41. OPE-MAT - Historique Translate this page Hector Méray, Charles Napier, John Maclaurin, Colin Mercator, Gerardus Nash,John F. MacMahon, Percy Mercator, Nicolaus navier, claude Magnitsky, Leonty http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

A Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali B Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl

42. Arminjon Paul Arminjon, Marie claude Viallon, Aziz Madrane From LaxFriedrichs to a MultidimensionalFinite Volume Extension of for the Euler and navier-Stokes Equations http://www.crm.umontreal.ca/cgi/qui?arminjon

43. Jean-Frederic GERBEAU CS 2002 prize in scientific computing (with claude Le Bris On the long time behaviourof the solution to the twofluids incompressible navier-Stokes equations http://www-rocq.inria.fr/Jean-Frederic.Gerbeau/

INRIA - Projet BANG Rocquencourt B.P.105 F-78153 Le Chesnay Cedex FRANCE e-mail : Jean-Frederic.Gerbeau@inria.fr phone :+33.1.39.63.57.48 fax : +33.1.39.63.58.82 Background I am a researcher at INRIA, in the BANG project (Prof. Benoit Perthame I was a postdoc assistant (1998-99) of Prof. Alfio Quarteroni . at the (Switzerland) I prepared my PhD thesis (1995-98) under the supervision of Claude Le Bris at the (France) Research activity Research interests Blood flows simulations (fluid-structure interaction, white blood cells filtration, multiscale coupling) Magnetohydrodynamics (MHD) with free surfaces . Aluminium electrolysis. (PhD Thesis [ Postscript Abstract PDF Saint-Venant equations (shallow water) Scientific award CS 2002" prize in scientific computing (with Claude Le Bris and Tony Lelièvre Collaborations MOX , Politecnico di Milano DMA CERMICS Ecole Polytechnique de Tunisie Institut National de la Transfusion Sanguine ( INTS LRF, Aluminium Pechiney Publications J.-F. Gerbeau, N. Glinsky-Olivier, B. Larrouturou, Semi-implicit Roe-type fluxes for low-Mach number flows, Rapport de recherche INRIA RR-3132 J.-F. Gerbeau, C. Le Bris, Existence of solution for a density-dependent magnetohydrodynamic equation

44. Factsheet In 1845 George Stokes introduced general equations, which in the case of an incompressiblefluid reduce to equations already proposed by claude navier in 1822. http://www.cwi.nl/research/2001/Koren_Eng/

CWI fact sheet PDF version UNDERSTANDING FLOWS BY MEANS OF THE COMPUTER When stirring milk in your coffee you usually won't realize that scientifically it is still not quite clear how these two fluids mix together. Flow problems, as in this common example, arise in many industrial settings, e.g., water flow around ship hulls and air flow around airplane wings. Insight into these problems has increased considerably during the last decades, due to the computer in particular. However, many (fundamental) questions remain unsolved. The study of fluid and gas flows by means of the computer (CFD - Computational Fluid Dynamics) is a major research theme at CWI for years. One challenge in the hydrodynamic design of ships is to find the optimal shape of the ship hull satisfying prior requirements of use, economy, safety, etc. Left: Old ship hull. The long waves made by the ship have a high amplitude and, hence, a high energy (provided by the ship). Right: Improved ship hull. Due to CFD the height of the long waves could be strongly reduced.

45. Factsheet George Stokes de algemene vergelijkingen op, die voor het geval van een nietsamendrukbarevloeistof al in 1822 waren gevonden door claude navier, en thans http://www.cwi.nl/research/2001/Koren_Ned/

CWI fact sheet PDF versie STROMINGEN BEGRIJPEN MET BEHULP VAN DE COMPUTER Wie melk door de koffie roert beseft meestal niet dat wetenschappelijk nog steeds niet goed is begrepen hoe de twee vloeistoffen zich Een uitdaging bij het hydrodynamisch ontwerpen van schepen is om die vorm van de scheepsromp te vinden die het best voldoet aan de vooraf gestelde gebruikerseisen, economische eisen, veiligheidseisen, enzovoorts. Linker foto: Oude scheepsromp. De lange golven die het schip maakt zijn hoog, deze bevatten dus veel energie (geleverd door het schip). Rechter foto: Verbeterde scheepsromp. De hoogte van de lange golven is sterk gereduceerd, deze verbetering is gerealiseerd met behulp van CFD. (foto's: MARIN) Tegenwoordig wordt het belang van de stromingsleer voor het technologisch onderzoek overal erkend. Vroeger was het echter voornamelijk een academische aangelegenheid, met resultaten die sterk afweken van de waarnemingen. De praktijk ontwikkelde zich dan ook eerst vrijwel onafhankelijk van de theorie. Theoretische en technologische doorbraken hebben de kloof echter gedicht en er is nu sprake van een vruchtbare wisselwerking tussen theorie en praktijk. Geschiedenis Hoewel Navier-Stokes theoretisch grote vooruitgang bracht, bleek de analytisch-wiskundige oplossing van de complete vergelijkingen te hoog gegrepen. Het gevolg was een fragmentatie in een groot aantal van Navier-Stokes afgeleide, vereenvoudigde verge-

