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AMC
2006
94views more  AMC 2006»
15 years 4 months ago
Error analysis of a specialized numerical method for mathematical models from neuroscience
The exponential Euler method is a nonstandard approximation scheme that was developed specifically for the Hodgkin-Huxley differential equation models that arise in neuroscience a...
Jiyeon Oh, Donald A. French
CN
2007
99views more  CN 2007»
15 years 4 months ago
Reducing the cost of applying adaptive test cases
The testing of a state-based system may involve the application of a number of adaptive test cases. Where the implementation under test (IUT) is deterministic, the response of the...
Robert M. Hierons, Hasan Ural
JNS
2007
85views more  JNS 2007»
15 years 4 months ago
Long-Time Accuracy for Approximate Slow Manifolds in a Finite-Dimensional Model of Balance
We study the slow singular limit for planar anharmonic oscillatory motion of a charged particle under the influence of a perpendicular magnetic field when the mass of the particl...
G. Gottwald, M. Oliver, N. Tecu
148
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JSCIC
2007
131views more  JSCIC 2007»
15 years 4 months ago
An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection-Diffusion Problems
Abstract. We analyze the so-called the minimal dissipation local discontinuous Galerkin method for convection-diffusion or diffusion problems. The distinctive feature of this met...
Bernardo Cockburn, Bo Dong
EJC
2000
15 years 4 months ago
Cyclic Polytopes and Oriented Matroids
Consider the moment curve in the real Euclidean space Rd defined parametrically by the map : R Rd , t (t) = (t, t2 , . . . , td ). The cyclic d-polytope Cd(t1, . . . , tn) is t...
Raul Cordovil, Pierre Duchet