Jacobi polynomial approximations in multiple dimensions are investigated. They areapplied to numerical solutions of singular differential equations. The converg
In this paper, we present some invariants and conservation laws of general linear methods applied to differential equation systems. We show that the quadratic i
In this paper we propose the two kinds of different criterions and use them to judge the convergence of Durand-Keer method and to compare the obtained results w
Based on a class of functions. which generalize the squared Fischer-Burmeister NCP function and have many desirable properties as the latter function has, we re
This paper continues to construct and study the explicit compact (EC) schemesfor conservation laws. First, we extend STCE/SE method on non-staggered grid,which