46. USP/SIBi - DEDALUS Translate this page 1840. Completo, 3, 0309917, navier, claude Louis Marie Henri, Resumedes lecons d'analyse. 1856. Completo, 4, 0309890, Cournot, AA 1801-1877. http://dedalus.usp.br:4500/ALEPH/POR/USP/USP/DEDALUS/FIND-ACC/0119931

Formato resumido de 1951 registros - DEDALUS Para visualizar o formato completo de um registro, "clicar" sobre o item. Este link esta em fase de implantação para melhor servi-lo Houel, M. 1833-1886. (Guillaume Jules), Cours de calcul infinitésimal, par J. Hoüel. Navier, M. 1785-1836. (Claude-Louis-Marie-Henri), Résumé des lecons d'analyse données à l'Ecole polytechnique. Navier, Claude Louis Marie Henri Resume des lecons d'analyse / Cournot, A. A. 1801-1877. (Antoine Augustin), Traité élémentaire de la théorie des fonctions et du calcul infinitésimal / Freycinet, Charles de, 1828-1923. De l'analyse infinitésimale étude sur la métaphysique de haut calcul / Lions, Jacques Louis. Equations Differentielles Operationnelles Et Problemes Aux Limites. Sohncke, L. A. L.A. Sohncke's Sammlung Von Aufgaben Aus Der Differential- und Integralrechnung / Serret, J.-A. 1819-1885. (Joseph Alfred), Cours de calcul differentiel et intégral. Sturm, Charles-François, 1803-1855. Cours d'analyse de l'École polytechnique / Catalan, Eugène Charles, 1814-1894.

47. USP/SIBi - DEDALUS Translate this page Completo, 1, 0194191, navier, claude Louis Marie Henri, Resume deslecons d'analyse 1856. Completo, 2, 0309917, navier, claude Louis http://dedalus.usp.br:4500/ALEPH/POR/USP/USP/DEDALUS/FIND-ACC/0133437

Formato resumido de 435 registros - DEDALUS Para visualizar o formato completo de um registro, "clicar" sobre o item. Este link esta em fase de implantação para melhor servi-lo Navier, Claude Louis Marie Henri Resume des lecons d'analyse / Hermite, Charles, 1822-1901. Cours d'analyse de l'École polytechnique / Collignon, Ed. 1831-1897. (Edouard), Cours d'analyse de l'École préparatoire à l'externat de l'École des ponts et chaussées / Collignon, Romain Charles Edouard Cours d'analyse...Complement / Pauly, J. (Jean) Notions élémentaires du calcul différentiel et du calcul intégral / Gilbert, Philippe. Cours d'analyse infinitésimale / Perry, John, 1850-1920. The calculus for engineers / Picard, Emile, 1856-1941. Theorie des fonctions algebriques de deux variables independantes / Borel, Emile, 1871-1956. Leçons sur la théorie des fonctions, Oliveira, Antonio Gomes de Calculo avancado.

48. BNM: Proyectos Translate this page MOIVRE, ABRAHAM. MONGE, GASPARD. MONTE, GUIDOBALDO DEL. N, NAPIER, JOHN. navier,claude. NEUMANN, JOHN VON. NEWTON, ISAAC. NICOMACO DE GERASA. NOETHER, EMMY.O, http://www.bnm.me.gov.ar/s/proyectos/hea/exposiciones/matematicas/aei.php

Catálogos Proyectos Espacio pedagógico Redes ... Biblioteca, Museo y Archivo Dr. R. Levene Mapa del sitio Preguntas frecuentes Novedades Consultas y sugerencias Carta Compromiso con el Ciudadano Tecnología del sitio bbbbbbbbbbb bb La lista de los hombres de ciencia vinculados a las matemáticas y presentada a continuación no es exhaustiva. Usted puede acceder, a través de esta página, a las biografías de algunos de estos hombres como así también a artículos relacionados con sus obras (en español). Estas páginas a las que remitimos no son de autoría de la biblioteca. A menudo los vínculos no remiten a la posición exacta de la biografía o de la referencia dentro de la página, para ello deberá emplear la opción buscar que posea su navegador e indicar allí el nombre buscado. Seleccionar del abecedario...

