## Advances in Computational MathematicsZhongying Chen, Yueshen Li, Charles Micchelli, Yuesheng Xu 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. |

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### Contents

Bivariate Polynomial Interpolation with Asymptotic Conditions I | 1 |

Gasca Departamento de Matematica Aplicada Universidad de Zaragoza Zaragoza | 18 |

An Approach to Integer Wavelet Transformations for Lossless | 19 |

Transpose Free Alternating Direction Smoothers for Serial | 39 |

The Modified Method of Characteristics with Adjusted Advection | 53 |

Jim Douglas Jr Department of Mathematics Purdue University West Lafayette | 73 |

Numerical Methods for Contaminant Transport in Porous Media | 75 |

Indiana | 95 |

Jianmin Wang Lingnan College Zhongshan University Guangzhou P R China | 244 |

MingJun Lai Department of Mathematics University of Georgia Athens Georgia | 277 |

Conditional Ellipticity and Constrained Optimization | 279 |

Biorthogonality of General Periodic Scaling Functions | 299 |

New Necessary Conditions for Multiplicative Inverse Eigenvalue | 313 |

Regularization Wavelet Method for Solving Integral Equations | 339 |

The Computation and Sensitivity of Double Eigenvalues | 353 |

On the Convexity of PowellSabin Finite Elements | 395 |

Nonstationary Matrix Cascade Algorithms | 97 |

T N T Goodman Department of Mathematics University of Dundee Dundee | 111 |

Application of Multiscale Techniques to Hyperbolic Conservation Laws | 113 |

Birgit GottschlichMiiller Institut fur Geometrie und Praktische Mathematik RWTH | 137 |

Stabilization of the uhqrAlgorithm | 139 |

Aachen Aachen Germany | 154 |

A New Monotone Approximation for Nonlinear Systems | 155 |

Some Matrix Approximation Problems in Control Theory | 173 |

Lutai Guan Lingnan College Zhongshan University Guangzhou P R China | 190 |

Distribution of the Zeros of Jacobi Polynomials Associated with | 191 |

Victor Pan Department of Mathematics Barry University Miami Shores Florida | 201 |

Ei gen structure Preserving Schemes and Their Applications | 223 |

Mingyou Huang Institute of Mathematics Jilin University Changchun P R China | 235 |

Norming Sets and Spherical Cubature Formulas | 237 |

Representation of Practical Recurrent Curves | 413 |

Quantitative Estimates of Korovkintype for Some Shape Preserving | 457 |

W Lawton Department of Mathematics National University of Singapore Singapore | 469 |

Parametric Subfamilies of Apportionment Methods | 471 |

Silong Peng Institute of Mathematics Academia Sinica Beijing P R China | 479 |

On Orthonormal Spline Wavelets of Multiknots in the Periodic Case | 491 |

Multiple Integrals in Many Dimensions | 507 |

Paul VVenston Department of Mathematics University of Georgia Athens Georgia | 516 |

Solving Differential Equations with Radial Basis Functions | 537 |

Wei Wu Department of Mathematics Jilin University Changchun P R China | 543 |

Existence and Factorization | 565 |

Ding Xuan Zhou Department of Mathematics City University of Hong Kong | 583 |

Lower Bounds for TwoLevel Additive Schwarz Preconditioners for | 585 |

### Common terms and phrases

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