ASSIGNMENT #5: MATH 471 Due: Monday, October 20, 2008.
1. Load the data in data.mat on the web into MATLAB. Youll nd that it contains 100,000 points in R3 . Plot the data using the plot3 function. Compute a PCA of the data and compress the data onto the P
Computer Lab #5: MATH 471 Wednesday, October 8, 2005.
Again, we consider the problem of computing wavefront errors that is a requirement of adaptive optics systems. The dierential equation that must be solved, has the form
2
u(x, y) =
g(x, y),
0 < x, y <
Computer Lab #5: MATH 471 Wednesday, October 8, 2005.
Again, we consider the problem of computing wavefront errors that is a requirement of adaptive optics systems. The dierential equation that must be solved, has the form
2
u(x, y) =
g(x, y),
0 < x, y <
Computer Lab #6: MATH 471 Monday, October 27, 2008.
1. Download and run the third-order Taylor series m-les for solving dx = x + cos(t) + t2 , x(0) = 1 dt on [0, 4]. Plot the numerical solution given by the method together with the true solution 1 1 3 x(t
WORKSHEET #2: MATH 471 NUMERICAL ANALYSIS COMPUTER LAB
1. We seek a solution of the nonlinear system of equations F (x, y, z) = 0, where xy z 2 1 F (x, y, z) = xyz + y 2 x2 2 ex + z ey 3
(1)
Problem #1: Compute a solution of (1) using the Newtons method c