49. Institut De France - Recherche Translate this page des Sciences morales et politiques (section d'Histoire) NAVEZ (François, Joseph)Académie des Beaux-Arts navier (claude, Louis, Marie, Henry) Académie des http://www.institut-de-france.fr/franqueville/premier_siecle/rech_premier_n.htm

L A B C D ... Z L PAR LE COMTE DE FRANQUEVILLE, MEMBRE DE L'INSTITUT. N Classe des Sciences morales et politiques (section de Morale) NANSEN (Fridtjof) Ac NASSE (Siegfried) NAUCK (Auguste) NAUDET (Joseph) Classe des Sciences morales et politiques (section d'Histoire) NAUDIN (Charles, Victor) (section de Botanique) NAUMANN (Carl, Friedrich) Ac NAVARETTE (Martin, Fernandez de) Ac NAVIER (Claude, Louis, Marie, Henry) NAVILLE (Jules, Ernest) NEUBAUER (Adolph) NEUMANN (Franz, Ernest) NEWCOMB (Simon) des Sciences (section d'Astronomie) NEWMARCK (William) NEWTON (Sir Charles Thomas) Ac NIBBY (Antonio) Ac Classe des Sciences (section de Chimie) des Sciences NICOLINI (Nicolo) NIEBUHR (Karsten) Classe des Sciences morales et politiques Classe Ac Classe Ac Ac NOAILLES (le Duc Paul de) Ac NOBILI (Leopoldo) des Sciences NODIER (Jean, Charles, Emmanuel)

50. Colloque En L'honneur De Jacques-Louis Lions(bottom) Translate this page La seconde étape est d'approcher la limite navier Stokes/Euler en claude Le Bris(CERMICS, École Nationale des Ponts et Chaussées) Questions mathématiques http://www.ann.jussieu.fr/jll70/fr_page.html

Auditorium du CNRS 3 rue Michel Ange, Paris 16e Metro: Michel-Ange Auteuil ou Michel-Ange Molitor ( plan John Ball Emmanuel Grenier Claude Le Bris ... Daniel Tataru Le colloque est organisé avec le soutien de CNES, CNRS, CEA, Ministère de l'Éducation Nationale, de la Recherche et de la Technologie, Ministère des Affaires Étrangères, École Polytechnique, INRIA, Université Pierre et Marie Curie, Université Henri Poincaré - Nancy 1, Fondation Hugot du Collège de France, Académie des Sciences, SMAI, SMF, France Telecom, Arianespace, Dassault Aviation, Dassault Systèmes, Pechiney, SAGEM, European Space Agency, Gaz de France, Groupe Bull, Aérospatiale, CERFACS, Compagnie des Signaux, ESI Group, Groupe Lagardère, Simulog, Compagnie de Saint-Gobain, IFP, ILOG. Il n'y a pas de droits d'inscription mais Institution Adresse Fax e-mail a l'intention de participer au colloque en l'honneur de Jacques-Louis Lions. Programme provisoire Mardi 26 mai Ouverture Andrew Majda (Courant Institute, NYU) Clouds, climate, and modern applied math Daniel Tataru (Northwestern University) Uniqueness and stability for partial differential equations with partially analytic coefficients Emmanuel Grenier Pause Claude Le Bris Numerical homogenization Mercredi 27 mai Pierre-Louis Lions Vladimir Sverak (University of Minnesota, Minneapolis)

51. Liste Des Manager, Classement Par Ordre Alphabétique Du Prénom Translate this page Jacobus FM Peters. Jacomet. Jacqueline navier. Jacqueline Rougeot. Jacques Abergel. JeanCambours. Jean Cavaillet. Jean claude Beziat. Jean claude Duhem. Jean Clochet. http://www.transnationale.org/manager/manager_j.htm

Entreprises > Liste de managers: A B C D ... I J K L M N ... Jyrki Juusela

52. Organisation Translate this page CAUSSE - Jean-Marie DUTILLEUL - Jean-Pierre OLLIVIER Philippe LECROQ - Michel PRAT- Armando RITO - claude SERVANT François de RECIPIENDAIRES DU PRIX navier. http://www.afgc.asso.fr/v3/pages/orga.html

