The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion
  • Author : Victor Kowalenko
  • Publisher : Academic Press
  • Release : 19 January 2017
GET THIS BOOK The Partition Method for a Power Series Expansion

The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics. In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the

In Celebration of K C Hines

In Celebration of K C  Hines
  • Author : Bruce H. J. McKellar,Ken Amos
  • Publisher : World Scientific
  • Release : 25 September 2021
GET THIS BOOK In Celebration of K C Hines

This book presents a comprehensive review of a diverse range of subjects in physics written by physicists who have all been taught by or are associated with K C Hines. Ken Hines was a great mentor with far-reaching influence on his students who later went on to make outstanding contributions to physics in their careers. The papers provide significant insights into statistical physics, plasma physics from fluorescent lighting to quantum pair plasmas, cosmic ray physics, nuclear reactions, and many other

The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation

The Stokes Phenomenon  Borel Summation and Mellin Barnes Regularisation
  • Author : Victor Kowalenko
  • Publisher : Bentham Science Publishers
  • Release : 25 September 2021
GET THIS BOOK The Stokes Phenomenon Borel Summation and Mellin Barnes Regularisation

The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions for the regularized values of asymptotic expansions throughout the complex plane. Though different, both yield identical values, which, where possible, agree with the original functions. Consequently, asymptotics has been elevated

Computer Simulation Studies in Condensed Matter Physics XI

Computer Simulation Studies in Condensed Matter Physics XI
  • Author : David P. Landau,Heinz-Bernd Schüttler
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Computer Simulation Studies in Condensed Matter Physics XI

More than a decade ago, because of the phenomenal growth in the power of computer simulations, The University of Georgia formed the first institutional unit devoted to the use of simulations in research and teaching: The Center for Simulational Physics. As the simulations community expanded further, we sensed a need for a meeting place for both experienced simulators and neophytes to discuss new techniques and recent results in an environment which promoted extended discussion. As a consequence, the Center for

Optimal Control

Optimal Control
  • Author : Zoran Gajic,Myo-Taeg Lim,Dobrila Skataric,Wu-Chung Su,Vojislav Kecman
  • Publisher : CRC Press
  • Release : 03 October 2018
GET THIS BOOK Optimal Control

Unique in scope, Optimal Control: Weakly Coupled Systems and Applications provides complete coverage of modern linear, bilinear, and nonlinear optimal control algorithms for both continuous-time and discrete-time weakly coupled systems, using deterministic as well as stochastic formulations. This book presents numerous applications to real world systems from various industries, including aerospace, and discusses the design of subsystem-level optimal filters. Organized into independent chapters for easy access to the material, this text also contains several case studies, examples, exercises, computer assignments,

A Course in Mathematical Methods for Physicists

A Course in Mathematical Methods for Physicists
  • Author : Russell L. Herman
  • Publisher : CRC Press
  • Release : 04 December 2013
GET THIS BOOK A Course in Mathematical Methods for Physicists

Based on the author's junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-u

Quantum Chromodynamics on the Lattice

Quantum Chromodynamics on the Lattice
  • Author : Christof Gattringer,Christian Lang
  • Publisher : Springer Science & Business Media
  • Release : 16 October 2009
GET THIS BOOK Quantum Chromodynamics on the Lattice

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.

Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems

Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
  • Author : Bohdan I Lev,Anatoly G Zagorodny
  • Publisher : World Scientific
  • Release : 18 February 2021
GET THIS BOOK Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems

This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions

Algebraic Methods in Quantum Chemistry and Physics

Algebraic Methods in Quantum Chemistry and Physics
  • Author : Francisco M. Fernandez,E.A. Castro
  • Publisher : CRC Press
  • Release : 16 January 2020
GET THIS BOOK Algebraic Methods in Quantum Chemistry and Physics

Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrödinger equation, and parameterizations of the time-evolution operator. The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

Algebraic and Geometric Ideas in the Theory of Discrete Optimization
  • Author : JesÏs A. De Loera,Raymond Hemmecke,Matthias KÓppe
  • Publisher : SIAM
  • Release : 31 January 2013
GET THIS BOOK Algebraic and Geometric Ideas in the Theory of Discrete Optimization

In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete

Dependability for Systems with a Partitioned State Space

Dependability for Systems with a Partitioned State Space
  • Author : Attila Csenki
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Dependability for Systems with a Partitioned State Space

Probabilistic models of technical systems are studied here whose finite state space is partitioned into two or more subsets. The systems considered are such that each of those subsets of the state space will correspond to a certain performance level of the system. The crudest approach differentiates between 'working' and 'failed' system states only. Another, more sophisticated, approach will differentiate between the various levels of redundancy provided by the system. The dependability characteristics examined here are random variables associated with