In theoretical physics, the eikonal approximation (Greek εἰκών for likeness, icon or image) is an approximative method useful in wave scattering equations which occur in optics, seismology, quantum mechanics, quantum electrodynamics, and partial wave expansion. (Wikipedia).
The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.
From playlist A Second Course in Differential Equations
A11 Eigenvalues with complex numbers
Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
On large time behavior of growth by birth and spread – Yoshikazu Giga – ICM2018
Partial Differential Equations Invited Lecture 10.7 On large time behavior of growth by birth and spread Yoshikazu Giga Abstract: This is essentially a survey paper on a large time behavior of solutions of some simple birth and spread models to describe growth of crystal surfaces. The mo
From playlist Partial Differential Equations
Eigenvalues | Eigenvalues and Eigenvectors
In this video, we work through some example computations of eigenvalues of 2x2 matrices. Including a case where the eigenvalues are complex numbers. We do not discuss any intuition or definition of eigenvalues or eigenvectors, we simply carry out some elementary computations. If you liked
From playlist Linear Algebra
Paola Goatin: "A multi-population traffic flow model on networks accounting for vehicle automation"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop III: Large Scale Autonomy: Connectivity and Mobility Networks "A multi-population traffic flow model on networks accounting for vehicle automation" Paola Goatin - INRIA Sophia Antipolis-Méditerranée Abstract:
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
2 to a matrix. I calculate two to the power of a matrix using tools from linear algebra, more precisely diagonalization and eigenvalues and eigenvectors. This is related to matrix exponentials and logarithms, which are used to solve systems of differential equations and decouple particles.
From playlist Eigenvalues
Eugenia Saorin-Gomez - Inner parallel bodies & the Isoperimetric Quotient
Recorded 10 February 2022. Eugenia Saorin-Gomez of the Universität Bremen presents "Inner parallel bodies & the Isoperimetric Quotient" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: The so-called Minkowski difference of convex bodies (compact and convex s
From playlist Workshop: Calculus of Variations in Probability and Geometry
Changing notation with complex eigenvalues.
From playlist A Second Course in Differential Equations
With the eigenvalues for the system known, we move on the the eigenvectors that form part of the set of solutions.
From playlist A Second Course in Differential Equations
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (19 of 35) Eigenvectors=? Approx. Method: 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will find eigenvector(s)=? using the approximation method where A is a 2x2 matrix. Next video in this series can be seen at: https://youtu.be/FsCrDdS5dm0
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (20 of 35) Eigenvectors=? Approx. Method: 2
Visit http://ilectureonline.com for more math and science lectures! In this video I will find eigenvector(s)=? using the approximation method where A is a 2x2 matrix. Next video in this series can be seen at: https://youtu.be/36Xc1idW_sw
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
SIREN: Implicit Neural Representations with Periodic Activation Functions (Paper Explained)
Implicit neural representations are created when a neural network is used to represent a signal as a function. SIRENs are a particular type of INR that can be applied to a variety of signals, such as images, sound, or 3D shapes. This is an interesting departure from regular machine learnin
From playlist Papers Explained
10A An Introduction to Eigenvalues and Eigenvectors
A short description of eigenvalues and eigenvectors.
From playlist Linear Algebra
Worldwide Calculus: Linear Approximation, Differentials, and Newton's Method
Lecture on 'Linear Approximation, Differentials, and Newton's Method' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
Polynomial approximations -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Numerically approximating first order equations -- differential equations 7
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From playlist Differential Equations
Anthony Nouy: Approximation and learning with tree tensor networks - Lecture 2
Recorded during the meeting "Data Assimilation and Model Reduction in High Dimensional Problems" the July 21, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone A kinetic description of a plasma in external and self-consistent fiel
From playlist Numerical Analysis and Scientific Computing
Epsilon delta definition of limit explained on an example
Epsilon delta definition of limit made easy
From playlist Summer of Math Exposition Youtube Videos
Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (22 of 35) Given Eigenvalue, Find Eigenvector=?
Visit http://ilectureonline.com for more math and science lectures! In this video I will find eigenvector=? when given eignevalue lambda2=-1 where A is a 2x2 matrix. Next video in this series can be seen at: https://youtu.be/dN02OkJekZU
From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS
Anthony Nouy: "Approximation and learning with tree tensor networks"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop I: Tensor Methods and their Applications in the Physical and Data Sciences "Approximation and learning with tree tensor networks" Anthony Nouy - Université de Nantes Abstract: Tree tensor networks (T
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021