Although we have never covered this in class, splines are a very important component in numerical analysis and computer graphics.  A spline is a special piecewise defined function.  To go along with what we have learned in class, polynomial interpolation can be executed by spline interpolation.  In more specific areas of computer graphics, spline functions […]

As I googled for some sites about the approximation method of least squares, I noticed that this method is a very powerful tool in computer graphics.  I also came across a variation of the method called Moving Least Squares (MLS).  According to Wikipedia, moving least squares is a method of reconstructing continuous functions from a […]

There are many instances in which the financial world utilizes scientific computing.  In many cases, numbers need to be crunched.  However, there are times when calculations would be very tough that computers cannot perform them in a reasonable amount of time.  As we have learned, there are many ways to simplify the calculations (through nested […]