Shape Optimization for the Mitigation of Coastal Erosion via Shallow Water Equations ResearchInsightsCommentarysiam.org FeedsApplied GeometryGeosciences and Math of Planet EarthOptimization Numerical simulations model the propagation of waves to the shore and identify optimal wave-breaking obstacles.
Predicting Climate Change with Linear Response Theory ResearchInsightsCommentarysiam.org FeedsComputational Science & Numerical AnalysisGeosciences and Math of Planet EarthLinear Algebra Statistical mechanics can support the provision of flexible and accurate climate change projections.
A Modified Watermarking Scheme based on the Singular Value Decomposition ResearchInsightsCommentarysiam.org FeedsImaging Science The nature of digital information storage allows for the employment of mathematical methods in ownership protection.
Graph Curvature Analysis of Cancer Networks ResearchInsightsCommentaryBlogsiam.org FeedsLife SciencesOptimization The field of mathematical oncology is rapidly becoming an incubator of novel methodologies in the battle against cancer.
Coupling Vascular and Inflammatory Dynamics ResearchInsightsCommentarysiam.org FeedsComputational Science & Numerical AnalysisDynamical Systems, Nonlinear WavesLife Sciences Mathematical modeling can help clinicians better understand cardiovascular responses to inflammatory events.
Modeling Fracture Dissolution in Acid Fracturing Treatments with Acid Viscous Fingering ResearchInsightsCommentarysiam.org FeedsComputational Science & Numerical AnalysisMathematical Aspects of Materials Science An acid fracturing model considers fluid flow, acid and polymer transport, and change of fracture geometry.
Maintaining Biodiversity in an Increasingly Variable World ResearchInsightsCommentarySIAM Newssiam.org FeedsDynamical Systems, Nonlinear WavesGeosciences and Math of Planet EarthLife Sciences Recent developments in stochastic models allow researchers to study the impacts of environmental variability.
Phase Transitions in the Heart and the Genesis of Cardiac Arrhythmia ResearchInsightsCommentarySIAM Newssiam.org FeedsDynamical Systems, Nonlinear WavesLife SciencesMathematical Aspects of Materials Science Ongoing research investigates how a molecular-scale defect can prompt a breakdown of electrical activity for the whole heart.
Machine Learning and Dynamical Systems ResearchInsightsCommentarySIAM Newssiam.org FeedsComputational Science & Numerical AnalysisData ScienceDynamical Systems, Nonlinear Waves Innovations in machine learning have yielded new insights into the connection between data science and dynamical systems.
It’s Not the Heat, It’s the Rate ResearchInsightsCommentarySIAM Newssiam.org FeedsDynamical Systems, Nonlinear WavesGeosciences and Math of Planet Earth Dynamical system models that involve rate-induced tipping can reflect the impact of climate change's rapidity.
Ulam’s Ping-pong, Adiabatic Invariants, and Entropy ResearchInsightsCommentarySIAM Newssiam.org FeedsApplied GeometryClassical Applied Mathematics Mark Levi illustrates Einstein’s idea about adiabatic invariants with a particle bouncing between two walls.
Data-driven Modeling of Dynamic Systems Happening NowPrograms and PublicationsResearchInsightsCommentarySIAM Newssiam.org FeedsData ScienceDynamical Systems, Nonlinear Waves An excerpt from Dynamic Mode Decomposition explores the burgeoning field of data-driven dynamical systems.
Coordination of Connected and Automated Vehicles at Adjacent Intersections Can Improve Safety and Travel Time ResearchInsightsCommentarysiam.org FeedsControl and Systems TheoryOptimization Connected and automated vehicles can improve traffic throughput and passenger safety with computing and communication technologies.
Signal Processing and Mechanistic Models Can Help Diagnose Postural Orthostatic Tachycardia Syndrome ResearchInsightsCommentarysiam.org FeedsLife Sciences Researchers utilize modeling and nonstationary signal processing to investigate different phenotypes of POTS.
A Note on Neural Network Mini-Batches ResearchInsightsCommentaryBlogsiam.org FeedsComputational Science & Numerical Analysis Jonathan Barzilai explains why the neural-network mini-batch procedure is fundamentally problematic.