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Books by Jacques Louis Lions






Some Methods in the Mathematical Analysis of Systems and Their Control(1st Edition)
by Jacques Louis Lions
Hardcover, 542 Pages, Published 1981 by Routledge
ISBN-13: 978-0-677-60200-4, ISBN: 0-677-60200-6

"CHAPTER ASYMPTOTIC METHODS IN PERIODIC STRUCTURES. Composite materials - The problem of homogenization In this section we set, in a precise manner, ..."






Some Aspects of the Optimal Control of Distributed Parameter Systems
(CBMS-NSF Regional Conference Series in Applied Mathematics)
by J.-L. Lions
Paperback, 98 Pages, Published 1987 by Society For Industrial And Applied Mathematics
ISBN-13: 978-0-89871-004-5, ISBN: 0-89871-004-9

"[2] Quelques Méthodes de Résolution des Problèmes aux Limites non Lineaires, Dunod, Gauthier Villars, Paris, 1969. (English translation by Le Van, Holt, Rinehart, and Winston, New York, 1972.) - [3] Sur le contrôle optimal de systèmes décrits par des équations aux dérivees partielles lineaires. (I) Equations elliptiques, (II) Equations d'évolution, C.R. Acad. Sci. Paris, 263 (1966), pp. 713– 715; 776–779. [4] Optimisation pour certa ..."






Optimal Control of Systems Governed by Partial Differential Equations
(Grundelhren Der Mathematishen Wissenschaften : Vol 170)
by Jacques Louis Lions, S. K. Mitter
Hardcover, 275 Pages, Published 1971 by Springer-Verlag
ISBN-13: 978-0-387-05115-4, ISBN: 0-387-05115-5

"1. The development of a theory of optimal control (deterministic) requires the following initial data: (i) a control u belonging to some set ilIi ad (the set of 'admissible controls') which is at our disposition, (ii) for a given control u, the state y(u) of the system which is to be controlled is given by the solution of an equation (*) Ay(u)=given function ofu where A is an operator (assumed known) which specifies the system to be con ..."






The Method of Quasi-reversibility
(Modern analytic and computational methods in science and mathematics)
by Jacques Louis Lions, Robert Lattes, R. Bellman, Robert Lattáes
Hardcover, 389 Pages, Published 1969 by Elsevier Science Ltd
ISBN-13: 978-0-444-00057-6, ISBN: 0-444-00057-7

"Book by Lattes Robert Lions J L"






Nonlinear Partial Differential Equations and Their Applications(1st Edition)
Collge de France Seminar Volume XVIII (Chapman & Hall/CRC Research Notes in Mathematics Series) (Vol.13)
by Doina Cioranescu, Jacques-Louis Lions, D. Cioranescu
Hardcover, 352 Pages, Published 1998 by Crc Press
ISBN-13: 978-0-582-36926-9, ISBN: 0-582-36926-6

"This book presents the texts of selected lectures on recent work in the field of nonlinear partial differential equations delivered by leading international experts at the well-established weekly seminar held at the Collège de France. Emphasis is on applications to numerous areas, including control theory, theoretical physics, fluid and continuum mechanics, free boundary problems, dynamical systems, scientific computing, numerical anal ..."






Analysis and Optimization of Systems, Part 1
by Alain Bensoussan, Jacques Louis Lions
Paperback, Published 1984 by Springer-Verlag
ISBN-13: 978-0-387-13551-9, ISBN: 0-387-13551-0






Mathematical Analysis and Numerical Methods for Science and Technology
Spectral Theory and Applications
by Robert Dautray, Jacques Louis Lions, M. Artola
Hardcover, 368 Pages, Published 1990 by Springer-Verlag
ISBN-13: 978-0-387-50208-3, ISBN: 0-387-50208-4

"The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge requ ..."






Handbook of Numerical Analysis
Finite Difference Methods, Part 1, Solution Equations in R 1 Part 1
by Philippe G. Ciarlet, Jacques Louis Lions, Gurii I. Marchuk, J. L. Lions
Hardcover, 652 Pages, Published 1990 by North-Holland
ISBN-13: 978-0-444-70366-8, ISBN: 0-444-70366-7

"This series of volumes will cover all the major aspects of Numerical Analysis, serving as the basic reference work on the subject. Each volume will concentrate on one, or two, particular topics and will be essentially self-contained. Each article, written by an expert, is an in-depth survey, reflecting the most recent trends in the field. The Handbook will cover the basic methods of Numerical Analysis, under the following general headin ..."






Selected Papers I
(Mathematical Analysis and Numerical Methods for Science and Technology)
by Robert Dautray, Jacques Louis Lions, Peter Lax, I. N. Sneddon, Peter Sarnak, Andrew J. Majda
Paperback, 640 Pages, Published 2009 by Springer
ISBN-13: 978-0-387-50205-2, ISBN: 0-387-50205-X

"Having this collection of papers in one place allows one to follow the evolution of his ideas and mathematical interests and to appreciate how many of these papers initiated topics that developed lives of their own."






