Advances in Computational Mathematics

• 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.

". . .The articles give statisticians a modern view of recent advances in computational mathematics."---Journal of the American Statistical Association