780 resultados para Invariants de Riemann


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Bibliography: p. [289]-300.

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Available on demand as hard copy or computer file from Cornell University Library.

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Available on demand as hard copy or computer file from Cornell University Library.

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"Partitur von der Hand J. S. Bachs datiert 30.Aug.1742."

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Vol. 1: edited by Alfred Einstein and Adolf Sandberger; continuo realized by Franz Bennat. Vols. 2-3 (Bd. 1-2 of the opera) edited by Hugo Riemann.

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For two violins, violoncello, and piano.

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Reprint of 2d ed., 1921. Bibliographical footnotes.

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At head of title: Augener's edition. no.9201.

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This research work analyses techniques for implementing a cell-centred finite-volume time-domain (ccFV-TD) computational methodology for the purpose of studying microwave heating. Various state-of-the-art spatial and temporal discretisation methods employed to solve Maxwell's equations on multidimensional structured grid networks are investigated, and the dispersive and dissipative errors inherent in those techniques examined. Both staggered and unstaggered grid approaches are considered. Upwind schemes using a Riemann solver and intensity vector splitting are studied and evaluated. Staggered and unstaggered Leapfrog and Runge-Kutta time integration methods are analysed in terms of phase and amplitude error to identify which method is the most accurate and efficient for simulating microwave heating processes. The implementation and migration of typical electromagnetic boundary conditions. from staggered in space to cell-centred approaches also is deliberated. In particular, an existing perfectly matched layer absorbing boundary methodology is adapted to formulate a new cell-centred boundary implementation for the ccFV-TD solvers. Finally for microwave heating purposes, a comparison of analytical and numerical results for standard case studies in rectangular waveguides allows the accuracy of the developed methods to be assessed. © 2004 Elsevier Inc. All rights reserved.

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Riemann sums based on delta fine partitions are illustrated with a Maple procedure