Linear-Scaling Techniques in Computational Chemistry and Physics: Methods and Applications (Challenges and Advances in Computational Chemistry and Physics)

“Linear-Scaling Techniques in Computational Chemistry and Physics” summarizes recent progresses in linear-scaling techniques and their applications in chemistry and physics. In order to meet the needs of a broad community of chemists and physicists, the book focuses on recent advances that extended the scope of possible exploitations of the theory. The first chapter provides an overview of the present state of the linear-scaling methodologies and their applications, outlining hot topics in this field, and pointing to expected developments in the near future. This general introduction is then followed by several review chapters written by experts who substantially contributed to recent developments in this field. The purpose of this book is to review, in a systematic manner, recent developments in linear-scaling methods and their applications in computational chemistry and physics. Great emphasis is put on the theoretical aspects of linear-scaling methods. This book serves as a handbook for theoreticians, who are involved in the development of new efficient computational methods as well as for scientists, who are using the tools of computational chemistry and physics in their research. R. Zalesny is a member of the Molecular Modelling and Quantum Chemistry Group at the Wroclaw University of Technology, Poland.M. Papadopoulos is a Research Director at the Institute of Organic and Pharmaceutical Chemistry, Greece.P. Mezey is the Director of Scientific Modeling and Simulation Laboratory, Memorial University of Newfoundland, Canada.J. Leszczynski is the Director of Nanotoxicity Center at JSU, USA. Including chapters on: Linear scaling second order Mller Plesset perturbation theory.- Divide-and-conquer approaches to quantum chemistry: Theory and implementation.- Mathematical formulation of the fragment molecular orbital method.- Linear scaling for metallic systems by the Korringa-Kohn-Rostoker multiple-scattering method.- Density matrix methods in linear scaling electronic structure theory.- Methods for Hartree-Fock and density functional theory electronic structure calculations with linearly scaling processor time and memory usage.- Some thoughts on the scope of the linear scaling self-consistent field electrnic structure methods.- The linear scaling semiempirical localSCF method and the finite LMO approximation.- Molecular Tailoring: an Art of the Possible for Ab Initio Treatment of Large Molecules and Molecular Clusters.- Local approximations for an efficient treatment of electron correlation and electron excitations in molecules.