Journal of Computational and Applied Mathematics
Computing - Editorial: Special issue on GAMM – Workshop on Guaranteed Error-bounds for the Solution of Nonlinear Problems in Applied Mathematics
An interval version of the crank-nicolson method --- the first approach
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
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We present a numerical method to enclose stationary solutions of the Navier-Stokes equations, especially 2-D driven cavity problem with regularized boundary condition. Our method is based on the infinite dimensional Newton's method by estimating the inverse of the corresponding linearized operator. The method can be applied to the case for high Reynolds numbers and we show some numerical examples which confirm us the actual effectiveness.