CHEN 3201 Lecture Notes - Lecture 16: Lu Decomposition, Diagonal Matrix, Gaussian Elimination

13 views15 pages

mauvedinosaur421

28 Feb 2015

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

Chen3201_numericalmethods page 2 look @ 2nd column and see who"s the biggest --> swap that row with the 2nd row. Problem 2: do the same calculation by lu decomposition. we have already made upper diagonal matrix, but we can similarly make lower diagonal matrix use the terms in parenthases when we subtracted rows. From u x = y --> calculate x. Chen3201_numericalmethods page 8 no extra cost to do lu decomposition we still get same answers as pivoting gaussian elimination now doing forward substitution instead of backwards. Problem 3: solve the system by jacobi"s method with an initial guess (0,0). Problem 4: what happens if we switch the order of the equations in problem 3. Problem 3 and 4: use jacobi"s method to solve system of eqns. Chen3201_numericalmethods page 12 just rearranging original eqns to solve for x1 and x2 do iterations to see how close you can get to real value.

Related Questions

Fill out the whole table, you do not have to show your work on all of them, just show your work on 4 different kinds, example:

Problem #1: an acid that I measured the pH, we turn that into hydrogen ion concentration and fill out the table.
Problem #2: an acid where I did not measure the pH, in which case you start by looking up kA, then fill out the table
Problem #3: a base where I measured the pH turn that into hydroxide concentration and fill out the table,
Problem #4: a base where I did not measure the pH, then you have to find kB and fill out the table.

You only have to show work for each one of these and the rest can be done without any work.

In that table if you were to look at "Exp pH" you could see that some of them are crossed over and another pH is written, those ones are called "measured" for the measured columns you have to fill out "Theo Ka or Kb" and the "%error" as well. For the non measured rows, you do not have to fill out "Theo Ka or Kb" and the "%error."

NOTES:
1) For the Conjugate Acid and Conjugate Base, do not put H+, OH-. If itâs a weak acid, put that weak acid. For Conjugate base, then put the weak base. If the compound was a weak base, then put that thing in there, then put the conjugate acid in the other column. And do not include any spectator ions.

2) Do not bother to use the ice table to determine X, values for Ka or Kb can be looked up online.

3) In the case of nitrate ion, we cannot Kb, we can only look up Ka for its conjugate acid.

4) 7 of them have their pH measured. And the other 7 do not and that should be looked up.

CHEN 3201 Lecture Notes - Lecture 16: Lu Decomposition, Diagonal Matrix, Gaussian Elimination

Document Summary

Get access

Related Documents

CHEN 3201 Lecture Notes - Lecture 23: Diagonally Dominant Matrix, Numerical Method, Determinant

CHEN 3201 Lecture Notes - Lecture 34: Chemical Kinetics, Diagonal Matrix, Numerical Stability

CHEN 3201 Lecture Notes - Lecture 11: Joule, Triangular Matrix, Gaussian Elimination

Related Questions