Cover image of Scientific Computing for DPhil Students

Scientific Computing for DPhil Students

Nick Trefethen FRS, Professor of Numerical Analysis at Oxford University, teaches a course for DPhil (PhD) students across all the science departments at the university. The course is distinctive for... Read more

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PDEs (5.8)

PDEs (5.8)

In this concluding lecture, Professor Nick Trefethen discusses the question Who invented the great numerical algorithms?

17 Oct 2016

53mins

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PDEs (5.7)

PDEs (5.7)

In this lecture, Professor Trefethen discusses Chebyshev spectral discretization.

17 Oct 2016

50mins

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PDEs (5.6)

PDEs (5.6)

In this lecture, Professor Trefethen discusses Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants

17 Oct 2016

50mins

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PDEs (5.5)

PDEs (5.5)

In this lecture, Professor Trefethen discusses Fourier spectral discretization and Fourier spectral discretization via F... Read more

17 Oct 2016

50mins

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PDEs (5.4)

PDEs (5.4)

In this lecture, Professor Trefethen discusses finite differencing in general grids and multiple space dimensions.

17 Oct 2016

51mins

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PDEs (5.3)

PDEs (5.3)

In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs.

17 Oct 2016

52mins

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PDEs (5.2)

PDEs (5.2)

In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences.

17 Oct 2016

49mins

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PDEs (5.1)

PDEs (5.1)

In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences.

17 Oct 2016

51mins

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ODEs and Nonlinear Dynamics (4.4)

ODEs and Nonlinear Dynamics (4.4)

In this lecture, Professor Trefethen discusses stability regions, stiffness, and looks at BVPs in Chebfun.

17 Oct 2016

50mins

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ODEs and Nonlinear Dynamics (4.3)

ODEs and Nonlinear Dynamics (4.3)

In this lecture, Professor Trefethen discusses planetary motions, chaos and Lyapunov exponents, the Lorenz equations, an... Read more

17 Oct 2016

50mins

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