L2-approximation by the translates of a function and related attenuation factors.
S.L. Lee, Roger C.E. Tan, W.S. Tang (1991/1992)
Numerische Mathematik
Serge Piperno (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We investigate sufficient and possibly necessary conditions for the L2 stability of the upwind first order finite volume scheme for Maxwell equations, with metallic and absorbing boundary conditions. We yield a very general sufficient condition, valid for any finite volume partition in two and three space dimensions. We show this condition is necessary for a class of regular meshes in two space dimensions. However, numerical tests show it is not necessary in three space dimensions even on regular...
Francesc Aguiló, Alícia Miralles (2004)
Gaceta de la Real Sociedad Matemática Española
Pierre Bolley, Jacques Camus, Jean Nourrigat (1981)
Journées équations aux dérivées partielles
Jean-Pierre Dussault (2008)
RAIRO - Operations Research
In this work, we present an introduction to automatic differentiation, its use in optimization software, and some new potential usages. We focus on the potential of this technique in optimization. We do not dive deeply in the intricacies of automatic differentiation, but put forward its key ideas. We sketch a survey, as of today, of automatic differentiation software, but warn the reader that the situation with respect to software evolves rapidly. In the last part of the paper, we present some...
Gabriel Poveda Ramos (1987)
Revista colombiana de matematicas
Claude Brezinski (2005)
Revue d'histoire des mathématiques
L’objet de cet article est de présenter le manuscrit original, jusqu’alors inconnu, de Cholesky où il explique sa méthode de résolution des systèmes d’équations linéaires. Le contexte historique est précisé après une brève biographie. La méthode des moindres carrés et son application à la topographie, ainsi que les diverses méthodes directes de résolution des systèmes linéaires sont discutées. Ensuite, la diffusion de la méthode de Cholesky est retracée et l’on donne une analyse détaillée du manuscrit...
S. Kesavan (1979)
Numerische Mathematik
F. Chatelin, M.J. Lemordant (1974/1975)
Numerische Mathematik
A. Bermúdez, J. Durany (1987)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Alexander Kratochvíl (1968)
Commentationes Mathematicae Universitatis Carolinae
Jean Abadie, Halim M'Silti (1988)
RAIRO - Operations Research - Recherche Opérationnelle
A. Guillou, J. L. Soulé (1969)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Silva, M. Rogério de J. da (1982)
Portugaliae mathematica
P. Erdös, G. Piranian (1964)
Mathematische Zeitschrift
J. Fonlupt (1981)
RAIRO - Operations Research - Recherche Opérationnelle
Mario Miranda, Stephen Roberts (1985)
Rendiconti del Seminario Matematico della Università di Padova
Carlos Zuppa (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
In this paper, the Babuška’s theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Carlos Zuppa (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper, the Babuška's theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Monique Guignard, Siwhan Kim (1987)
RAIRO - Operations Research - Recherche Opérationnelle