Search Results - "Hale, Nicholas"
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1
Adjustable photoacoustic tomography probe improves light delivery and image quality
Published in Photoacoustics (Munich) (01-12-2018)“…[Display omitted] One cause for suboptimal photoacoustic tomography (PAT) penetration depth is attenuation of incident light by soft tissue. To better…”
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2
Chebfun and numerical quadrature
Published in Science China. Mathematics (01-09-2012)“…Chebfun is a Matlab-based software system that overloads Matlab’s discrete operations for vectors and matrices to analogous continuous operations for functions…”
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An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type
Published in IMA journal of numerical analysis (16-10-2019)“…Abstract The Legendre-based ultraspherical spectral method for ordinary differential equations (Olver, S. & Townsend, A. (2013) A fast and well-conditioned…”
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4
The ultraspherical spectral element method
Published in Journal of computational physics (01-07-2021)“…•A sparse spectral element method in the high-polynomial regime.•Fast direct solver allows hp-adaptivity to be efficiently performed.•Precomputed operators can…”
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5
A fast FFT-based discrete Legendre transform
Published in IMA journal of numerical analysis (01-10-2016)Get full text
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Rectangular spectral collocation
Published in IMA journal of numerical analysis (01-01-2016)Get full text
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7
Detecting technological maturity from bibliometric patterns
Published in Expert systems with applications (01-09-2022)“…•Identify emergent technologies from open-source indicators using binary classifier.•Transition between emergence and growth is encoded in the shape of the…”
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Explicit construction of rectangular differentiation matrices
Published in IMA journal of numerical analysis (01-04-2016)Get full text
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Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals
Published in SIAM journal on numerical analysis (01-01-2008)Get full text
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10
A thick-walled sheet moulding compound automotive component: Manufacturing and performance
Published in Composites. Part A, Applied science and manufacturing (01-01-2020)“…Carbon Fibre Sheet Moulding Compounds (CF-SMCs) are lightweight materials very suitable for automotive parts. So far, their use was limited to thin components…”
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11
A spectral collocation method for functional and delay differential equations
Published 20-02-2024“…A framework for Chebyshev spectral collocation methods for the numerical solution of functional and delay differential equations (FDEs and DDEs) is described…”
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12
Interface Sensor Systems for Upper Limb Prosthetics
Published 01-01-2020“…Active prosthetic hands could benefit from tactile feedback at the fingers when performing a variety of daily activities, such as grasping and manipulating…”
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Dissertation -
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COMPUTING Aα, log( A ), AND RELATED MATRIX FUNCTIONS BY CONTOUR INTEGRALS
Published in SIAM journal on numerical analysis (01-01-2008)“…New methods are proposed for the numerical evaluation of f(A) or f(A)b, where f(A) is a function such as A 1/2 or log(A) with singularities in (—∞, 0] and A is…”
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14
A preliminary study on characterisation of finger interface kinetics using a pressure and shear sensor system
Published in Prosthetics and orthotics international (01-02-2018)“…Background: Our hands constantly handle objects throughout our lives, where a crucial component of this interaction is the detection of grasping (pressure) and…”
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15
Pricing European-type, early-exercise and discrete barrier options using an algorithm for the convolution of Legendre series
Published in Quantitative finance (02-08-2020)“…This paper applies an algorithm for the convolution of compactly supported Legendre series (the CONLeg method) (cf. Hale and Townsend, An algorithm for the…”
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16
New Quadrature Formulas from Conformal Maps
Published in SIAM journal on numerical analysis (01-01-2008)“…Gauss and Clenshaw-Curtis quadrature, like Legendre and Chebyshev spectral methods, make use of grids strongly clustered at boundaries. From the viewpoint of…”
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17
Quadratic Padé Approximation: Numerical Aspects and Applications
Published in Kompʹûternye issledovaniâ i modelirovanie (Online) (01-12-2019)Get full text
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18
NEW QUADRATURE FORMULAS FROM CONFORMAL MAPS
Published in SIAM journal on numerical analysis (2009)Get full text
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Approximate solutions to a nonlinear functional differential equation
Published 22-01-2024“…A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are…”
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20
An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type
Published 01-12-2017“…The Legendre-based ultraspherical spectral method for ordinary differential equations is combined with a formula for the convolution of two Legendre series to…”
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Journal Article