6
Selected Papers II (MATHEMATICAL ANALYSIS AND NUMERICAL METHODS FOR SCIENCE AND TECHNOLOGY)
by Robert Dautray, Jacques Louis Lions, Peter Lax, Peter Sarnak, Andrew J. Majda
Paperback, 616 Pages, Published 2009 by Springer
ISBN-13: 978-0-387-50206-9, ISBN: 0-387-50206-8

"These six volumes--the result of a ten year collaboration between two distinguished international figures--compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. It is a comprehensive and up-to-date publication that presents the mathematical tools needed in appli ..."






Handbook of Numerical Analysis, Volume 8(1st Edition)
Solution of Equations in Rn (Part 4), Techniques of Scientific Computer (Part 4), Numerical Methods for Fluids (Part 2)
by Philippe G. Ciarlet, Jacques Louis Lions
Hardcover, 650 Pages, Published 2002 by Elsevier
ISBN-13: 978-0-444-50906-2, ISBN: 0-444-50906-2

"This series of volumes covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article, written by an expert, is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-contained. The handbook will cover the basic methods of numerical analysis, under the following general headings: solution of e ..."






Exact and Approximate Controllability for Distributed Parameter Systems(1st Edition)
A Numerical Approach (Encyclopedia of Mathematics and its Applications)
by Professor Roland Glowinski, Jacques-Louis Lions, Jiwen He
Hardcover, 470 Pages, Published 2008 by Cambridge University Press
ISBN-13: 978-0-521-88572-0, ISBN: 0-521-88572-8






Techniques of Scientific Computing , Volume 5(1st Edition)
by Philippe G. Ciarlet, Jacques Louis Lions
Hardcover, 828 Pages, Published 1997 by Elsevier Science
ISBN-13: 978-0-444-82278-9, ISBN: 0-444-82278-X

"This series of volumes aims to cover the major aspects of Numerical Analysis, serving as the basic reference work on the subject. Each volume concentrates on one, two, or three, particular topics. Each article, is an in-depth survey, reflecting the most recent trends in the field, and is essentially self-contained. The handbook covers the basic methods of numerical analysis, under the following general headings: solution of equations in ..."






Analysis and Optimization of Systems
State and Frequency Domain Approaches for Infinite-Dimensional Systems : Proceedings of the 10th International (Lecture Notes in Control & Information Sciences)
by Ruth F. Curtain, Alain Benoussan, Jacques Louis Lions
Paperback, 296 Pages, Published 1993 by Springer Verlag
ISBN-13: 978-0-387-56155-4, ISBN: 0-387-56155-2

"This volume contains the proceedings of the conference "state and Frequency Domain Approaches to Infinite-Dimensional Systems". The aim was to bring together engineers and mathematicians working in the field of linear infinite-dimensional systems who are specialists in one or more of the following categories of mathematical approaches: semigroup approches, p.d.e. approaches, frequency domain approaches and syntheses of state-space and f ..."






Mathematical Analysis and Numerical Methods for Science and Technology
Physical Origins and Classical Methods
by Robert Dautray, Jacques Louis Lions, Yanhong Wu
Hardcover, 695 Pages, Published 1991 by Springer-Verlag
ISBN-13: 978-0-387-50207-6, ISBN: 0-387-50207-6

"Book by Dautray Robert Lions Jacques Louis"






Mathematical Analysis and Numerical Methods for Science and Technology
Functional and Variational Methods
by Robert Dautray, Jacques Louis Lions
Hardcover, 465 Pages, Published 1990 by Springer-Verlag
ISBN-13: 978-0-387-19045-7, ISBN: 0-387-19045-7

"These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden de ..."






Variational inequalities and complementarity problems(1st Edition)
Theory and applications
by Richard W. Cottle, F. Giannessi, Jacques Louis Lions, Rw Cottle
Hardcover, 426 Pages, Published 1980 by John Wiley & Sons Ltd
ISBN-13: 978-0-471-27610-4, ISBN: 0-471-27610-3






Inequalities in Mechanics & Physics(1st Edition)
(Grundelhren Der Mathematischen Wissenschaften)
by Jacques Louis Lions, G. Duvaut, G. Duvant
Hardcover, 397 Pages, Published 1976 by Springer Verlag
ISBN-13: 978-0-387-07327-9, ISBN: 0-387-07327-2

"1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem."






Finite Element Methods , Numerical Methods for Solids , Volume 4(1st Edition)
by Philippe G. Ciarlet, Jacques Louis Lions
Hardcover, 984 Pages, Published 1995 by Elsevier Science
ISBN-13: 978-0-444-81794-5, ISBN: 0-444-81794-8

"This series of volumes aims to cover all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume will concentrate on one, two or three particular topics. Each article, written by an expert, is an in-depth survey, reflecting the most recent trends in the field, and is essentially self-contained. The Handbook will cover the basic methods of numerical analysis, under the following general he ..."






Non-Homogeneous Boundary Value Problems and Applications II. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen Band 182
by Enrico Magenes, Jacques Louis Lions
Hardcover, 242 Pages, Published 1972 by Springer
ISBN-13: 978-0-387-05444-5, ISBN: 0-387-05444-8



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