Conseil d'Administatio n, le et le . Les permettent d'assurer le relais indispensable avec le terrain. groupes de travail , de manifestations AIPC , la fib , la RILEM et le Chapitre ACI de Paris. (AUGC). des membres, le Conseil d'Administration , le Bureau , le , le et les , selon les Statuts Prix Albert Caquot Prix AFGC Prix Navier ... Remise des Prix 2002 Les prix A. Caquot, AFGC et Navier seront remis le : Salle du Centenaire de la FNTP REGLEMENT DU PRIX ALBERT CAQUOT Article 1 Article 2 Article 3 Ne peuvent recevoir ce prix : - Les membres du Conseil d'Administration en exercice. Article 4 REGLEMENT DU PRIX A.F.G.C. Article 1 Article 2 Article 3 Article 4 REGLEMENT DU PRIX NAVIER Conditions : 4. Impact dans le milieu professionnel et valorisation Jury : Renouvelable par tiers. - Invitation au Forum AFGC-AUGC-IREX pour la remise du Prix FICHE DE CANDIDATURE AU PRIX NAVIER Mr Mme Melle Nom : A (organisme) : . Mention obtenue : . 46 avenue Aristide Briand B.P. 100

53. "Studier I Badekarret" claude navier opstillede i 1821 en ligning for vibrationerne i et elastisklegeme, et resultat, som senere blev udvidet af flere matematikere. http://www.cozmo.dk/cramer/tbohr.html

Studier i et badekar Tomas Bohr har flyttet sit forskningsfelt fra køkkenvasken til badekarret. Han har en doktorgrad i turbulente dynamiske systemer og siger, at han stadig ikke forstår fænomenet turbulens til bunds. Turbulens Af Michael Cramer Andersen Hvordan beskriver man en væske matematisk? Det er relativt let at skrive ligningen ned, men det er straks sværere at løse dem. Ligesom væsken selv, har løsningerne og ligningen det med at glide ud mellem fingrene på én. Ligningerne hedder »Navier-Stokes ligningerne«, og har været kendt i 150 år. »Det er en fænomenologisk ligning, som giver en makroskopisk beskrivelse af alle bevægelser væske«, siger Tomas Bohr, der kender Navier-Stokes ligningerne fra både teoretiske og praktiske studier. Tomas Bohr, der er barnebarn af Niels Bohr, blev doktor på Niels Bohr Institutet i 1996 på en afhandling om »Turbulent Dynamical Systems«. Han har de sidste 13 år beskæftiget sig med forskellige aspekter af turbulensfænomener og væskestrømninger og er nu professor ved Fysisk Institut på Danmarks Tekniske Universitet, hvor hans to fætre Henrik og Jakob Bohr i øvrigt også forsker. Kilde: Nature Vol. 392, 23 april 1998.

54. Séminaire De Mécanique Translate this page EN 1822, claude-Louis navier, Professeur à l'école Nationale des Ponts et Chausséset ancien Polytechnicien, propose un modèle décrivant l'écoulement d http://www.univ-brest.fr/fr/actu/752/Welcome.html

Sur une re-visite du 7 Mai 2002

55. Computing Flows Around Space Shuttle Orbiters, Helicopter Rotors, Turbines, Comp Nearly seventy years after Leonhard Euler derived his famous equations, in 1821,claude LMH navier (17851836) added viscous forces and rederived an improved http://emeagwali.com/research/space-shuttle/

COMPUTING FLOWS AROUND SPACE SHUTTLE ORBITERS An excerpt from Philip Emeagwali's 1989 Gordon Bell Prize Report Philip Emeagwali inside the Space Shuttle. RELATED ARTICLES: Nature's own numbers man From Oslo, Norway Making strides in a parallel universe Inspiration from hard history Both Gordon Bell Prize winners tackle oil industry problems Supercomputer produces oil reservoir simulation ... Upstream Interview From Ghana You said it ... Real letters from Real folks This Man Is Hot From London RELATED WEBSITES: Emeagwali's Website N early seventy years after Leonhard Euler derived his famous equations, in 1821, Claude L. M. H. Navier (1785-1836) added viscous forces and rederived an improved set of equations then called the Navier equations. The latter equations were rederived by Simeon-Denis Poisson in 1831 and George Gabriel Stokes (1819-1903) in 1849. These equations, which are now called the Navier-Stokes equations, are widely used in various fluid dynamical applications, such as computing the flows around turbine and compressor blades, helicopter rotors, airplanes and missiles. Specific applications include its use by the National Aeronautics and Space Administration (NASA) uses it to collect data that complement those obtained from wind tunnel experiments and to compute the flow field around a B-747 carrier aircraft transporting the Space Shuttle Orbiter; by United Technologies Research Center to compute the multicomponent flowfield patterns inside a centrifugal compressor.

