Schatzman, M.Overview
Most widely held works by
M Schatzman
Bifurcation and nonlinear eigenvalue problems : proceedings, Université de Paris XIII, Villetaneuse, France, October 24, 1978
by C Bardos
(
Book
)
19 editions published between 1980 and 2008 in English and held by 538 WorldCat member libraries worldwide
Numerical analysis : a mathematical introduction
by M Schatzman
(
Book
)
9 editions published between 2001 and 2002 in English and held by 492 WorldCat member libraries worldwide
Analyse numérique : cours et exercices pour la licence
by M Schatzman
(
Book
)
3 editions published in 1991 in French and held by 125 WorldCat member libraries worldwide
Analyse numérique : une approche mathématique : cours et exercices
by M Schatzman
(
Book
)
4 editions published in 2001 in French and held by 112 WorldCat member libraries worldwide
New results on the vibrating string with a continuous obstacle
by A Bamberger
(
Book
)
3 editions published in 1980 in English and held by 5 WorldCat member libraries worldwide
Problèmes unilatéraux d'évolution du 2ème ordre en temps
by M Schatzman
(
Book
)
3 editions published in 1979 in 3 languages and held by 4 WorldCat member libraries worldwide
Problèmes unilatéraux d'évolution du 2e ordre en temps :
by M Schatzman
(
Book
)
1 edition published in 1979 in French and held by 4 WorldCat member libraries worldwide
Mathematical results on existence for viscoelastodynamic problems with unilateral constraints
by Adrien Petrov
(
Book
)
1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide We study a damped wave equation and the evolution of a KelvinVoigt material, both problems have unilateral boundary conditions. Under appropriate regularity assumptions on the initial data, both problems possess a weak solution which is obtained as the limit of a sequence of penalized problems; the functional properties of all the traces are precisely identified through Fourier analysis, and this enables us to infer the existence of a strong solution
Mathematical results on existence for viscoelastodynamic problems with unilateral constraints
(
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide We study a damped wave equation and the evolution of a KelvinVoigt material, both problems have unilateral boundary conditions. Under appropriate regularity assumptions on the initial data, both problems possess a weak solution which is obtained as the limit of a sequence of penalized problems; the functional properties of all the traces are precisely identified through Fourier analysis, and this enables us to infer the existence of a strong solution
CONDITIONS AUX LIMITES ARTIFICIELLES POUR DES MODELES DE LA MECANIQUE DES FLUIDES
by JeanPierre Loheac
(
Book
)
1 edition published in 1989 in French and held by 2 WorldCat member libraries worldwide UNE FAMILLE DE CONDITIONS AUX LIMITES ARTIFICIELLES POUR UNE EQUATION DE CONVECTIONDIFFUSION OU LA VISCOSITE EST PETITE, A ETE CONSTRUITE ET ETUDIEE PAR L. HALPERN EN FAISANT APPEL A LA TRANSFORMATION DE FOURIER. AFIN D'ETENDRE CETTE ETUDE AU CAS D'UNE EQUATION A COEFFICIENTS VARIABLES, ON PROPOSE ICI UNE AUTRE METHODE D'ETUDE: A UNE CONDITION AUX LIMITES ARTIFICIELLES DONNEE EST ASSOCIE UN PROBLEME DE TRANSMISSION; CE PROBLEME ETANT BIEN POSE, ON MAJORE L'ERREUR ENTRE LE PROBLEME ORIGINAL ET LE PROBLEME DE TRANSMISSION GRACE A DES ESTIMATIONS CONVECTIVES ET CE SANS FAIRE APPEL A LA TRANSFORMATION DE FOURIER. CETTE METHODE EST D'ABORD MISE EN UVRE DANS LE CAS D'UNE EQUATION DE CONVECTIONDIFFUSION A COEFFICIENTS VARIABLES: UNE CONDITION AUX LIMITES ARTIFICIELLES EST PROPOSEE ET ETUDIEE PAR CETTE METHODE. QUELQUES ESSAIS NUMERIQUES SONT PRESENTES
