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- Sandia National LaboratoriesUS256 papers
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4 papers · 2 filters
A Low-rank solver for the Navier--Stokes equations with uncertain viscosity
Kookjin Lee, Howard C. Elman, Bedřich Sousedík
We study an iterative low-rank approximation method for the solution of the steady-state stochastic Navier--Stokes equations with uncertain viscosity. The method is based on linear…
Underlying one-step methods and nonautonomous stability of general linear methods
Andrew J. Steyer, Erik S. Van Vleck
We generalize the theory of underlying one-step methods to strictly stable general linear methods (GLMs) solving nonautonomous ordinary differential equations (ODEs) that satisfy a…
Implicit and Implicit-Explicit Strong Stability Preserving Runge-Kutta Methods with High Linear Order
Sidafa Conde, Sigal Gottlieb, Zachary J. Grant +1
When evolving in time the solution of a hyperbolic partial differential equation, it is often desirable to use high order strong stability preserving (SSP) time discretizations. Th…
Error modeling for surrogates of dynamical systems using machine learning
Sumeet Trehan, Kevin Carlberg, Louis J. Durlofsky
A machine-learning-based framework for modeling the error introduced by surrogate models of parameterized dynamical systems is proposed. The framework entails the use of high-dimen…