Thomas Robinson
Publisher: Ann Arbor, Mich. : University Microfilms International
ISBN:
Category :
Languages : en
Pages : 188

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Author: Roger Temam
Publisher: Elsevier
ISBN: 1483256855
Category : Mathematics
Languages : en
Pages : 539

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Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.

Author: Brian Thomas Robinson Wetton
Publisher:
ISBN:
Category :
Languages : en
Pages : 188

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Author: Alfio Quarteroni
Publisher: Springer Science & Business Media
ISBN: 3540852689
Category : Mathematics
Languages : en
Pages : 551

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Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).

Author: Murli M. Gupta
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 30

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