An automatic technique for solving coupled vector systems of non-linear parabolic partial differential equations in one space dimension

Statistics – Computation

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Scientific paper

An automatic computational scheme employing Newton's method to solve coupled vector systems of non-linear, parabolic, partial differential equations in one space dimension is presented. The mathematical technique is developed by considering a series of increasingly complicated equations, culminating with applications of the solver to a simplified, but realistic, geophysical problem. Computational aspects of the method are also compared briefly with those of an alternative solver strategy following the ``Method of Lines.'' The National Center for Atmospheric Research is sponsored by the National Science Foundation.

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