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Descripción
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| A wide variety of processes in science and engineering can be represented by evolutionary Partial Differential Equations (PDEs) which, for realistic situations, must be solved numerically. The most efficient way to compute accurate solutions is by applying high-order numerical methods, as opposed to using low-order methods on very fine meshes. The need for high-order methods is most evident in Acoustics, when attempting to evolve weak signals for long distances and for long times, and in turbulence, when attempting to capture small structures on relatively coarse grids. Significant advances have been made in the last two decades on the construction of conservative schemes of high order of accuracy in both space and time. These advances were pioneered by the family of TVD (Total Variation Diminishing) methods, by now a well-established approach that produces relatively simple and practical secondorder schemes. To go beyond second-order, a high degree of sophistication is required. There are at present several approaches that, at least partially, fulfil some of the basic requirements. Examples include the ENO method and its variant the WENO method, discontinuous Galerkin Finite Element methods, spectral difference methods and the ADER approach. | |
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Internacional
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Si |
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Nombre congreso
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European Conference on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications (HONOM 2017). |
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Tipo de participación
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960 |
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Lugar del congreso
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Stuttgart (Alemania) |
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Revisores
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Si |
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ISBN o ISSN
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00000000 |
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DOI
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Fecha inicio congreso
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27/03/2017 |
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Fecha fin congreso
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31/03/2017 |
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Desde la página
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82 |
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Hasta la página
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83 |
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Título de las actas
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ECCOMAS Thematic Conference: European Conference on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications HONOM 2017 March 27 - March 31, 2017 University of Stuttgart, Germany CONFERENCE PROGRAMME |