Slides from AMath 574, Winter Quarter, 2011

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• am574lecture1.pdf ... am574lecture1nup3.pdf ... Introduction

• am574lecture2.pdf ... am574lecture2nup3.pdf ... Acoustics, 2D examples

• am574lecture3.pdf ... am574lecture3nup3.pdf ... Gas dynamics, linearization, eigenvectors

• am574lecture4.pdf ... am574lecture4nup3.pdf ... Linear Riemann problems, finite volume methods

• am574lecture5.pdf ... am574lecture5nup3.pdf ... Finite volumes: Godunov, upwind, conservation, CFL

• am574lecture6.pdf ... am574lecture6nup3.pdf ... CFL, Lax-Wendroff, dispersion, dissipation

• am574lecture7.pdf ... am574lecture7nup3.pdf ... High resolution methods

• am574lecture8.pdf ... am574lecture8nup3.pdf ... Plotting

• am574lecture9.pdf ... am574lecture9nup3.pdf ... Boundary conditions, multi-dimensional

• am574lecture10.pdf ... am574lecture1nup10.pdf ... Multi-dimensional, fractional steps

• am574lecture11.pdf ... am574lecture1nup11.pdf ... Unsplit multi-dimensional

• am574lecture12.pdf ... am574lecture1nup12.pdf ... 2d acoustics and elasticity

• am574lecture13.pdf ... am574lecture1nup13.pdf ... Scalar nonlinear - traffic flow, shocks, Burgers'

• am574lecture14.pdf ... am574lecture1nup14.pdf ... Shocks, Lax-Wendroff theorem

• am574lecture15.pdf ... am574lecture1nup15.pdf ... entropy conditions

• am574lecture16.pdf ... am574lecture1nup16.pdf ... Shallow water, Riemann problem for nonlinear systems

• am574lecture17.pdf ... am574lecture1nup17.pdf ... Riemann problem for nonlinear systems

• am574lecture18.pdf ... am574lecture1nup18.pdf ... Burgers' + advection

• am574lecture19.pdf ... am574lecture1nup19.pdf ... Finite volume method for nonlinear systems

• am574lecture20.pdf ... am574lecture1nup20.pdf ... Approximate Riemann solvers