cs205a - CS 205a Fall 2011 Midterm 2 Please write your name...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CS 205a Fall 2011 Midterm 2 Please write your name and netid on the top right of the first page. The exam is closed book and no calculators are allowed. You have 1 hour and 15 minutes to complete the exam. Multiple Choice (4 x 1 pt each) For each of the following questions, circle ALL answers that are correct. 1. Let A be a symmetric positive definite n × n matrix that you attempt to solve using the Conjugate Gradient method. If A has 3 distinct eigenvalues, what is the maximum number of steps (in theory) that the CG solver needs to converge? (a) n (b) 3 (c) n - 3 (d) None of the above is correct. 2. Recall the Newmark method: x n +1 = x n + Δ tv n + Δ t 2 2 (1 - 2 β ) α n + 2 βα n +1 v n +1 = v n + Δ t (1 - γ ) α n + γα n +1 Which of the following methods is not equivalent for some choice of α and β parameters? (a) Constant Acceleration (b) 3 rd -order accurate Runge-Kutta. (c) Central Differencing (d) Trapezoidal Rule 3. In general, which of the following methods are the most suitable for solving heat equations?
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern