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Computational Mathematics in China
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.
Scientific Computation
The proceedings in this volume provide reviews and discussions on the current and future developments in scientific computation, including numerical solutions of differential equations, numerical linear algebra, parallel computation and engineering applications. It contains papers by leading scientists in computational mathematics from US, Israel, Italy, China and Hong Kong. Contents: Multi-Scale Computational Methods: Research Activities (A Brandt)Some Applica-tions of the Probing Technique in Domain Decomposition (Tony F C Chan & T P Mathew)On the Free Formation of Constructing Stiffness Matrices (S-C Chen & Z-C Shi)Formal Power Series and Numerical Algorithms for Dynamical Systems (Feng K...
Computation Of Differential Equations And Dynamical Systems
Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint a...
Mathematical Theory of Elastic Structures
Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving part...
Recent Advances in Adaptive Computation
There has been rapid development in the area of adaptive computation over the past decade. The International Conference on Recent Advances in Adaptive Computation was held at Zhejiang University (Hangzhou, China) to explore these new directions. The conference brought together specialists to discuss modern theories and practical applications of adaptive methods. This volume contains articles reflecting the invited talks given by leading mathematicians at the conference. It is suitable for graduate students and researchers interested in methods of computation.
Political Frontiers, Ethnic Boundaries and Human Geographies in Chinese History
The question of boundaries - physical or political - has become fertile ground in the analysis of Chinese history and society. These essays cover the early decades of the Zhou dynasty to the early centuries after the Manchu conquest.
