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Numerical approximation of the logarithmic
"... The logarithmic capacity on compact sets in R 2 plays an important role in various fields of applied mathematics. Its value can be computed analytically for a few simple sets. In this paper a new algorithm is presented that numerically approximates the logarithmic capacity for more involved sets. Th ..."
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The logarithmic capacity on compact sets in R 2 plays an important role in various fields of applied mathematics. Its value can be computed analytically for a few simple sets. In this paper a new algorithm is presented that numerically approximates the logarithmic capacity for more involved sets
Numerical Approximation for SDE ii
"... To my father and mother, to whom I owe everything. ii Declaration I declare that this thesis was composed by myself and that the work contained therein is my own, except where explicitly stated otherwise in the text. (Qiming Li) iii To find approximate solution of general nD Stochastic Differential ..."
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Equations (SDEs), new SDEs approximation schemes are required. In this thesis, we introduce an order γ (γ> 1/2) strong scheme and an improved weak scheme for the numerical approximation of solutions to SDEs, driven by N Wiener processes. The strong scheme, called the 3/4 Scheme, which is dependent on a
Generating Numerical Approximations
"... We describe a computational model for planning phrases like “more than a quarter ” and “25.9 per cent ” which describe proportions at different levels of precision. The model lays out the key choices in planning a numerical description, using formal definitions of mathematical form (e.g., the distin ..."
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Cited by 3 (2 self)
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We describe a computational model for planning phrases like “more than a quarter ” and “25.9 per cent ” which describe proportions at different levels of precision. The model lays out the key choices in planning a numerical description, using formal definitions of mathematical form (e
rigorous theory and numerical approximations
, 2008
"... We revisit existence and stability of twopulse solutions in the fifthorder Korteweg–de Vries (KdV) equation with two new results. First, we modify the Petviashvili method of successive iterations for numerical (spectral) approximations of pulses and prove convergence of iterations in a neighborhoo ..."
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We revisit existence and stability of twopulse solutions in the fifthorder Korteweg–de Vries (KdV) equation with two new results. First, we modify the Petviashvili method of successive iterations for numerical (spectral) approximations of pulses and prove convergence of iterations in a
Asymptotic expansions and numerical approximation of
"... In the present paper we are concerned with boundaryvalue problems (BVP) for the generalized Emden–Fowler equations. Asymptotic expansions of the solution are obtained near the endpoints. We use a finitedifference scheme to approximate the solution and the convergence is accelerated by means of ext ..."
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In the present paper we are concerned with boundaryvalue problems (BVP) for the generalized Emden–Fowler equations. Asymptotic expansions of the solution are obtained near the endpoints. We use a finitedifference scheme to approximate the solution and the convergence is accelerated by means
Numerical Approximation of Homoclinic Chaos
 Numer. Algorithms
, 1995
"... Transversal homoclinic orbits of maps are known to generate a Cantor set on which a power of the map conjugates to the Bernoulli shift on two symbols. This conjugacy may be regarded as a coding map, which for example assigns to a homoclinic symbol sequence a point in the Cantor set that lies on a ho ..."
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Cited by 2 (0 self)
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homoclinic orbit of the map with a prescribed number of humps. In this paper we develop a numerical method for evaluating the conjugacy at periodic and homoclinic symbol sequences. The approach combines our previous method for computing the primary homoclinic orbit with the constructive proof of Smale
Numerical approximation of the thermistor problem ∗
, 711
"... We use a finite element approach based on Galerkin method to obtain approximate steady state solutions of the thermistor problem with temperature dependent electrical conductivity. ..."
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We use a finite element approach based on Galerkin method to obtain approximate steady state solutions of the thermistor problem with temperature dependent electrical conductivity.
Numerical Approximation For The P–Value
"... The problem pursued in this research is to continue to develop a numerical method for estimating an important quantity used in statistical analysis called a p–value. This research continues work started in Kuhn [5]. 1 Statement of the Problem The problem pursued in this research is to continue the d ..."
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The problem pursued in this research is to continue to develop a numerical method for estimating an important quantity used in statistical analysis called a p–value. This research continues work started in Kuhn [5]. 1 Statement of the Problem The problem pursued in this research is to continue
Theoretical and numerical approximation of the . . .
, 2012
"... This dissertation studies the approximation of the continuous total variation based model for image denoising by piecewise polynomial functions on polygonal domains. Our main contributions are the explicit construction of a continuous piecewise linear approximation on rectangular domains, and the co ..."
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This dissertation studies the approximation of the continuous total variation based model for image denoising by piecewise polynomial functions on polygonal domains. Our main contributions are the explicit construction of a continuous piecewise linear approximation on rectangular domains
Results 1  10
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