Tue, 02 Dec 2008 18:19:42 -0800 Gerald Recktenwald http://web.cecs.pdx.edu/~gerry/class/ME352/podcast Podcast Maker v1.3.8b - http://www.lemonzdream.com/podcastmaker Lectures from ME 352, Engineering Numerical Methods at Portland State University during Fall 2008 en Gerald Recktenwald gerry@me.pdx.edu Podcasting engineering education, numerical methods, MATLAB no Gerald Recktenwald Demonstration of Euler's method. Quick review of trouble-spots in the course http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-12-02_part2.mp3 Tue, 02 Dec 2008 13:00:00 -0800 Engineering education no 00:40:02 engineering education, numerical methods, MATLAB Gerald Recktenwald Overview of ODE Solvers, Euler's method http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-12-02_part1.mp3 Tue, 02 Dec 2008 12:00:00 -0800 Engineering education no 00:41:42 engineering education, numerical methods, MATLAB Gerald Recktenwald Discuss the meaning of Equations (8.37) and (8.38). Sample solution by inspection of diagonal systems. Solution of triangular systems by backward or forward substitution. Return to discussion of the role of condition number. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-11-20_part2.mp3 Thu, 20 Nov 2008 13:00:00 -0800 Engineering education no 00:38:40 engineering education, numerical methods, MATLAB Gerald Recktenwald Solving diagonal systems, triangle systems and conceptual overview of Gaussian Elimination. Review formal solution. Define the residual. Introduce the condition number and discuss meaning of ill-conditioning. Review of how to compare two vectors: use norm(x-y) not norm(x)-norm(y). Discuss meaning of Equation (8.37) http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-11-20_part1.mp3 Thu, 20 Nov 2008 12:00:00 -0800 Engineering education no 00:59:32 engineering education, numerical methods, MATLAB Gerald Recktenwald Conclude the sample problem by showing the MATLAB implementation. Discuss Example 8.2 from the textbook. Discuss consistency. Conclude the sample problem by showing the MATLAB implementation. Discuss Example 8.2 from the textbook -- a more challenging problem where the unknowns are not so obvious. Return to a discussion of the need for linear independence of the columns of A, and of consistency of the system of equations. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-11-16_part3.mp3 Tue, 18 Nov 2008 13:00:00 -0800 Engineering education no 00:41:12 engineering education, numerical methods, MATLAB Gerald Recktenwald Review of the example problem: develop a two-dimensional interpolant h = f(p,T) http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-11-16_part2.mp3 Tue, 18 Nov 2008 12:30:00 -0800 Engineering education no 00:06:44 engineering education, numerical methods, MATLAB Gerald Recktenwald Column space of a matrix, implications of linear independence/dependence of the columns We began with a consideration of the matrix-vector product. I showed that the matrix-vector product y = A*x can be interpreted as a linear combination of the columns of matrix A. From there we quickly looked at the implications for solving linear systems of equations. If A*x = b has a solution, then b must lie in the column space of A. Next I passed out a single sheet of paper with a homework problem from last year. The goal of the assignment was to formulate a two-dimensional interpolant for the enthalpy of steam as a function of pressure and temperature. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-11-16_part1.mp3 Tue, 18 Nov 2008 12:00:00 -0800 Engineering education no 00:36:06 engineering education, numerical methods, MATLAB Gerald Recktenwald Vector operations, continued More vector operations: linear combinations, inner product, contrast with array operators. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-11-06_part2.mp3 Thu, 06 Nov 2008 13:00:00 -0800 Engineering education no 00:47:18 engineering education, numerical methods, MATLAB Gerald Recktenwald Vector operations Vector operations: addition, scalar multiplication, linear combinations http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-11-06_part1.mp3 Thu, 06 Nov 2008 12:00:00 -0800 Engineering education no 00:50:47 engineering education, numerical methods, MATLAB Gerald Recktenwald Demonstration of fzero for more complicated root-finding problems. Began discussion of linear algebra I discussed the design problem for column buckling and showed how it could be implemented in MATLAB using the fzero function. Handouts showed code and a map of input and output variables between the code segments. Near the end of lecture, I reviewed MATLAB vectors and matrices. I defined vectors and matrices and discussed why array operators were needed. