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Some experiments with high order compact methods using a computer algebra software - Part II (non-uniform grid)
(Elsevier B.V., 2006-09-01)
We generalize a procedure proposed by Mancera and Hunt [P.F.A. Mancera, R. Hunt, Some experiments with high order compact methods using a computer algebra software-Part 1, Appl. Math. Comput., in press, doi: 10.1016/j.am ...
Some experiments with high order compact methods using a computer algebra software - Part II (non-uniform grid)
(Elsevier B.V., 2006-09-01)
We generalize a procedure proposed by Mancera and Hunt [P.F.A. Mancera, R. Hunt, Some experiments with high order compact methods using a computer algebra software-Part 1, Appl. Math. Comput., in press, doi: 10.1016/j.am ...
Wide stability in a new family of optimal fourth-order iterative methods
A new family of two-steps fourth-order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung-Traub conjecture and it is extended ...
Ball convergence for Steffensen-type fourth-order methods
We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier ...
A compact finite differences exact projection method for the Navier–Stokes equations on a staggered grid with fourth-order spatial precision
(ElsevierAmsterdam, 2015-09)
An exact projection method for the numerical solution of the incompressible Navier–Stokes equations is
devised. In all spatial discretizations, fourth-order compact finite differences are used, including domain
boundaries ...
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
We present a local convergence analysis of a derivative free fourth order method with one parameter based on rational interpolation in order to approximate a locally unique root of a function. The method is optimal in the ...
A study of a numerical solution of the steady two dimensions Navier-Stokes equations in a constricted channel problem by a compact fourth order method
(Elsevier B.V., 2003-12-31)
We present a numerical solution for the steady 2D Navier-Stokes equations using a fourth order compact-type method. The geometry of the problem is a constricted symmetric channel, where the boundary can be varied, via a ...
A study of a numerical solution of the steady two dimensions Navier-Stokes equations in a constricted channel problem by a compact fourth order method
(Elsevier B.V., 2003-12-31)
We present a numerical solution for the steady 2D Navier-Stokes equations using a fourth order compact-type method. The geometry of the problem is a constricted symmetric channel, where the boundary can be varied, via a ...