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Computational Mathematics in China
Edited by: Zhong-Ci Shi and Chung-Chun Yang
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Contemporary Mathematics
1994; 225 pp; softcover
Volume: 163
ISBN-10: 0-8218-5163-2
ISBN-13: 978-0-8218-5163-0
List Price: US$53
Member Price: US$42.40
Order Code: CONM/163
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This volume describes the most significant contributions made by Chinese mathematicians over the past decades in various areas of computational mathematics. Some of the results are quite important and complement Western developments in the field. The contributors to the volume range from noted senior mathematicians to promising young researchers. The topics include finite element methods, computational fluid mechanics, numerical solutions of differential equations, computational methods in dynamical systems, numerical algebra, approximation, and optimization. Containing a number of survey articles, the book provides an excellent way for Western readers to gain an understanding of the status and trends of computational mathematics in China.

Readership

Graduate students and applied and computational mathematicians.

Table of Contents

  • K. Feng and D. Wang -- Dynamical systems and geometric construction of algorithms
  • B. Guo -- Generalized stability of discretization and its applications to numerical solutions of nonlinear differential equations
  • H. Han -- The boundary element method for solving variational inequalities
  • E. Jiang -- The study of numerical analysis of matrix eigenvalue problem in China
  • Y. Kwok, H. Huang, and R. H. Chan -- Numerical analysis and scientific computation in Hong Kong
  • Q. Lin -- Interpolated finite elements and global error recovery
  • Z. Shi and M. Wang -- Mathematical theory of some non-standard finite element methods
  • J. Sun -- Some results on the field of spline theory and its applications
  • R. Wang -- Approximation theory and spline function
  • X. Wang -- A summary on continuous complexity theory
  • L. Ying -- Viscosity splitting schemes
  • D. Yu -- Natural boundary element method and adaptive boundary element method
  • Y. Yuan -- Trust region algorithms for nonlinear programming
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