Krylov occupies a special place in Russian literature. His popularity is comparable to Aleksandr Pushkin's, for even during his own lifetime he achieved nationwide fame. Krylov's works simultaneously belong to two historical and cultural epochs....

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ABSTRACT An implicit nonlinear algorithm, the Newton-Krylov method, for the efficient and accurate simulation of the Navier-Stokes equations, is presented. This method is a combination of a nonlinear outer Newton-based iteration and a linear inner conjugate residual (Krylov) iteration but does not require...