On Peter's Formula for Probable Error.
W. Woolsey Johnson (1893)
Bulletin of the New York Mathematical Society
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W. Woolsey Johnson (1893)
Bulletin of the New York Mathematical Society
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Gabriel N. Gatica (1987)
Extracta Mathematicae
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Segeth, Karel
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A lot of papers and books analyze analytical a posteriori error estimates from the point of view of robustness, guaranteed upper bounds, global efficiency, etc. At the same time, adaptive finite element methods have acquired the principal position among algorithms for solving differential problems in many physical and technical applications. In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures...
Abdelhaq El Jai, Houria Hamzaoui (2009)
International Journal of Applied Mathematics and Computer Science
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The purpose of this short paper is to provide original results related to the choice of the number of sensors and their supports for general distributed parameter systems. We introduce the notion of extended sensors and we show that the observation error decreases when the support of a sensor is widened. We also show that the observation error decreases when the number of sensors increases.
Karel Tříska (1933)
Aktuárské vědy
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Vejchodský, Tomáš
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This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamental properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples.
Stephen Wainger (1969-1970)
Séminaire de théorie des nombres de Bordeaux
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