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Harvard AM205 video 3.17 - Advection equation & characteristics
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Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. This video introduces the linear advection equation, and example hyperbolic partial differential equation (PDEs). The video then introduces characteristics of a hyperbolic PDE, which can aid in solving the PDE and tracking the flow of information. Subsequent videos will show that characteristics are important for developing numerical schemes for hyperbolic PDEs.
Harvard AM205 video 3.17 - Advection equation & characteristics
Harvard AM205 video 3.18 - CFL condition & upwinding
Harvard AM205 video 4.3 - Newton and secant methods
Harvard AM205 video 2.6 - Timing algorithms
Harvard AM205 video 3.15 - ODE boundary value problems
Harvard AM205 video 3.20 - Method of lines & wave equation
Harvard AM205 video 3.12 - ODE error estimation
Harvard AM205 video 4.9 - Quasi-Newton methods
Harvard AM205 video 1.2 - Interpolating discrete data
Harvard AM205 video 3.14 - Multistep methods
Harvard AM205 video 1.3 - Function approximation
Harvard AM205 video 4.7 - Equality-constrained optimization
Harvard AM205 video 2.4 - LU factorization
Harvard AM205 video 2.5 - LU pivoting and Cholesky factorization
Harvard AM205 video 4.11 - Penalty methods and linear programming
Harvard AM205 video 3.4 - Gauss quadrature
Harvard AM205 video 4.5 - Conditions for a global minimum
Harvard AM205 video 1.7 - Underdetermined least squares
Harvard AM205 video 2.8 - Gram–Schmidt orthogonalization
Harvard AM205 video 2.2 - Norms
Harvard AM205 video 5.10 - Conjugate gradient method
Harvard AM205 video 1.5 - Piecewise polynomial interpolation
Harvard AM205 video 3.19 - Accuracy and stability for finite-difference schemes
Harvard AM205 video 4.4 - Multivariate root-finding methods
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