Partial Differential Equations Theory Control And Approximation

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Partial Differential Equations: Theory, Control and Approximation

Philippe G. Ciarlet,Tatsien Li,Yvon Maday
Partial Differential Equations Theory Control and Approximation Book PDF

Author : Philippe G. Ciarlet,Tatsien Li,Yvon Maday
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 42,5 Mb
Release : 2013-11-29
Category : Mathematics
ISBN : 9783642414015

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Partial Differential Equations: Theory, Control and Approximation by Philippe G. Ciarlet,Tatsien Li,Yvon Maday Pdf

This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June 1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions. The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc., and their papers cover key fields of research, e.g. partial differential equations, control theory and numerical analysis, that Jacques-Louis Lions created or contributed so much to establishing.

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Irena Lasiecka,Roberto Triggiani
Control Theory for Partial Differential Equations Volume 1 Abstract Parabolic Systems Book PDF

Author : Irena Lasiecka,Roberto Triggiani
Publisher : Cambridge University Press
Page : 678 pages
File Size : 49,9 Mb
Release : 2000-02-13
Category : Mathematics
ISBN : 0521434084

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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems by Irena Lasiecka,Roberto Triggiani Pdf

First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.

Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon

Irena Lasiecka,Roberto Triggiani
Control Theory for Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over a Finite Time Horizon Book PDF

Author : Irena Lasiecka,Roberto Triggiani
Publisher : Unknown
Page : 452 pages
File Size : 44,8 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1107089018

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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon by Irena Lasiecka,Roberto Triggiani Pdf

Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.

Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon

Irena Lasiecka,Roberto Triggiani
Control Theory for Partial Differential Equations Volume 2 Abstract Hyperbolic like Systems Over a Finite Time Horizon Book PDF

Author : Irena Lasiecka,Roberto Triggiani
Publisher : Cambridge University Press
Page : 458 pages
File Size : 49,7 Mb
Release : 2000-02-13
Category : Mathematics
ISBN : 0521584019

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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon by Irena Lasiecka,Roberto Triggiani Pdf

Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.

Optimal Control of Partial Differential Equations

Andrea Manzoni,Alfio Quarteroni,Sandro Salsa
Optimal Control of Partial Differential Equations Book PDF

Author : Andrea Manzoni,Alfio Quarteroni,Sandro Salsa
Publisher : Springer Nature
Page : 507 pages
File Size : 49,6 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 9783030772260

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Optimal Control of Partial Differential Equations by Andrea Manzoni,Alfio Quarteroni,Sandro Salsa Pdf

This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.

Partial Differential Equations

J. Necas
Partial Differential Equations Book PDF

Author : J. Necas
Publisher : Routledge
Page : 188 pages
File Size : 44,9 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9781351425865

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Partial Differential Equations by J. Necas Pdf

As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging directions and recent developments in partial differential equations (PDEs). This volume comprises the Proceedings of that conference. In it, leading specialists in partial differential equations, calculus of variations, and numerical analysis present up-to-date results, applications, and advances in numerical methods in their fields. Conference organizers chose the contributors to bring together the scientists best able to present a complex view of problems, starting from the modeling, passing through the mathematical treatment, and ending with numerical realization. The applications discussed include fluid dynamics, semiconductor technology, image analysis, motion analysis, and optimal control. The importance and quantity of research carried out around the world in this field makes it imperative for researchers, applied mathematicians, physicists and engineers to keep up with the latest developments. With its panel of international contributors and survey of the recent ramifications of theory, applications, and numerical methods, Partial Differential Equations: Theory and Numerical Solution provides a convenient means to that end.

Partial Differential Equations

George F. Carrier,Carl E. Pearson
Partial Differential Equations Book PDF

Author : George F. Carrier,Carl E. Pearson
Publisher : Academic Press
Page : 333 pages
File Size : 43,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483259161

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Partial Differential Equations by George F. Carrier,Carl E. Pearson Pdf

Partial Differential Equations: Theory and Technique provides formal definitions, notational conventions, and a systematic discussion of partial differential equations. The text emphasizes the acquisition of practical technique in the use of partial differential equations. The book contains discussions on classical second-order equations of diffusion, wave motion, first-order linear and quasi-linear equations, and potential theory. Certain chapters elaborate Green's functions, eigenvalue problems, practical approximation techniques, perturbations (regular and singular), difference equations, and numerical methods. Students of mathematics will find the book very useful.

Optimal Control Problems for Partial Differential Equations on Reticulated Domains

Peter I. Kogut,Günter R. Leugering
Optimal Control Problems for Partial Differential Equations on Reticulated Domains Book PDF

Author : Peter I. Kogut,Günter R. Leugering
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 49,6 Mb
Release : 2011-09-09
Category : Science
ISBN : 9780817681494

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Optimal Control Problems for Partial Differential Equations on Reticulated Domains by Peter I. Kogut,Günter R. Leugering Pdf

In the development of optimal control, the complexity of the systems to which it is applied has increased significantly, becoming an issue in scientific computing. In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. Moving from abstract explanations to examples and applications with a focus on structural network problems, they aim at combining techniques of homogenization and approximation. Optimal Control Problems for Partial Differential Equations on Reticulated Domains is an excellent reference tool for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains.

Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon

Irena Lasiecka,Roberto Triggiani
Control Theory for Partial Differential Equations Volume 2 Abstract Hyperbolic Like Systems Over a Finite Time Horizon Book PDF

Author : Irena Lasiecka,Roberto Triggiani
Publisher : Unknown
Page : 128 pages
File Size : 49,7 Mb
Release : 2014-02-20
Category : Electronic
ISBN : 1299748929

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Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-Like Systems Over a Finite Time Horizon by Irena Lasiecka,Roberto Triggiani Pdf

Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.

Nonlinear Partial Differential Equations and Their Applications

Doina Cioranescu,Jaques-Louis Lions
Nonlinear Partial Differential Equations and Their Applications Book PDF

Author : Doina Cioranescu,Jaques-Louis Lions
Publisher : Elsevier
Page : 665 pages
File Size : 53,7 Mb
Release : 2002-06-21
Category : Mathematics
ISBN : 9780080537672

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Nonlinear Partial Differential Equations and Their Applications by Doina Cioranescu,Jaques-Louis Lions Pdf

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.

Control Theory of Systems Governed by Partial Differential Equations

A.K. Aziz,J.W. Wingate,M.J. Balas
Control Theory of Systems Governed by Partial Differential Equations Book PDF

Author : A.K. Aziz,J.W. Wingate,M.J. Balas
Publisher : Academic Press
Page : 289 pages
File Size : 43,8 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483216300

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Control Theory of Systems Governed by Partial Differential Equations by A.K. Aziz,J.W. Wingate,M.J. Balas Pdf

Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the 1976 Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland. The purpose of this conference is to examine the control theory of partial differential equations and its application. This text is divided into five chapters that primarily focus on tutorial lecture series on the theory of optimal control of distributed systems. It describes the many manifestations of the theory and its applications appearing in the other chapters. This work also presents the principles of the duality and asymptotic methods in control theory, including the variational principle for the heat equation. A chapter highlights systems that are not of the linear quadratic type. This chapter also explores the control of free surfaces and the geometrical control variables. The last chapter provides a summary of the features and applications of the numerical approximation of problems of optimal control. This book will prove useful to mathematicians, engineers, and researchers.

Control And Inverse Problems For Partial Differential Equations

Bao Gang,Coron Jean-michel,Li Ta-tsien
Control And Inverse Problems For Partial Differential Equations Book PDF

Author : Bao Gang,Coron Jean-michel,Li Ta-tsien
Publisher : World Scientific
Page : 264 pages
File Size : 50,7 Mb
Release : 2019-04-08
Category : Mathematics
ISBN : 9789813276161

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Control And Inverse Problems For Partial Differential Equations by Bao Gang,Coron Jean-michel,Li Ta-tsien Pdf

This book is a collection of lecture notes for the LIASFMA Hangzhou Autumn School on 'Control and Inverse Problems for Partial Differential Equations' which was held during October 17-22, 2016 at Zhejiang University, Hangzhou, China. This autumn school is one of the activities organized by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA). Established jointly by eight institutions in China and France in 2014, LIASFMA aims at providing a platform for many leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in broad areas of applied mathematics.The book provides the readers with a unique and valuable opportunity to learn from and communicate with leading experts in control and inverse problems. And the readers are exposed not only to the basic theories and methods but also to the forefront of research directions in both fields.

Control Theory for Partial Differential Equations

Irena Lasiecka,Roberto Triggiani
Control Theory for Partial Differential Equations Book PDF

Author : Irena Lasiecka,Roberto Triggiani
Publisher : Unknown
Page : 128 pages
File Size : 44,8 Mb
Release : 2013-08-13
Category : Electronic
ISBN : 1299749216

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Control Theory for Partial Differential Equations by Irena Lasiecka,Roberto Triggiani Pdf

First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.

Optimal Control of Partial Differential Equations

Fredi Tröltzsch
Optimal Control of Partial Differential Equations Book PDF

Author : Fredi Tröltzsch
Publisher : American Mathematical Society
Page : 417 pages
File Size : 40,7 Mb
Release : 2024-03-21
Category : Mathematics
ISBN : 9781470476441

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Optimal Control of Partial Differential Equations by Fredi Tröltzsch Pdf

Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tröltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization.

partial differential equation methods in control and shape analysis

Giuseppe Da Prato,Jean-Paul Zolesio
partial differential equation methods in control and shape analysis Book PDF

Author : Giuseppe Da Prato,Jean-Paul Zolesio
Publisher : CRC Press
Page : 354 pages
File Size : 44,6 Mb
Release : 1997-02-20
Category : Mathematics
ISBN : 0824798376

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partial differential equation methods in control and shape analysis by Giuseppe Da Prato,Jean-Paul Zolesio Pdf

"Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines."