Maxwell's Equations and Electromagnetic Waves - Lecture 15
Explore electromagnetic waves, their energy, and connection to relativity. Understand Maxwell's equations' consistency with special relativity and how magnetism can be deduced from relativistic principles.
Simple Harmonic Motion and Introduction to Waves - Lecture 18
Explore harmonic motion and wave behavior through problem-solving and derivations. Learn about oscillations, driving forces, resonance, and different types of waves in this physics lecture.
Fundamentals of Physics - Waves and Wave Properties - Lecture 19
Explore wave properties, superposition, and interference in physics. Learn about frequency, energy, Doppler effect, and applications to musical instruments in this comprehensive lecture.
Partial Differential Equations
Explore partial differential equations through various methods, including characteristic, coordinate, and transform approaches. Learn to solve wave and heat equations using advanced techniques.
Partial Differential Equations
Explore advanced mathematical concepts including Laplace equations, convolution, polar coordinates, and more. Master techniques for solving complex differential equations and their applications.
Introduction to CFD
Explore computational fluid dynamics fundamentals, from numerical methods to advanced techniques like multigrid and parallel computing, with practical demonstrations and applications.
Solving the Wave Equation with Separation of Variables and Guitar String Physics
Explore wave equation solutions using separation of variables, with applications to guitar string physics. Gain insights into optics, acoustics, and fundamental physics concepts.
Deriving the Wave Equation
Comprehensive derivation of the Wave Equation, exploring its applications in physics and engineering, with examples from guitar strings to illustrate key concepts.
The Nonlinear Stability of the Schwarzschild Metric Without Symmetry - Mihalis Dafermos
Explore the nonlinear stability of the Schwarzschild metric in general relativity, covering key concepts, theorems, and challenges in mathematical physics and black hole dynamics.
35 Years of Critical Nonlinear Analysis
Explorez 35 ans d'analyse non linéaire critique avec Pierre Raphaël, de sa carrière précoce aux théorèmes révolutionnaires et modèles supercritiques en énergie.
Propagation of Sound and Lorentz Transformations: 3D Wave Equation Symmetries - Lecture 4
Explore 3D wave equations, sound propagation, and Lorentz transformations in electrodynamics and relativity theory. Gain insights into symmetries and general solutions.
Advances in Wave Imaging and Microlocal Analysis - SPACE Webinar Series
Explore wave imaging techniques, from traditional approaches to new methods, with a focus on microlocal analysis, Fourier integral operators, and neural network architectures for improved imaging.
Coherent Scattering and Memory Effect in Imaging Through Scattering Layers
Explore coherent scattering, memory effect, and Monte Carlo simulations in imaging through scattering media with Prof. Anat Levin's insightful presentation on advanced signal processing techniques.
1D Finite Element Method: Wave Equation Basis and Testing Functions - Lecture 1
Explore basis and testing functions for 1D Finite Element Method in solving the 1D Wave Equation, enhancing understanding of numerical methods in computational physics.
1D Finite Element Method - 1D Wave Equation: Boundary Conditions
Explore boundary conditions for 1D wave equation using finite element method. Gain insights into solving complex mathematical problems in engineering and physics.
1D Finite Element Method: Matrix Assembly for 1D Wave Equation
Explore matrix assembly techniques for the 1D Finite Element Method applied to the 1D Wave Equation, enhancing understanding of numerical solutions in computational physics.
The Spaces Up and Vp and Global Solutions to Dispersive Equations
Delve into advanced mathematical concepts of Up and Vp spaces and their applications in solving dispersive equations, featuring insights from Professor Herbert Koch of Universität Bonn.
Solving PDEs with the Laplace Transform - The Wave Equation
Explore solving the wave equation using Laplace transforms, covering problem setup, PDE to ODE conversion, and solution methods including the Heaviside function and method of characteristics.
Canonical Linear PDEs- Wave Equation, Heat Equation, and Laplace's Equation
Explore fundamental linear PDEs: wave, heat, and Laplace's equations. Gain insights into their properties, applications, and mathematical foundations in engineering and physics.
Inverse Problems and the Anisotropic Calderón Conjecture
Explore geometric inverse problems, focusing on the Calderon Problem and its anisotropic variant. Learn about harmonic functions, complex geometric optics, and wave equation properties in this advanced mathematics lecture.
Mathematics III
Explore advanced mathematical concepts including ODEs, improper integrals, series solutions, Bessel functions, Laplace transformations, and partial differential equations.