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Lecture9.5. An exact flux conservation form

Lecture9.4. Conservative form and discontinuities

Lecture8.3. Second derivative FD as a matrix

Lecture7.1. Instability of upwinding schemes

Lecture7.5. Relating spatial and temporal stability criteria

Lecture 6.8. Intro to solution methods: Finite volume and finite difference

Lecture 6.9. Finite difference

Lecture 4.10. Limits of RK2

Lecture 4.4. Long-time stability of Midpoint 1

Lecture 2.13. Eigenvalue multiplication!!!

Lecture 2.5. From a derivative approximation to a scheme

Lecture 1.8. Exercise break

Optimality of finite element solution

Debugging unstructured finite volume for shallow water equations

Unstructured finite volume for shallow water equations, and finite volume data structures

Upwinding as a means of adding numerical dissipation

Numerical dissipation in finite volume

Implementing finite volume for shallow water equations

Finite volume on unstructured meshes

Introducing underrelaxation with Jacobi smoother to improve multigrid solutions

Numerical dissipation in the advection equation

Newton's Method for solving nonlinear problems

Recursive multigrid

Debugging multigrid implementation

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