Connection Coefficients for D6

 

In this appendix we present the values for the connection coefficients required to solve Burgers' equation using the D6 wavelet basis. This requires a vector of 2-term connection coefficients for the diffusion,, and a matrix of 3-term coefficients for the nonlinear advection,. The 2-term values are indexed over a single index l and the 3-term matrix is indexed over two indices l and m.

The D6 scaling function is defined by the scaling recursion

where the coefficientsare the numbers in the following table.

 
Table 1: Scaling coefficients for D6

 
Table 2: 2-term connection coefficients for D6

 
Table 3: 3-term connection coefficients for D6