منابع مشابه
Aromatic Butcher Series
We show that without other further assumption than affine equivariance and locality, a numerical integrator has an expansion in a generalized form of Butcher series (B-series) which we call aromatic B-series. We obtain an explicit description of aromatic B-series in terms of elementary differentials associated to aromatic trees, which are directed graphs generalizing trees. We also define a new...
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Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. These algebras have been extensively studied in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis, control theory, stochastic differential equations and renormalization. Butcher series are formal power series founded on pre-Lie alg...
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Martyn Butcher is TVCNS/Skin and Wound Care Service Manager, Plymouth Hospitals NHS Trust, Plymouth Pyoderma gangrenosum (PG) is a rare, painful, non-infectious, ulcerative, inflammatory skin condition. Clinicians need to be aware of PG because if the condition is incorrectly managed, it can lead to extensive tissue damage. Diagnosis is made largely on clinical appearance, from the patient hist...
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We show that the rapid evolution in the fraction of blue, star-forming galaxies seen in clusters as a function of redshift (the Butcher-Oemler effect) can be explained very simply if structure formation in the universe proceeeds hierarchically. We show that a rich cluster observed at high redshift has had a significantly different evolutionary history to a cluster of the same richness observed ...
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omas, and is limited to the cranial-spinal axis, without systemic disease. A known high-risk group for PCNSL comprises patients with immunosuppression, but in the last 15-20 years there has been a threefold increase in patients who are immunocompetent, and the causative factors for this increase are unknown [l-31. PCNSL commonly presents as a rapidly space-occupying lesion. Rarely, patients wit...
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ژورنال
عنوان ژورنال: Foundations of Computational Mathematics
سال: 2015
ISSN: 1615-3375,1615-3383
DOI: 10.1007/s10208-015-9245-0