Spectral discontinuities in constrained dynamical models

Adding Constrained Discontinuities to Gaussian Process Models of Wind Fields

Gaussian Processes provide good prior models for spatial data, but can be too smooth. In many physical situations there are discontinuities along bounding surfaces, for example fronts in near-surface wind fields. We describe a modelling method for such a constrained discontinuity and demonstrate how to infer the model parameters in wind fields with MCMC sampling.

Reducing audible spectral discontinuities

In this paper, a common problem in diphone synthesis is discussed, viz., the occurrence of audible discontinuities at diphone boundaries. Informal observations show that spectral mismatch is most likely the cause of this phenomenon. We first set out to find an objective spectral measure for discontinuity. To this end, several spectral distance measures are related to the results of a listening ...

Spectral Methods in the Presence of Discontinuities

Joanna Piotrowska, 2, ∗ Jonah M. Miller, † and Erik Schnetter 4, 5, ‡ Institute of Astronomy, University of Cambridge, Cambridge, UK Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada Los Alamos National Laboratory, Los Alamos, NM, USA Department of Physics, University of Guelph, Guelph, ON, Canada Center for Computation & Technology, Louisiana State University, Baton Rouge, LA, ...

Parallel Spectral Element Dynamical Core for Atmospheric General Circulation Models

Analyzing Discontinuities in Physical System Models

Physical systems are by nature continuous. Perceived discontinuities in system models are in reality nonlinear behaviors that are linearized to reduce computational complexity and prevent stiffness in system analysis and behavior generation. Discontinuities arise primarily from component parameter simplification and time-scale abstraction. Discontinuities in models are handled by introducing id...