Solution of linear initial value problems on a hypercube
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There are many articles discussing the solution of boundary value problems on various parallel machines. The solution of initial value problems does not lend itself to parallelism, since in this case one uses methods that are sequential in nature. The authors develop a parallel scheme for initial value problems based on the box scheme and a modified recursive doubling technique. Fully implicit Runge Kutta Methods were discussed by Jackson and Norsett (1986) and Lie (1987). Lie assumes that each processor of the parallel computer having vector capabilities. (kr)
NPS Report NumberNPS-53-89-001
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