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E-book: Advances in Computational Mathematics [Taylor & Francis e-book]

Edited by (Zhongshan University), Edited by , Edited by (Zhongshan University), Edited by (North Dakota State University)
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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.

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.
Preface iii(6) Contributors ix(6) Participants xv
1. Bivariate Polynomial Interpolation with Asymptotic Conditions 1(18) J. M. Carnicer M. Gasca
2. An Approach to Integer Wavelet Transformations for Lossless Image Compression 19(20) Hongyang Chao Paul Fisher Zeyi Hua
3. Transpose Free Alternating Direction Smoothers for Serial and Parallel Multigrid Methods 39(14) Craig C. Douglas Sachit Malhotra Martin H. Schultz
4. The Modified Method of Characteristics with Adjusted Advection for an Immiscible Displacement Problem 53(22) Jim Douglas, Jr. Chieh-Sen Huang Felipe Pereira
5. Numerical Methods for Contaminant Transport in Porous Media 75(22) Richard E. Ewing Suzanne L. Weekes
6. Nonstationary Matrix Cascade Algorithms 97(16) T. N. T. Goodman S. L. Lee
7. Application of Multiscale Techniques to Hyperbolic Conservation Laws 113(26) Birgit Gottschlich-Muller Siegfried Muller
8. Stabilization of the uhqr-Algorithm 139(16) William B. Gragg
9. A New Monotone Approximation for Nonlinear Systems 155(18) Ben Yu Guo Yuan Ming Wang
10. Some Matrix Approximation Problems in Control Theory 173(10) Chunyang He G. Alistair Watson
11. Zeros Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights 183(8) M. X. He P. Natalini P. E. Ricci
12. Distribution of the Zeros of Jacobi Polynomials Associated with Varying Weights 191(12) Matthew He Victor Pan
13. Constructing Symmetric Cubature Formulae on a Triangle 203(20) Sangwoo Heo Yuan Xu
14. Eigenstructure Preserving Schemes and Their Applications in Dynamical Systems 223(14) Mingyou Huang Yongkui Zou
15. Norming Sets and Spherical Cubature Formulas 237(8) K. Jetter J. Stockler J. D. Ward
16. Bivariate Spline Method for Numerical Solution of Navier-Stokes Equations in Stream Function Formulation 245(34) Ming-Jun Lai Paul Wenston
17. Conditional Ellipticity and Constrained Optimization 279(20) Wayne Lawton
18. Biorthogonality of General Periodic Scaling Functions 299(14) Dengfeng Li Silong Peng
19. New Necessary Conditions for Multiplicative Inverse Eigenvalue Problem 313(8) Luoluo Li
20. A Survey on Generalized Difference Methods and Their Analysis 321(18) Ronghua Li Zhongying Chen Wei Wu
21. Regularization Wavelet Method for Solving Integral Equations of the First Kind 339(14) Jie Ling Yuesheng Li
22. The Computation and Sensitivity of Double Eigenvalues 353(42) Ross A. Lippert Alan Edelman
23. On the Convexity of Powell-Sabin Finite Elements 395(10) Jeronimo Lorente-Pardo Paul Sablonniere M. Carmen Serrano-Perez
24. The Smoothness of Fractal Interpolation Functions and Its Holder Exponents 405(8) Jianzhu Lu Yuesheng Li
25. Representation of Practical Recurrent Curves 413(10) Xiaonan Luo Chengying Gao Jianmin Wang Lutai Guan
26. Block Cholesky Factorization of Infinite Matrices and Orthonormalization of Vectors of Functions 423(34) C. V. M. van der Mee G. Rodriguez S. Seatzu
27. Quantitative Estimates of Korovkin-type for Some Shape Preserving Operators 457(8) F.-J. Munoz-Delgado D. Cardenas-Morales
28. A New Image Transformation Scheme and Digital Approximation between Different Pictures 465(6) Dongxu Qi Wei Ding Huashan Li
29. Parametric Subfamilies of Apportionment Methods 471(10) V. Ramirez M. L. Marquez R. Perez
30. On a Schur Complement Operator Arisen from Navier-Stokes Equations and Its Preconditioning 481(10) Ling Shen Jinchao Xu
31. On Orthonormal Spline Wavelets of Multi-knots in the Periodic Case 491(16) Shi Shu Haiyan Yu Jicheng Jin
32. Multiple Integrals in Many Dimensions 507(10) Ian H. Sloan Henryk Wozniakowski
33. The Discrete Cosine Transform, Block Toeplitz Matrices, and Wavelets 517(20) Gilbert Strang
34. Solving Differential Equations with Radial Basis Functions 537(8) Zongmin Wu
35. Computation of Nonlinear Galerkin Methods with Variable Modes for 2-D K-S Equations 545(20) Zhong Hua Yang Yu Jiang Wu Ben Yu Guo
36. Multiple Refinable Distributions: Existence and Factorization 565(20) Ding Xuan Zhou
37. Lower Bounds for Two-Level Additive Schwarz Preconditioners for Nonconforming Finite Elements 585 Susanne C. Brenner Li-yeng Sung
Zhongying Chen
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