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- Author or Editor: D. Marchesin x
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Abstract
A method on the creation of exact solutions for nonlinear initial value problems is described. These solutions are employed in the development of numerical schemes for computer solution of these problems. The method is applied to a new fully implicit scheme on a vertical slice for the isentropic baroclinic equations.
Abstract
A method on the creation of exact solutions for nonlinear initial value problems is described. These solutions are employed in the development of numerical schemes for computer solution of these problems. The method is applied to a new fully implicit scheme on a vertical slice for the isentropic baroclinic equations.
Abstract
An efficient implicit finite-difference method is developed and tested for a global barotropic model. The scheme requires at each time step the solution of only one-dimensional block-tridiagonal linear systems. This additional computation is offset by the use of a time step chosen independently of the mesh spacing. The method is second-order accurate in time and fourth-order accurate in space. Our experience indicates that this implicit method is practical for numerical simulation on fine meshes.
Abstract
An efficient implicit finite-difference method is developed and tested for a global barotropic model. The scheme requires at each time step the solution of only one-dimensional block-tridiagonal linear systems. This additional computation is offset by the use of a time step chosen independently of the mesh spacing. The method is second-order accurate in time and fourth-order accurate in space. Our experience indicates that this implicit method is practical for numerical simulation on fine meshes.
