Advances in Computational Mathematics

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Zhongying Chen, Yueshen Li, Charles Micchelli, Yuesheng Xu
CRC Press, Sep 10, 1998 - Mathematics - 632 pages
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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
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About the author (1998)

Zhongying Chen is a professor of computational mathematics at Sun Yat-Sen University, China. He is the author or co-author of more than 70 professional publications, including the books Generalized Difference Methods for Differential Equations and Approximate Solutions of Operator Equations. He has served on the editorial board of four journals including Advances in Computational Mathematics, and two book series including the Series in Information and Computational Science, China.

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