Sensitivity Analysis of Differential-Algebraic Equations and Partial Differential Equations

Sensitivity Analysis of Differential-Algebraic Equations and Partial Differential Equations PDF

Author: Y. Cao

Publisher:

Published: 2005

Total Pages: 8

ISBN-13:

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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.

Surveys in Differential-Algebraic Equations II

Surveys in Differential-Algebraic Equations II PDF

Author: Achim Ilchmann

Publisher: Springer

Published: 2014-12-04

Total Pages: 343

ISBN-13: 3319110500

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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.

Sensitivity & Uncertainty Analysis, Volume 1

Sensitivity & Uncertainty Analysis, Volume 1 PDF

Author: Dan G. Cacuci

Publisher: CRC Press

Published: 2003-05-28

Total Pages: 186

ISBN-13: 1135442975

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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.

Surveys in Differential-Algebraic Equations IV

Surveys in Differential-Algebraic Equations IV PDF

Author: Achim Ilchmann

Publisher: Springer

Published: 2017-03-08

Total Pages: 312

ISBN-13: 3319466186

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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.

Optimal Control of Differential Equations

Optimal Control of Differential Equations PDF

Author: Nicolae H. Pavel

Publisher: CRC Press

Published: 2020-08-19

Total Pages: 356

ISBN-13: 1000153770

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"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!"