ODEs and Nonlinear Dynamics (4.4)

Flere episoder fra "Scientific Computing for DPhil Students"

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  PDEs (5.8)

  17.10.2016

  53:32

  In this concluding lecture, Professor Nick Trefethen discusses the question Who invented the great numerical algorithms?
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  PDEs (5.7)

  17.10.2016

  50:50

  In this lecture, Professor Trefethen discusses Chebyshev spectral discretization.
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  PDEs (5.6)

  17.10.2016

  50:50

  In this lecture, Professor Trefethen discusses Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants
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  PDEs (5.5)

  17.10.2016

  50:02

  In this lecture, Professor Trefethen discusses Fourier spectral discretization and Fourier spectral discretization via FFT.
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  PDEs (5.4)

  17.10.2016

  51:10

  In this lecture, Professor Trefethen discusses finite differencing in general grids and multiple space dimensions.
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  PDEs (5.3)

  17.10.2016

  52:08

  In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs.
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  PDEs (5.2)

  17.10.2016

  49:19

  In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences.
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  PDEs (5.1)

  17.10.2016

  51:18

  In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences.
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  ODEs and Nonlinear Dynamics (4.4)

  17.10.2016

  50:50

  In this lecture, Professor Trefethen discusses stability regions, stiffness, and looks at BVPs in Chebfun.
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  ODEs and Nonlinear Dynamics (4.3)

  17.10.2016

  50:45

  In this lecture, Professor Trefethen discusses planetary motions, chaos and Lyapunov exponents, the Lorenz equations, and lastly Sinai billiards and the SIAM 100-digit challenge.