Steffensen's Method with Aitken's Δ²
Discussion of Steffensen's Method and Aitken's Delta-Squared Method with their relation to Fixed Point Iteration including examples, convergence acceleration, order, and code. GitHub: https://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:08 Aitken's Δ² Method History 0:23 Deriv
From playlist Root Finding
We introduce the idea of Euler's Method for solving differential equations, and solve a few steps of a simple example using the technique.
From playlist Mathematical Physics I Uploads
We introduce Euler's method for solving differential equations, and discuss what that looks like in "computer world" as code. (Code is based on SageMath language.)
From playlist Mathematical Physics I Uploads
Generalized Aitken-Steffensen Method
Generalized Aitken's delta-squared method and Generalized Steffensen's Method applying Fixed Point Iteration to Systems of Nonlinear Equations. Video goes step-by-step to derive Generalized Aitken-Steffensen and discusses induced and accelerated convergence behavior as well as quadratic or
From playlist Solving Systems of Nonlinear Equations
Physics - Thermodynamics: (22 of 22) Change Of State: Work Done By A Gas
Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to calculate the work done by a gas of isobaric, isothermic, and adiabatic process.
From playlist PHYSICS - THERMODYNAMICS
The precise definition of the limit EXPLAINED! (KristaKingMath)
► My Limits & Continuity course: https://www.kristakingmath.com/limits-and-continuity-course The precise definition of the limit, also called the epsilon-delta definition, is the proof of the concept of the limit. It proves the limit because it shows how, as you move closer and closer to
From playlist Calculus I
Bairstow's Method for finding the roots of polynomials including complex roots. Discussion of method derivation, relation to synthetic division of two variables, stopping condition, selection of initial values, fractals, and historical context. Submission for Summer of Math Exposition 2 co
From playlist Root Finding
Physics - Thermodynamics: States: (17 of 22) Change Of State: Adiabatic Process
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the change of state of adiabatic process.
From playlist PHYSICS - THERMODYNAMICS
Wegstein Method for finding roots, accelerating fixed point iteration, and inducing convergence in fixed point iteration. Explained examples and discussion of order as well as how to compute q. Example code: https://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:22 Wegstein's Me
From playlist Root Finding
Approximate a Solution to a DE Using Euler's Method
This video explains how to approximate the solution to a linear first order differential equation using Euler's method. http://mathispower4u.com
From playlist Approximate a Solution to a Differential Equation Using Euler's Method
The Massive Chunk of Metal Hiding in the Moon
The moon's South Pole-Aitken basin is the largest known crater in existence, and there's something big hidden underneath. Hosted By: Reid Reimers SciShow is on TikTok! Check us out at https://www.tiktok.com/@scishow ---------- Support SciShow Space by becoming a patron on Patreon: https
From playlist SciShow Space
Calculus - Find the limit of a function using epsilon and delta
This video shows how to use epsilon and delta to prove that the limit of a function is a certain value. This particular video uses a linear function to highlight the process and make it easier to understand. Later videos take care of more complicated functions and using epsilon and delta
From playlist Calculus
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
Successive Parabolic Interpolation - Jarratt's Method
Optimization method for finding extrema of functions using three points to create a parabola that is then used to find the next approximation to the solution. This lesson visualizes the behavior of the method with numeric examples as well as its convergence through fractals. Based off the
From playlist Numerical Methods
Fixed Point Iteration method for finding roots of functions. Frequently Asked Questions: Where did 1.618 come from? If you keep iterating the example will eventually converge on 1.61803398875... which is (1+sqrt(5))/2. Why not use x = x^2 -1? Generally you try to reduce the degree of the
From playlist Root Finding
Newton's Method for Systems of Nonlinear Equations
Generalized Newton's method for systems of nonlinear equations. Lesson goes over numerically solving multivariable nonlinear equations step-by-step with visual examples and explanation of the Jacobian, the backslash operator, and the inverse Jacobian. Example code in MATLAB / GNU Octave on
From playlist Newton's Method
Fixed Point Iteration System of Equations with Banach
Fixed Point Iteration Method to solve Systems of Nonlinear Equations with discussion of Banach Fixed Point Theorem, finding the Jacobian, convergence, and order. Example code on GitHub: http://github.com/osveliz/numerical-veliz Chapters: 00:00 Intro 00:25 Systems of Equations 00:33 Solvin
From playlist Solving Systems of Nonlinear Equations
Introduction to the Dirac Delta Function
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to the Dirac Delta Function
From playlist Differential Equations
Steffensen's Method for Systems of Nonlinear Equations
Generalized Steffensen's Method for Simultaneous Nonlinear Systems originally credited to J. F. Traub. Video shows how to solve nonlinear systems by approximating the Jacobian. Example code on GitHub https://www.github.com/osveliz/numerical-veliz Chapters 0:00 Prerequisites 0:20 Intro 0:
From playlist Solving Systems of Nonlinear Equations