Preprints
Filtering by Subject: Ordinary Differential Equations and Applied Dynamics
Smoothing Earth’s surface: the complexity of soil texture class transitions
Published: 2026-01-27
Subjects: Applied Statistics, Dynamic Systems, Dynamical Systems, Environmental Sciences, Non-linear Dynamics, Numerical Analysis and Computation, Numerical Analysis and Scientific Computing, Ordinary Differential Equations and Applied Dynamics, Soil Science, Statistical Models, Statistical, Nonlinear, and Soft Matter Physics
Soil depth functions are essential for analysing, modeling, understanding and visualising soil profiles. While robust methods existed for continuous properties, soil texture is typically reported as discrete classes, and no established approach exists to interpolate soil categorical information with depth. Here, we introduced phySplines, a physics-informed, analytically solvable spline for [...]
HYRISK: An R package for hybrid uncertainty analysis using probability, imprecise probability and possibility distributions
Published: 2018-08-31
Subjects: Applied Mathematics, Engineering, Ordinary Differential Equations and Applied Dynamics, Other Applied Mathematics, Physical Sciences and Mathematics, Risk Analysis
Uncertainty analysis is an unavoidable risk assessment task (for instance for natural hazards, or for environmental issues). In situations where data are scarce, incomplete or imprecise, the systematic and only use of probabilities can be debatable. Over the last years, several alternative mathematical representation methods have been developed to handle in a more flexible manner the lack of [...]