Hydrodynamic Instabilities and Laminar-turbulent Transition in Mechanical Heart Valves ResearchInsightsCommentarysiam.org FeedsLife Sciences Hadi Zolfaghari and Dominik Obrist apply the rich toolbox of hydrodynamic stability theory to a bileaflet mechanical heart valve.
Seasonal Marine Phytoplankton Blooms: Understanding the Phenomenon’s Dynamics ResearchInsightsCommentaryBlogsiam.org FeedsDynamical Systems, Nonlinear WavesGeosciences and Math of Planet EarthLife Sciences Understanding the timing of seasonal phytoplankton blooms is important for both marine ecology and atmospheric science.
Dandelion Seeds as Brilliant Parachutes ResearchInsightsCommentarySIAM Newssiam.org FeedsGeosciences and Math of Planet EarthLife Sciences Models of the airflow around a dandelion's pappus (which keeps seeds aloft) reveal that a dandelion seed is optimized for steady cruising.
How Zebrafish Get Their Stripes... or Spots ResearchInsightsCommentarySIAM Newssiam.org FeedsDynamical Systems, Nonlinear WavesLife Sciences Zebrafish skin patterning is a rich math problem because it involves cell interactions at short and long range.
In Silico Medicine Advances the Development of Sickle Cell Disease Therapies ResearchInsightsCommentarySIAM Newssiam.org FeedsLife Sciences Particle-based microscopic and mesoscopic models can simulate biological problems in sickle cell disease.
Model Uncertainty: Mathematical and Statistical ResearchInsightsCommentarySIAM Newssiam.org FeedsUncertainty Quantification It is important to account for uncertainties inherent in a model that predicts or clarifies a real-world phenomenon.
Preconditioning in the New Decade ResearchInsightsCommentarySIAM News Preconditioning comprises techniques that help accelerate the convergence of iterative linear solvers.
Wronskian = Angular Momentum; Abel’s Formula = Newton’s Second Law ResearchInsightsCommentarySIAM News Mark Levi explores the connection between Newton’s second law and Abel’s formula for the Wronskian.
New Mathematical Tool Aims to Aid Study of the Molecular Mechanics of Disease and the Development of New Medicines ResearchInsightsBlogsiam.org FeedsDynamical Systems, Nonlinear WavesLife Sciences Wesley Errington describes a mathematical framework that simulates the key parameters that control multivalency.
Harnessing the Power of Solar Panels with Nonlinear Optimal Control Techniques ResearchInsightsCommentarysiam.org FeedsOptimization Discussions about the maximization of solar energy accumulation have attracted much interest in the field of renewable energy.
Drones Can Determine the Shape of a Room by Listening ResearchResearch Nuggetssiam.org FeedsApplied Geometry Researchers attempt to reconstruct the shape of a room using first-order echoes received by four microphones attached to a drone.
Quantifying “Political Islands” with Persistent Homology Get InvolvedConferencesResearchInsightsCommentarySIAM Newssiam.org FeedsApplied GeometryDynamical Systems, Nonlinear Waves Tools from topological data analysis can help researchers examine the problem of large-scale identification of political islands.
Topological Data Analysis of Collective Motion Get InvolvedConferencesResearchInsightsCommentarySIAM Newssiam.org FeedsApplied GeometryDynamical Systems, Nonlinear Waves Topological data analysis describes rich classes of topological spaces that have multiple scales of resolution.
An Algebraic Geometry Perspective on Topological Data Analysis ResearchInsightsCommentarySIAM Newssiam.org FeedsApplied Geometry Paul Breiding surveys topological data analysis from the point of view of algebraic geometry.
p4est: A Parallel Software Toolbox for Efficient Mesh Refinement and Partitioning ResearchInsightsCommentarySIAM Newssiam.org FeedsComputational Science & Numerical Analysis Carsten Burstedde overviews the development of the p4est software library for adaptive mesh refinement.