The relationship between the densities of ground-state wave functions (i.e., the minimizers of the Rayleigh-Ritz variation principle) and the ground-state densities in density-functional theory (i.e., the minimizers of the Hohenberg-Kohn variation principle) is studied within the framework of convex conjugation, in a generic setting covering molecular systems, solid-state systems, and more. Hav...

We consider the stability and convergence analysis of pressure stabilized finite element approximations of the transient Stokes’ equation. The analysis is valid for a class of symmetric pressure stabilization operators, but also for standard, inf-sup stable, velocity/pressure spaces without stabilization. Provided the initial data is chosen as a specific (method dependent) Ritz-projection, we g...

1. David D, Bani L, Moreau J-L, Demaison C, Sun K, Salvucci O, Nakarai T, de Montalembert M, Chouaib S, Joussemet M, Ritz J, Thèze J: Further analysis of interleukin-2 receptor subunit expression on the different human peripheral blood mononuclear cell subsets. Blood 91:165, 1998 2. Bani L, David D, Moreau J-L, Cayota A, Nakarai T, Ritz J, Thèze J: Expression of the IL-2 receptor g subunit in r...

We report a comprehensive list of accurate Ritz wavelengths and calculated transition probabilities for parity-forbidden [Mn ii] lines. have been derived from experimentally established energy level values resulting an extensive analysis high-resolution Fourier-transform emission spectrum singly ionized manganese. Our includes transitions between all known metastable other long-lived levels Mn ...

We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to three-term recurrence relation for the coefficients power series that, under suitable truncation, yields exact analytical eigenvalues and eigenfunctions particular values model parameter. From these solutions, some researchers have derived variety predictions suc...