University of Cambridge Numerical Analysis Reports Projected Runge{kutta Methods for Diierential Equations on Matrix Lie Groups Projected Runge{kutta Methods for Diierential Equations on Matrix Lie Groups

Abstract

For diierential equations on a matrix Lie group it is known that most traditional methods do not keep the numerical solutions in the Lie group. To obtain numerical solutions with the correct qualitative behaviour we solve overdetermined systems of diierential-algebraic equations, including diierential equations on the corresponding Lie algebra, by standard… (More)

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