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A fast method for solving the heat equation by layer potentials
 Journal of Computational Physics
, 2007
"... Boundary integral formulations of the heat equation involve time convolutions in addition to surface potentials. If M is the number of time steps and N is the number of degrees of freedom of the spatial discretization then the direct computation of a heat potential involves order N 2M2 operations. ..."
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Cited by 15 (4 self)
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. This article describes a fast method to compute three dimensional heat potentials which is based on Chebyshev interpolation of the heat kernel in both space and time. The computational complexity is order p4q2NM operations, where p and q are the orders of the polynomial approximation in space and time. 1
Understanding FaultTolerant Distributed Systems
 COMMUNICATIONS OF THE ACM
, 1993
"... We propose a small number of basic concepts that can be used to explain the architecture of faulttolerant distributed systems and we discuss a list of architectural issues that we find useful to consider when designing or examining such systems. For each issue we present known solutions and design ..."
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Cited by 374 (23 self)
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We propose a small number of basic concepts that can be used to explain the architecture of faulttolerant distributed systems and we discuss a list of architectural issues that we find useful to consider when designing or examining such systems. For each issue we present known solutions and design
2475–2479 This journal is © The Royal Society of Chemistry 2008 Pu bl ish ed o n M ar ch 8. D ow nl oa de d by P en ns yl va ni a St at e U ni ve rs ity o n /0
, 2008
"... First published as an Advance Article on the web 3rd January 2001 The electrochemical generation and characterisation of a variety of oquinodimethanes (oQDMs) are described together with the outcome of preparative experiments in which they are key intermediates. The quinodimethanes are convenientl ..."
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Cited by 339 (7 self)
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only oPX polymer. The results are rationalised in terms of a double nucleophilic substitution mechanism where electron transfer between dienophile radicalanion and dihalide is relatively slow. Where electron transfer from maleate or fumarate radicalanions is likely to be fast o
Network Centric Warfare: Developing and Leveraging Information Superiority
 Command and Control Research Program (CCRP), US DoD
, 2000
"... the mission of improving DoD’s understanding of the national security implications of the Information Age. Focusing upon improving both the state of the art and the state of the practice of command and control, the CCRP helps DoD take full advantage of the opportunities afforded by emerging technolo ..."
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Cited by 308 (5 self)
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technologies. The CCRP pursues a broad program of research and analysis in information superiority, information operations, command and control theory, and associated operational concepts that enable us to leverage shared awareness to improve the effectiveness and efficiency of assigned missions. An important
FAST INTEGRAL EQUATION METHODS FOR THE MODIFIED HELMHOLTZ EQUATION
"... We present an efficient integral equation method approach to solve the forced heat equation, ut(x) − ∆u(x) = F (x, u, t), in a two dimensional, multiply connected domain, with Dirichlet boundary conditions. We first discretize in time, which is known as Rothe’s method, resulting in a nonhomogen ..."
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Cited by 4 (2 self)
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homogeneous modified Helmholtz equation that is solved at each time step. We formulate the solution to this equation as the sum of a volume potential and a double layer potential. Both potentials are solved using the Fast Multipole Method (FMM) resulting in a O(N) method where N is the total number
FastHenry: A MultipoleAccelerated 3D Inductance Extraction Program
, 1993
"... ... based on mesh analysis can be combined with a GMRESstyle iterative matrix solution technique to make a reasonably fast 3D frequency dependent inductance and resistance extraction algorithm. Unfortunately, both the computation time and memory re quired for that approach grow faster than n 2, w ..."
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Cited by 214 (48 self)
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... based on mesh analysis can be combined with a GMRESstyle iterative matrix solution technique to make a reasonably fast 3D frequency dependent inductance and resistance extraction algorithm. Unfortunately, both the computation time and memory re quired for that approach grow faster than n 2
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 184 (3 self)
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complementary to Fourier preparation by linear field gradients. Thus, by using multiple receiver coils in parallel scan time in Fourier imaging can be considerably reduced. The problem of image reconstruction from sensitivity encoded data is formulated in a general fashion and solved for arbitrary coil
A Fast Algorithm for the Evaluation of Heat Potentials
, 1989
"... Numerical methods for solving the heat equation via potential theory have been hampered by the high cost of evaluating heat potentials. When M points are used in the discretization of the boundary and N time steps are computed, an amount of work of the order O(N 2M2) has traditionally been required ..."
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Numerical methods for solving the heat equation via potential theory have been hampered by the high cost of evaluating heat potentials. When M points are used in the discretization of the boundary and N time steps are computed, an amount of work of the order O(N 2M2) has traditionally been
The cloned capsaicin receptor integrates multiple painproducing stimuli. Neuron
 Raumann BE, Basbaum AI and Julius D
, 1998
"... the molecular entities at the nociceptor terminal that detect noxious signals and transduce this information into membrane depolarization events. ..."
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Cited by 241 (9 self)
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the molecular entities at the nociceptor terminal that detect noxious signals and transduce this information into membrane depolarization events.
Results 1  10
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663,315