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Harvard AM205 video 5.10 - Conjugate gradient method
00:28:44
Harvard AM205 video 5.9 - Krylov methods: Arnoldi iteration and Lanczos interation
00:27:45
Harvard AM205 video 5.6 - QR algorithm
00:24:00
Harvard AM205 video 5.5 - Rayleigh quotient
00:14:33
Harvard AM205 video 5.4 - Power iteration and inverse iteration
00:23:49
Harvard AM205 video 5.3 - Gershgorin circle theorem & eigenvalue sensitivity
00:27:28
Harvard AM205 video 5.2 - Eigenvalue definitions
00:18:54
Harvard AM205 video 5.1 - Introduction to eigenvalue problems
00:29:06
Harvard AM205 video 4.12 - PDE-constrained optimization
00:08:38
Harvard AM205 video 4.11 - Penalty methods and linear programming
00:21:25
Harvard AM205 video 4.10 - Sequential quadratic programming
00:09:53
Harvard AM205 video 4.9 - Quasi-Newton methods
00:24:54
Harvard AM205 video 4.8 - Steepest descent and Newton methods for optimization
00:27:03
Harvard AM205 video 4.7 - Equality-constrained optimization
00:17:52
Harvard AM205 video 4.6 - Optimality conditions and the Hessian
00:11:33
Harvard AM205 video 4.5 - Conditions for a global minimum
00:15:48
Harvard AM205 video 4.3 - Newton and secant methods
00:11:05
Harvard AM205 video 4.4 - Multivariate root-finding methods
00:26:35
Harvard AM205 video 4.2 - Root finding: fixed-point iteration
00:13:29
Harvard AM205 video 4.1 - Introduction to nonlinear equations and optimization
00:22:26
Harvard AM205 video 3.22 - Elliptic PDEs: the Poisson equation
00:15:16
Harvard AM205 video 3.21 - Parabolic PDEs: the heat equation
00:34:37
Harvard AM205 video 3.20 - Method of lines & wave equation
00:13:50
Harvard AM205 video 3.19 - Accuracy and stability for finite-difference schemes
00:40:43
Harvard AM205 video 3.18 - CFL condition & upwinding
00:10:15
Harvard AM205 video 3.17 - Advection equation & characteristics
00:10:39
Harvard AM205 video 3.16 - Partial differential equations
00:06:13
Harvard AM205 video 3.15 - ODE boundary value problems
00:20:01
Harvard AM205 video 3.12 - ODE error estimation
00:21:50
Harvard AM205 video 3.14 - Multistep methods
00:17:47