Iciam 91

Proceedings -- Computer Arithmetic, Algebra, OOP.

This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.

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.

Environmental protection has become a universal issue with world-wide support. Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and large-scale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The volume is based on recent research designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field.

Contains the 18 invited lectures by and for mathematicians, physicists, engineers, economists, and researchers in other applied sciences. The topics include education in mathematics for industry, macroscopic models of charged-particle transport derived from kinetic theory, hysteresis in phase transformations, mathematical problems in climatology, the moving interface between mathematics and industry, robotics in theory and practice, and pseudospectra of linear operators. No index. Annotation copyrighted by Book News, Inc., Portland, OR

The papers from this conference deal with multi-fluid flows and interfacial instabilities. Papers on multiple-layer convection, wave dynamics in viscous flows, stability of viscoelastic flows, numberical computation of bubbles, and solidification are included.