Learn More
We deene the Newton iteration for solving the equation f y = 0, where f is a map from a Lie group to its corresponding Lie algebra. Two v ersions are presented, which are formulated independently of any metric on the Lie group. Both formulations reduce to the standard method in the Euclidean case, and are related to existing algorithms on certain Riemannian(More)
In this work we have derived an eecient and eeective adaptive mesh reenement strategy for a stabilised implementation of the lowest order P 1 { P 0 mixed nite element method for steady incompressible Stokes ow. Our analysis indicates that the accuracy of simple a-posteriori error estimators is independent of the stabilisation parameter, and that if the(More)
We compare piecewise linear and polynomial collocation approaches for the numerical solution of a Fredholm integro-differential equations modelling neural networks. Both approaches combine the use of Gaussian quadrature rules on an infinite interval of integration with interpolation to a uniformly distributed grid on a bounded interval. These methods are(More)
This paper extends the results of synaptically generated wave propagation through a network of connected excitatory neurons to a continuous model, defined by a Fredholm Volterra integro-differential equation (FVIDE), which includes memory effects of the past in the propagation. Stochastic approximation and numerical simulations are discussed. 2006 Elsevier(More)
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. American(More)
We establish a relation between the length T of the integration window of a linear differential equation x ′ +Ax = b and a spectral parameter s *. This parameter is determined by comparing the exact solution x(T) at the end of the integration window to the solution of a linear system obtained from the Laplace transform of the differential equation by(More)