منابع مشابه
Computing Conformal Maps onto Canonical Slit Domains
We extend the results of [2] by computing conformal maps onto the canonical slit domains in Nehari [14]. Along the way, we demonstrate the computability of solutions to Neuman problems.
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By exploiting conformal maps to vertically slit regions in the complex plane, a recently developed rational spectral method [27] is able to solve PDEs with interior layer-like behaviour using significantly fewer collocation points than traditional spectral methods. The conformal maps are chosen to ‘enlarge the region of analyticity’ in the solution: an idea which can be extended to other numeri...
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Many voxel-based morphometric studies focus on describing structural differences at the group level – i.e., between different diagnostic groups. More recently, morphometric maps have also been used to classify individual subjects into diagnostic groups. In one study (Sun et al. 2009), maps of cortical gray matter density achieved 86.1% accuracy in discriminating psychotic patients from control ...
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Computation and continuation of traveling waves in phase field models: The computation of certain traveling waves has been shown to correspond to that of heteroclinic connections between equilibrium points of a dynamical system (see [10], [17]). The problem of computation and continuation of connecting orbits between equilibrium points and periodic orbits can be fully understood from [3],[4], a...
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Mathematical models are widely used throughout science and engineering in fields as diverse as physics, bioinformatics, robotics, image processing, and economics. Despite the broad range of applications, there are a few essential techniques used in addressing most problems. The Applied Mathematics major provides a foundation in these mathematical techniques and trains the student to use them in...
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ژورنال
عنوان ژورنال: The ANZIAM Journal
سال: 2012
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181112000119