56. Report 2000 equations for the motion of incompressible fluids were first written down in1822 by the French civil engineer claudeLouis-Marie-Henri navier, but his http://webpages.dcu.ie/~wooda/Stokes2000/Report2000.html

Stokes Millennium Summer School Skreen, County Sligo, Ireland 4th - 10th August 2000 Report 2000 This was the third in series of conferences organised by Alastair Wood (Dublin City University) and Sir Michael Berry (Bristol) to honour the life and work of Sir George Gabriel Stokes at his birthplace "within the sound of the Atlantic breakers" The School was in two parts, and many of the 40 participants attended both. 4th - 5th August 2000 Instructional Course on new numerical methods for the Navier-Stokes Equations, organised by J. Miller (Dublin) and G. Shishkin (Ekaterinburg) with L. Crane (Dublin), A. Hegarty (Limerick) and E. O'Riordan (Dublin City). 6th - 9th August 2000 Workshop with lectures from J.R. King (Nottingham), V. Entov (Moscow), A.R. Davies (Aberystwyth), P.G. Drazin (Bristol), P. Clarkson (Kent), B. Straughan (Glasgow), E. Mansfield (Kent), A. D. Craik (St. Andrews), P. Lynch (Met Eireann), M. Plum (Karlsruhe), J. Flavin (Galway), I. Roulstone (UK Met Office), M. Nakano (Keio) and N. Stokes (CSIRO, Australia). While all speakers alluded to the work of Stokes, the lectures by Alex Craik on Stokes and his precursors on water wave theory, by Philip Drazin on Exact solutions of the Navier-Stokes equation and by Peter Lynch on the key role played by Stokes' fluid equations in modern weather forecasting were of considerable historical interest. A highlight was the pre-Conference Dinner talk by Nick Stokes, himself a fluid dynamicist and a distant relative of G.G. Stokes, sharing a common ancestor in Gabriel Stokes, scientific instrument maker and Deputy-Surveyor General of Ireland. We learned for the first time of the connection with the Stokes family of Gloucestershire and Wiltshire and of the adventures of Charles Henry Stokes in Africa, where his execution by hanging by the Belgians in the Congo in 1894 caused an international furore in which Queen Victoria personally intervened with her cousin, King Leopold.

57. Naigeon (allée Jean-Claude) Translate this page RUES. COLLEGES. LYCEES. Naigeon (allée Jean-claude). Bachelard. Castel. Nansouty(Général Charles de). Nord. Ch. de Gaulle. navier (quai). Parc. Castel. Neel (Louis). http://www.ac-dijon.fr/academ/ia/ia21/discorb21/DISCORB_DIJON/DISCORB_SECT_N.htm

RUES COLLEGES LYCEES Naigeon (allée Jean-Claude) Bachelard Castel Nansouty (Général Charles de) Lentillères H. Fontaine Nanteuil (Célestin) Lentillères H. Fontaine Nation (Rond Point de la) Clos de Pouilly : de 1 à 7 Ch. de Gaulle Nation (Rond Point de la) Nord : à partir de 9 + tous les pairs Ch. de Gaulle Nations Unies (place des) Nord Ch. de Gaulle Navier (quai) Parc Castel Neel (Louis) Nord Ch. de Gaulle Neuilly (de) Lentillères H. Fontaine Neuve Bergère Parc Castel Neuve Dauphine Parc Castel Nicolas (Alexandre) Roupnel Ch. de Gaulle Niepce (Nicéphore) Dunant Castel Nisard (impasse Désiré) Bachelard Castel Nobel (Allée Alfred) Nord Ch. de Gaulle Noblemaire (Gustave) Bachelard Castel Nodot Pardé Castel Noël (allée Marie) Parc Castel Noinville (Martin de) Lentillères H. Fontaine Noisot (impasse Commandant) Bachelard Castel Nord (du) Carnot Carnot Parc Castel Notre-Dame (place) Carnot Carnot Noue (de la) Lentillères H. Fontaine Nourissat (impasse) Epirey Carnot Nuits Saint Georges (du) Dunant Castel Nungesser et Coli (impasse) Clos de Pouilly Ch. de Gaulle

