Search Results - "Betts, T J"

A sparse nonlinear optimization algorithm by BETTS, J. T, FRANK, P. D

“…This paper presents a method for solving large sparse nonlinear programming problems, addressing deficiencies of methods suitable for small dense problems…”
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Solid phase microextraction of volatile constituents from individual fresh Eucalyptus leaves of three species by Betts, T J

“…Methyl polysiloxane solid-phase microextraction fibres were used for ten minutes to adsorb volatile constituents from headspace above all or part of a single…”
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Correlation Coefficients of Solute Relative Retentions for Pairs of Modified Cyclodextrins: Evaluation of Selectivity by Differently Responding Gas Chromatographic Stationary Phases by Betts, T.J.

“…Relative retention times versus the n-undecane for ten diverse probe solutes from volatile oils are scatterplotted between pairs of modified cyclodextrin (CD)…”
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Compensating for order variation in mesh refinement for direct transcription methods II: computational experience by Betts, J.T., Biehn, N., Campbell, S.L., Huffman, W.P.

“…The numerical theory for Implicit Runge Kutta methods shows that there can be order reduction when these methods are applied to either stiff or differential…”
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The Use of Linear Expressions of Solute Boiling Point Versus Retention to Indicate Special Interactions with the Molecular Rings of Modified Cyclodextrin Phases in Gas Chromatography by Betts, T.J.

“…The boiling points (°C, 1 × 10) of diverse C10 polar solutes from volatile oils are set against their relative retention times versus n-undecane to calculate…”
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Direct transcription solution of higher-index optimal control problems and the virtual index by Engelsone, A., Campbell, S.L., Betts, J.T.

“…Direct transcription methods are a popular approach for solving optimal control problems. They are sometimes able to solve problems that the classical…”
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Comparison of three diacetyl-cyclodextrin gas chromatographic stationary phases: Possible indicators of the chemical nature of constituents of volatile oils by Betts, T. J

“…Relative retention times (RR) versusn-undecane for thirty solutes from volatile oils are determined for Alpha-, Beta- and Gamma-Dex 225 capillaries. These are…”
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Direct transcription solution of optimal control problems with higher order state constraints: theory vs practice by Betts, J T, Campbell, S L, Engelsone, A

“…Theoretical results from optimal control theory and numerical analysis play an important role in understanding and numerically solving optimal control problems…”
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Chemical characterisation of the different types of volatile oil constituents by various solute retention ratios with the use of conventional and novel commercial gas chromatographic stationary phases by Betts, Thomas J

“…Retention ratios of an unknown solute peak from a volatile oil can help to identify its chemical type. Relative retentions on conventional stationary phases…”
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Selection of a Trio of Different Selective Gas Chromatographic Stationary Phases, and Use of Retention Ratios Between Phase Pairs to Indicate Some Solute Structures: “MPMS” Liquid Crystal Polysiloxane Re-assessed by Betts, T. J.

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Procedure for assessment of a chemically selective gas chromatographic stationary phase: “Chirasil-val” re-assessed by Betts, T. J.

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Mesh refinement in direct transcription methods for optimal control by Betts, John T., Huffman, William P.

“…The direct transcription method for solving optimal control problems involves the use of a discrete approximation to the original problem. This paper describes…”
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New method for testing the absorbency of surgical dressings by Betts, T J, Czarniak, P A, Filippin, P

“…Absorbent cellulose dressings have been tested by immersion in a standard aqueous solution of picric acid followed by standard draining, elution of the picric…”
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Solving the nonlinear least square problem: Application of a general method by Betts, J. T.

“…An algorithm for solving the general nonlinear least-square problem is developed. An estimate for the Hessian matrix is constructed as the sum of two matrices…”
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An accelerated multiplier method for nonlinear programming by Betts, J. T.

“…This paper describes an accelerated multiplier method for solving the general nonlinear programming problem. The algorithm poses a sequence of unconstrained…”
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Plots of relative retention against solute boiling point indicate extra solute interactions with a liquid crystal polysiloxane stationary phase by Betts, T.J.

“…Using a commercial liquid crystal polysiloxane phase MPMS capillary, relative retention times to n-tetradecane were plotted against literature boiling points…”
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Attempts to improve the Pharmacopoeial water-holding capacity test for absorbent dressings by Betts, T J

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A direct approach to solving optimal control problems by Betts, J.T.

“…Historically, researchers have solved optimal control problems using the calculus of variations-an approach called the indirect method. This technique led to…”
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Use of a trio of modified cyclodextrin gas chromatographic phases to provide structural information on some constituents of volatile oils by Betts, T.J.

“…A trio of modified cyclodextrin (CD) gas chromatographic phases has been selected to provide structural information on some of the diverse constituents of…”
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An improved penalty function method for solving constrained parameter optimization problems by Betts, J. T.

“…An effective algorithm is described for solving the general constrained parameter optimization problem. The method is quasi-second-order and requires only…”
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