Displaying similar documents to “Hypothesis designs for three-hypothesis test problems.”

Arbitrary high-order finite element schemes and high-order mass lumping

Sébastien Jund, Stéphanie Salmon (2007)

International Journal of Applied Mathematics and Computer Science

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Computers are becoming sufficiently powerful to permit to numerically solve problems such as the wave equation with high-order methods. In this article we will consider Lagrange finite elementsof order k and show how it is possible to automatically generate the mass and stiffness matrices of any order with the help of symbolic computation software. We compare two high-order time discretizations: an explicit one using a Taylor expansion in time (a Cauchy-Kowalewski procedure) and an implicit...

Inverse sampling and triangular sequential designs to compare a small proportion with a reference value.

Víctor Moreno, Isaac Martín, Ferrán Torres, Manuel Horas, José Ríos, Juan R. González (2002)

Qüestiió

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Inverse sampling and formal sequential designs may prove useful in reducing the sample size in studies where a small population proportion p is compared with a hypothesized reference proportion p. These methods are applied to the design of a cytogenetic study about chromosomal abnormalities in men with a daughter affected by Turner's syndrome. First it is shown how the calculated sample size for a classical design depends on the parameterization used. Later this sample size is compared...

Numerical integration for high order pyramidal finite elements

Nilima Nigam, Joel Phillips (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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We examine the effect of numerical integration on the accuracy of high order conforming pyramidal finite element methods. Non-smooth shape functions are indispensable to the construction of pyramidal elements, and this means the conventional treatment of numerical integration, which requires that the finite element approximation space is piecewise polynomial, cannot be applied. We develop an analysis that allows the finite element approximation space to include non-smooth functions and...