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| Author | : Ralf Hannemann-Tamás |
| Publisher | : |
| Total Pages | : 213 |
| Release | : 2013-01-28 |
| Genre | : |
| ISBN | : 9783844016352 |
| Author | : Y. Cao |
| Publisher | : |
| Total Pages | : 8 |
| Release | : 2005 |
| Genre | : |
| ISBN | : |
Sensitivity analysis generates essential information for model development, design optimization, parameter estimation, optimal control, model reduction and experimental design. In this paper we describe the forward and adjoint methods for sensitivity analysis, and outline some of our recent work on theory, algorithms and software for sensitivity analysis of differential-algebraic equation (DAE) and time-dependent partial differential equation (PDE) systems.
| Author | : Achim Ilchmann |
| Publisher | : Springer |
| Total Pages | : 343 |
| Release | : 2014-12-04 |
| Genre | : Mathematics |
| ISBN | : 3319110500 |
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Observers for DAEs - DAEs in chemical processes - Optimal control of DAEs - DAEs from a functional-analytic viewpoint - Algebraic methods for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
| Author | : Matthias Gerdts |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 484 |
| Release | : 2023-11-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3110797895 |
| Author | : Fabio Ancona |
| Publisher | : World Scientific |
| Total Pages | : 377 |
| Release | : 2008-07-08 |
| Genre | : Mathematics |
| ISBN | : 9814472522 |
The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
| Author | : Dan G. Cacuci |
| Publisher | : CRC Press |
| Total Pages | : 186 |
| Release | : 2003-05-28 |
| Genre | : Mathematics |
| ISBN | : 1135442975 |
As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own right. While most techniques used for these analyses are well documented, there has yet to appear a systematic treatment of the method based on adjoint operators, which is applicable to a much wider variety of problems than methods traditionally used in control theory. This book fills that gap, focusing on the mathematical underpinnings of the Adjoint Sensitivity Analysis Procedure (ASAP) and the use of deterministically obtained sensitivities for subsequent uncertainty analysis.
| Author | : Achim Ilchmann |
| Publisher | : Springer |
| Total Pages | : 312 |
| Release | : 2017-03-08 |
| Genre | : Mathematics |
| ISBN | : 3319466186 |
The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - History of DAEs - DAE aspects of mechanical multibody systems - Model reduction of DAEs - Observability for DAEs - Numerical Analysis for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
| Author | : Nicolae H. Pavel |
| Publisher | : CRC Press |
| Total Pages | : 356 |
| Release | : 2020-08-19 |
| Genre | : Mathematics |
| ISBN | : 1000153770 |
"Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques!"
| Author | : Roland Griesse |
| Publisher | : |
| Total Pages | : 194 |
| Release | : 2003 |
| Genre | : |
| ISBN | : |
| Author | : Emmanuel Laporte |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 242 |
| Release | : 2002-12-13 |
| Genre | : Mathematics |
| ISBN | : 9780817643225 |
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.
