Runge-Kutta methods on Lie groups

<i>Manifolds, Tensor Analysis, and Applications</i>

Ralph Abraham, J. Marsden, Tudor S. Raţiu et al. · Physics Today · 1984 · 1.2K citations

Natural Sciences, Mathematics, Physics +14

Coefficients for the study of Runge-Kutta integration processes

J. C. Butcher · Journal of the Australian Mathematical Society · 1963 · 426 citations · Full text

Natural Sciences, Mathematics, Differential Equations +11

Numerical integration of ordinary differential equations on manifolds

P.E. Crouch, Robert L. Grossman · Journal of Nonlinear Science · 1993 · 336 citations

Natural Sciences, Mathematics, Physics +11

An algebraic theory of integration methods

J. C. Butcher · Mathematics of Computation · 1972 · 291 citations

Natural Sciences, Mathematics, Algorithms +14

On the solution of linear differential equations in Lie groups

Arieh Iserles, Syvert P. Nørsett · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 1999 · 286 citations

Natural Sciences, Mathematics, Physics +17