Methods of Nonlinear Analysis

Seismic hazard and risk analyses underpin the loadings prescribed by engineering design codes, the decisions by asset owners to retrofit structures, the pricing of insurance policies, and many other activities. This is a comprehensive overview of the principles and procedures behind seismic hazard and risk analysis. It enables readers to understand best practises and future research directions. Early chapters cover the essential elements and concepts of seismic hazard and risk analysis, while later chapters shift focus to more advanced topics. Each chapter includes worked examples and problem sets for which full solutions are provided online. Appendices provide relevant background in probability and statistics. Computer codes are also available online to help replicate specific calculations and demonstrate the implementation of various methods. This is a valuable reference for upper level students and practitioners in civil engineering, and earth scientists interested in engineering se

Corpus linguistics continues to be a vibrant methodology applied across highly diverse fields of research in the language sciences. With the current steep rise in corpus sizes, computational power, statistical literacy and multi-purpose software tools, and inspired by neighbouring disciplines, approaches have diversified to an extent that calls for an intensification of the accompanying critical debate. Bringing together a team of leading experts, this book follows a unique design, comparing advanced methods and approaches current in corpus linguistics, to stimulate reflective evaluation and discussion. Each chapter explores the strengths and weaknesses of different datasets and techniques, presenting a case study and allowing readers to gauge methodological options in practice. Contributions also provide suggestions for further reading, and data and analysis scripts are included in an online appendix. This is an important and timely volume, and will be essential reading for any lingui

What are the models used in phylogenetic analysis and what exactly is involved in Bayesian evolutionary analysis using Markov chain Monte Carlo (MCMC) methods? How can you choose and apply these models, which parameterisations and priors make sense, and how can you diagnose Bayesian MCMC when things go wrong? These are just a few of the questions answered in this comprehensive overview of Bayesian approaches to phylogenetics. This practical guide: • Addresses the theoretical aspects of the field • Advises on how to prepare and perform phylogenetic analysis • Helps with interpreting analyses and visualisation of phylogenies • Describes the software architecture • Helps developing BEAST 2.2 extensions to allow these models to be extended further. With an accompanying website providing example files and tutorials (http://beast2.org/), this one-stop reference to applying the latest phylogenetic models in BEAST 2 will provide essential guidance for all users – from those using phylogeneti

Statistical Methods for Reliability Data, Second Edition (SMRD2) is an essential guide to the most widely used and recently developed statistical methods for reliability data analysis and reliability test planning. Written by three experts in the area, SMRD2 updates and extends the long- established statistical techniques and shows how to apply powerful graphical, numerical, and simulation-based methods to a range of applications in reliability. SMRD2 is a comprehensive resource that describes maximum likelihood and Bayesian methods for solving practical problems that arise in product reliability and similar areas of application. SMRD2 illustrates methods with numerous applications and all the data sets are available on the book’s website. Also, SMRD2 contains an extensive collection of exercises that will enhance its use as a course textbook.The SMRD2's website contains valuable resources, including R packages, Stan model codes, presentation slides, technical notes, information about

Finite Element Plasticity and Metalforming Analysis is concerned with describing a computer based technique for aiding the optimisation of metalforming processes. These methods should enable tool and product designers to reduce development lead times for the introduction of new products, to optimise the process and to help improve the quality and reliability of products. The book is specifically devoted to the finite element method and its use in plasticity problems. It details the theoretical background assuming little previous knowledge, and describes how it can be implemented and used to examine realistic metalforming processes. Forging, rolling and extrusion are typical processes covered, in addition to specific problems such as ductile fracture and how it can be predicted. It is the first text that describes in detail elastic-plastic finite-element theory and how it is used in forming analyses. The technique described can be used to simulate metal flow in 2- and 3-D problems and c

Infrared and Raman Spectroscopy (J. Durig and J. Sullivan). Diffuse X-ray Scattering (R. Scaringe and R. Comes). Atomic Spectrometric Methods (Winefordner and M. Epstein). Neutron Activation Analysis

This study introduces 'time-specific' analysis of economic processes. Economic processes are conventionally analysed from one point in time to another over a series of time units - days, weeks, or years. By contrast, these time-specific models focus on the temporal character of events within the unit time - their timing, duration, and sequence - utilizing the information that is lost in the macroscopic time perspective of standard economic theory. What time-specific analysis reveals are economic and technological characteristics of goods and services - prices and cost behaviour and temporal mobility or immobility within the unit time - that affect capital productivity and its utilization, optimal schedules of production, work, and consumption, least-cost methods of producing time-shaped outputs, and efficient welfare-maximizing behavior in time-specific, including peak-load, markets.

