WorldCat Identities

Lions, J.-L (Jacques-Louis) 1928-2001

Overview
Works: 469 works in 2,520 publications in 7 languages and 26,190 library holdings
Genres: Conference papers and proceedings  Handbooks and manuals 
Roles: Author, Editor, Director, Honoree, Other, Publishing director, Translator, 956, Opponent, Dedicatee
Classifications: QA402.3, 629.8312
Publication Timeline
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Most widely held works by J.-L Lions
Computing methods in applied sciences and engineering. International symposium, Versailles, December 17-21, 1973 by R Glowinski( Book )

128 editions published between 1956 and 2008 in 7 languages and held by 1,213 WorldCat member libraries worldwide

Numerical algebra; Finite elements; Dynamical problems; Identification and inverse problems; Integral methods
Analysis and optimization of systems by Alain Bensoussan( Book )

82 editions published between 1982 and 2006 in 3 languages and held by 1,073 WorldCat member libraries worldwide

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 frequency domain approaches. Since these approaches use very different sophisticated mathematical techniques, it is unusual for a scientist to be expert in all of them. On the other hand, there different approaches all purport to address the same control problems for the same classes of linear infinite-dimensional systems. It is therefore important to compare and discuss the advantages and disadvantages of these different mathematical techniques. To help ameliorate the communication gab a series of introductory tutorial lectures were given by specialists in the above-mentioned fields. There were complemented by some key survey papers on more recent research, as well as by papers representing original research in these areas
Nonlinear partial differential equations and their applications : Collège de France seminar by Seminar on Applied Mathematics( Book )

154 editions published between 1976 and 2002 in 4 languages and held by 873 WorldCat member libraries worldwide

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
Non-homogeneous boundary value problems and applications by J.-L Lions( Book )

65 editions published between 1968 and 2016 in 3 languages and held by 804 WorldCat member libraries worldwide

I. In this second volume, we continue at first the study of non homogeneous boundary value problems for particular classes of evolu tion equations. 1 In Chapter 4, we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable additional technical difficulties. In Chapter 5, we study hyperbolic operators or operators well defined in thesense of Petrowski or Schroedinger. Our regularity results (step (i)) seem to be new. Steps (ii) and (iii) are all3.logous to those of the parabolic case, except for certain technical differences. In Chapter 6, the results of Chapter'> 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory). Another type of application, to the characterization of "all" well-posed problems for the operators in question, is given in the Ap pendix. Still other applications, for example to numerical analysis, will be given in Volume 3
Optimal control of systems governed by partial differential equations by J.-L Lions( Book )

46 editions published between 1968 and 2012 in 4 languages and held by 774 WorldCat member libraries worldwide

Analyse mathématique et calcul numérique pour les sciences et les techniques by Robert Dautray( Book )

168 editions published between 1900 and 2000 in English and French and held by 766 WorldCat member libraries worldwide

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 der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. 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. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences
Handbook of numerical analysis by Philippe G Ciarlet( Book )

82 editions published between 1989 and 2009 in English and Undetermined and held by 707 WorldCat member libraries worldwide

Text contains essays covering numerical methods for fluids. Topics include the Navier-Stokes equations for incompressible viscous fluids, a family of operator-splitting methods for initial value problems, and iterative solution of the advection-diffusion subproblems. DLC: Numerical analysis
Inequalities in mechanics and physics by G Duvaut( Book )

39 editions published between 1972 and 2016 in 3 languages and held by 659 WorldCat member libraries worldwide

1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary conditions in the form of inequalities u(X, t{raquo}o => au(x, t)/an=O, XEr, (2) u(x, t)=o => au(x, t)/an?:O, XEr, to which is added the initial condition (3) u(x, O)=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem
Mathematical analysis and numerical methods for science and technology by Robert Dautray( Book )

5 editions published in 2000 in English and held by 434 WorldCat member libraries worldwide

Perturbations singulières dans les problèmes aux limites et en contrôle optimal by J.-L Lions( Book )

25 editions published between 1973 and 2008 in 4 languages and held by 433 WorldCat member libraries worldwide

Équations différentielles opérationnelles et problèmes aux limites by J.-L Lions( Book )

21 editions published between 1861 and 1961 in 5 languages and held by 409 WorldCat member libraries worldwide

Asymptotic analysis for periodic structures by Alain Bensoussan( Book )

