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Lecture

Krylov Methods / Multigrid Continued

Home > Mathematics > Algebra > Mathematical Methods for Engineers II > Krylov Methods / Multigrid Continued Lecture Details:

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

Lectures:
• Difference Methods for Ordinary Differential Equations

00:44:42Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Finite Differences, Accuracy, Stability, Convergence

00:55:48Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• The One-way Wave Equation and CFL / von Neumann Stability

00:55:43Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Comparison of Methods for the Wave Equation

00:52:20Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Second-order Wave Equation (including leapfrog)

00:54:59Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Wave Profiles, Heat Equation / Point Source

00:52:16Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Finite Differences for the Heat Equation

00:54:58Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Convection-Diffusion / Conservation Laws

00:53:31Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Conservation Laws / Analysis / Shocks

00:44:30Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Shocks and Fans from Point Source

00:56:02Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Level Set Method

00:53:44Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Matrices in Difference Equations (1D, 2D, 3D)

00:53:59Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Elimination with Reordering: Sparse Matrices

00:56:05Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Financial Mathematics / Black-Scholes Equation

00:49:34Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Iterative Methods and Preconditioners

00:51:34Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• General Methods for Sparse Systems

00:47:13Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Multigrid Methods

00:51:16Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Krylov Methods / Multigrid Continued

00:49:33Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

00:52:22Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Fast Poisson Solver

00:48:24Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Optimization with constraints

00:50:56Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Weighted Least Squares

00:52:24Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Calculus of Variations / Weak Form

00:51:44Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Error Estimates / Projections

00:50:25Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Saddle Points / Inf-sup condition

00:51:29Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Two Squares / Equality Constraint Bu = d

00:52:36Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Regularization by Penalty Term

00:49:17Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Linear Programming and Duality

00:56:35Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• Duality Puzzle / Inverse Problem / Integral Equations

00:51:27Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.