Aim To study the numerical solving process for the large sparse matrix linear equations. Methods To realize the above aim

program developing language C++

cross list data storage structure

the special method of pivoting and elimination of pivot element were adopted. The large sparse matrix linear equations studied in this paper came from the mathematical model for numerical simulation of the 3D thermal fileds in the castings. Results The related program was developed. It was applied to CASTsoft/CAE for numerical simulation of the 3D thermal field. Conclusion Adopting the cross list data storage structure

a numerical solving algorithm for the large sparse matrix linear equations is put forward. This algorithm is worth to be referred and applied to another research areas because of its advantages such as calculating exactly

running fast and sparing memory.