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Showing 1 to 4 of 4 for “"high order numerical methods"”.
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High-order numerical methods for layer potential evaluation
… the practical realization of integral equation methods for boundary value problems of elliptic partial differential equations. Layer potentials play a central role in the integral equation formulation of boundary value problems. However, the numerical evaluation of layer potentials presents …
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High order numerical methods applied to the analysis of transport phenomena in combustion
High order numerical methods present the desirable property of having much less error than second order methods for the same number of nodes, or degrees of freedom. This makes them very attractive for applications like computational acoustics and aeroacoustics, prediction of transition or direct …
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Efficient Spectral-Element Methods For Acoustic Scattering And Related Problems
… dissertation focuses on the development of high-order numerical methods for acoustic and electromagnetic scattering problems, and nonlinear fluid-structure interaction problems.</p> <p>For the scattering problems, two cases are considered: 1) the scattering from a doubly layered periodic …
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Computing and analyzing gravitational radiation in black hole simulations using a new multi-block approach to numerical relativity
Numerical simulations of Kerr black holes are presented and the excitation of quasinormal modes is studied in detail. Issues concerning the extraction of gravitational waves from numerical space-times and analyzing them in a systematic way are discussed. A new multi-block infrastructure for solving …