These volumes contain a collection of essays by many of the closest co-workers of Raphael Høegh-Krohn, 1938–88, one of the outstanding mathematical physicists of our age. The contributions vary in style, purpose and content - some are surveys where leading experts sum up and clarify a subject area, others are new and adventurous expeditions into unknown territory. The topics cover most aspects of modern mathematical physics with special emphasis on methods from operator theory and stochastic analysis. Many of the papers are based on talks given at a symposium in honour of Høegh-Krohn at the University of Oslo; however the final volumes are far more than proceedings and great care has been taken to attract contributions from the leading researchers.

With over half of the world's population now living in urban areas, the ability to model and understand the structure and dynamics of cities is becoming increasingly valuable. Combining new data with tools and concepts from statistical physics and urban economics, this book presents a modern and interdisciplinary perspective on cities and urban systems. Both empirical observations and theoretical approaches are critically reviewed, with particular emphasis placed on derivations of classical models and results, along with analysis of their limits and validity. Key aspects of cities are thoroughly analyzed, including mobility patterns, the impact of multimodality, the coupling between different transportation modes, the evolution of infrastructure networks, spatial and social organisation, and interactions between cities. Drawing upon knowledge and methods from areas of mathematics, physics, economics and geography, the resulting quantitative description of cities will be of interest to

Backscattered Scanning Electron Microscopy (BSE) reveals the minerals, textures, and fabrics of sediments and rocks in much greater detail than is possible with conventional optical microscopy. Backscattered Scanning Electron Microscopy provides a concise summary of the BSE technique. This comprehensive guide uses abundant images to illustrate the type of information BSE yields and the application of the technique to the study of sediments and sedimentary rocks. The authors review the use of this petrographic technique on all the major sedimentary rock types, including sediment grains, sandstones, shales, carbonate rocks, rock varnish, and glauconite. They also describe image analysis techniques that allow quantification of backscattered scanning electron microscope images and illustrate the potential applications of these methods. Heavily illustrated and lucidly written, this book will provide researchers and graduate students with the most current research on this important geologica

Backscattered Scanning Electron Microscopy (BSE) reveals the minerals, textures, and fabrics of sediments and rocks in much greater detail than is possible with conventional optical microscopy. Backscattered Scanning Electron Microscopy provides a concise summary of the BSE technique. This comprehensive guide uses abundant images to illustrate the type of information BSE yields and the application of the technique to the study of sediments and sedimentary rocks. The authors review the use of this petrographic technique on all the major sedimentary rock types, including sediment grains, sandstones, shales, carbonate rocks, rock varnish, and glauconite. They also describe image analysis techniques that allow quantification of backscattered scanning electron microscope images and illustrate the potential applications of these methods. Heavily illustrated and lucidly written, this book will provide researchers and graduate students with the most current research on this important geologica

This volume of Methods in Enzymology is the?second of 3 parts looking at current methodology for the imaging and spectroscopic analysis of live cells. The chapters provide hints and tricks not availab

Dialogue in the Book of Signs offers a polyvalent analysis of John 1:19-12:50 at the micro-, meso-, and macro-levels. With the help of several synchronic methods, including genre, narrative, rhetorica

Is the British press prejudiced against Muslims? In what ways can prejudice be explicit or subtle? This book uses a detailed analysis of over 140 million words of newspaper articles on Muslims and Islam, combining corpus linguistics and discourse analysis methods to produce an objective picture of media attitudes. The authors analyse representations around frequently cited topics such as Muslim women who wear the veil and 'hate preachers'. The analysis is self-reflexive and multidisciplinary, incorporating research on journalistic practices, readership patterns and attitude surveys to answer questions which include: what do journalists mean when they use phrases like 'devout Muslim' and how did the 9/11 and 7/7 attacks affect press reporting? This is a stimulating and unique book for those working in fields of discourse analysis and corpus linguistics, while clear explanations of linguistic terminology make it valuable to those in the fields of politics, media studies, journalism and I

As a sequel to his book on centrifugal compressor aerodynamics published in 2000, Aungier shifts his focus to aerodynamic design and analysis methods for axial-flow compressors and adopts the classica

This book describes the theory of all the methods of static and dynamic analyses, be they linear or nonlinear, both materially and geometrically. The book is intended to give the reader a sound apprec

This volume highlights recent developments of stochastic analysis with a wide spectrum of applications, including stochastic differential equations, stochastic geometry, and nonlinear partial differen

The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization.

