Following the success of last year's workshop at the Weizmann Institute, we are pleased to invite the Israeli applied math community to participate in the Second Israeli Mini-Workshop in Applied and Computational Mathematics, to be held at Bar-Ilan University on Thursday December 23, 2004.

(For those who came last year and remember that the meeting was also on December 23rd, please note this is purely coincidental, future meetings may be held on different dates.)

The idea of the workshops is to create a forum for workers in applied mathematics, especially younger faculty and students, to get to know other members of the community, and promote discussion and collaboration.

This year's workshop will take place in the lecture hall on the first floor of the Economics building (building 504) on Bar-Ilan's main campus. See The Campus Map. For those arriving by car, there are parking lots outside, but close to, the campus (the big white things on the map next to building 1401). A large number of bus routes serve the university.

The schedule of events is as follows:

9:30-10:00 | registration and opening | |

10:00-10:30 | Eli Turkel (Tel Aviv University) | Numerical Methods and Nature |

10:30-11:00 | Valentin Afraimovich (Universidad Autonoma de San Luis Potosi) | Reproducibility of sequential dynamics in a model of neural circuits |

11:00-11:15 | coffee break | |

11:15-11:45 | Yoram Louzoun (Bar-Ilan University) | Graph theory applications in theoretical biology |

11:45-12:15 | David Tannor (Weizmann Institute) | Mathematical Challenges from Classical and Quantum Dynamics |

12:15-14:00 | lunch and discussions | |

14:00-14:30 | Ziad Musslimani (University of Central Florida) | Multiscale Asymptotic Analysis of Wave Propagating in Nonlinear Periodic Media |

14:30-15:00 | Raanan Fattal (Hebrew University) | Visco-Elastic flow simulations and the High Weissenberg Number Problem(HWNP) |

15:00-15:15 | coffee break | |

15:15-15:45 | Yaniv Almog (Technion) | Abrikosov lattices in finite domains |

15:45-16:30 | Arieh Iserles (Cambridge University) | On a Lie-Poisson system and its Lie algebra |

**
We thank the Department of Mathematics and the Faculty of Exact Sciences
at Bar-Ilan University for logistic and financial support**

This is a joint work with Prof. Raz Kupferman

A second application that we have studied is the translation of birth death processes into a directed percolation problem. In this case we show that a large varaiety of different birth death processes can be translated into different directed percolation threholds.

I belong to a group of theoretical chemists who assume that the Schrodinger equation for the electrons has already been solved. The remaining part of the problem is the dynamics of the relative motion of the nuclei in the presence of the electronic force field, so-called chemical reaction dynamics. There are only 9 nuclear degrees of freedom in ozone, and only 30 in glycine, but solving the wave equation is still a formidable or impossible task.This talk will focus on three aspects of the above problem. 1) Several classes of methods used to solve the time dependent Schrodinger equation for the nuclei exactly in up to 6 degrees of freedom will be described. Recent work on pseudospectral methods that avoid an underlying direct product basis will be presented (collaboration with Ilan Degani and Jeremy Schiff). 2) A large literature devoted to using classical mechanics reliably to approximate quantum mechanics will be summarized. Recent ideas for using classical mechanics to create pseudospectral representations that avoid an underlying direct product basis will be described (collaboration with Yair Goldfarb). I will also discuss methods for using classical mechanics to propagate the time dependent Schrodinger equation. 3) Finally, I will report on ongoing efforts in my group to use optimal control theory to design specially shaped laser pulses to control photochemical reactions. Here, the wave character of the light and the wave nature of the matter must be solved within a single coherent framework. The mechanism for control is via constructive or destructive interference, representing an interesting paradigm for a control problem (collaboration with Shlomo Sklarz)