2,004 research outputs found
Numerical integration of ordinary differential equations of various orders
Report describes techniques for the numerical integration of differential equations of various orders. Modified multistep predictor-corrector methods for general initial-value problems are discussed and new methods are introduced
Host at Your Own Risk: Monitoring the Legality of Airbnb Rentals at the Platform Level
Article published in the Michigan State University School of Law Student Scholarship Collection
Equation-free Dynamic Renormalization of a KPZ-type Equation
In the context of equation-free computation, we devise and implement a
procedure for using short-time direct simulations of a KPZ type equation to
calculate the self-similar solution for its ensemble averaged correlation
function. The method involves "lifting" from candidate pair-correlation
functions to consistent realization ensembles, short bursts of KPZ-type
evolution, and appropriate rescaling of the resulting averaged pair correlation
functions. Both the self-similar shapes and their similarity exponents are
obtained at a computational cost significantly reduced to that required to
reach saturation in such systems
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