26 editions published between 1978 and 2011 in English and held by 357 WorldCat member libraries worldwide

This is a reprinting of a book originally published in 1978. At that time it was the first book on the subject of homogenization, which is the asymptotic analysis of partial differential equations with rapidly oscillating coefficients, and as such it sets the stage for what problems to consider and what methods to use, including probabilistic methods. At the time the book was written the use of asymptotic expansions with multiple scales was new, especially their use as a theoretical tool, combined with energy methods and the construction of test functions for analysis with weak convergence met
Computing methods in applied sciences and engineering, 1977, I by R Glowinski( Book )

30 editions published between 1974 and 1979 in English and Undetermined and held by 352 WorldCat member libraries worldwide

Some aspects of the optimal control of distributed parameter systems by J.-L Lions( Book )

20 editions published in 1972 in English and held by 347 WorldCat member libraries worldwide

Annotation
Applications of variational inequalities in stochastic control by Alain Bensoussan( Book )

28 editions published between 1978 and 1988 in English and French and held by 325 WorldCat member libraries worldwide

Applications of Variational Inequalities in Stochastic Control
Control theory, numerical methods, and computer systems modelling : international symposium, Rocquencourt, June 17-21, 1974 by Alain Bensoussan( Book )

18 editions published in 1975 in English and German and held by 316 WorldCat member libraries worldwide

Numerical analysis of variational inequalities by R Glowinski( Book )

19 editions published in 1981 in English and Dutch and held by 270 WorldCat member libraries worldwide

Numerical Analysis of Variational Inequalities
Frontiers in mathematical analysis and numerical methods : in memory of Jacques-Louis Lions by Daqian Li( Book )

12 editions published in 2004 in English and held by 116 WorldCat member libraries worldwide

&Quot;This volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students." "The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc."--BOOK JACKET
Numerical analysis of partial differential equations : lectures given at the Centro internazionale matematico estivo (C.I.M.E.) held in Ispra (Varese), Italy, July 3-11, 1967 by C.I.M.E. Summer School( Book )

11 editions published between 2010 and 2011 in English and Italian and held by 34 WorldCat member libraries worldwide

This volume contains the lectures on numerical analysis of partial differential equations from the Centro internazional matematico estivo (C.I.M.E) held in 1967
Partial differential equations : theory, control and approximation : in honor of the scientific heritage of Jacques-Louis Lions by Philippe G Ciarlet( Book )

3 editions published in 2014 in English and held by 26 WorldCat member libraries worldwide

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
 
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WorldCat IdentitiesRelated Identities
Handbook of numerical analysis
Alternative Names
Jacques-Louis Lions Frans wiskundige (1928-2001)

Jacques-Louis Lions fransk matematikar

Jacques-Louis Lions fransk matematiker

Jacques-Louis Lions französischer Mathematiker

Jacques-Louis Lions French mathematician

Jacques-Louis Lions matemático francés

Jacques-Louis Lions matematico francese

Jacques-Louis Lions mathématicien français

Lions, J. 1928-2001

Lions, J.L.

Lions, J.-L 1928-2001

Lions, J.-L. (Jacques-Louis)

Lions, J.-L. (Jacques-Louis), 1928-2001

Lions, Jacqes 1928-2001

Lions, Jacques

Lions Jacques 1928-2001

Lions, Jacques-L. 1928-2001

Lions, Jacques-Louis

Lions, Jacques-Louis 1928-2001

Lions, Jacques Louis 1930-

Lions, Ž. 1928-2001

Lions, Ž.-L.

Lions, Ž.-L. 1928-2001

Lions, Žak-Lui.

Lions, Žak-Lui 1928-2001

Lions, Zh.-L 1928-2001

Lions, Zh.-L. (Zhak-Lui), 1928-2001

Lions, Zhak-Lui 1928-2001

Жак Луис Лионс французский математик

Лионс, Ж.-Л..

Лионс, Ж.-Л 1928-2001

ジャック=ルイ・リオン

リオン

賈各路易·里翁

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Nonlinear partial differential equations and their applications : Collège de France seminarOptimal control of systems governed by partial differential equationsAnalyse mathématique et calcul numérique pour les sciences et les techniquesHandbook of numerical analysisMathematical analysis and numerical methods for science and technologyPerturbations singulières dans les problèmes aux limites et en contrôle optimalComputing methods in applied sciences and engineering, 1977, ISome aspects of the optimal control of distributed parameter systems