Search for tag: "differential"

IMA, LMS Joint Meeting: Topological methods in Data Science (1-2 October 2020)

An automated programme is used to generate the subtitles on this talk. You can remove the subtitles by pressing CC on the bottom toolbar. Gueorgui Mihaylov (GSK & King's College London) - A…

From  Liam Holligan on October 9th, 2020 0 likes 7 plays 0  

LAGOON: Leicester Algebra and Geometry Open ONline - Andrey Lazarey

An automated programme is used to generate the subtitles on this talk. You can remove the subtitles by pressing CC on the bottom toolbar. 8 October Andrey Lazarev (Lancaster, UK) Koszul duality for…

From  Liam Holligan on October 9th, 2020 0 likes 17 plays 0  

B Williams LMS Autumn Algebra School

Brian Williams: Infinite-dimensional Lie algebras and their multivariable generalizations

From  OLLIE Quinn on September 24th, 2020 0 likes 9 plays 0  

Infinite-dimensional Lie algebras and their multivariable generalizations - Brian Williams

LMS Autumn Algebra school Infinite-dimensional Lie algebras and their multivariable generalizations Brian Williams 21 Sept 2020 An automated programme is used to generate the subtitles on this talk.…

From  GILLIAN KERR on September 21st, 2020 0 likes 23 plays 0  

Fourier Algebras for Orthogonal Matrix Polynomials - W Riley Casper

OPSFOTA seminar series Fourier Algebras for Orthogonal Matrix Polynomials W Riley Casper (California State University, Fullerton, USA) 27 August 2020 An automated programme is used to generate the…

From  GILLIAN KERR on August 31st, 2020 0 likes 13 plays 0  

Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method Part II - Peter Miller

OPSFOTA online seminar series Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method Part II Peter Miller (University of Michigan, USA) 20 August 2020 An automated…

From  GILLIAN KERR on August 21st, 2020 0 likes 10 plays 0  

Lecture 6 Part 3: Driven, damped oscillators

Here we add a driving force to the oscillator and consider how the standard form of the equation is modified. We look at the amplification factor and see what happens under resonant conditions.

From  David Ingram on July 10th, 2020 0 likes 183 plays 0  

Lecture 6 Part 2: Damped oscillators

We extend the ideas from the first part of the lecture to oscillators which include damping effects. Writing the governing equation in a standard form and looking at the meaning of the damping…

From  David Ingram on July 10th, 2020 0 likes 184 plays 0  

Lecture 6 Part 1: Applications of Differential Equations - undamped oscillators

Here we look at how the the same (or a very similar) differential equation applies to several different engineering problems. We consider cantilevers, pendulums and a floating buoy.

From  David Ingram on July 10th, 2020 0 likes 222 plays 0  

Lecture 5 Part 3: Oscillators

Here we look at some more general oscillators and their phase portraits and consider how plotting vector plots can be useful for understanding autonomous systems.

From  David Ingram on July 10th, 2020 0 likes 239 plays 0  

Lecture 5 Part 2: Phase portraits

How do understand the behaviour of the oscillator, why is plotting velocity against displacement useful? What are stationary points and limit cycles?

From  David Ingram on July 10th, 2020 0 likes 265 plays 0  

Lecture 5 Part 1: Van der Pol Oscillator

A look at the behaviour of the van der pol oscillator and its solution using the Runge-Kutta integrator

From  David Ingram on July 10th, 2020 0 likes 288 plays 0  

Lecture 4 Part 4: Methods for real engineering problems

In the last part of the lecture we look at real numerical methods that can be used for real engineering problems. Looking briefly at Runge-Kutta methods and an application modelling methane-air…

From  David Ingram on July 6th, 2020 0 likes 4 plays 0  

Lecture 4 Part 3: State space models

In this part of the lecture we look at how state-space models can be used to solve higher order differential equations using the method for systems of equations.

From  David Ingram on July 6th, 2020 0 likes 3 plays 0  

Lecture 4 Part 2: Systems of equations

In this lecture we look at how the numerical methods can be extended to deal with systems of equations.

From  David Ingram on July 6th, 2020 0 likes 5 plays 0  

Lecture 4 Part 1: Introduction to Numerical Methods

When an analytical solution cannot be found, we can use a numerical method to find an approximate solution. In this lecture we look at Euler's method and explore how it can be used to solver…

From  David Ingram on July 6th, 2020 0 likes 8 plays 0