MAE 06 UCSD
Find below a list of sample documents for UCSD MAE 06 course.
UCSD MAE 06 documents:
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1 MAE290a midterm (2006) 75 minutes, closed book, no calculators, one page of notes allowed. 1. (20 points) Dene 1 1 0 1 2 1 0 1 2 A= 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 , 2 0 0 1 2 1 0 2 1 0 0 0 b = . 0 0 1 Using the Gaussian eliminati -
1 MAE290a nal (2006) 3 hours, closed book, no calculators, two pages of notes allowed. 1. The spurious solution component of the AB2 method Recall from the notes that the AB2 method may be written yn+1 = yn + h 1 f(yn ,tn ) + 2f(yn1 ,tn1 ) . (1) Ap -
1 MAE290a nal solutions (2006) 1. The spurious solution component of the AB2 method Expanding the expression given for leads to 1 1 = (2 )h + (12 + 2)h2 2 + . . . = h h2 2 + . . . 2 2 2 Solving (3a) and (4b) for y0,+ and y0, gives y0,+ = y1 y0 -
1 MAE290a midterm (2006) 75 minutes, closed book, no calculators, one page of notes allowed. 1. (20 points) Dene 1 1 0 1 2 1 0 1 2 A= 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 , 2 0 0 1 2 1 0 2 1 0 0 0 b = . 0 0 1 Using the Gaussian eliminati
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1 MAE290a nal solutions (2006) 1. The spurious solution component of the AB2 method Expanding the expression given for leads to 1 1 = (2 )h + (12 + 2)h2 2 + . . . = h h2 2 + . . . 2 2 2 Solving (3a) and (4b) for y0,+ and y0, gives y0,+ = y1 y0
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1 MAE290a nal (2006) 3 hours, closed book, no calculators, two pages of notes allowed. 1. The spurious solution component of the AB2 method Recall from the notes that the AB2 method may be written yn+1 = yn + h 1 f(yn ,tn ) + 2f(yn1 ,tn1 ) . (1) Ap
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