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A unique combination of both theoretical and practical aspects of data assimilation with examples and exercises for students.
Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.
This book is an expository introduction to the methodology of sensitivity analysis of model output. It is primarily intended for investigators, students and researchers that are familiar with mathematical models but are less familiar with the techniques for performing their sensitivity analysis. A variety of sensitivity methods have been developed over the years. This monograph helps the analyst in her/his first exploration of this world. The main goal is to foster the recognition of the crucial role of sensitivity analysis methods as the techniques that allow us to gain insights from quantitative models. Also, exercising rigor in performing sensitivity analysis becomes increasingly relevant both to decision makers and modelers. The book helps the analyst in structuring her/his sensitivity analysis quest properly, so as to obtain the correct answer to the corresponding managerial question. The first part of the book covers Deterministic Methods, including Tornado Diagrams; One-Way Sensitivity Analysis; Differentiation-Based Methods and Local Sensitivity Analysis with Constraints. The second part looks at Probabilistic Methods, including Regression-Based methods, Variance-Based Methods, and Distribution-Based methods. The final section looks at Applications, including capital budgeting, sensitivity analysis in climate change modelling and in the risk assessment of a lunar space mission.
A risk analysis textbook which is intended as a basic text for students as well as a reference for practitioners and researchers. It provides a basis for policy analysis and draws upon a variety of case studies.
Issues pertaining to urban risks are a pressing concern for those involved in disasters mitigation. Development of effective mitigation strategies requires sound seismic hazard information that is commonly derived through a seismic hazard assessment (SHA). The purpose of SHA is to provide a scientifically consistent estimate of seismic hazard for engineering design and other considerations. The time is ripe to move beyond the old paradigms of the traditional Probabilistic Seismic Hazard Analysis (PSHA). This two-part volume advocates advanced methods for SHA that utilize up to date earthquake science and basic scientific principles to derive the seismic hazard in terms of a ground motion or related quantity and its occurrence frequency at a site, as well as the associated uncertainty. It aims to: (1) identify the issues in the current SHAs, (2) facilitate the development of a scientifically consistent approach for SHA and (3) disseminate, both in scientific and in engineering practice societies, advanced reliable tools for independent hazard estimates, like NDSHA (neo-deterministic SHA), which incorporates physically based ground motion models. It provides a fresh approach to seismic hazard analysis. Part 1 deals with the general issues of SHA methodology review and development, as well as with recent advances in earthquake science that may have relevant implications toward an improved SHA. It is addressed to seismologists, engineers and stake-holders, and aims to contribute to bridging between modern interdisciplinary research and practitioners.