A Class of non linear differential equations of second order in time
by M Schatzman
(
Book
)
1 edition published in 1977 in English and held by 2 WorldCat member libraries worldwide
Problèmes aux limites non linéaires, non coercifs
by M Schatzman
(
Book
)
1 edition published in 1971 in French and held by 2 WorldCat member libraries worldwide
On secondary bifurcations for some nonlinear convolution equations
by Francis Comets
(
Book
)
1 edition published in 1984 in English and held by 2 WorldCat member libraries worldwide
Étude théorique de méthodes numériques our les systèmes de réactiondiffusion application à des équations paraboliques non linéaires et non locales
by Magali Ribot
(
Book
)
2 editions published in 2003 in French and held by 2 WorldCat member libraries worldwide On s'intéresse dans cette th`ese `a l'étude de méthodes numériques pour les syst`emes de réactiondiffusion. Tout d'abord, on étudie le schéma par régularisation du résidu et ses extrapolations ; ce schéma introduit un préconditionneur en espace lors de la discrétisation en temps. On prouve la stabilité en norme usuelle et la convergence en norme d'énergie de cette méthode et on l'applique au préconditionnement de méthodes spectrales par des méthodes d'éléments finis. Cette application nécessite le calcul d'asymptotiques précises des polyn˜omes de Legendre et de leurs extrema. On prouve aussi la convergence et l'ordre deux d'une méthode de splitting semidiscrétisée en temps pour les syst`emes de réactiondiffusion, l'approximation de PeacemanRachford. Enfin, on applique ces méthodes `a la simulation d'une équation parabolique non linéaire pour modéliser la croissance de grains et `a une équation parabolique non locale venant de la mécanique statistique et modélisant les syst`emes autogravitants de fermions
Matrices structurées et matrices de Toeplitz par blocs de Toeplitz en calcul numérique et formel
by Houssam Khalil
(
)
2 editions published in 2008 in French and held by 2 WorldCat member libraries worldwide Several problems in applied mathematics require the solving of linear systems with very large sizes, and sometimes these systems must be solved multiple times. In such cases, the standard algorithms based on the Gauss elimination require O (n ^ 3) arithmetic operations to solve a system of size n, and it will be a handicap for the computation. That is why we look for using of the structure to reduce the computation's time. The structure of Toeplitz, Hankel, Cauchy, Vandermonde and other more general structure are very well expoiled to reduce the complexity of solving a linear system to O (n log n ^ 2) arithmetic operations. The two levels structured matrices and especially Toeplitz block Toeplitz (TBT) matrices appear in many applications. The purpose of this work is to find fast algorithms for TBT systems. In this thesis, we describe the difficulties of this problem. We give three fast algorithms, of complexity O (n ^ 3 / 2) operations, for Toeplitz band block Toeplitz band systems. we also give a new method of solving Toeplitz systems by giving a relationship between the solution of a Toeplutz system and syzygies of polynomials in one variable. We generalize this method for TBT matrices and we give a relationship between the solution of such linear system and syzygies of polynomials in two variables
Bifurcation and nonlinear eigenvalue problems : proceedings, Université de Paris XIII, Villetaneuse, France ... 1978
(
Book
)
1 edition published in 1980 in English and held by 2 WorldCat member libraries worldwide
New Results on the Vibrating String with a Continuous Obstacle
(
Book
