## Selected papers from ICNAAM-2007 and ICCMSE-2007: special presentations at the International Conference on Numerical Analysis and Applied Mathematics 2007 held in Corfu, Greece, 16-20 September 2007 and at the International Conference on Computational Methods in Sciences and Engineering 2007 held in Corfu, Greece, 25-30 September 2007T. E. Simos, George Maroulis, George Psihoyios, Ch.. Tsitouras All papers have been peer-reviewed. The 5th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2007), Official Conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), and the 5th International Conference on Computational Methods in Sciences and Engineering 2007 (ICCMSE 2007), Recognized Conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE) have both taken place at Hotel Marbella in Corfu, Greece between 16th and 20th September 2007 and 25th and 30th September 2007, respectively. We note that for ICCMSE there is a co-sponsorship by American Chemical Society. The aim of ICNAAM is to bring together leading scientists of the international Numerical and Applied Mathematics community and to attract original research papers of very high quality. The ICCMSE is unique in its kind. It regroups original contributions from all fields of the traditional Sciences, Mathematics, Physics, Chemistry, Biology, Medicine and all branches of Engineering. It would be perhaps more appropriate to define the ICCMSE as a Conference on Computational Science and its applications to Science and Engineering. Based on the universality of mathematical reasoning the ICCMSE favors the interaction of various fields of Knowledge to the benefit of all. Emphasis is given to the multidisciplinary character of the Conference. The principal ambition of the ICCSME is to promote the exchange of novel ideas through the close interaction of research groups from all Sciences and Engineering. In this Volume, we present special contributions of these two Conferences which cover the aim and the scope of each of these events. |

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### Contents

All Electron Quantum Chemical Analysis | 7 |

ICNAAM 2007 | 11 |

Spin State Dependence of Second Hyperpolarizabilities of Zethrenes | 15 |

Copyright | |

17 other sections not shown

### Common terms and phrases

2007 and ICCMSE 2008 American Institute Abstract algebra algorithm applied approach approximation atoms basis set Bose calculations charge densities Chem chemical Clifford Algebras Computational configurations contribution core/shell correlation corresponding crystal density functional theory density matrix diradical diradical character edited by T. E. electronic structure enol excitons experimental FIGURE free energy geometric algebra geometry heme hydrogen hyperpolarizabilities ICCMSE 2007 edited initio integral interaction Japan kcal/mol keto-enol tautomerism Keywords kinetic energy linear magnetic Maroulis Mathematics middle ear model clusters molecular natural orbitals nonlinear obtained OCS molecule operating point optimized PACS Papers from ICNAAM parameters peptide bond phase Phys polarization polyacenic potential PropA properties proton transfer Psihoyios QED method QM/MM quantal quantum reaction ReaxFF redox reduction free energy rendering equation RISM-SCF rotational Sasagane simulation singlet solution solvation space spin surface T. E. Simos theoretical triplet Tsitouras O 2008 values vibronic coupling water molecules Yamaguchi zethrenes