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PDEs (5.7)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses Chebyshev spectral discretization.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

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PDEs (5.6)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

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PDEs (5.5)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses Fourier spectral discretization and Fourier spectral discretization via FFT.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

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PDEs (5.4)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses finite differencing in general grids and multiple space dimensions.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

Subscribe

Download

PDEs (5.3)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

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Download

PDEs (5.2)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

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PDEs (5.1)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

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ODEs and Nonlinear Dynamics (4.4)

Series
Scientific Computing for DPhil Students
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In this lecture, Professor Trefethen discusses stability regions, stiffness, and looks at BVPs in Chebfun.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

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ODEs and Nonlinear Dynamics (4.3)

Series
Scientific Computing for DPhil Students
Embed
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.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

Subscribe

Download

ODEs and Nonlinear Dynamics (4.2)

Series
Scientific Computing for DPhil Students
Embed
In this lecture, Professor Trefethen discusses order of accuracy, convergence and stability, and adaptive ODE codes.
Creative Commons Licence
Creative Commons Attribution-Non-Commercial-Share Alike 2.0 UK (BY-NC-SA): England & Wales; https://creativecommons.org/licenses/by-nc-sa/2.0/uk/

Episode Information

Series
Scientific Computing for DPhil Students
People
Nick Trefethen
Keywords
scientific computing
numerical analysis
linear algebra
optimization
nonlinear dynamics
Department: Mathematical Institute
Date Added: 17/10/2016
Duration:

Subscribe

Download

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