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This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.
This volume is the most up-to-date review on Lattice Gauge Theories and Monte Carlo Simulations. It consists of two parts. Part one is an introductory lecture on the lattice gauge theories in general, Monte Carlo techniques and on the results to date. Part two consists of important original papers in this field. These selected reprints involve the following: Lattice Gauge Theories, General Formalism and Expansion Techniques, Monte Carlo Simulations. Phase Structures, Observables in Pure Gauge Theories, Systems with Bosonic Matter Fields, Simulation of Systems with Fermions.
This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators, Schrödinger, Dirac, and Kortweg-de Vries operators, Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more. The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.
High-Performance Computers (HPC) have initiated a revolutionary develop ment in research and technology since many complex and challenging prob lems in this area can only be solved by HPC and a network in modeling, algo rithms and software. In 1998 the Deutsche Forschungsgemeinschaft (German Research Association) recommended to install an additional Federal High Performance Computer followed by the one in Stuttgart. In January 1999 the Wissenschaftsrat (German Science Council) decided that the Leibniz Rechenzentrum (Computing Center) of the Bavarian Academy of Sciences in Munich should run the second Federal High-Performance Computer in Ger many. The investment cost of this Hochstleistungsre...
Leading-edge research groups in the field of scientific computing present their outstanding projects using the High Performance Computer in Bavaria (HLRB), Hitachi SR8000-F1, one of the top-level supercomputers for academic research in Germany. The projects address modelling and simulation in the disciplines Biosciences, Chemistry, Chemical Physics, Solid-State Physics, High-Energy Physics, Astrophysics, Geophysics, Computational Fluid Dynamics, and Computer Science. The authors describe their scientific background, their resource requirements with respect to top-level supercomputers, and their methods for efficient utilization of the costly high-performance computing power. Contributions of interdisciplinary research projects that have been supported by the Competence Network for Scientific High Performance Computing in Bavaria (KONWIHR) complete the broad range of supercomputer research and applications covered by this volume.
Stochastic Methods in Scientific Computing: From Foundations to Advanced Techniques introduces the reader to advanced concepts in stochastic modelling, rooted in an intuitive yet rigorous presentation of the underlying mathematical concepts. A particular emphasis is placed on illuminating the underpinning Mathematics, and yet have the practical applications in mind. The reader will find valuable insights into topics ranging from Social Sciences and Particle Physics to modern-day Computer Science with Machine Learning and AI in focus. The book also covers recent specialised techniques for notorious issues in the field of stochastic simulations, providing a valuable reference for advanced read...
"Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum Chromodynamics to Electrical and Chemical Engineering, Vision a"
This volume explores the patristic treatment of biblical characters and character. Patristic authors interpret the Bible and use it in the development of their theology and in debates on theological, Christological and ecclesiological issues. The individual contributions deal with the view of the Church Fathers on the person of Moses, with Maximus Confessor's depiction of King Hezekiah, with the interpretation of the texts on the daughters of Zelophehad, with the theological interpretation of the story of Elijah on Mount Horeb, with the spiritual interpretation of the Psalms in Jerome's letters, the significance of the Psalms for the Christological argumentation in Cassiodorus, the interpretation of the Book of Job in various commentaries, the Christological interpretation of the Twelve Prophets and the understanding of the nation angels in John Chrysostom. The volume concludes with a summarising response.