Browsing Applied Mathematics by Author "Giuliani, Andrew"
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On the optimal CFL number of SSP methods for hyperbolic problems
Giuliani, Andrew; Krivodonova, Lilia (Elsevier, 2019-01-01)We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of lines-type discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. ... -
A parallel, adaptive discontinuous Galerkin method for hyperbolic problems on unstructured meshes
Giuliani, Andrew (University of Waterloo, 2018-09-04)This thesis is concerned with the parallel, adaptive solution of hyperbolic conservation laws on unstructured meshes. First, we present novel algorithms for cell-based adaptive mesh refinement (AMR) on unstructured ...