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

Alexandre Joel Chorin

ISBN 10: 1330194721 / ISBN 13: 9781330194720

Verlag: Forgotten Books, 2018

Beschreibung

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.

Bestandsnummer des Verkäufers 9781330194720_0

Bibliografische Details

• Titel: On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Verlag: Forgotten Books
• Erscheinungsjahr: 2018
• Sprache: Englisch
• ISBN-10: 1330194721
• ISBN-13: 9781330194720
• Einband: Paperback
• Zustand: New
• Buchtyp: print-on-demand item
• Verkäuferkataloge:
  • Calculus

Über diesen Titel

Inhaltsangabe

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)

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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.