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide We give an explicit formula which describes the solution of the problem of the vibrating string with a plane obstacle. This formula allows us to prove continuous dependence on the data; a regularity result is given. We prove some results on the convergence of the penalized problem, and give a numerical scheme. A few results are given without the requirement that the obstacle be plane. (Author)
ANALYSE DE QUELQUES METHODES NUMERIQUES POUR DES PROBLEMES D'EVOLUTION
by ABDERAOUF TLILI
(
Book
)
1 edition published in 1994 in French and held by 1 WorldCat member library worldwide CE TRAVAIL COMPORTE DEUX PARTIES INDEPENDANTES. DANS LA PREMIERE PARTIE ON ETUDIE LE SCHEMA SAUTEMOUTON APRES POSTTRAITEMENT, APPLIQUE A L'EQUATION DE TRANSPORT A COEFFICIENTS CONSTANTS. ON MONTRE LA STABILITE ET LA CONVERGENCE DE LA SOLUTION POSTTRAITEE DANS L#1. LES RESULTATS NUMERIQUES CONFIRMENT LE RESULTAT OBTENU THEORIQUEMENT ET SONT ETENDUS AU CAS A COEFFICIENTS VARIABLES. DANS LA DEUXIEME PARTIE, ON S'INTERESSE A L'ETUDE NUMERIQUE D'UN CERTAIN TYPE D'EQUATION AUX DERIVEES PARTIELLES AVEC UN TERME DE MEMOIRE. ON TRAITE DEUX CAS: UNE EQUATION DE TRANSPORT ET UNE EQUATION DE CONVECTIONDIFFUSION. ON PROPOSE UNE APPROXIMATION DU TERME DE MEMOIRE. ON MONTRE L'EXISTENCE DE LA SOLUTION DU PROBLEME APPROCHE ET LA CONVERGENCE VERS LA SOLUTION EXACTE. DES ESSAIS NUMERIQUES SONT PROPOSES DANS LES DEUX CAS
Neurophysiological models, spin models, and pattern formation
by Berkeley University of California
(
Book
)
1 edition published in 1984 in English and held by 1 WorldCat member library worldwide
Problème hyperbolique non linéaire perturbé par un terme de convolution méthodes pseudospectrales et carture de choc pour des équations hyperboliques
by Alain Dimier
(
Book
)
1 edition published in 1988 in French and held by 1 WorldCat member library worldwide DANS LA PREMIERE PARTIE ON CONSIDERE UNE EQUATION QUASILINEAIRE DU 1ER ORDRE COMPORTANT UN TERME DE CONVOLUTION WXH(U) ET ASSOCIEE A UNE CONDITION INITIALE UO(X). LE NOYAU DE CONVOLUTION W EST DE CLASSE G ET INTEGRABLE H EST LOCALEMENT LIPSCHITZIENNE. ON ETABLIT L'EXISTENCE GLOBALE OU LOCALE DES SOLUTIONS FAIBLES PAR UNE METHODE DE VISCOSITE, AINSI QUE L'UNICITE DE LA SOLUTION ENTROPIQUE. ON PRESENTE DES RESULTATS NUMERIQUES OBTENUS A PARTIR DU SCHEMA D'ORDRE I D'ENGQUIESTOSHER. L'UTILISATION DANS LE CONTEXTE PRECEDENT D'UNE T.F.R. CONDUIT A ETUDIER LES PROBLEMES HYPERBOLIQUES DANS LE CADRE DES METHODES SPECTRALES. ON EXPOSE UNE METHODE NUMERIQUE PERMETTANT D'APPROCHER UNE SOLUTION V(X,T) POSSEDANT DES DISCONTINUITES DE PERMIERE ESPECE. CETTE SOLUTION EST CONSTRUITE A PARTIR DE LA DECOMPOSITION SOUS LA FORME D'UNE PARTIE REGULIERE R(X,T) PLUS UNE FONCTION C(X,T) TRADUISANT LES DIFFERENTES DISCONTINUITES QU'ELLE COMPORTE. ON PEUT CHOISIR DIVERS DEGRES DE REGULARITE. ON REECRIT L'EQUATION DONT U EST SOLUTION SOUS LA FORME D'UN SYSTEME COUPLE PORTANT SUR R ET C. LA FONCTION A SATISFAIT ESSENTIELLEMENT L'EQUATION INITIALE, MODULO DES TERMES DE COUPLAGE ISUS DE C. CETTE ETUDE EST TOUT D'ABORD REALISEES POUR DES EQUATIONS HYPERBOLIQUES SCALAIRES LINEAIRES A UNE ET DEUX DIMENSIONS D'ESPACE. UNE ETUDE SIMILAIRE EST PRESENTEE POUR DES PROBLEMES HYPERBOLIQUES NON LINEAIRES. COMME LA SOLUTION PEUT DEVELOPPER AU COURS DU TEMPS DES DISCONTINUITES ON UTILISE DES TECHNIQUES DE CAPTURE DE CHOCS, AFIN D'ANALYSER LEUR AMPLITUDE ET LEUR POSITION. L'ETUDE NUMERIQUE EST REALISEE POUR L'EQUATION BURGERS A UNE DIMENSION D'ESPACE more
fewer
Audience Level
Related Identities

Alternative Names
Schatzman, M.
Schatzman, Michelle
Languages
Covers