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-30_part2.mp3 Thu, 30 Oct 2008 13:00:00 -0700 Engineering education no 00:41:12 engineering education, numerical methods, MATLAB Gerald Recktenwald Review for midterm: open questions and recap of Chapter 5 I spent more time than I had planned answering questions and reviewing material. We reviewed Chapter 5 material in some detail. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-30_part1.mp3 Thu, 30 Oct 2008 12:00:00 -0700 Engineering education no 00:41:49 engineering education, numerical methods, MATLAB Gerald Recktenwald Secant method, fzero, demonstration of fzero. Forgot to turn on recorder for first half of lecture, which dealt with a wrap-up of bisection, and then Newton's method. In this second half, I showed slides to describe the secant method and the reverse-quadratic interpolation in fzero. I then did a demonstration of how to use fzero to solve a simple problem. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-28_part2.mp3 Tue, 28 Oct 2008 13:00:00 -0700 Engineering education no 00:44:27 engineering education, numerical methods, MATLAB Gerald Recktenwald Introduction to root-finding Started with review of m-files. Introduction to root-finding: formulation, graphical interpretation, and what is a bracket. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-21_part2.mp3 Tue, 21 Oct 2008 13:00:00 -0700 Engineering education no 00:49:09 engineering education, numerical methods, MATLAB Gerald Recktenwald MATLAB implementation of exploratory root-finding: zero-crossing and brackets Using MATLAB to plot f(x) and identify location of roots. Introduction to brackPlot http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-21_part1.mp3 Tue, 21 Oct 2008 12:00:00 -0700 Engineering education no 00:46:11 engineering education, numerical methods, MATLAB Gerald Recktenwald Introduction to floating point arithmetic Unavoidable errors: roundoff and truncation errors. Limits imposed by using a finite number of digits. Practical implications: convergence tests. Machine precision. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-16_part2.mp3 Thu, 16 Oct 2008 13:00:00 -0700 Engineering education no 00:55:24 engineering education, numerical methods, MATLAB Gerald Recktenwald Using fprintf to print formated data Data types: numeric, string, logical. Demonstrate fprintf with a progressive sequence of small m-files that provide more control over the output of a table of numbers. http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-14_part1.mp3 Tue, 14 Oct 2008 12:00:00 -0700 Engineering education no 00:53:54 engineering education, numerical methods, MATLAB Gerald Recktenwald MATLAB programming: conditional execution, use of automated stopping criteria in the implementations of sine series http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-09_part2.mp3 Thu, 09 Oct 2008 13:00:00 -0700 Engineering education no 00:43:22 engineering education, numerical methods, MATLAB Gerald Recktenwald MATLAB programming: review loops over elements of a vector, implementations of sine series http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-09_part1.mp3 Thu, 09 Oct 2008 12:00:00 -0700 Engineering education no 00:47:58 engineering education, numerical methods, MATLAB Gerald Recktenwald MATLAB programming: while loops http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-07_part2.mp3 Tue, 07 Oct 2008 13:00:00 -0700 Podcasting no 00:35:48 engineering education, numerical methods, MATLAB Gerald Recktenwald MATLAB programming: MATLAB is not Excel; Sequential execution, for loops http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-10-07_part1.mp3 Tue, 07 Oct 2008 12:00:00 -0700 Podcasting no 00:58:42 engineering education, numerical methods, MATLAB Gerald Recktenwald Demonstration of using MATLAB for data reduction for a capillary viscometer http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-09-30_part3.mp3 Tue, 30 Sep 2008 13:05:00 -0700 Podcasting no 00:39:45 engineering education, numerical methods, MATLAB Gerald Recktenwald Overview of MATLAB: Launching, evaluating simple expressions, calling built-in functions http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-09-30_part2.mp3 Tue, 30 Sep 2008 12:30:00 -0700 Podcasting no 00:29:58 engineering education, numerical methods, MATLAB Gerald Recktenwald Introduction and Class Logistics http://web.cecs.pdx.edu/~gerry/class/ME352/podcast http://web.cecs.pdx.edu/~gerry/class/ME352/podcast/2008-09-30_part1.mp3 Tue, 30 Sep 2008 12:00:00 -0700 Podcasting no 00:19:35 engineering education, numerical methods, MATLAB