Anybody has idea about GMRES/ILU(0)? It's about solving linear system equation AX=b. What's preconditioner and Generalized Minimal Residual Method? Thanks a lot.

(1). The best place to get the answer is the Department of Mathematics. These are just different iterative methods to solve s system of different kind of linear equations.

GMRES/ILU(0) is probably just the GMRES linear solver with the incomplete LU decomposition (ILU) preconditioner. Zero parameter in ILU, ILU(0), means zero level of fill-ins in the coefficient matrix of the preconditioned system. You may consult the following book for details: Saad Y., Iterative Methods for Sparse Linear Systems, PWS Publ.Co., ISBN 0-534-94776-X regards DML

Why don't you have a look at

Numerical Recipes, 1989, by Press, Flannery, Teukolsky and Vetterling, Cambridge University Press. This book has all the basic you want about solving equations on the computer. It has good references too and it is a good start indeed.