Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 4 of 4 for “"Spectral discretization"”.
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Flexible spectral algorithms for simulating astrophysical and geophysical flows
… and oceanic fluid flows. In the first part, the spectral algorithms used in Dedalus are introduced and the design and development of the code are described. In particular, the code's symbolic equation specification, arbitrary-dimensional parallelization, and sparse spectral discretization systems …
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Efficient numerical methods based on integral transforms to solve option pricing problems
… financial derivatives. Our approach is based on spectral discretization of the spatial (asset) derivatives and the use of inverse Laplace transforms to solve the resulting problem in time. The conventional spectral methods are further modified by using piecewise high order rational interpolants …
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A time-spectral hybridizable discontinuous Galerkin method for periodic flow problems
… in high-order methods and Fourier-based time discretizations present an opportunity to greatly improve computational performance. This thesis presents a novel Time-Spectral Hybridizable Discontinuous Galerkin (HDG) method for periodic flow problems, together with applications to flow through …
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Convection in Corrugated Slots
… the development of proper methodology, i.e. a spectrally accurate algorithm suitable for analysis of convection problems in corrugated slots. The second part is devoted to the study of natural convection in corrugated slots. The algorithm uses the immersed boundary conditions (IBC) concept to …