The authors of articles in The Princeton Companion to Applied Mathematics are very active in giving talks about their work and about the subject in general.

I have collected a set of links to videos (or, in some cases, audio captures with slides) of authors speaking on or around the topics of their Companion articles. These should give readers added insight into the topics and their authors.

At the time of posting all links were valid, but links have a habit of changing or disappearing. Please let me know of any new links that can be added to this list or existing ones that need changing.

- David Acheson: Inverted Pendulum
- Doug Arnold: Mathematics that Swings: the Math Behind Golf
- David Bailey: Experimental Mathematics in the Normality of Pi
- June Barrow-Green: George Birkhoff and the Development of Dynamical Systems Theory
- Peter Benner: Matrix Equations and Model Reduction
- Andrew Bernoff: An Introduction to Surface Tension (Or Why Raindrops are Spherical)
- Jon Borwein: Experimental Mathematics in Action: Insight through Computation
- David Broomhead: Reaction and Diffusion on Fractal Sets
- John Burns: Building Design and Control
- Peter Clarkson: Vortices and Polynomials
- Paul Constantine: Active Subspaces in Theory and Practice
- Annie Cuyt: Continued Fractions for Special Functions: Handbook and Software
- Tim Davis: Sparse Matrix Algorithms, Direct Methods for Sparse Linear Systems, Computer Science, Art, and Mathematics: a Personal Journey (including visualizing graphs)
- Jack Dongarra: Adaptive Linear Solvers and Eigensolvers, Algorithmic and Software Challenges For Numerical Libraries at Exascale
- Yonina Eldar: Defying Nyquist in Analog to Digital Conversion
- Hans-Georg Feichtinger: Interview at CIRM
- Irene Fonseca: Variational Methods for Crystal Surface Instability
- David Gleich: Models and Algorithms for PageRank Sensitivity, Spacey Random Walks on Higher-order Markov Chains
- Ken Golden: Science of Ice
- David Griffiths: What’s So Funny About Quantum Mechanics and (alternative version)
- Peter Grindrod: Data Science at Work
- Des Higham: Models and Algorithms for Dynamic Networks
- Nick Higham: Functions of Matrices, The Matrix Logarithm: from Theory to Computation, How and How Not to Compute the Exponential of a Matrix, Computing a Nearest Correlation Matrix with Factor Structure
- Philip Holmes: Does Math Matter to Brain Matter?
- Julian Hunt: Ice, Snow, Water and the End the World as We Know It
- Richard James: Materials from Mathematics
- Chris Johnson: Visualizing Large Data Sets (TEDxSaltLakeCity), The Golden Age of Supercomputing
- Chandrika Kamath: Scientific Data Mining at the Petascale
- David Keyes: Algorithmic Adaptations to Extreme Scale, PASC15 Platform for Advanced Scientific Computing.
- Barbara Lee Keyfitz: The Role of Characteristics in Conservation Laws: A Legacy of Sonia Kovalevsky
- Anita Layton: Mathematics in Biological Systems
- Randy LeVeque: Finite-Volume Methods and Software for Hyperbolic PDEs and Conservation Laws
- Rachel Levy: Mathematical Modeling in the Early Grades
- Andrew Lo: Can Financial Engineering Cure Cancer?, Adaptive Markets hypothesis
- Christian Lubich: On the MCTDH Method
- Malcolm MacCallum: Bounds on Physics and Cosmology
- Youssef Marzouk: Quantifying Uncertainty in Complex Physical Systems: Application to Energy Conversion and Environmental Modeling
- Heather Mendick: Mathematical Popular Cultures
- Esteban Moro: The Future of Big Data (in Spanish)
- H. K. Moffatt: George Keith Batchelor (1920-2000)
- Amy Novick-Cohen: Coarsening & the Deep Quench Obstacle Problem
- Alfio Quarteroni: Matematica: sport, medicina, e tanto altro… (in Italian), America’s Cup (in Italian)
- Donald Saari Voting: How Can it Go Wrong?
- Emily Shuckburgh: Applying Mathematics to Better Understand the Ocean (see also this May 2013 SIAM News article)
- Reinhard Siegmund-Schultze: One Hundred Years After the Great War (114-2014): A Century of Breakdowns, Resumptions and Fundamental Changes in International Mathematical Communication
- Valeria Simoncini: Model-Assisted Effective Large Scale Matrix Computations
- Ian Stewart: How Mathematicians Think About Patterns, A History of Symmetry, The Joy of Mathematics—A conversation with Ian Stewart
- Victoria Stodden: Toward Reliable and Reproducible Inference in Big Data, An Overview of Reproducible Research, Uncertainty Quantification and Verification & Validation
- Gil Strang: Lectures on Linear Algebra
- Agnes Sulem: Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps (in French)
- Endre Süli: Numerical Solution of Partial Differential Equations
- David Tong: Wonders of the Big Bang
- Warwick Tucker: Validated Numerics—a Short Introduction to Rigorous Computations, The Lorenz Attractor Exists
- Peter Turner: Modeling across the Curriculum II: A SIAM-NSF Workshop, SIAM’s (Applied & Computational) Mathematics Education Initiatives
- Cédric Villani: TEDxObserver, TEDxOrangeCoast, TED2016
- Jane Wang: Computations of Insect Flight
- Karen Willcox: Data-Driven Model Reduction to Support Decision Making in Complex Systems, Multifidelity Modeling for Identification, Prediction and Optimization of Large-scale Complex Systems
- Steve Wright: Optimization, Optimization Algorithms in Machine Learning

## Updates

June 9, 2016: Added new Villani TED talk.