PDE_start.ipynb

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    "# Fast PDE/IE course, Skoltech, Spring 2015"
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    "## Team\n",
    "Ivan Oseledets, Associate Professor, Skoltech  \n",
    "Alexander Shapeev, Assistant Professor, Skoltech  \n",
    "Maxim Rakhuba, TA  \n",
    "Evgeny Frolov, TA  \n",
    "Dasha Sushnikova, TA  \n",
    "Artem Naumov, TA"
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    "## How do we grade\n",
    "\n",
    "- **50%** homework\n",
    "- **20%** 2 written tests\n",
    "- **30%** Application Period\n",
    "- **pass-fail** ping-pong test\n",
    "\n",
    "**Strict** deadlines with **5 days** of additional budget. 50% max for late submissions\n",
    "\n",
    "Attendance control **not strict**  \n",
    "\n",
    "(as usual do not disappoint us: the negative bonus can be large)"
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    "## Technical details\n",
    "\n",
    "1. We will try to use [Python](www.python.org) and [IPython/Jupyter notebooks](http://nbviewer.ipython.org/github/ellisonbg/talk-2014-summer/blob/master/Jupyter%20and%20IPython.ipynb)\n",
    "for everything (lecture notes & homework assignments)\n",
    "2. I highly recommend you to install [Anaconda Python Distribution](http://continuum.io/downloads)  \n",
    "   (Skoltech email is enough for the free Academic license for the full version)\n",
    "3. Python 2.7 is used\n",
    "4. Feel free to ask TAs for help"
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    "## Course description\n",
    "\n",
    "**PDE** (Partial differential equations) and **IE** (integral equations) are the barebones for physical simulations. \n",
    "\n",
    "We will discuss how to solve them, and how to solve them fast.\n"
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    "## Learning outcomes\n",
    "\n",
    "- Finite elements & meshes for elliptic & parabolic problems\n",
    "- Sparse linear systems (direct solvers, preconditioners, multigrid)\n",
    "- Software packages for solving PDEs\n",
    "- Basic integral equations for exterior problems\n",
    "- High-frequency problems & convolution & FFT"
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    "## (Approximate) Syllabus\n",
    "- **Week 1:** Physical models & PDE & IE, finite differences 1D/2D\n",
    "- **Week 2:** FEM (basic elements, meshes, tools for meshing)\n",
    "- **Week 3:** Sparse matrices/iterative methods/multigrid (geom & AMG)\n",
    "- **Week 4:** Exterior problems & IE: discretization, quadrature, multipole, hierarchical matrices + test) \n",
    "- **Week 5:**  High-frequency & Fourier\n",
    "- **Week 6:**  Software packages for PDEs\n",
    "- **Week 7:** Exam & test\n",
    "- **Week 8:** App Period"
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    "## Homework\n",
    "- 4 problem sets\n",
    "- Each Friday (starting from the **week 2**) will be the deadline\n",
    "- Everybody has a resource of **5 days** to postpone problem sets deadlines\n",
    "\n",
    "## Tests\n",
    "- 2 written tests (**week 4** and **week 7**)\n",
    "- Ping-pong test (**week 7**)"
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   "source": [
    "##Materials\n",
    "\n",
    "- Lecture notes\n",
    "- Bother TAs with questions\n",
    "- We will point out important books/papers when appropriate"
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    "## Starting\n",
    "Now let us start the [First lecture](Lecture-1.ipynb)\n"
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