Research Summaries

Back Efficient High-Order Time-Integrators for Local High-Order Discretization Methods

Fiscal Year 2012
Division Graduate School of Engineering & Applied Science
Department Applied Mathematics
Investigator(s) Giraldo, Francis X.
Sponsor Air Force Office of Scientific Research (Air Force)
Summary To develop a hierarchy of high-order time-integrators that are highly stable and efficient. The premise of this proposal is that so far, too much time is spent on the construction of high-order spatial discretization methods in order to represent spatial derivatives, etc. However, very little time is spent on the construction of efficient high-order time-integration methods. Thus, if one chooses high order in space but low order in time, then the resulting method is low order. Here, we intended to remedy this situation by constructing numerical methods for various partial differential equations but concentrating mostly on systems of nonlinear hyperbolic equations (Euler and compressible Navier-Stokes), that are high-order in both space and time, and that run efficiently on serial and parallel computers.
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Data Publications, theses (not shown) and data repositories will be added to the portal record when information is available in FAIRS and brought back to the portal