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    "# The Riemann Problem for Hyperbolic PDEs: Theory and Approximate Solvers\n",
    "\n",
    "by David I. Ketcheson, Randall J. LeVeque, and Mauricio del Razo Sarmina\n",
    "\n",
    "The Github repository containing these notebooks is https://github.com/clawpack/riemann_book\n",
    "\n",
    "## Contents\n",
    "\n",
    " - [Preface](Preface.ipynb). Describes the aims and goals, and different ways to use the notebooks.\n",
    " \n",
    "## Part I: The Riemann problem and its solution\n",
    "\n",
    "  0. [Introduction](Introduction.ipynb). Introduces basic ideas with some sample solutions.\n",
    "  1. [Advection](Advection.ipynb)\n",
    "  2. [Acoustics](Acoustics.ipynb)\n",
    "  3. [Traffic flow](Traffic_flow.ipynb)\n",
    "  4. [Burgers' equation](Burgers.ipynb)\n",
    "  5. [Nonconvex_scalar](Nonconvex_scalar.ipynb)\n",
    "  6. [Shallow water waves](Shallow_water.ipynb)\n",
    "  7. [Shallow water with a tracer](Shallow_tracer.ipynb)*[Needs work!]*\n",
    "  8. [Euler equations of compressible gas dynamics](Euler.ipynb)\n",
    "  \n",
    "## Part II: Approximate solvers\n",
    "\n",
    "  0. [Approximate_solvers](Approximate_solvers.ipynb). Introduction to two basic types of approximations.\n",
    "  1. [Burgers equation](Burgers_approximate.ipynb)\n",
    "  2. [Shallow water](Shallow_water_approximate.ipynb)\n",
    "  3. [Euler approximate solvers](Euler_approximate.ipynb).\n",
    "  4. [Numerical comparisons](Euler_compare.ipynb)\n",
    "\n",
    "## Part III: Riemann problems with spatially-varying flux\n",
    "  1. Advection\n",
    "  2. [Acoustics in heterogeneous media](Acoustics_heterogeneous.ipynb)\n",
    "  3. [Traffic with varying road conditions](Traffic_variable_speed.ipynb)\n",
    "  4. [Nonlinear elasticity in a heterogeneous medium](Nonlinear_elasticity.ipynb)\n",
    "  5. Ideal gas shock tube with different ratio of specific heats\n",
    "  6. [Euler equations with Tammann equation of state](Euler_equations_TammannEOS.ipynb)\n",
    "  \n",
    "## Part IV: Source terms\n",
    "  1. [Traffic with an on-ramp](Traffic_with_ramps.ipynb)\n",
    " \n",
    "## Part V: Non-classical problems\n",
    "  1. [Nonconvex flux for a scalar problem](Nonconvex_scalar.ipynb)\n",
    "  2. [Pressureless flow](Pressureless_flow.ipynb)\n",
    " \n",
    "## Part VI: Multidimensional systems\n",
    "  1. [Acoustics](http://nbviewer.jupyter.org/github/maojrs/ipynotebooks/blob/master/acoustics_riemann.ipynb) *[To be improved and incorporated into this project]*\n",
    "  2. [Elasticity](http://nbviewer.jupyter.org/github/maojrs/ipynotebooks/blob/master/elasticity_riemann.ipynb) *[To be improved and incorporated into this project]*\n",
    "  3. [The Kitchen Sink: shallow water in cylindrical coordinates](Kitchen_sink_problem.ipynb)"
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