209 citations · 549 across the 39 of their papers we have counts for
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Exponential Time Differencing for the Tracer Equations Appearing in Primitive Equation Ocean Models
Sara Calandrini, Konstantin Pieper, Max Gunzburger
The tracer equations are part of the primitive equations used in ocean modeling and describe the transport of tracers, such as temperature, salinity or chemicals, in the ocean. Dep…
Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs
Giacomo Capodaglio, Max Gunzburger
The probability density function (PDF) associated with a given set of samples is approximated by a piecewise-linear polynomial constructed with respect to a binning of the sample s…
Exponential time differencing for mimetic multilayer ocean models
Konstantin Pieper, K. Chad Sockwell, Max Gunzburger
A framework for exponential time discretization of the multilayer rotating shallow water equations is developed in combination with a mimetic discretization in space. The method is…
Affine approximation of parametrized kernels and model order reduction for nonlocal and fractional Laplace models
Olena Burkovska, Max Gunzburger
We consider parametrized problems driven by spatially nonlocal integral operators with parameter-dependent kernels. In particular, kernels with varying nonlocal interaction radius…