58. History Of Mathematicians Used In The Burgers Course (finite Elements) Many flow problems are described by the navierStokes equations claude LouisMarie Henri navier (1785-1836) and George Gabriel Stokes (1819-1903). http://ta.twi.tudelft.nl/users/vuik/burgers/burfem.html

History of mathematicians In this document we give some information of mathematicians which work or names are used in the Finite Element part of the course Computational Fluid Dynamics II (a PhD course from the JM Burgerscentrum ). The course is based on the following book: Finite element methods and Navier-Stokes equations, C. Cuvelier and A. Segal and A.A. van Steenhoven, Reidel Publishing Company, Dordrecht, 1986. 1. Introduction Many flow problems are described by the Navier-Stokes equations Claude Louis Marie Henri Navier (1785-1836) and George Gabriel Stokes (1819-1903) 2. Introduction to the Finite Element method In boundary value problems a differential equation is given together with appropriate boundary conditions, in order to make the solution unique. There are various boundary conditions possible. We consider a heat equation, where the required solution describes the temperature (T). To derive the differential equation equation the law of Jean Baptiste Joseph Fourier (1768-1830) is used, which the heat flux with the first derivative of the temperature. As boundary conditions one can prescribe the temperature (called a Dirichlet condition Johann Peter Gustav Lejeune Dirichlet (1805-1859) ) or one can prescribe the flux, the first derivative of the temperature (called a Neumann condition

59. Ecole Polytechnique : Program MAT 551 (6 ECTS) Dynamical Systems claude Viterbo viterbo@math.polytechnique.fr twocenturies since the introduction by Euler, and later by navier, of the http://www.polytechnique.fr/VA/academics/program/mat501.html

Year 3: 1st Quater POLYTECHNIQUE Majeure 1 4 required courses : MAT 501 : Mathematics, 26 ECTS MAT 501 Yvette Kosmann-Schwarzbach : yks@math.polytechnique.fr Each student will take courses (one of which can be selected from the courses offered by the Department of Applied Mathematics) and an "approfondissement", consisting of independent study of a topic related to one of the courses he/she has selected. List of courses offered in the Majeure 1 by the Department of Mathematics: * Dynamical Systems (F. Labourie and C. Viterbo) * Algebra, Arithmetic and Codes (J.F. Mestre) * Equations of Fluid Mechanics (G. Lebeau) * Mathematical Foundations of Image Analysis (J.-M. Morel) Each of these courses was designed to include both theory and applications, such as cryptography in Algebra, Arithmetic and Codes, image processing in Mathematical Foundations of Image Analysis, robotics in Dynamical Systems, fluid flows in Equations of Fluid Mechanics and particle physics in Groups and Symmetries. Approfondissement An "`approfondissement'' is the independent study of a topic related to one of the courses of the ``Majeure'' chosen by the student.

60. Ecole Polytechnique : Program Translate this page Schwarzbach yks@math.polytechnique.fr Jean-claude Tolédano jean-claude.toledano@polytechnique Qu'ils'agisse des équations d'Euler ou de navier-Stokes, la http://www.polytechnique.fr/Ens/prog/ing/mat501.htm

1er trimestre École POLYTECHNIQUE Majeure 1 MAT 501 : 26 ECTS MAT 501 Yvette Kosmann-Schwarzbach : yks@math.polytechnique.fr Approfondissements choisis parmi les cinq ci-dessus. Lien avec la Majeure 1 d'Informatique MAT 551 (6 ECTS) Claude Viterbo : viterbo@math.polytechnique.fr, François Labourie : francois.labourie@math.u-psud.fr Bibliographie Hirsch, M. W. et Smale, S., Differential Equations, Dynamical Systems, and Llinear Algebra, Pure and Applied Mathematics, Vol. 60, Academic Press, 1974. Lefschetz, S., Differential Equations : Geometric Theory, Dover, 1977. MAT 552 (6 ECTS) * 7-8. Codes cycliques. Codes classiques : Hamming, Golay, Reed-Solomon, Reed-Muller, BCH. Bibliographie Van Lindt, J. H., Introduction to Coding Theory, Springer-Verlag, 1999. Koblitz, N., A Course in Number Theory and Cryptography, Springer-Verlag, 1994. Mots-clefs : corps finis, factorisation, codes correcteurs d'erreurs MAT 553 (6 ECTS) Yvette Kosmann-Schwarzbach : yks@math.polytechnique.fr : jean-claude.toledano@polytechnique.fr Bibliographie Fulton, W., et Harris, J., Representation Theory, A First Course, Springer-Verlag, 1991.

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