Tailoring High Order Time Discretizations for Use with Spatial Discretizations of Hyperbolic PDEs

Abstract

The major accomplishment of the current research was to overcome the time-stepping constraints and the order barriers on explicit and implicit strong stability preserving methods. This was attained through the study of multi-step multistage methods, multi-derivative methods, methods of variable linear and nonlinear orders, and methods which include downwinding. The results of this work include four families of new SSP methods which break order barriers and time-step bounds of previously known methods.

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Document Details

Document Type
Technical Report
Publication Date
May 19, 2015
Accession Number
ADA627006

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  • Sigal Gottlieb

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  • University of Massachusetts Dartmouth

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