170,163 research outputs found

    Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation

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    Combining ideas from Alouges et al. (2014, A convergent and precise finite element scheme for Landau–Lifschitz–Gilbert equation. Numer. Math., 128, 407–430) and Praetorius et al. (2018, Convergence of an implicit-explicit midpoint scheme for computational micromagnetics. Comput. Math. Appl., 75, 1719–1738) we propose a numerical algorithm for the integration of the nonlinear and time-dependent Landau–Lifshitz–Gilbert (LLG) equation, which is unconditionally convergent, formally (almost) second-order in time, and requires the solution of only one linear system per time step. Only the exchange contribution is integrated implicitly in time, while the lower-order contributions like the computationally expensive stray field are treated explicitly in time. Then we extend the scheme to the coupled system of the LLG equation with the eddy current approximation of Maxwell equations. Unlike existing schemes for this system, the new integrator is unconditionally convergent, (almost) second-order in time, and requires the solution of only two linear systems per time step

    Wundersames Entgen/ Mit vier Flügeln/ vier Beinen/ spitzigem Schnabel/ und Pauschel-haubigtem Kopffe [et]c. : nebenst mehr gar neulichen Seltsamkeiten an dergleichen Mißgeburten/ Himmels-Zeichen/ Feuer-Kugeln/ Krieges-Heeren in der Lufft/ Feuersbrünsten [et]c.

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    zu Pappier gebracht durch M. Johannes Praetorius, P.L.C.Auch in: Praetorius, Johannes: Deutschlandes Neue Wunder-Chronik ... - 1678Anlaß: Mißgeburt einer Hausente in Leipzig, Vorstadt vor dem Grimmaischen Tor, am 7. Juni 167

    Cereopsius praetorius

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    <i>Cereopsius praetorius</i> (Erichson 1834) <p> <i>Lamia praetoria</i> Erichson 1842. Nova Acta Physico-Medica Academiae Caesareae-Leopoldino-Carolinae Naturae Curiosorum 16: 268.</p> <p> <b>Distribution:</b> Philippines: Luzon (Manila, Mont Isorog, Ifugao *, Nueva Vizcaya *), Palillo, Catanduanes, Negros*, Camiguin *; Taiwan (Orchid I.)</p> <p> <b>Type deposition:</b> HOLOTYPE (♀)—Museum for Naturkunde—Leibniz Institute for Evolution and Biodiversity Science, Berlin; SYNTYPE —The Natural History Museum, London</p> <p> <b>Scientific synonym:</b> <i>Cereopsius shamankariyali</i> Kano 1939</p> <p> <b>Unavailable names:</b> <i>Cereopsius praetorius m. transitivus</i> Breuning 1944; <i>Cereopsius praetorius m. flavescens</i> Breuning 1944; <i>Cereopsius praetorius m.</i> <i>elpenor</i> Breuning 1944.</p> <p> <b>Note:</b> “ <i>Monochamus elpenor</i> Newman ” was a <i>nomen nudum</i> of the collection of the British Museum, which Pascoe (1862) cited for the first time. Thomson (1864) mentioned it as type-species of <i>Cereopsiu</i> s and Aurivillius (1922) considered it as an aberration of <i>C. praetoriu</i> s; nonetheless, nobody described or figured this taxon. Finally, Breuning (1944a) identified it with a light form of <i>C. pretorius</i>, giving a description but without indicating a type or a typical locality. This taxon must be attributed to Breuning but, being described as a morph, it is infrasubspecific and unavailable according to the ICZN 45.6.1.</p>Published as part of <i>Medina, Milton Norman, Mantilla, Leslae Kay, Cabras, Analyn & Vitali, Francesco, 2021, Catalogue of the genus Cereopsius Pascoe 1857 (Coleoptera: Cerambycidae Lamiinae) in the Philippines with description of a new species from Mindanao, pp. 383-391 in Zootaxa 5061 (2)</i> on page 385, DOI: 10.11646/zootaxa.5061.2.11, <a href="http://zenodo.org/record/5649449">http://zenodo.org/record/5649449</a&gt

    Theatrum Instrumentorum Seu Sciagraphia Michaelis Praetorii C. : Darinnen Eigentliche Abriß und Abconterfeyung/ fast aller derer Musicalischen Instrumenten, so itziger zeit in Welschland/ Engeland/ Teutschland und andern Ortern ... vorhanden seyn ...

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    Nicht identisch mit VD17 12:651877H (dort Lagensignatur A2 unter dem Aufbau über der Zierleiste über den Tasten der Orgel)Auch in: Praetorius, Michael: Syntagmatis Musici Tomus ..., 2 (1620)Vorlageform des Erscheinungsvermerks: Wolffenbüttel/ Jm Jahr 1620

    Simple error estimators for the Galerkin BEM for some hypersingular integral equation in 2D

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    A posteriori error estimation is an important tool for reliable and efficient Galerkin boundary element computations. For hypersingular integral equations in 2D with positive-order Sobolev space, we analyze the mathematical relation between the (h− h/2)-error estimator from [Ferraz-Leite, Praetorius 2008], the two-level error estimator from [Maischak, Mund, Stephan 1997], and the averaging error estimator from [Carstensen, Praetorius 2007]. All of these a posteriori error estimators are simple in the following sense: First, the numerical analysis can be done within the same mathematical framework, namely localization techniques for the energy norm. Second, there is almost no implementational overhead for the realization
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