Advances in Computational Mathematics

This volume presents the refereed proceedings of the Guangzhou International Symposium on Computational Mathematics, held at the Zhongshan University, People's Republic of China. Nearly 90 international mathematicians examine numerical optimization methods, wavelet analysis, computational approximation, numerical solutions of differential and integral equations, numerical linear algebra, inverse and ill-posed problems, geometric modelling, and signal and image processing and their applications.

Bivariate polynomial interpolation with asymptotic conditions; an approach to integer wavelet transformations for lossless image compression; transpose free alternating direction smoothers for serial and parallel multifrid methods; the modified method of characterisitcs with adjusted advection for an immiscible desplacement problem; numerical methods for contaminant transport in porous media; nonstationary matrix cascade algorithms; application of multiscale techniques to hyperbolic conservation laws; stabilization of the uhqu algorithm; a new monotone approximation to nonlinear systems; some matrix approximation problems in control theory; zero's asymptotic distribution of polynomials orthogonal with respects to varying weight; distribution of the zeros of Jacobi polynomials associated with varying weights; construction symmetric cubature formulae in a triangle; eigenstructure preserving schemes and their applications in dynamical systems; norming sets and spherical cubature formuls; bivariate spline method for numerical solution of Navier-Stokes euqations in stream function formulation; conditional ellipticity and constrained optimization; biorthogonality of general periodic scaling functions; new necessary conditions for multiplicative inverse eigenvalue problems; a survey on generalized difference methods and their analysis; regularization wavelet method for solving integral equations of the first kind; the computation and sensitivity of double eigenvalues; on the convexity of Powell-Sabin finite elements; the smoothness of fractal interpolation functions and its holder exponents; representation of practical recurrent curves.

Zhongying Chen