Search for tag: "numerical"

Jesús María Sanz-Serna (University Carlos III of Madrid) Numerical integrators for the Hamiltonian Monte Carlo method

This recording is in the process of being subtitled. We aim to have edited captions available within 2 weeks of publishing.15 November Jesús María Sanz-Serna (University Carlos III…

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24 May 2021 - Endre Süli (University of Oxford) - Discrete De Giorgi--Nash--Moser theory and the finite element approximation of chemically reacting fluids

24 May 2021 Endre Süli (University of Oxford) - Discrete De Giorgi--Nash--Moser theory and the finite element approximation of chemically reacting fluids The talk is concerned with the…

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3 May - Victorita Dolean (University of Strathclyde, Glasgow) - Robust solvers for time-harmonic wave propagation problems

The subtitles/captions on this talk are being edited. They will be available within 2 weeks of the talk being published. 3 May 2021 Victorita Dolean (University of Strathclyde, Glasgow) - Robust…

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19 April 2021: Andreas Veeser (Università degli Studi di Milano) - Accurate error bounds and equivalence of seminorms

The subtitles/captions on this talk are being edited. They will be available within 2 weeks of the talk being published. 19 April 2021Andreas Veeser (Università degli Studi di Milano) -…

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8 March 2021 - Carola-Bibiane Schönlieb (University of Cambridge) - Structure-preserving deep learning

8 March 2021 Carola-Bibiane Schönlieb (University of Cambridge) - Structure-preserving deep learning Abstract: Over the past few years, deep learning has risen to the foreground as a topic of…

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Partial Differential Equations Lecture 10 - Results

In the last part of this lecture we look at the results we obtain to the test problem and look forward to solving real fluid dynamics problems using commercial solvers in CFD5.

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Partial Differential Equations Lecture 10 - The Solver

We now introduce a family of test problems and look at the Matlab code needed to solver the shallow water equations.

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Partial Differential Equations Lecture 10 - Boundary Conditions

In the 2nd part of the lecture we look at boundary conditions for systems of hyperbolic equations.

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Partial Differential Equations Lecture 10 - Shallow Water Equations

In this lecture we extend our solver to apply to a system of equations in one spatial dimension. In this case we are solving the St Vennant, or Shallow Water Equations.

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Partial Differential Equations Lecture 9 - Results

Here we look in detail at the results from the test problem and discuss dispersive and dissipative errors.

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Partial Differential Equations Lecture 9 - MacCormack method in 2D

This part of the lecture develops a 2D solver using the method of Fractional Steps and the MacCormack scheme and applies it to a test problem

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Partial Differential Equations, Lecture 7a: Numerical solution of hyperbolic PDEs.

A lecture introducing numerical methods for hyperbolic PDEs

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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

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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…

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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.

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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.

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