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On the Convergence of Discrete Approximations to the Navier-Stokes Equations (Classic Reprint) - Couverture souple
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I ntroduction. The Navler-S tokes equations, describing the motion of a viscous Incompressible fluid, can be written In the dlmenslonless form (1) Sv +grad p= -jji +Z +E, (v =3 j (2) dlv V= 0where the vector v, with components v., 1= 1,2,5, Is the velocity, p Isthe pressure, EI sthe external force, 3, denotes differentiation with respect to the timet and 5. denotes differentiation with respect to the space variable x., 1= 1,2,3. Vector quantities are underlined and the summation convention applies to the Index j. When a solution of these equations Is required In some bounded domain Q, with boundary f2, use Is generally made of an appropriate difference approximation. A new class of such approximations was Introduced and utilized In 1 and 2; It Is the purpose of this paper to establish the convergence of the solutions of such approximations to the solutions of equations (1) and (2) In Q. To our knowledge, the first convergence proof for a difference approximation to the complete system (l) and (2) was given by Krzhlvltskl and Ladyzhenskaya (see e.g. 3)- Their proof gives both more and less than the numerical analyst requires.
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On the Convergence of Discrete Approximations to the NavierStokes Equations Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330194720
Quantité disponible : 15 disponible(s)
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On the Convergence of Discrete Approximations to the NavierStokes Equations Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330194720
Quantité disponible : 15 disponible(s)
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On the Convergence of Discrete Approximations to the Navier-Stokes Equations
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book offers a convergence analysis of a class of numerical methods for approximating solutions to the Navier-Stokes equations, a system of equations that describe the motion of viscous fluids. The author analyzes the behavior of a specific scheme in both the maximum and L2 norms, providing an error estimate that establishes the convergence rate. The work is significant in the field of computational fluid dynamics, where researchers and practitioners seek efficient and accurate methods to simulate fluid flows. This convergence proof, along with the insights it provides into the convergence behavior of numerical schemes, contributes to the theoretical understanding and practical application of computational methods for solving fluid flow problems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330194720_0
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