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.
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978-0-8218-5163-0 (9780821851630)
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Schweitzer Klassifikation
Dynamical systems and geometric construction of algorithms by K. Feng and D. Wang Generalized stability of discretization and its applications to numerical solutions of nonlinear differential equations by B. Guo The boundary element method for solving variational inequalities by H. Han The study of numerical analysis of matrix eigenvalue problem in China by E. Jiang Numerical analysis and scientific computation in Hong Kong by Y. Kwok, H. Huang, and R. H. Chan Interpolated finite elements and global error recovery by Q. Lin Mathematical theory of some non-standard finite element methods by Z. Shi and M. Wang Some results on the field of spline theory and its applications by J. Sun Approximation theory and spline function by R. Wang A summary on continuous complexity theory by X. Wang Viscosity splitting schemes by L. Ying Natural boundary element method and adaptive boundary element method by D. Yu Trust region algorithms for nonlinear programming by Y. Yuan.
