Numerical differential equations
Verlet integration (French pronunciation: [vɛʁˈlɛ]) is a numerical method used to integrate Newton's equations of motion. It is frequently used to calculate trajectories of particles in molecular dynamics simulations and computer graphics. The algorithm was first used in 1791 by Jean Baptiste Delambre and has been rediscovered many times since then, most recently by Loup Verlet in the 1960s for use in molecular dynamics. It was also used by P. H. Cowell and A. C. C. Crommelin in 1909 to compute the orbit of Halley's Comet, and by Carl Størmer in 1907 to study the trajectories of electrical particles in a magnetic field (hence it is also called Störmer's method).The Verlet integrator provides good numerical stability, as well as other properties that are important in physical systems such as time reversibility and preservation of the symplectic form on phase space, at no significant additional computational cost over the simple Euler method. (Wikipedia).
Integration 4 The Definite Integral Part 3 Example 3
Working through another example using the definite integral.
From playlist Integration
Integration 4 The Definite Integral Part 3 Example 1
An example using the definite integral.
From playlist Integration
Integration 1 Riemann Sums Part 1 - YouTube sharing.mov
Introduction to Riemann Sums
From playlist Integration
5.13: What is Toxiclibs Verlet Physics? - The Nature of Code
Read along: http://natureofcode.com/book/chapter-5-physics-libraries/#chapter05_section15[The Nature of Code: Chapter 5] * http://toxiclibs.org * https://vimeo.com/1472427 * http://www.gamasutra.com/resource_guide/20030121/jacobson_pfv.htm Help us caption & translate this video! http://
From playlist The Nature of Code: Simulating Natural Systems
Coding Math: Episode 38 - Verlet Integration Part III
This time we look at a bunch of cool rendering techniques.
From playlist Episodes
5.14: Toxiclibs Verlet Physics Basics: Particles and Springs - The Nature of Code
Read along: http://natureofcode.com/book/chapter-5-physics-libraries/#chapter05_section16[The Nature of Code: Chapter 5] https://github.com/shiffman/The-Nature-of-Code-Examples/tree/master/Processing/chp5_physicslibraries/toxiclibs/NOC_5_10_SimpleSpring Help us caption & translate this v
From playlist The Nature of Code: Simulating Natural Systems
Integration 4 The Definite Integral Part 3 Example 4
Working through another example using the definite integral.
From playlist Integration
Here's a video describing a simple method to solve Newton's equations of motion. More info can be found here: https://www.algorithm-archive.org/chapters/physics_solvers/verlet/verlet.html If you want to contribute, here's the github repo: https://github.com/algorithm-archivists/algorithm
From playlist Algorithm Archive
Integration 6 The Fundamental Theorem of Calculus
Explanation of the fundamental theorem of calculus in an easy to understand way.
From playlist Integration
Coding Math: Episode 36 - Verlet Integration Part I
Starting a new series on one of my favorite subjects, Verlet Integration. I think you'll like this one. There's a minor code error here. It won't break anything, but see if you can spot it. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmat
From playlist Episodes
Integration 4 The Definite Integral Part 2
Working through an example of the definite integral
From playlist Integration
Coding Math: Episode 37 - Verlet Integration Part II
We continue our Verlet Integration series, creating sticks that separate the points and allow us to start building forms. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath
From playlist Episodes
Coding Math: Episode 39 - Verlet Integration Part IV
We wrap up the Verlet Integration series with some cool new features. Here's the article that got me started on the subject many years ago: http://www.gamasutra.com/resource_guide/20030121/jacobson_pfv.htm Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/
From playlist Episodes
Coding Challenge #20: 3D Cloth with toxiclibs
Boing! Using some particles and some springs with the Toxiclibs physics library, I create a 3D cloth simulation in Processing. Toxiclibs can now be downloaded from Processing's library manager. Code: https://thecodingtrain.com/challenges/20-3d-cloth-simulation 🕹️ p5.js Web Editor Sketch:
From playlist 5: Physics Libraries - The Nature of Code
Giving Personality to Procedural Animations using Math
It's been a while since the last video hasn't it? I've made quite a bit of progress since the last update, and since one of the things I worked on was some procedurally animated characters, I decided to make a video about the subject. In particular, this video highlights the entire process
From playlist Summer of Math Exposition 2 videos
Ex: Integration by Parts Involving a Trig and Linear Function (x*cos(4x))
This video provides an example of integration by parts. The integrand is a product of a linear function and a trigonometric function. Site: http://mathispower4u.com
From playlist Integration by Parts
Integration 9 The Area Between Two Curves Part 1
Learn how to evaluate the area between two curves.
From playlist Integration
Integration 4 The Definite Integral Part 3 Example 2
Working through another example of the definite integral.
From playlist Integration
Live Stream #187: Fractal #TeamTrees with Physics
To learn more about Brilliant, go to https://brilliant.org/CodingTrain and sign up for free. The first 200 people that go to that link will get 20% off the annual Premium subscription. Go to http://teamtrees.org and plant trees! #TeamTrees #teamtrees #20MillionTrees 💻 https://thecodingtr
From playlist Live Stream Archive