Search Results - "BUDD, C. J."

Machine learning outperforms clinical experts in classification of hip fractures by Murphy, E. A., Ehrhardt, B., Gregson, C. L., von Arx, O. A., Hartley, A., Whitehouse, M. R., Thomas, M. S., Stenhouse, G., Chesser, T. J. S., Budd, C. J., Gill, H. S.

“…Hip fractures are a major cause of morbidity and mortality in the elderly, and incur high health and social care costs. Given projected population ageing, the…”
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Resolution of sharp fronts in the presence of model error in variational data assimilation by Freitag, M. A., Nichols, N. K., Budd, C. J.

“…We show that the four‐dimensional variational data assimilation method (4DVar) can be interpreted as a form of Tikhonov regularization, a very familiar method…”
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A comparison of models and methods for simulating the microwave heating of moist foodstuffs by Budd, C.J., Hill, A.D.C.

“…We study the problem of heating a one-dimensional approximation to a slab-sided moist foodstuff in a microwave oven, allowing for a phase change and drying. We…”
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Grazing and border-collision in piecewise-smooth systems: a unified analytical framework by di Bernardo, M, Budd, C J, Champneys, A R

“…A comprehensive derivation is presented of normal form maps for grazing bifurcations in piecewise smooth models of physical processes. This links grazings with…”
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Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation by Budd, C.J., Kuske, R.

“…A new asymptotic multiple scale expansion is used to derive envelope equations for localized spatially periodic patterns in the context of the generalized…”
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The geometry of r-adaptive meshes generated using optimal transport methods by Budd, C.J., Russell, R.D., Walsh, E.

“…The principles of mesh equidistribution and alignment play a fundamental role in the design of adaptive methods, and a metric tensor and mesh metric are useful…”
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Temperature rise of the post and on the root surface during ultrasonic post removal by Budd, J. C., Gekelman, D., White, J. M.

“…Aim  To determine the temperature rise on the root surface caused by ultrasonic post removal using different devices and techniques in a laboratory setting…”
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Precise computations of chemotactic collapse using moving mesh methods by Budd, C.J., Carretero-González, R., Russell, R.D.

“…We consider the problem of computing blow-up solutions of chemotaxis systems, or the so-called chemotactic collapse. In two spatial dimensions, such solutions…”
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Cellular Buckling in Long Structures by Hunt, G W, MA Peletier, Champneys, A R, Woods, P D, Wadee, M Ahmer, Budd, C J, Lord, G J

“…A long structural system with an unstable (subcritical)post-buckling response that subsequently restabilizes typically deformsin a cellular manner, with…”
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Fast three dimensional r-adaptive mesh redistribution by Browne, P.A., Budd, C.J., Piccolo, C., Cullen, M.

“…This paper describes a fast and reliable method for redistributing a computational mesh in three dimensions which can generate a complex three dimensional mesh…”
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Image-model coupling: application to an ionospheric storm by Smith, N D, Pokhotelov, D, Mitchell, C N, Budd, C J

“…Techniques such as tomographic reconstruction may be used to provide images of electron content in the ionosphere. Models are also available which attempt to…”
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Image-model coupling: a simple information theoretic perspective for image sequences by Smith, N D, Mitchell, C N, Budd, C J

“…Images are widely used to visualise physical processes. Models may be developed which attempt to replicate those processes and their effects. The technique of…”
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Asymptotics of Multibump Blow-up Self-Similar Solutions of the Nonlinear Schrödinger Equation by Budd, C. J.

“…This paper examines blow-up self-similar solutions of the cubic nonlinear Schrodinger equation close to the critical dimension $d=2$. It gives a formal…”
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Self-Similar Blow-up in Higher-Order Semilinear Parabolic Equations by Budd, C. J., Galaktionov, V. A., Williams, J. F.

“…We study the Cauchy problem in R × R for one-dimensional 2mth-order, m > 1, semilinear parabolic PDEs of the form ($D_{x} = \partial/\partial x) u_t =…”
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Asymptotics of cellular buckling close to the Maxwell load by Budd, C. J., Hunt, G. W., Kuske, R.

“…in terms of the system parameters is given. The agreement between the numerical calculations and the asymptotic approximations is striking…”
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The moving mesh semi-Lagrangian MMSISL method by Cook, S.P., Budd, C.J., Melvin, T.

“…We introduce a novel location-based moving mesh algorithm MMSISL in which the arrival points in the Semi-Implicit Semi-Lagrangian (SISL) algorithm are located…”
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Asymptotical computations for a model of flow in saturated porous media by Amodio, P., Budd, C.J., Koch, O., Settanni, G., Weinmüller, E.

“…We discuss an initial value problem for an implicit second order ordinary differential equation which arises in models of flow in saturated porous media such…”
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Regularization techniques for ill-posed inverse problems in data assimilation by Budd, C.J., Freitag, M.A., Nichols, N.K.

“…Optimal state estimation from given observations of a dynamical system by data assimilation is generally an ill-posed inverse problem. In order to solve the…”
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The effect of numerical model error on data assimilation by Jenkins, S.E., Budd, C.J., Freitag, M.A., Smith, N.D.

“…Strong constraint 4D-Variational data assimilation (4D-Var) is a method used to create an initialisation for a numerical model, that best replicates subsequent…”
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An evaluative study on ESO and SIMP for optimising a cantilever tie—beam by Edwards, C S, Kim, H A, Budd, C J

“…We examine both the evolutionary structural optimisation (ESO) and solid isotropic microstructure with penalisation (SIMP) methodologies by investigating a…”
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