Advances in Computational Mathematics

by Zhongying Chen (Editor)

Overview

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.

Product Details

ISBN-13:	9781000948172
Publisher:	CRC Press
Publication date:	08/25/2023
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	632
File size:	6 MB

About the Author

Zhongying Chen, Yueshen Li, Charles Micchelli, Yuesheng Xu

Table of Contents

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.

Editorial Reviews

...The articles give statisticians a modern view of recent advances in computational mathematics.

Journal of the American Statistical Association

The 37 refereed papers report on topics ranging from numerical linear algebra to signal and imaging processing. Other topics include an approach to integer wavelet transformation for lossless image compression, nonstationary matrix cascade algorithms, zero's asymptotic distribution of polynomials orthogonal with respect to varying weights, the computation and sensitivity of double eigenvalues, Korovkin-type quantitative estimates for some shape- preserving operators, a Schur complement operator arisen from Navier- Stokes equations and its preconditioning, and lower bounds for two- level additive Schwarz preconditioners for non-conforming finite elements. No index. Annotation c. by Book News, Inc., Portland, Or.

Booknews

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

From the Publisher