21:50Harvard AM205 video 3.12 - ODE error estimation
A 22-minute video from Chris Rycroft: “Harvard AM205 video 3.12 - ODE error estimation”.
Chris Rycroft
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21:50
17:47Harvard AM205 video 3.14 - Multistep methods
Advanced
A 18-minute video from Chris Rycroft: “Harvard AM205 video 3.14 - Multistep methods”.
20:01Harvard AM205 video 3.15 - ODE boundary value problems
A 20-minute video from Chris Rycroft: “Harvard AM205 video 3.15 - ODE boundary value problems”.
6:13Harvard AM205 video 3.16 - Partial differential equations
Advanced
A 6-minute video from Chris Rycroft: “Harvard AM205 video 3.16 - Partial differential equations”.
10:39Harvard AM205 video 3.17 - Advection equation & characteristics
A 11-minute video from Chris Rycroft: “Harvard AM205 video 3.17 - Advection equation & characteristics”.
10:15Harvard AM205 video 3.18 - CFL condition & upwinding
Advanced
A 10-minute video from Chris Rycroft: “Harvard AM205 video 3.18 - CFL condition & upwinding”.
40:43Harvard AM205 video 3.19 - Accuracy and stability for finite-difference schemes
A 41-minute video from Chris Rycroft: “Harvard AM205 video 3.19 - Accuracy and stability for finite-difference schemes”.
13:50Harvard AM205 video 3.20 - Method of lines & wave equation
A 14-minute video from Chris Rycroft: “Harvard AM205 video 3.20 - Method of lines & wave equation”.
34:37Harvard AM205 video 3.21 - Parabolic PDEs: the heat equation
A 35-minute video from Chris Rycroft: “Harvard AM205 video 3.21 - Parabolic PDEs: the heat equation”.
15:16Harvard AM205 video 3.22 - Elliptic PDEs: the Poisson equation
A 15-minute video from Chris Rycroft: “Harvard AM205 video 3.22 - Elliptic PDEs: the Poisson equation”.
22:26Harvard AM205 video 4.1 - Introduction to nonlinear equations and optimization
A 22-minute video from Chris Rycroft: “Harvard AM205 video 4.1 - Introduction to nonlinear equations and optimization”.
9:53Harvard AM205 video 4.10 - Sequential quadratic programming
A 10-minute video from Chris Rycroft: “Harvard AM205 video 4.10 - Sequential quadratic programming”.
21:25Harvard AM205 video 4.11 - Penalty methods and linear programming
A 21-minute video from Chris Rycroft: “Harvard AM205 video 4.11 - Penalty methods and linear programming”.
8:38Harvard AM205 video 4.12 - PDE-constrained optimization
A 9-minute video from Chris Rycroft: “Harvard AM205 video 4.12 - PDE-constrained optimization”.
13:29Harvard AM205 video 4.2 - Root finding: fixed-point iteration
A 13-minute video from Chris Rycroft: “Harvard AM205 video 4.2 - Root finding: fixed-point iteration”.
11:05Harvard AM205 video 4.3 - Newton and secant methods
Advanced
A 11-minute video from Chris Rycroft: “Harvard AM205 video 4.3 - Newton and secant methods”.
26:35Harvard AM205 video 4.4 - Multivariate root-finding methods
A 27-minute video from Chris Rycroft: “Harvard AM205 video 4.4 - Multivariate root-finding methods”.
15:48Harvard AM205 video 4.5 - Conditions for a global minimum
A 16-minute video from Chris Rycroft: “Harvard AM205 video 4.5 - Conditions for a global minimum”.
11:33Harvard AM205 video 4.6 - Optimality conditions and the Hessian
Advanced
A 12-minute video from Chris Rycroft: “Harvard AM205 video 4.6 - Optimality conditions and the Hessian”.
17:52Harvard AM205 video 4.7 - Equality-constrained optimization
A 18-minute video from Chris Rycroft: “Harvard AM205 video 4.7 - Equality-constrained optimization”.
27:03Harvard AM205 video 4.8 - Steepest descent and Newton methods for optimization
A 27-minute video from Chris Rycroft: “Harvard AM205 video 4.8 - Steepest descent and Newton methods for optimization”.
24:54Harvard AM205 video 4.9 - Quasi-Newton methods
A 25-minute video from Chris Rycroft: “Harvard AM205 video 4.9 - Quasi-Newton methods”.
29:06Harvard AM205 video 5.1 - Introduction to eigenvalue problems
A 29-minute video from Chris Rycroft: “Harvard AM205 video 5.1 - Introduction to eigenvalue problems”.
28:44Harvard AM205 video 5.10 - Conjugate gradient method
Advanced
A 29-minute video from Chris Rycroft: “Harvard AM205 video 5.10 - Conjugate gradient method”.
18:54Harvard AM205 video 5.2 - Eigenvalue definitions
A 19-minute video from Chris Rycroft: “Harvard AM205 video 5.2 - Eigenvalue definitions”.
27:28Harvard AM205 video 5.3 - Gershgorin circle theorem & eigenvalue sensitivity
A 27-minute video from Chris Rycroft: “Harvard AM205 video 5.3 - Gershgorin circle theorem & eigenvalue sensitivity”.
23:49Harvard AM205 video 5.4 - Power iteration and inverse iteration
Advanced
A 24-minute video from Chris Rycroft: “Harvard AM205 video 5.4 - Power iteration and inverse iteration”.
14:33Harvard AM205 video 5.5 - Rayleigh quotient
A 15-minute video from Chris Rycroft: “Harvard AM205 video 5.5 - Rayleigh quotient”.
24:00Harvard AM205 video 5.6 - QR algorithm
A 24-minute video from Chris Rycroft: “Harvard AM205 video 5.6 - QR algorithm”.
27:45Harvard AM205 video 5.9 - Krylov methods: Arnoldi iteration and Lanczos interation
A 28-minute video from Chris Rycroft: “Harvard AM205 video 5.9 - Krylov methods: Arnoldi iteration and Lanczos interation”.