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Showing 1 to 2 of 2 for “"Lie group methods"”.
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Applications of Lie Group Methods to the Equations of Magnetohydrodynamics
… and magnetic viscosity. The knowledge of the group structure of these equations is then used to introduce similarity variables to these equations. For each choice of similarity variables, the original set of partial differential equations is transformed into a set of ordinary differential …
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Structure-preserving Numerical Methods for Engineering Applications
… with external forcing and also extends those methods to systems that evolve on non-Euclidean manifolds. The dissertation is focused on numerical schemes derived from variational principles – schemes that are general enough to apply to a large class of engineering problems. A theoretical …