In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems.
However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering:
"The book includes detailed descriptions of trending materials modeling methods such as concurrent multiscale methods and molecular dynamics methods. The authors explain well how these methods can be used to model materials at very fine scales and improve predictions compared to conventional approaches. The description contains enough numerical implementation details to allow students, engineers and researchers interested in high fidelity materials modeling to try the methods presented in the book."
-- Wing Kam Liu, Northwestern University, USA
"This is a one-of-a-kind book and good for numerical methods to solve problems in mechanics of materials, from the nanoscale to the macroscale."
-- Shaofan Li, University of California, Berkeley, USA
"The book would be of greatest use for practicing engineers or graduate students in mechanical engineering, applied mechanics, applied physics, materials science, and related fields."
--J. Lambropoulos, University of Rochester in Choice Connect
The Role of Numerical Methods in Engineering. Numerical Analysis and Weighted Residuals. Finite Difference Methods. The Finite Element Method. Specialized Methods. The Boundary Element Method. Meshless Methods of Analysis. Multiphysics in Molecular Dynamics Simulation. Multiscale Modeling from Atoms to Genuine Continuum.