Leimkuhler (U. of Leicester) and Reich (Imperial College, London) present a textbook on using and developing geometric integrators for a course in computational mechanics, a tool for self-instruction, and a basic reference for researchers and educators in a number of scientific disciplines. They focus on which properties should be fundamental to an integration method for a conservative model, and how to design and implement schemes that respect physical principles regardless of timestep or traditional accuracy questions. Chapter-end exercises are included. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)
A complete theoretical framework and guide to numerical geometric integration techniques. Includes examples and exercises.
The simulation of matter by direct computation of individual atomic motions has become an important element in the design of new drugs and in the construction of new materials. This book demonstrates how to implement the numerical techniques needed for such simulation, thereby aiding the design of new, faster, and more robust solution schemes. Clear explanations and many examples and exercises will ensure the value of this text for students, professionals, and researchers.
