Large-Scale Optimization with Applications

Large-Scale Optimization with Applications PDF Author: Lorenz T. Biegler
Publisher: Springer
ISBN: 9781461273561
Category : Mathematics
Languages : en
Pages : 324

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Book Description
With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

Large-Scale Optimization with Applications

Large-Scale Optimization with Applications PDF Author: Lorenz T. Biegler
Publisher: Springer
ISBN: 9781461273561
Category : Mathematics
Languages : en
Pages : 324

Get Book

Book Description
With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

Large-Scale Optimization with Applications

Large-Scale Optimization with Applications PDF Author: Lorenz T. Biegler
Publisher: Springer
ISBN: 9780387982878
Category : Mathematics
Languages : en
Pages : 0

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Book Description
With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

Large-Scale Optimization with Applications

Large-Scale Optimization with Applications PDF Author: Lorenz T. Biegler
Publisher: Springer Science & Business Media
ISBN: 1461219620
Category : Mathematics
Languages : en
Pages : 219

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Book Description
With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

Large-Scale Optimization with Applications

Large-Scale Optimization with Applications PDF Author:
Publisher: Springer Science & Business Media
ISBN: 9780387982861
Category : Engineering design
Languages : en
Pages : 246

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Book Description


Large-Scale PDE-Constrained Optimization

Large-Scale PDE-Constrained Optimization PDF Author: Lorenz T. Biegler
Publisher: Springer Science & Business Media
ISBN: 364255508X
Category : Mathematics
Languages : en
Pages : 347

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Book Description
Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. With the maturing of technology for PDE simulation, interest has now increased in PDE-based optimization. The chapters in this volume collectively assess the state of the art in PDE-constrained optimization, identify challenges to optimization presented by modern highly parallel PDE simulation codes, and discuss promising algorithmic and software approaches for addressing them. These contributions represent current research of two strong scientific computing communities, in optimization and PDE simulation. This volume merges perspectives in these two different areas and identifies interesting open questions for further research.

Approximation and Optimization

Approximation and Optimization PDF Author: Ioannis C. Demetriou
Publisher: Springer
ISBN: 3030127672
Category : Mathematics
Languages : en
Pages : 237

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Book Description
This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.

Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems PDF Author: Eusebius Doedel
Publisher: Springer Science & Business Media
ISBN: 1461212081
Category : Mathematics
Languages : en
Pages : 482

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Book Description
The Institute for Mathematics and its Applications (IMA) devoted its 1997-1998 program to Emerging Applications of Dynamical Systems. Dynamical systems theory and related numerical algorithms provide powerful tools for studying the solution behavior of differential equations and mappings. In the past 25 years computational methods have been developed for calculating fixed points, limit cycles, and bifurcation points. A remaining challenge is to develop robust methods for calculating more complicated objects, such as higher- codimension bifurcations of fixed points, periodic orbits, and connecting orbits, as well as the calcuation of invariant manifolds. Another challenge is to extend the applicability of algorithms to the very large systems that result from discretizing partial differential equations. Even the calculation of steady states and their linear stability can be prohibitively expensive for large systems (e.g. 10_3- -10_6 equations) if attempted by simple direct methods. Several of the papers in this volume treat computational methods for low and high dimensional systems and, in some cases, their incorporation into software packages. A few papers treat fundamental theoretical problems, including smooth factorization of matrices, self -organized criticality, and unfolding of singular heteroclinic cycles. Other papers treat applications of dynamical systems computations in various scientific fields, such as biology, chemical engineering, fluid mechanics, and mechanical engineering.

Principles of Optimal Design

Principles of Optimal Design PDF Author: Panos Y. Papalambros
Publisher: Cambridge University Press
ISBN: 9780521627276
Category : Mathematics
Languages : en
Pages : 416

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Book Description
Principles of Optimal Design puts the concept of optimal design on a rigorous foundation and demonstrates the intimate relationship between the mathematical model that describes a design and the solution methods that optimize it. Since the first edition was published, computers have become ever more powerful, design engineers are tackling more complex systems, and the term optimization is now routinely used to denote a design process with increased speed and quality. This second edition takes account of these developments and brings the original text thoroughly up to date. The book now includes a discussion of trust region and convex approximation algorithms. A new chapter focuses on how to construct optimal design models. Three new case studies illustrate the creation of optimization models. The final chapter on optimization practice has been expanded to include computation of derivatives, interpretation of algorithmic results, and selection of algorithms and software. Both students and practising engineers will find this book a valuable resource for design project work.

Rational Drug Design

Rational Drug Design PDF Author: Donald G. Truhlar
Publisher: Springer Science & Business Media
ISBN: 1461214807
Category : Mathematics
Languages : en
Pages : 217

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Book Description
Drug research and discovery are of critical importance in human health care. Computational approaches for drug lead discovery and optimization have proven successful in many recent research programs. These methods have grown in their effectiveness not only because of improved understanding of the basic science - the biological events and molecular interactions that define a target for therapeutic intervention - but also because of advances in algorithms, representations, and mathematical procedures for studying such processes. This volume surveys some of those advances. A broad landscape of high-profile topics in computer-assisted molecular design (CAMD) directed to drug design are included. Subject areas represented in the volume include receptor-based applications such as binding energy approximations, molecular docking, and de novo design; non-receptor-based applications such as molecular similarity; molecular dynamics simulations; solvation and partitioning of a solute between aqueous and nonpolar media; graph theory; non-linear multidimensional optimization, processing of information obtained from simulation studies, global optimization and search strategies, and performance enhancement through parallel computing.

Large-Scale Optimization with Applications

Large-Scale Optimization with Applications PDF Author: Lorenz T. Biegler
Publisher: Springer
ISBN: 9781461206941
Category : Mathematics
Languages : en
Pages : 207

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Book Description
With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.