Runge–Kutta methods | Numerical differential equations
In mathematics and computational science, Heun's method may refer to the improved or modified Euler's method (that is, the explicit trapezoidal rule), or a similar two-stage Runge–Kutta method. It is named after Karl Heun and is a numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. Both variants can be seen as extensions of the Euler method into two-stage second-order Runge–Kutta methods. The procedure for calculating the numerical solution to the initial value problem: by way of Heun's method, is to first calculate the intermediate value and then the final approximation at the next integration point. where is the step size and . (Wikipedia).
Lesson 22: Deep Learning Foundations to Stable Diffusion
Oops I say it's "Lesson 21" at the start of the video -- but actually this is lesson 22! (All lesson resources are available at http://course.fast.ai.) Jeremy begins this lesson with a discussion of improvements to the DDPM/DDIM implementation. He explores the removal of the concept of an
From playlist Practical Deep Learning 2022 Part 2
Euler’s method - How to use it?
► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,
From playlist Differential Equations
Computational Physics Lecture 22, Numerical Integration of ODEs
In this lecture, we introduce the basic methods for solving ordinary differential equations. We discuss the Euler's method, Heun's method, and the midpoint method. This video was created to accompany the course "Computational Physics (PHYS 270)" taught in the spring of 2017 at Nazarbayev
From playlist Nazarbayev: PHYS 270 - Computational Physics with Ernazar Ab
Holger Dullin: The Lagrange top and the confluent Heun equation
Abstract: The Lagrange Top (heavy symmetric rigid body with a fixed point) with an additional quadratic potential is described in global coordinates using a 7-dimensional Poisson structure. The set of critical values of the energy-momentum map has a rational parametrisation that is derived
From playlist Integrable Systems 9th Workshop
ch9 5. Runge-Kutta Methods. Euler step and Heun step. Wen Shen
Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Mathematical Functions and Properties
The Wolfram Language has over 250 mathematical functions, including well-known elementary and special functions that have played a crucial role in the development of science for decades. Although this set is almost complete, we are continuously implementing new functionality for mathematic
From playlist Wolfram Technology Conference 2020
New in Fractional Differentiation
In the scientific literature, one sees a lot of approaches to fractional order integro-differentiation. In this talk, we present numerous essential details of the most natural Riemann–Liouville–Hadamard construction for fractional differentiation, which has been published in the Wolfram Fu
From playlist Wolfram Technology Conference 2021
Diagonals of Rational Functions Diagonals of rational functions naturally occur in many applications, study several families of rational functions in three or four variables and investigate the nature of their diagonals (hypergeometric 2F1 functions, Heun functions, modular forms, functi
From playlist DART X
Euler's method for estimating solution to non-separable first-order differential equations.
From playlist Advanced Calculus / Multivariable Calculus
Euler's method for solving non-separable differential equation by approximation.
From playlist Advanced Calculus / Multivariable Calculus
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Most differential equations cannot be solved by the analytical techniques that we have learned up until now. I these cases, we can approximate a solution by a set of points, by using a variety of numerical methods. The first of these is Euler's method.
From playlist A Second Course in Differential Equations
Labeling a System by Solving Using Elimination Method
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From playlist Solve a System of Equations Using Elimination | Medium
Using an improved form of Euler's method to solve a differential equation.
From playlist A Second Course in Differential Equations
Substitution Method, Systems of Linear Equations
Shows how to solve systems of linear equations use substitution. Includes a brief description of the method and three worked examples. You can link to all my videos at my website: https://www.stepbystepscience.com
From playlist Algebra; Linear Equations
B03 An improvement of the Euler method
Introducing predictor-corrector methods, improving on Euler's method of numerical analysis.
From playlist A Second Course in Differential Equations
C46 Solving the previous problem by another method
There are more ways than one to solve Cauchy-Euler equations. In this video I revert to the substitution method.
From playlist Differential Equations
RubyConf 2021 - Control methods like a pro: A guide to Ruby's awesomeness, ... by Masafumi Okura
Control methods like a pro: A guide to Ruby's awesomeness, a.k.a. metaprogramming by Masafumi Okura Do you know that methods are objects in Ruby? We can manipulate method objects just like other object, meaning that we can store them in variables, get information from them and wrap them i
From playlist RubyConf 2021
RubyConf 2015 - Messenger: The (Complete) Story of Method Lookup by Jay McGavren
Messenger: The (Complete) Story of Method Lookup by Jay McGavren You call a method on an object, and it invokes the instance method defined on the class. Simple. Except when the method isn't on the class itself, because it's inherited from a superclass. Or a singleton class, mixin, or ref
From playlist RubyConf 2015
Using a multiplier with one equation to use the add method to solve the system of equation
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Medium
RubyConf 2015 - Ruby 2 Methodology by Akira Matsuda
Ruby 2 Methodology by Akira Matsuda This talk focuses on "Method" in Ruby. Although Method is the key feature of an OOP language like Ruby, Ruby's Method is still drastically evolving. This session is a quick tour on new features and changes around Method in recent versions of the Ruby l
From playlist RubyConf 2015