The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization.

This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. The key topics include operators as "sum

The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.

An overview of the basic concepts, methods and applications of nonlinear low-dimensional solid state physics based on the Frenkel--Kontorova model and its generalizations. The book covers many importa

This book constitutes the thoroughly refereed post-conference proceedings of the 4th IFIP WG 13.6 Working Conference on Human Work Interaction Design, HWID 2015, held in London, UK, in June 2015. The

The author has achieved the breakthrough of generalizing the First-Order Theory presented in his previous books, to the efficient computations of arbitrarily high-order sensitivities for nonlinear sys

Lie group analysis, based on symmetry and invariance principles, is the only systematic method for solving nonlinear differential equations analytically. One of Lie's striking achievements was the dis

This book presents the basics of linear and nonlinear optimization analysis for both single and multi-objective problems in hydrosystem engineering. The book includes several examples with various le

This book presents a comprehensive evaluation of the likely economic impact upon the UK economy arising from Brexit. It seeks to assess both the methods adopted, and conclusions reached, by the existi

In a critical analysis of textbooks on English as a foreign language, Summer investigates whether the conceptual design of current textbooks and the methodological options employed comply with importa

This book describes various methods of analysis for ascertaining the effects of agglomeration economies, which are important for formulating regional economic policies. Specifically, it describes new

The book introduces bioinformatic and statistical methodology and shows approaches to bias correction and error estimation. It also presents quantitative methods for genome and proteome analysis.

This book describes structural analysis methods for examining energy demand and energy efficiency that are important in formulating regional economic and environmental policies. Beginning with ways of

Electronic literature is a rapidly growing area of creative production and scholarly interest. It is inherently multimedial and multimodal, and thus demands multiple critical methods of interpretation

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension

The editors present readers with a collection of academic and professional contributions on emerging and contemporary methods and research in the systemic and strategic planning of energy usage. The n

This book analyzes the productivity and effectiveness of a variety of time investments in education. It explores the methods used in education to optimize the time that students are exposed to learnin

The second edition of this standard text guides biomedical researchers in the selection and use of advanced statistical methods and the presentation of results to clinical colleagues. It assumes no knowledge of mathematics beyond high school level and is accessible to anyone with an introductory background in statistics. The Stata statistical software package is again used to perform the analyses, this time employing the much improved version 10 with its intuitive point and click as well as character-based commands. Topics covered include linear, logistic and Poisson regression, survival analysis, fixed-effects analysis of variance, and repeated-measure analysis of variance. Restricted cubic splines are used to model non-linear relationships. Each method is introduced in its simplest form and then extended to cover more complex situations. An appendix will help the reader select the most appropriate statistical methods for their data. The text makes extensive use of real data sets avai

The second edition of this standard text guides biomedical researchers in the selection and use of advanced statistical methods and the presentation of results to clinical colleagues. It assumes no knowledge of mathematics beyond high school level and is accessible to anyone with an introductory background in statistics. The Stata statistical software package is again used to perform the analyses, this time employing the much improved version 10 with its intuitive point and click as well as character-based commands. Topics covered include linear, logistic and Poisson regression, survival analysis, fixed-effects analysis of variance, and repeated-measure analysis of variance. Restricted cubic splines are used to model non-linear relationships. Each method is introduced in its simplest form and then extended to cover more complex situations. An appendix will help the reader select the most appropriate statistical methods for their data. The text makes extensive use of real data sets avai

Integrating a discussion of the application of quantitative methods with practical examples, this book explains the philosophy of the new quantitative methodologies and contrasts them with the methods

A concise summary of the statistical methods used in the analysis of survival data with censoring. Emphasizes recently developed nonparametric techniques. Outlines methods in detail and illustrates th

There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields.