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Harvard AM205 video 4.3 - Newton and secant methods
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Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. In the previous video we introduced the fixed-point iteration for solving nonlinear equations. This video discusses the Newton method, which can be viewed as a particularly effective choice of fixed-point iteration. The secant method is also introduced and both methods are demonstrated via a computer example.
Harvard AM205 video 4.3 - Newton and secant methods
Harvard AM205 video 3.9 - ODE convergence
Harvard AM205 video 3.14 - Multistep methods
Harvard AM205 video 3.5 - Finite-difference approximations
Harvard AM205 video 3.10 - ODE stability
Harvard AM205 video 3.4 - Gauss quadrature
Harvard AM205 video 3.1 - Introduction to numerical calculus
Harvard AM205 video 4.4 - Multivariate root-finding methods
Harvard AM205 video 4.11 - Penalty methods and linear programming
Harvard AM205 video 4.5 - Conditions for a global minimum
Harvard AM205 video 3.19 - Accuracy and stability for finite-difference schemes
Harvard AM205 video 3.16 - Partial differential equations
Harvard AM205 video 5.9 - Krylov methods: Arnoldi iteration and Lanczos interation
Harvard AM205 video 3.2 - Numerical integration
Harvard AM205 video 3.6 - Differentiation matrices
Harvard AM205 video 3.15 - ODE boundary value problems
Harvard AM205 video 3.8 - One-step integration methods
Harvard AM205 video 3.7 - ODE initial value problems
Harvard AM205 video 3.12 - ODE error estimation
Harvard AM205 video 2.6 - Timing algorithms
Harvard AM205 video 5.6 - QR algorithm
Harvard AM205 video 3.13 - Stiff ODE systems
Harvard AM205 video 2.5 - LU pivoting and Cholesky factorization
Harvard AM205 video 1.7 - Underdetermined least squares
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