On the Convergence of Discrete Approximations to the Navier-Stokes Equations
Open Access
- 1 April 1969
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 23 (106) , 341-353
- https://doi.org/10.2307/2004428
Abstract
A class of useful difference approximations to the full nonlinear Navier-Stokes equations is analyzed; the convergence of these approximations to the solutions of the corresponding differential equations is established and the rate of convergence is estimated.Keywords
This publication has 5 references indexed in Scilit:
- Numerical Solution of the Navier-Stokes EquationsMathematics of Computation, 1968
- Une méthode d'approximation de la solution des équations de Navier-StokesBulletin de la Société Mathématiques de France, 1968
- The numerical solution of the Navier-Stokes equations for an incompressible fluidBulletin of the American Mathematical Society, 1967
- On the Navier-Stokes initial value problem. IArchive for Rational Mechanics and Analysis, 1964
- Energy Inequalities for the Solution of Differential EquationsTransactions of the American Mathematical Society, 1960