منابع مشابه
Integration of Partitioned Stiff Systems of Ordinary Differential Equations
Abstract. Partitioned systems of ordinary differential equations are in qualitative terms characterized as monotonically max-norm stable if each sub-system is stable and if the couplings from one sub-system to the others are weak. Each sub-system of the partitioned system may be discretized independently by the backward Euler formula using solution values from the other sub-systems correspondin...
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Abstract. We present a convergence proof of the projective integration method for a class of deterministic multi-dimensional multi-scale systems which are amenable to center manifold theory. The error is shown to contain contributions associated with the numerical accuracy of the microsolver, the numerical accuracy of the macrosolver and the distance from the center manifold caused by the combi...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1952
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.38.3.235