Probl´ ematiques num´ eriques pour la simulation mol´ eculaire

We present a brief overview of the state of the art of the numerical techniques in use for the simulation of molecular systems in the framework of quantum chemistry. We focus on the simulation of "small" systems and we lay some emphasis on some recent methods. The issue of the optimal control of chemical reactions using laser fields is also discussed

[1]  Claude Le Bris,et al.  Mathematical models and methods for ab initio quantum chemistry , 2000 .

[2]  Youcef Saad,et al.  Projection Methods for Solving Nonlinear Systems of Equations , 1991 .

[3]  Gustavo E. Scuseria,et al.  What is the Best Alternative to Diagonalization of the Hamiltonian in Large Scale Semiempirical Calculations , 1999 .

[4]  Berend Smit,et al.  Understanding Molecular Simulation , 2001 .

[5]  E. Cancès,et al.  On the convergence of SCF algorithms for the Hartree-Fock equations , 2000 .

[6]  Claude Le Bris,et al.  Some recent mathematical contributions to quantum chemistry , 1999 .

[7]  S. Goedecker Linear scaling electronic structure methods , 1999 .

[8]  P. Pulay Improved SCF convergence acceleration , 1982 .

[9]  R. Mcweeny,et al.  Methods Of Molecular Quantum Mechanics , 1969 .

[10]  Berend Smit,et al.  Understanding molecular simulation: from algorithms to applications , 1996 .

[11]  Benedict Leimkuhler,et al.  Computational Molecular Dynamics: Challenges, Methods, Ideas , 1999, Computational Molecular Dynamics.

[12]  P. Weiner,et al.  Computer Simulation of Biomolecular Systems , 1997 .

[13]  P. Pulay Convergence acceleration of iterative sequences. the case of scf iteration , 1980 .

[14]  Timothy G. Mattson Parallel Computing in Computational Chemistry , 1995 .

[15]  Warren J. Hehre,et al.  AB INITIO Molecular Orbital Theory , 1986 .

[16]  Y. Saad,et al.  Electronic structure calculations for plane-wave codes without diagonalization , 1999 .

[17]  R. Dreizler,et al.  Density-Functional Theory , 1990 .

[18]  Claude Le Bris,et al.  Computing a molecule in its environment: A mathematical viewpoint , 1999 .

[19]  C. Bris,et al.  Computing a molecule: A mathematical viewpoint , 1997 .