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The computation of Jordan blocks in parameter-dependent matrices
This paper extends the implicit determinant method introduced by Spence & Poulton (2005, J. Comput. Phys., 204, 65–81) to obtain a numerical technique for the calculation of a two-dimensional Jordan block in a...
The computation of Jordan blocks in parameter-dependent matrices
This paper extends the implicit determinant method introduced by Spence & Poulton (2005, J. Comput. Phys., 204, 65–81) to obtain a numerical technique for the calculation of a two-dimensional Jordan block in a...
Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow
The identification of instability in large-scale dynamical systems caused by Hopf bifurcation is difficult because of the problem of identifying the rightmost pair of complex eigenvalues of large sparse generalized eigenvalue...
Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow
The identification of instability in large-scale dynamical systems caused by Hopf bifurcation is difficult because of the problem of identifying the rightmost pair of complex eigenvalues of large sparse generalized eigenvalue...
Andrew Carnegie and the foundations of contemporary entrepreneurial philanthropy
This paper focuses upon the relationship between the business and philanthropic endeavours of world-making entrepreneurs; asking why, how and to what ends these individuals seek to extend their reach in society beyond...
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
The Restricted Additive Schwarz method with impedance transmission conditions, also known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple overlapping one-level parallel domain decomposition method...
Andrew Carnegie and the foundations of contemporary entrepreneurial philanthropy
This paper focuses upon the relationship between the business and philanthropic endeavours of world-making entrepreneurs; asking why, how and to what ends these individuals seek to extend their reach in society beyond...
Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method
We propose a fast algorithm to calculate the $H_{\infty}$-norm of a transfer matrix. The method builds on a well-known relationship between singular values of the transfer function and pure imaginary eigenvalues of a...
We propose a fast algorithm to calculate the $H_{\infty}$-norm of a transfer matrix. The method builds on a well-known relationship between singular values of the transfer function and pure imaginary eigenvalues of a...
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
The Restricted Additive Schwarz method with impedance transmission conditions, also known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple overlapping one-level parallel domain decomposition method...
Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method
We propose a fast algorithm to calculate the $H_{\infty}$-norm of a transfer matrix. The method builds on a well-known relationship between singular values of the transfer function and pure imaginary eigenvalues of a...
We propose a fast algorithm to calculate the $H_{\infty}$-norm of a transfer matrix. The method builds on a well-known relationship between singular values of the transfer function and pure imaginary eigenvalues of a...
Lectin pathway effector enzyme mannan-binding lectin-associated serine protease-2 can activate native complement C3 in absence of C4 and/or C2.
Sadam Yaseen, Gregory Demopulos, Thomas Dudler, Munehisa Yabuki, Christi L Wood, W Jason Cummings, Larry W Tjoelker, Teizo Fujita, Steven Sacks, Peter Garred, Peter Andrew, Robert B Sim, Peter J Lachmann, Russell Wallis, Nicholas Lynch, Wilhelm J Schwaeble
Aug 05, 2019
All 3 activation pathways of complement-the classic pathway (CP), the alternative pathway, and the lectin pathway (LP)- converge into a common central event: the cleavage and activation of the abundant third complement...
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis
This paper is concerned with resolvent estimates on the real axis for the Helmholtz equation posed in the exterior of a bounded obstacle with Dirichlet boundary conditions when the obstacle is trapping. There are two resolvent...
Conrad Russell, Richard Cust, and Andrew Thrush, eds. King James VI/I and His English Parliaments. New York
David L Smith
May 08, 2019
This book is a revised and extended version of the six Trevelyan Lectures that Conrad Russell delivered at Cambridge University in the Lent Term of 1995. Between then and his death in October 2004, Russell developed the lectures...
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis
This paper is concerned with resolvent estimates on the real axis for the Helmholtz equation posed in the exterior of a bounded obstacle with Dirichlet boundary conditions when the obstacle is trapping. There are two resolvent...
IPR Policy Brief - Extending working life
Andrew Weyman
Mar 01, 2013
Despite recently announced rises in the minimum age at which the State Pension is claimable, many people continue to leave the labour market before their State Pension age (SPA).
Indeed, although a significant...
Indeed, although a significant...
Published by: University of Bath
IPR Policy Brief - Extending working life
Andrew Weyman
Mar 01, 2013
Despite recently announced rises in the minimum age at which the State Pension is claimable, many people continue to leave the labour market before their State Pension age (SPA).
Indeed, although a significant...
Indeed, although a significant...
Published by: University of Bath
Correction to
Jonathan M Lawton, Mariam Habib, Bingkui Ma, Roger A Brooks, Serena M Best, Andrew L Lewis, Neil Rushton, William Bonfield
Jun 11, 2018
The article "The effect of cationically modified phosphorylcholine polymers on human osteoblasts in vitro and their effect on bone formation in vivo", written by Jonathan M. Lawton, Mariam Habib, Bingkui Ma, Roger A. Brooks...
Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition
We prove sharp bounds on certain impedance-to-impedance maps (and their compositions) for the Helmholtz equation with large wavenumber (i.e., at high frequency) using semiclassical defect measures. Gong et al. (Numer. Math....
Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering
We prove wavenumber-explicit bounds on the Dirichlet-to-Neumann map for the Helmholtz equation in the exterior of a bounded obstacle when one of the following three conditions holds: (i) the exterior of the obstacle is...
E. A. Spence
Jan 01, 0001
We prove wavenumber-explicit bounds on the Dirichlet-to-Neumann map for the Helmholtz equation in the exterior of a bounded obstacle when one of the following three conditions holds: (i) the exterior of the obstacle is...
Inexact inverse subspace iteration with preconditioning applied to non-Hermitian eigenvalue problems
Convergence results are provided for inexact inverse subspace iteration applied to the problem of finding the invariant subspace associated with a small number of eigenvalues of a large sparse matrix. These results are...
Environmental attitudes of polluting SMEs
In this paper we explore the environmental attitudes of polluting SMEs (small-scale firms that produce or deal with environmentally sensitive goods) from the perspective of owner/managers in a low-income developing country...
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