5 papers
Tunable correlation retention: A statistical method for generating synthetic data
Nicklas Jävergård, Rainey Lyons, Adrian Muntean +1
We propose a method to generate statistically representative synthetic data from a given dataset. The main goal of our method is for the created data set to mimic the inter--featur…
Numerical Exploration of Nonlinear Dispersion Effects via a Strongly Coupled Two-scale System
Surendra Nepal, Vishnu Raveendran, Michael Eden +2
The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a s…
3D morphology formation in a mixture of three differently averse components
Emilio N. M. Cirillo, Nicklas Jävergård, Rainey Lyons +2
Film formation from solvent evaporation in polymer ternary solutions is relevant for several technological applications, such as the fabrication of organic solar cells. The perform…
Strongly Coupled Two-scale System with Nonlinear Dispersion: Weak Solvability and Numerical Simulation
Vishnu Raveendran, Surendra Nepal, Rainey Lyons +2
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupl…
Invariance properties of the solution operator for measure-valued semilinear transport equations
Sander C. Hille, Rainey Lyons, Adrian Muntean
We provide conditions under which we prove for measure-valued transport equations with non-linear reaction term in the space of finite signed Radon measures, that positivity is pre…