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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...
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...
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...
Development and testing of an intervention to increase staff knowledge and confidence in responding to health anxiety in the context of cognitive decline
Background: Memory complaint in the absence of organic pathology is a common phenomenon accounting for up to one third of patients presenting to memory clinics. Health anxiety has been specifically linked to dementia worry and...
ERT as Mobile Learning by Necessity
The term as below Emergency Remote Teaching (ERT) has been adopted worldwide. In practice, approaches to ERT have been contextual with diverse lecturer and student experiences owing to complex assemblages of sociomaterial...
Published by: IGI Global Scientific Publishing
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....
Considerations for Setting Up Play Therapy Training Clinics
When setting up a play therapy training clinic, there are many considerations to explore regarding designing a therapeutic space, selecting toys and other materials, exploring the rationale for the toy selection and examining...
Published by: IGI Global Scientific Publishing
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...
Bounding acoustic layer potentials via oscillatory integral techniques
E. A. Spence
Mar 01, 2015
We consider the Helmholtz single-layer operator (the trace of the single-layer potential) as an operator on (Formula presented.) where (Formula presented.) is the boundary of a 3-d obstacle. We prove that if (Formula presented.)...
Convergence theory for inexact inverse iteration applied to the generalised nonsymmetric eigenproblem
In this paper we consider the computation of a finite eigenvalue and corresponding right eigenvector of a large sparse generalised eigenproblem Ax = Mx using inexact inverse iteration. Our convergence theory is quite general and...
Convergence of inexact inverse iteration with application to preconditioned iterative solves
In this paper we study inexact inverse iteration for solving the generalised eigenvalue problem A x=λM x. We show that inexact inverse iteration is a modified Newton method and hence obtain convergence rates for various versions...
Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering
Coercivity is an important concept for proving existence and uniqueness of solutions to variational problems in Hilbert spaces. But while coercivity estimates are well known for many variational problems arising from partial...
Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering
Coercivity is an important concept for proving existence and uniqueness of solutions to variational problems in Hilbert spaces. But while coercivity estimates are well known for many variational problems arising from partial...
Development and testing of an intervention to increase staff knowledge and confidence in responding to health anxiety in the context of cognitive decline
Background: Memory complaint in the absence of organic pathology is a common phenomenon accounting for up to one third of patients presenting to memory clinics. Health anxiety has been specifically linked to dementia worry and...
Analysis of box schemes for reactive flow problems
Key properties of the box scheme are shown to be advantageous for reactive flow problems. Unconditional stability and compact conservation are shown by a detailed modified equation analysis to enable the scheme to reflect...
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