This book presents in detail the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique.

Particle models play an important role in many applications in physics, chemistry and biology. They can be studied on the computer with the help of molecular dynamics simulations. This book presents in detail both the necessary numerical methods and techniques (linked-cell method, SPME-method, tree codes, multipole technique) and the theoretical background and foundations. It illustrates the aspects modelling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. Furthermore, detailed explanations are given to the different steps of numerical simulation, and code examples are provided. With the description of the algorithms and the presentation of the results of various simulations from the areas material science, nanotechnology, biochemistry and astrophysics, the reader of this book will be able to write his own programs for molecular dynamics step by step and to run successful experiments.

One of the first textbooks in the highly-relevant topic (material science, molecular modelling, drug design, nanotechnology) Includes supplementary material: sn.pub/extras

Autorentext

Michael Griebel received his education at the Technical University of Munich, Germany. He is a professor at the Institute for Numerical Simulation at the University of Bonn, Germany, where he holds the Chair of Scientific Computing and Numerical Simulation. Additionally, he is the director of Fraunhofer SCAI (Institute for Algorithms and Scientific Computing), Sankt Augustin, Germany. His research interests include numerical simulation, scientific computing, machine learning, and high-dimensional approximation. Since 2002, he has served as the Editor-in-Chief of the Springer journal Numerische Mathematik. Peter Oswald received his education at Odessa State University and Moscow State University. He has held research, teaching, and professorship positions at various institutions, including TU Dresden, FSU Jena, Kuwait University, Texas A&M University, Bell Laboratories, Jacobs University Bremen, and the University of Bonn. His research interests include approximation theory, function spaces, and numerical analysis.

Inhalt
Computer Simulation a Key Technology.- From the Schrödinger Equation to Molecular Dynamics.- The Linked Cell Method for Short-Range Potentials.- Parallelization.- Extensions to More Complex Potentials and Molecules.- Time Integration Methods.- Mesh-Based Methods for Long-Range Potentials.- Tree Algorithms for Long-Range Potentials.- Applications from Biochemistry and Biophysics.- Prospects.