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nonlinear dynamics

# Episode Title Description People Date
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
2 Creative Commons PDEs (5.7) In this lecture, Professor Trefethen discusses Chebyshev spectral discretization. Nick Trefethen 17 Oct 2016
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
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
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
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
7 Creative Commons PDEs (5.2) In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences. Nick Trefethen 17 Oct 2016
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
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
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
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
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