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lines changed Original file line number Diff line number Diff line change @@ -42,8 +42,8 @@ The Rosenbrock methods are good choices in these situations.
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Lags are declared separately from their use. One can use any lag by simply using
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the interpolant of ` h ` at that point. However, one should use caution in order
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- to achieve the best accuracy. When lags are declared, the solvers can more
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- efficiently be more accurate. Constant delays are propagated until the
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+ to achieve the best accuracy. When lags are declared, the solvers can be more
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+ efficient and accurate. Constant delays are propagated until the
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order is higher than the order of the integrator. If state-dependent delays are
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declared, the algorithm will detect discontinuities arising from these delays and
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adjust the step size such that these discontinuities are included in the mesh, if
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# [ Non-autonomous Linear ODE / Lie Group Problems] (@id nonauto_dynamical_prob)
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Non-autonomous linear ODEs show up in a lot of scientific problems where
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- the differential equation lives on a manifold such as Lie Group. In these
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+ the differential equation lives on a manifold, such as a Lie Group. In these
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situations, specialized solvers can be utilized to enforce physical bounds
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on the solution and enhance the solving.
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```
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has a state-dependent linear operator. Note that many other ` AbstractDiffEqOperator ` s
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- can be used and ` DiffEqArrayOperator ` is just one version that represents ` A ` via
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+ can be used, and ` DiffEqArrayOperator ` is just one version that represents ` A ` via
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a matrix (other choices are matrix-free).
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Note that if `` A `` is a constant, then it is sufficient to supply `` A `` directly without
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