Taller de Investigación sobre Mecánica Clásica - 23 de Enero
Explora los fundamentos y aplicaciones avanzadas de la mecánica clásica en este taller de investigación dirigido por el experto Santiago Chaves.
Taller de Investigación sobre Mecánica Clásica - 16 de Enero
Profundiza en los fundamentos y aplicaciones avanzadas de la mecánica clásica con el investigador Santiago Chaves en este taller de investigación intensivo.
Introdução à Mecânica Estatística - Aula 02
Explore sistemas hamiltonianos, teoremas fundamentais e conceitos avançados em mecânica estatística. Aprofunde-se em modelos como Ising e FK, transições de fase e teoria de Pirogov-Sinai.
Calculating Energy Required to Put Hubble Space Telescope into Orbit
Explore the physics behind launching the Hubble Space Telescope, calculating its orbital speed, period, and energy requirements for deployment.
LAGHOST: Development of Lagrangian High-Order Solver for Tectonics
Explore LAGHOST, a Lagrangian high-order solver for tectonic simulations. Learn about its features, benchmarks, and applications in modeling geological processes like normal fault evolution.
Quantitative Almost-Existence in Dimension Four
Delve into advanced symplectic geometry concepts, exploring Hofer-Zehnder's theorem and the existence of closed characteristics in four-dimensional space through rigorous mathematical analysis.
Introduction to KAM Theory - Lecture 1
Delve into the fundamentals of Kolmogorov-Arnold-Moser (KAM) theory, exploring quasi-periodic motions, celestial mechanics stability, and analytical solutions for circle diffeomorphisms and Hamiltonian systems.
Introduction to KAM Theory - Lecture 2
Delve into the fundamentals of KAM theory and its application in celestial mechanics, exploring quasi-periodic motions, small divisors, and analytical circle diffeomorphisms in dynamical systems.
Multiscale Inverse Problem, from Schroedinger to Newton to Boltzmann - IPAM at UCLA
Explore multiscale inverse problems across quantum, classical, and statistical physics, connecting Schroedinger, Newton, and Boltzmann equations to reveal universal mathematical principles in diverse scientific domains.
Convergence of Scattering Data and Non-Linear Fourier Transform - Part 1
Explore canonical systems, spectral problems, and Hilbert spaces of entire functions in this advanced mathematical analysis lecture on scattering data and non-linear Fourier transform.
Symplectic Geometry - Class 21
Explore advanced concepts in symplectic geometry with Professor Ben Webster, delving into complex mathematical theories and their applications in this comprehensive lecture.
Symplectic Geometry - Class 20
Explore advanced concepts in symplectic geometry with Professor Ben Webster, delving into complex mathematical theories and their applications in this comprehensive lecture.
Mathematics in Computer Animation - Pixar's Approach
Pixar engineer explores mathematical techniques behind computer-animated effects, including dynamic simulations for clothing, hair, and 3D interactive animation, showcasing real-world applications in film production.
Multiple Horn Problem in Hamiltonian Geometry
Explore the intricacies of the Multiple Horn problem in this mathematical lecture by Anton Alekseev, delving into advanced concepts in Hamiltonian geometry.
Some Reflections on the Moduli Spaces of Flat Connections with Involutions
Explore moduli spaces of flat connections with involutions, examining their geometric properties and mathematical implications in this advanced mathematical lecture.
Designing Conservative and Accurately Dissipative Numerical Integrators in Time
Explore innovative framework for structure-preserving time steppers using finite elements and auxiliary variables. Discover applications in Kepler, Kovalevskaya, Navier-Stokes, and Benjamin-Bona-Mahony problems.
Computational Mathematics: Dynamics, Geometry, and Algebra in Numerical Integration
Explore computational mathematics at the intersection of dynamics, geometry, and algebra, focusing on geometric numerical integration and structure-preserving discretization of differential equations.
From Newton's Law to Many-Particle Systems - Rothschild Lecture
Explore Newton's laws of motion and gravitation through examples, examining differential equations, many-particle systems, and their large-scale behavior from numerical and analytical perspectives.
Insights and Challenges in Symplectic Capacities
Explore key insights and challenges in symplectic capacities, delving into advanced mathematical concepts and their applications in geometric analysis.
Canonical Hamiltonian Systems in Symplectic Statistical Manifolds
Explore canonical Hamiltonian systems within symplectic statistical manifolds, delving into advanced mathematical concepts and their applications.
Vector Fields - Calculating the Line Integral Work Around Closed Paths
Explore vector fields and calculate line integral work around closed paths using analytical and numerical methods with Python.