# Conservation Laws / Analysis / Shocks

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

• ##### Difference Methods for Ordinary Differential Equations
Gilbert Strang

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

• ##### Finite Differences, Accuracy, Stability, Convergence
Gilbert Strang

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

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

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

• ##### Comparison of Methods for the Wave Equation
Gilbert Strang

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

• ##### Second-order Wave Equation (including leapfrog)
Gilbert Strang

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

• ##### Wave Profiles, Heat Equation / Point Source
Gilbert Strang

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

• ##### Finite Differences for the Heat Equation
Gilbert Strang

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

• ##### Convection-Diffusion / Conservation Laws
Gilbert Strang

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

• ##### Conservation Laws / Analysis / Shocks
Gilbert Strang

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

• ##### Shocks and Fans from Point Source
Gilbert Strang

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

• ##### Level Set Method
Gilbert Strang

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

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

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

• ##### Elimination with Reordering: Sparse Matrices
Gilbert Strang

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

• ##### Financial Mathematics / Black-Scholes Equation
Gilbert Strang

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

• ##### Iterative Methods and Preconditioners
Gilbert Strang

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

• ##### General Methods for Sparse Systems
Gilbert Strang

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

• ##### Multigrid Methods
Gilbert Strang

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

• ##### Krylov Methods / Multigrid Continued
Gilbert Strang

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

Gilbert Strang

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

• ##### Fast Poisson Solver
Gilbert Strang

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

• ##### Optimization with constraints
Gilbert Strang

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

• ##### Weighted Least Squares
Gilbert Strang

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

• ##### Calculus of Variations / Weak Form
Gilbert Strang

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

• ##### Error Estimates / Projections
Gilbert Strang

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

• ##### Saddle Points / Inf-sup condition
Gilbert Strang

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

• ##### Two Squares / Equality Constraint Bu = d
Gilbert Strang

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

• ##### Regularization by Penalty Term
Gilbert Strang

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

• ##### Linear Programming and Duality
Gilbert Strang

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

• ##### Duality Puzzle / Inverse Problem / Integral Equations
Gilbert Strang

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