169 citations · 837 across the 31 of their papers we have counts for
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Magnus Exponential Integrators for Stiff Time-Varying Stochastic Systems
Dev Jasuja, P. J. Atzberger
We introduce exponential numerical integration methods for stiff stochastic dynamical systems of the form …
Meshfree Methods on Manifolds for Hydrodynamic Flows on Curved Surfaces: A Generalized Moving Least-Squares (GMLS) Approach
B. J. Gross, N. Trask, P. Kuberry +1
We utilize generalized moving least squares (GMLS) to develop meshfree techniques for discretizing hydrodynamic flow problems on manifolds. We use exterior calculus to formulate in…
Stochastic Discontinuous Galerkin Methods (SDGM) Based on Fluctuation-Dissipation Balance
Will Pazner, Nathaniel Trask, Paul J. Atzberger
We introduce a general framework for approximating parabolic Stochastic Partial Differential Equations (SPDEs) based on fluctuation-dissipation balance. Using this approach we form…
Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds
Ben J. Gross, Paul J. Atzberger
We develop exterior calculus approaches for partial differential equations on radial manifolds. We introduce numerical methods that approximate with spectral accuracy the exterior…
A First-Passage Kinetic Monte Carlo Method for Reaction-Drift-Diffusion Processes
Ava J. Mauro, Jon Karl Sigurdsson, Justin Shrake +2
Stochastic reaction-diffusion models are now a popular tool for studying physical systems in which both the explicit diffusion of molecules and noise in the chemical reaction proce…