Broyden's Method for solving systems of nonlinear equations. Lesson covers motivation, history, examples, discussion, and order of this Quasi-Newton Method. It also explains the "Good" and "Bad", as well as the third version of the method. Example code hosted on GitHub https://github.com/o
From playlist Solving Systems of Nonlinear 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
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
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
Approximating the Jacobian: Finite Difference Method for Systems of Nonlinear Equations
Generalized Finite Difference Method for Simultaneous Nonlinear Systems by approximating the Jacobian using the limit of partial derivatives with the forward finite difference. Example code on GitHub https://www.github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:13 Prerequisites 0:3
From playlist Solving Systems of Nonlinear 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
Halley's Method for Systems of Nonlinear Equations
Halley's Method for Solving Systems of Nonlinear Equations. Submission for The Summer of Math Exposition. Lesson includes motivation & explanation of notation, description of the method, numerical example, discussion of order, and comparison with the Method of Tangent Hyperbolas. Example c
From playlist Solving Systems of Nonlinear Equations
Generalized False Position & Alternative Secant Methods
False Position Method for Nonlinear Systems (aka Generalized Regula Falsi) along with two Alternative Secant Methods. Includes discussion of history and primary sources along with numeric examples and visualizations. Example code hosted on GitHub https://github.com/osveliz/numerical-veliz
From playlist Solving Systems of Nonlinear Equations
Secant Method for Systems of Nonlinear Equations
Generalized Secant Method for Simultaneous Nonlinear Systems originally credited to Wolfe and Bittner. Lesson shows how to solve nonlinear systems without the Jacobian, nor the need to approximate it, in a straightforward and visual manner. Example code on GitHub https://www.github.com/osv
From playlist Solving Systems of Nonlinear Equations
Neural Networks Demystified [Part 6: Training]
After all that work it's finally time to train our Neural Network. We'll use the BFGS numerical optimization algorithm and have a look at the results. Supporting Code: https://github.com/stephencwelch/Neural-Networks-Demystified Yann Lecun's Efficient BackProp Paper: http://yann.lecun
From playlist Neural Networks Demystified
C45 Example problem solving a Cauchy Euler equation
Solving problems is the ONLY way get to learn these techniques. Another Cauchy-Euler equation solved.
From playlist Differential Equations
Nonlinear Finite Element Solvers
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Oliver Rubenkonig Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices,
From playlist Wolfram Technology Conference 2018
Gaussian Integral 8 Original Way
Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I present the classical way using polar coordinates, the one that Laplace original
From playlist Gaussian Integral
Gaussian Integral 4 Feynman way
Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I use a technique similar to Feynman's technique by differentiating a more complic
From playlist Gaussian Integral
Labeling a System by Solving Using Elimination Method
👉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
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
C34 Expanding this method to higher order linear differential equations
I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.
From playlist Differential Equations
Gaussian Integral 7 Wallis Way
Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a technique that is very similar to the
From playlist Gaussian Integral
Harvard AM205 video 4.9 - Quasi-Newton methods
Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. The previous video in this series discussed using the Newton method to find local minima of a function; while this method can be highly efficient, it requires the exact Hessian of the functio
From playlist Optimizers in Machine Learning