Communications in Mathematical Sciences

Volume 5 (2007)

Number 4

Contents

Finite difference solutions of the nonlinear Schrödinger equation and their conservation of physical quantities

Clemens Heitzinger, Christian Ringhofer, and Siegfried Selberherr

pp. 779-788

Construction and validation of a rigorous surface hopping algorithm for conical crossings

Caroline Lasser, Torben Swart, and Stefan Teufel

pp. 789-814

On quantum hydrodynamic and quantum energy transport models

Pierre Degond, Samy Gallego, and Florian Mehats

pp. 887-908

Steady states and their stability of homogeneous, rigid, extended nematic polymers under imposed magnetic fields

Guanghua Ji, Hongyun Wang, Qi Wang, Pingwen Zhang, and Hong Zhou

pp. 917-950

Interpolation between logarithmic Sobolev and Poincare inequalities

Anton Arnold, Jean-Philippe Bartier, and Jean Dolbeault

pp. 971-979

Empirical evaluation of a sub-linear time sparse DFT algorithm

A. Gilbert, M.A. Iwen, and M. Strauss

pp. 981-998

A sub-linear scaling algorithm for computing the electronic structure of materials

Weinan E, Carlos J. García-Cervera, and Jianfeng Lu

pp. 999-1026

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