28:44

Harvard AM205 video 5.10 - Conjugate gradient method

27:45

Harvard AM205 video 5.9 - Krylov methods: Arnoldi iteration and Lanczos interation

24:00

Harvard AM205 video 5.6 - QR algorithm

14:33

Harvard AM205 video 5.5 - Rayleigh quotient

23:49

Harvard AM205 video 5.4 - Power iteration and inverse iteration

27:28

Harvard AM205 video 5.3 - Gershgorin circle theorem & eigenvalue sensitivity

18:54

Harvard AM205 video 5.2 - Eigenvalue definitions

29:06

Harvard AM205 video 5.1 - Introduction to eigenvalue problems

08:38

Harvard AM205 video 4.12 - PDE-constrained optimization

21:25

Harvard AM205 video 4.11 - Penalty methods and linear programming

09:53

Harvard AM205 video 4.10 - Sequential quadratic programming

24:54

Harvard AM205 video 4.9 - Quasi-Newton methods

27:03

Harvard AM205 video 4.8 - Steepest descent and Newton methods for optimization

17:52

Harvard AM205 video 4.7 - Equality-constrained optimization

11:33

Harvard AM205 video 4.6 - Optimality conditions and the Hessian

15:48

Harvard AM205 video 4.5 - Conditions for a global minimum

11:05

Harvard AM205 video 4.3 - Newton and secant methods

26:35

Harvard AM205 video 4.4 - Multivariate root-finding methods

13:29

Harvard AM205 video 4.2 - Root finding: fixed-point iteration

22:26

Harvard AM205 video 4.1 - Introduction to nonlinear equations and optimization

15:16

Harvard AM205 video 3.22 - Elliptic PDEs: the Poisson equation

34:37

Harvard AM205 video 3.21 - Parabolic PDEs: the heat equation

13:50

Harvard AM205 video 3.20 - Method of lines & wave equation

40:43

Harvard AM205 video 3.19 - Accuracy and stability for finite-difference schemes

10:15

Harvard AM205 video 3.18 - CFL condition & upwinding

10:39

Harvard AM205 video 3.17 - Advection equation & characteristics

06:13

Harvard AM205 video 3.16 - Partial differential equations

20:01

Harvard AM205 video 3.15 - ODE boundary value problems

21:50

Harvard AM205 video 3.12 - ODE error estimation

17:47

Harvard AM205 video 3.14 - Multistep methods

15:51

Harvard AM205 video 3.13 - Stiff ODE systems

35:34

Harvard AM205 video 3.11 - Runge–Kutta methods

24:49

Harvard AM205 video 3.10 - ODE stability

27:43

Harvard AM205 video 3.9 - ODE convergence

11:39

Harvard AM205 video 3.8 - One-step integration methods

10:37

Harvard AM205 video 3.7 - ODE initial value problems

11:59

Harvard AM205 video 3.6 - Differentiation matrices

19:04

Harvard AM205 video 3.5 - Finite-difference approximations

22:40

Harvard AM205 video 3.4 - Gauss quadrature

19:35

Harvard AM205 video 3.3 - Composite quadrature rules

19:59

Harvard AM205 video 3.2 - Numerical integration

15:57

Harvard AM205 video 3.1 - Introduction to numerical calculus

05:09

Harvard AM205 video 3.0 - Final project organization

25:49

Harvard AM205 video 2.13 - An example of PCA

20:40

Harvard AM205 video 2.9 - Householder triangularization

03:38

Harvard AM205 video 2.12 - Low-rank approximation

15:33

Harvard AM205 video 2.11 - Singular value decomposition

08:07

Harvard AM205 video 2.10 - Givens rotations

22:07

Harvard AM205 video 2.8 - Gram–Schmidt orthogonalization

08:21

Harvard AM205 video 2.7 - QR decomposition

32:07

Harvard AM205 video 2.6 - Timing algorithms

21:17

Harvard AM205 video 2.4 - LU factorization

17:20

Harvard AM205 video 2.5 - LU pivoting and Cholesky factorization

28:26

Harvard AM205 video 2.2 - Norms

07:46

Harvard AM205 video 2.3 - The residual

13:29

Harvard AM205 video 2.1 - Introduction to numerical linear algebra

27:24

Harvard AM205 video 1.8 - Nonlinear least squares

14:49

Harvard AM205 video 1.7 - Underdetermined least squares

29:45

Harvard AM205 video 1.6 - Linear least squares

27:34

Harvard AM205 video 1.5 - Piecewise polynomial interpolation