Introduction to Numerical Analysis.

Fröberg, Carl-Erik; Stoer, Josef; Bulirsch, Roland

doi:10.2307/2007454

Cited by 1,282 publications

(17 citation statements)

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“…This is necessary to account for the full costs of initial treatment. When assessing total QALYs, we aggregated using Simpson's rule, which is an improvement on the half-cycle correction most commonly used (see, for example, Fröberg, 1969). 141 …”

mentioning

confidence: 99%

Hysterectomy, endometrial ablation and Mirena® for heavy menstrual bleeding: a systematic review of clinical effectiveness and cost-effectiveness analysis

Bhattacharya

Middleton²,

Tsourapas³

et al. 2011

Health Technol Assess

100

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How to obtain copies of this and other HTA programme reports An electronic version of this title, in Adobe Acrobat format, is available for downloading free of charge for personal use from the HTA website (www.hta.ac.uk). A fully searchable DVD is also available (see below).Printed copies of HTA journal series issues cost £20 each (post and packing free in the UK) to both public and private sector purchasers from our despatch agents.Non-UK purchasers will have to pay a small fee for post and packing. For European countries the cost is £2 per issue and for the rest of the world £3 per issue. How to order:-fax (with credit card details) -post (with credit card details or cheque) -phone during office hours (credit card only).Additionally the HTA website allows you to either print out your order or download a blank order form. Contact details are as follows:Synergie UK (HTA Department) Digital House, The Loddon Centre Wade Road Basingstoke Hants RG24 8QW Email: orders@hta.ac.uk Tel: 0845 812 4000 -ask for 'HTA Payment Services' (out-of-hours answer-phone service) Fax: 0845 812 4001 -put 'HTA Order' on the fax header Payment methods Paying by chequeIf you pay by cheque, the cheque must be in pounds sterling, made payable to University of Southampton and drawn on a bank with a UK address.Paying by credit card You can order using your credit card by phone, fax or post. SubscriptionsNHS libraries can subscribe free of charge. Public libraries can subscribe at a reduced cost of £100 for each volume (normally comprising 40-50 titles). The commercial subscription rate is £400 per volume (addresses within the UK) and £600 per volume (addresses outside the UK). Please see our website for details. Subscriptions can be purchased only for the current or forthcoming volume.How do I get a copy of HTA on DVD?Please use the form on the HTA website (www.hta.ac.uk/htacd/index.shtml). HTA on DVD is currently free of charge worldwide.The website also provides information about the HTA programme and lists the membership of the various committees. HTA NIHR Health Technology Assessment programmeThe Health Technology Assessment (HTA) programme, part of the National Institute for Health Research (NIHR), was set up in 1993. It produces high-quality research information on the effectiveness, costs and broader impact of health technologies for those who use, manage and provide care in the NHS. 'Health technologies' are broadly defined as all interventions used to promote health, prevent and treat disease, and improve rehabilitation and long-term care. The research findings from the HTA programme directly influence decision-making bodies such as the National Institute for Health and Clinical Excellence (NICE) and the National Screening Committee (NSC). HTA findings also help to improve the quality of clinical practice in the NHS indirectly in that they form a key component of the 'National Knowledge Service' . The HTA programme is needs led in that it fills gaps in the evidence needed by the NHS. There are three routes to the start of project...

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mentioning

confidence: 99%

Hysterectomy, endometrial ablation and Mirena® for heavy menstrual bleeding: a systematic review of clinical effectiveness and cost-effectiveness analysis

Bhattacharya

Middleton²,

Tsourapas³

et al. 2011

Health Technol Assess

100

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“…In this paper, a novel sensory data acquisition algorithm is proposed based on numerical analysis techniques [27] and Lagrange interpolation [28] in order to retrieve the critical points approximately. Such algorithm can adjust the sampling frequency of sensors adaptively according to the variation of physical world in order to dramatically reduce the amount of sensory data.…”

Section: Introductionmentioning

confidence: 99%

Critical data points retrieving method for big sensory data in wireless sensor networks

Zhu

Cheng

Cai

et al. 2016

J Wireless Com Network

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With the development and widespread application of wireless sensor networks (WSNs), the amount of sensory data grows sharply and the volumes of some sensory data sets are larger than terabytes, petabytes, or exabytes, which have already exceeded the processing abilities of current WSNs. However, such big sensory data are not necessary for most applications of WSNs, and only a small subset containing critical data points may be enough for analysis, where the critical data points including the extremum and inflection data points of the monitored physical world during given period. Therefore, it is an efficient way to reduce the amount of the big sensory data set by only retrieving the critical data points during sensory data acquisition process. Since most of the traditional sensory data acquisition algorithms were only designed for discrete data and did not support to retrieve critical points from a continuously varying physical world, this paper will study such a problem. In order to solve it, we firstly provided the formal definition of the δ-approximate critical points. Then, a data acquisition algorithm based on numerical analysis and Lagrange interpolation is proposed to acquire the critical points. The extensive theoretical analysis and simulation results are provided, which show that the proposed algorithm can achieve high accuracy for retrieving the δ-approximate critical points from the monitored physical world.

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“…Since approximate results may suffice, the integral can itself be approximated. Various simple numerical rules of the form K(β)= -Σw i f(x i ) ln(1-βx i ) could be used (for example, §10 of Fröberg [12] ). Griffith's [13] approximation of the form w 1 g(λ)ln(1-βλ)-w 2 g(λ min )ln(1-βλ min ) with weights w 1 , w 2 , can, if f(x) is finite at the endpoints and g(x)=f(x), be regarded as a 2-point rule using the endpoints (or a 3-point including x=0).…”

Section: Introductionmentioning

confidence: 99%

Some Fast Methods for Fitting Some One-parameter Spatial Models

Martin¹

2005

Journal of Mathematics and Statistics

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It is common in geographic modelling to use a one-parameter spatial model to specify the inverse covariance matrix in terms of I-βW, for some known matrix W. Exact Gaussian maximum likelihood estimation of β requires evaluation of the determinant of the covariance matrix. For large data sets, this evaluation of the determinant can be slow and good approximations can be useful. Seventy regional configurations are used to consider some approximations to the determinant of I-βW that are fast to evaluate, and their usefulness is compared.

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Introduction to Numerical Analysis.

Cited by 1,282 publications

References 0 publications

Hysterectomy, endometrial ablation and Mirena® for heavy menstrual bleeding: a systematic review of clinical effectiveness and cost-effectiveness analysis

Hysterectomy, endometrial ablation and Mirena® for heavy menstrual bleeding: a systematic review of clinical effectiveness and cost-effectiveness analysis

Critical data points retrieving method for big sensory data in wireless sensor networks

Some Fast Methods for Fitting Some One-parameter Spatial Models

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