Partial Differential Equations Overview
Explore the mathematical language of physical phenomena with an overview of partial differential equations, covering canonical PDEs, linear superposition, and nonlinear PDEs like Burgers Equation.
Hankel Alternative View of Koopman - HAVOK Analysis
Decompose chaos into linear systems with intermittent forcing using HAVOK analysis. Learn to build linear regression models on eigen-time-delay coordinates for complex dynamical systems.
Eigenvalues, Eigenvectors, and Dynamical Systems
Explore eigenvalues, eigenvectors, and dynamical systems in engineering mathematics, focusing on their applications and significance in solving complex problems.
Modelling of Spatial Infection Spread Through Heterogeneous Population
Explore spatial infection spread modeling in heterogeneous populations, examining key factors and methodologies for understanding disease transmission dynamics.
On the Existence, or Lack, of Non-Commutative Factors of a Dynamical System
Explore non-commutative factors in dynamical systems with Tattwamasi Amrutam, delving into advanced mathematical concepts and their implications in operator algebra.
Nonlinear Interaction of Vortex Sheets in Multi-Interface
Explores nonlinear vortex sheet interactions in multi-interface fluid instabilities, focusing on Kelvin-Helmholtz, Rayleigh-Taylor, and Richtmyer-Meshkov phenomena. Presents advanced research in fluid dynamics and instability mechanisms.
How Much Math Do You Need to Know to Solve an Initial Value Problem - SIAM PDE Seminar
Explore mathematical techniques for solving nonlinear Schrödinger equations, from harmonic analysis to dynamical systems, focusing on long-time dynamics and energy transfer in initial value problems.
MathWorks Math Modeling Challenge 2021 - Nueva School Winning Presentation
Winning presentation by Nueva School on their solution for the MathWorks Math Modeling Challenge 2021, showcasing innovative approaches to technical computing and problem-solving.
MathWorks Math Modeling Challenge 2021 - Adlai E Stevenson High School Finalist Presentation
Finalist team from Adlai E Stevenson High School presents their solution to the MathWorks Math Modeling Challenge 2021, showcasing innovative problem-solving skills in applied mathematics.
MathWorks Math Modeling Challenge 2021 - Julia R Masterman Middle High School Finalist Presentation
High school team presents innovative mathematical modeling solutions for the MathWorks Math Modeling Challenge, showcasing problem-solving skills and analytical thinking in a competitive environment.
Reconstructions in Coupled Physics Imaging
Explore Coupled Physics Imaging with Otmar Scherzer, focusing on Photoacoustics and related mathematical inverse problems in this SIAM-IS virtual seminar on reconstructions in advanced imaging techniques.
E-Bike Future Prediction Model - M3 Challenge Finalist Presentation
High school team presents mathematical modeling solution predicting the future of E-Bikes in the U.S., showcasing innovative problem-solving skills and STEM application in a prestigious competition.
The Role of Mathematics in Solving the World's Main Challenges
Explore how mathematics and computation contribute to understanding climate, energy, the cosmos, and life itself through TED-style talks by renowned computational scientists.
An Obstacle Problem for Cell Polarization
Explore cell polarization modeling through diffusion equations and reaction-diffusion systems. Discover obstacle-type problems, steady-state stability, and polarization onset parameters in this mathematical biology seminar.
Bayesian Reimaging of Sparsity in Inverse Problems - IMAGINE Seminar Series
Explore Bayesian approaches to sparse inverse problems in imaging and dictionary learning, focusing on efficient computational frameworks and hierarchical prior models.
A Simple Microstructural Explanation of the Concavity of Price Impact
Explore a microstructural model explaining price impact concavity in financial markets, with insights on order flow, fundamental pricing, and meta-order execution dynamics.
Turning Cancer Discoveries into Effective Treatments with Mathematical Modeling
Explore how mathematical modeling aids in transforming cancer research into effective treatments, bridging the gap between scientific discoveries and clinical applications.
The Mathematics of Life - Making Diffusion Your Friend
Explore how diffusion processes in biology can be modeled mathematically, with insights from a leading expert in mathematical biology and biophysics.
Dynamics of Systems with Low Complexity
Explore low complexity dynamical systems, their patterns, and mathematical properties in this engaging lecture by renowned mathematician Bryna Kra at the Joint Mathematics Meetings.
Immunology for Mathematicians
Explore mathematical approaches to immunology, including modeling immune responses and viral dynamics, in this lecture by renowned researcher Alan S. Perelson from Los Alamos National Laboratory.
Numerical Modelling of Earthquake Ground Motion
Explore advanced discontinuous Galerkin methods for modeling seismic wave propagation in complex geological domains, addressing challenges in geometry representation and solution accuracy.