Multi-adaptive Galerkin methods are extensions of the standard continuous anddiscontinuous Galerkin methods for the numerical solution of initial valueproblems for ordinary or partial differential equations. In particular, themulti-adaptive methods allow individual and adaptive time steps to be used fordifferent components or in different regions of space. We present algorithmsfor efficient multi-adaptive time-stepping, including the recursiveconstruction of time slabs and adaptive time step selection. We also presentdata structures for efficient storage and interpolation of the multi-adaptivesolution. The efficiency of the proposed algorithms and data structures isdemonstrated for a series of benchmark problems.
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