BMES 511 Lecture Notes - Lecture 4: Slope Field, Truncation Error, Round-Off Error
15 Mar 2016
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Hw 2 is posted - due next wednesday. Audio recording started: 5:12 pm wednesday, january 27, 2016. Slope field makes a connection between the differential expression and the model of the state variable. Put the slope found based on y" for each y and t value coordinates. Then connect them to get an approximation of the slope aka a slope field. It can also be offset based on an initial value (if it doesn"t start with 0) Sometimes it is also called the direction field. Reducing the time step will make it more accurate. Using the euler expression we can rewrite it as: Different ode solvers is because the step size being too small may not be represented by the computer correctly (lack of memory or calculations cause rounding, etc) 1*10-2 + 1. 0x104 = 112 the computer aligns the exponents in order to calculate this. So 1*10-2 = 0. 000001 so that takes more space/memory.
