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1 |
Creative Commons |
PDEs (5.8) |
In this concluding lecture, Professor Nick Trefethen discusses the question Who invented the great numerical algorithms? |
Nick Trefethen |
17 Oct 2016 |
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2 |
Creative Commons |
PDEs (5.7) |
In this lecture, Professor Trefethen discusses Chebyshev spectral discretization. |
Nick Trefethen |
17 Oct 2016 |
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3 |
Creative Commons |
PDEs (5.6) |
In this lecture, Professor Trefethen discusses Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants |
Nick Trefethen |
17 Oct 2016 |
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4 |
Creative Commons |
PDEs (5.5) |
In this lecture, Professor Trefethen discusses Fourier spectral discretization and Fourier spectral discretization via FFT. |
Nick Trefethen |
17 Oct 2016 |
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5 |
Creative Commons |
PDEs (5.4) |
In this lecture, Professor Trefethen discusses finite differencing in general grids and multiple space dimensions. |
Nick Trefethen |
17 Oct 2016 |
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6 |
Creative Commons |
PDEs (5.3) |
In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs. |
Nick Trefethen |
17 Oct 2016 |
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7 |
Creative Commons |
PDEs (5.2) |
In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences. |
Nick Trefethen |
17 Oct 2016 |
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8 |
Creative Commons |
PDEs (5.1) |
In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences. |
Nick Trefethen |
17 Oct 2016 |
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9 |
Creative Commons |
ODEs and Nonlinear Dynamics (4.4) |
In this lecture, Professor Trefethen discusses stability regions, stiffness, and looks at BVPs in Chebfun. |
Nick Trefethen |
17 Oct 2016 |
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10 |
Creative Commons |
ODEs and Nonlinear Dynamics (4.3) |
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. |
Nick Trefethen |
17 Oct 2016 |
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11 |
Creative Commons |
ODEs and Nonlinear Dynamics (4.2) |
In this lecture, Professor Trefethen discusses order of accuracy, convergence and stability, and adaptive ODE codes. |
Nick Trefethen |
17 Oct 2016 |
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12 |
Creative Commons |
ODEs and Nonlinear Dynamics (4.1) |
In this lecture, Professor Trefethen discusses ODEs and IVPs, Runge-Kutta and multistep formulas, IVP codes in MATLAB and Simulink, and in the end reviews IVP solutions in Chebfun. |
Nick Trefethen |
17 Oct 2016 |
