n) Numerics of Quantum Models (Schrödinger, Wigner)



186 X. Antoine, C. Besse: "Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation",
accepted for publication in "Journal de Mathématiques Pures et Appliquées", 2001.
ps (0.5 MB)
zip (0.2 MB)
131 A. Arnold: "Mathematical concepts of open quantum boundary conditions",
Transp. Theory Stat. Phys. 30(4-6), 561-584,2000.
ps (0.4 MB)
zip (0.1 MB)
232 W. Bao, S. Jin, P.A. Markowich: "Time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime",
to appear in JCP, 2002.
ps (8.9 MB)
zip (1.2 MB)
193 M. Ehrhardt, A. Arnold: "Discrete Transparent Boundary Conditions for the Schrödinger Equation",
Revista di Matematica della Universita di Parma 6/4, 57-108, 2001.
ps (0.9 MB)
zip (0.2 MB)
322 P.A. Markowich, Shi Jin, Bao Weizhu: "Numerical Study of time-splitting spectral Discretisations of nonlinear Schrödinger Equations in the Semiclassical Regimes",
submitted, 2001.
ps (n/a)
zip (16.2 MB)
233 P. Markowich, P. Pietra, C. Pohl, H.P. Stimming: "A Wigner-Measure Analysis of the Dufort-Fraenkel Scheme for the Schrödinger Equation",
submitted, 2001.
ps (5.4 MB)
zip (0.9 MB)
288 O. Pinaud: "Transient simulations of a resonant tunneling diode",
2001.
ps (7.1 MB)
zip (1.1 MB)
357 E. Polizzi, N. Ben Abdallah: "Self-consistent three dimensional models for quantum ballistic transport in open systems",
submitted, 2002.
ps (11.4 MB)
zip (0.7 MB)
141 C. Ringhofer, J. Soler: "Discrete Schrödinger-Poisson Systems Preserving Energy and Mass",
Appl. Math. Letters 13, 27-32, 2000.
ps (0.6 MB)
zip (0.3 MB)