Lecture 29: Duality Puzzle / Inverse Problem / Integral Equations

Lecture 28: Linear Programming and Duality

Lecture 27: Regularization by Penalty Term

Lecture 26: Two Squares / Equality Constraint Bu = d

Lecture 25: Saddle Points / Inf-sup condition

Lecture 24: Error Estimates / Projections

Lecture 23: Calculus of Variations / Weak Form

Lecture 22: Weighted Least Squares

Lecture 21: Optimization with constraints

Lecture 20: Fast Poisson Solver

Lecture 19: Conjugate Gradient Method

Lecture 18: Krylov Methods / Multigrid Continued

Lecture 17: Multigrid Methods

Lecture 16: General Methods for Sparse Systems

Lecture 15: Iterative Methods and Preconditioners

Lecture 14: Financial Mathematics / Black-Scholes Equation

Lecture 13: Elimination with Reordering: Sparse Matrices

Lecture 12: Matrices in Difference Equations (1D, 2D, 3D)

Lecture 11: Level Set Method

Lecture 10: Shocks and Fans from Point Source

Mathematical Methods for Engineers II

Neumann Stability

Lecture 03: The One-way Wave Equation and CFL / von Neumann Stability

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