2009-08-11T11:29:01-06:00 Fernando Guevara Vasquez fguevara@math.utah.edu http://www.math.utah.edu/~fguevara/math5620_s09/ tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-04-29, 09:10PM:1241061041 2009-04-29T21:10:41-06:00 <ul> <li>Here are the practice final and solutions: <a href="./final_practice.pdf">final_practice.pdf</a> and <a href="./final_practice_sol.pdf">final_practice_sol.pdf</a>.</li> <li>The <strong>Final Exam</strong> is <em>Wednesday May 6 2009</em> from <strong>8am to 10am</strong>. <ul> <li>Please plan to be there 10min before.</li> <li>Two one sided, letter sized, handwritten cheat sheets are allowed.</li> <li>No notes or books are allowed. Calculators are allowed but are not needed.</li> </ul></li> <li>For the three of you who will take the <strong>Early Final Exam</strong> on <em>Monday May 4 2009</em> from <strong>12:30pm to 2:30pm</strong> I will contact you soon with exact room.</li> <li>Thank you all for the excellent project presentations!</li> </ul> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-04-22, 04:28PM:1240439337 2009-04-22T16:28:57-06:00 <ul> <li>The class notes for hyperbolic problems are here: <a href="./na018.pdf">na018.pdf</a>. See also the Leveque book that appears in the references.</li> <li>The Matlab examples we saw in class are here: <a href="./hyper.m">hyper.m</a> and <a href="./outflow.m">outflow.m</a>.</li> <li>There will be half a lecture next Friday.</li> </ul> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-04-17, 12:45PM:1239993958 2009-04-17T12:45:58-06:00 <ul> <li>Class notes for today are available here: <a href="./na017.pdf">na017.pdf</a>.</li> <li>The solutions for <strong>HW5</strong> are here: <a href="./hw5sol.pdf">hw5sol.pdf</a>.</li> </ul> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-04-13, 12:43PM:1239648234 2009-04-13T12:43:54-06:00 <p>Lecture notes for the past week and today are here: <a href="./na016.pdf">na016.pdf</a>. They are concerned with parabolic PDEs (heat equation).</p> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-04-10, 11:59PM:1239429592 2009-04-10T23:59:52-06:00 <ul> <li><strong>HW6</strong> is due the last day of classes and is available here: <a href="./hw6.pdf">hw6.pdf</a>. Since I will drop the lowest HW grade you can consider this assignment optional if you have done all the other assignments.</li> </ul> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-04-07, 11:46AM:1239126365 2009-04-07T11:46:05-06:00 <p>Here is a recap of what we have seen in finite elements: <a href="./na015.pdf">na015.pdf</a>.</p> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-04-03, 04:11PM:1238796700 2009-04-03T16:11:40-06:00 <ul> <li>Lecture notes for Wed and Friday are here: <a href="./na014.pdf">na014.pdf</a>. <br /> There is a typo in p103, in the expression for B, B_2,1 should be y₂-y₁.</li> <li><strong>HW5</strong> has been <strong>extended</strong> to next <em>Friday 04/10</em>. This is because there were many misunderstandings about what was asked in the homework.<br /> <strong>Please see this addendum</strong>: <a href="./hw5add.pdf">hw5add.pdf</a>, it should clarify what exactly I am expecting in your solutions.</li> <li><strong>HW6</strong> will be given sometime next week.</li> </ul> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-03-31, 11:09AM:1238519387 2009-03-31T11:09:47-06:00 <ul> <li>Here are solutions for <strong>HW4</strong>: <a href="./hw4sol.pdf">hw4sol.pdf</a></li> <li>For <strong>HW5</strong>: <ul> <li>P1 is the space of polynomials with degree less than <strong>or equal to</strong> 1.</li> <li>Please do use sparse matrices for the calculations (the command <code>sparse(n,n)</code>gives a matrix that can be used as <code>zeros(n,n)</code> but that stores only the non-zero components).</li> <li>An essential aspect of FEM is that the stiffness matrix is sparse, making linear system solves much faster. For sparse systems an iterative method like CG would work well. However Matlab&#8217;s <code>backslash</code> uses an LU factorization that knows how to take advantage of sparsity. If you want to know what is under the hood check this links: <a href="http://www.cise.ufl.edu/research/sparse/CSparse/">book</a> and <a href="http://www.cise.ufl.edu/research/sparse/SIAM06/">talk</a>.</li> <li>The indices in the local to global map <code>i(e,j)</code> may be different than what we saw in the notes because in Matlab it is more convenient to number the nodes and local degrees of freedom starting with one.</li> </ul></li> <li>Lecture notes for Monday are here: <a href="./na013.pdf">na013.pdf</a></li> </ul> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-03-27, 02:22PM:1238185375 2009-03-27T14:22:55-06:00 <ul> <li><strong>HW5</strong> is due next <em>Friday April 3</em> and is available here: <a href="./hw5.pdf">hw5.pdf</a>. This is a short mostly programming assignment where you need to implement the 1D finite element method.</li> <li>Class notes the week are available here: <a href="./na012.pdf">na012.pdf</a>.</li> </ul> tag:http://www.math.utah.edu/~fguevara/math5620_s09,2009-03-21, 06:08AM:1237637312 2009-03-21T06:08:32-06:00 <p>Here are some reference numbers for HW4: <a href="./hw4ref.txt">hw4ref.txt</a>.</p>