Resilient Data-driven Dynamical Systems with Koopman: An Infinite-dimensional Numerical Analysis Perspective ResearchInsightsCommentarySIAM Newssiam.org FeedsComputational Science & Numerical AnalysisDiscrete Mathematics and Theoretical Computer ScienceDynamical Systems, Nonlinear Waves Koopman operator theory, which addresses nonlinearity, provides a powerful alternative to the geometric view of dynamical systems.
Nitrogen, Litter, and Biodiversity in the North American Grasslands ResearchInsightsCommentarysiam.org FeedsGeosciences and Math of Planet EarthLife Sciences A mathematical approach connects the recovery of biodiversity to the concepts of bistability and hysteresis.
Accurate Mathematical Modeling of Wind Turbines Improves Their Implementation ResearchInsightsCommentarysiam.org FeedsControl and Systems TheoryGeosciences and Math of Planet Earth Well-posed, time-domain mathematical modeling of wind turbine power systems is crucial for understanding their dynamics.
Using Mathematics to Help Eliminate Malaria ResearchInsightsCommentarysiam.org FeedsGeosciences and Math of Planet EarthLife Sciences Statistical models can reliably predict genetic resistance to an antimalarial drug across space and time in Africa.
A Mathematical Approach to Circadian Medicine ResearchInsightsCommentarysiam.org FeedsData ScienceDynamical Systems, Nonlinear WavesLife Sciences Mathematical analysis can infer circadian clock phase based on indirect measurements from wearable devices.