518 research outputs found

    List of contents and Author Index, Volume 19, 2006

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    Abstract book

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    Welcome at the International Conference on Differential and Difference Equations & Applications 2015. The main aim of this conference is to promote, encourage, cooperate, and bring together researchers in the fields of differential and difference equations. All areas of differential & difference equations will be represented with special emphasis on applications. It will be mathematically enriching and socially exciting event. List of registered participants consists of 169 persons from 45 countries. The five-day scientific program runs from May 18 (Monday) till May 22, 2015 (Friday). It consists of invited lectures (plenary lectures and invited lectures in sections) and contributed talks in the following areas: Ordinary differential equations, Partial differential equations, Numerical methods and applications, other topics

    List of Contents and Author Index Volume 18 (2005)

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    Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces

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    We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an optimal control problem of minimum energy. The results are proved with the help of fixed-point and semigroup theories.Comment: This is a preprint of a paper whose final and definite form is published Open Access in 'Axioms' at [https://doi.org/10.3390/axioms11080379

    The interaction of intense few-cycle laser pulses with nanoscale targets

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    In this thesis I describe investigations of the interaction of strong laser fields with nanoscale targets, particularly with atomic clusters. I have explored laser-irradiated clusters in a new regime of interaction where the pulse duration approaches the few-cycle regime and the cluster ions essentially do not move during the laser pulse. A key result of this thesis is the observation of a new anisotropy in the ion emission from the explosion of xenon and argon clusters subjected to ultra-short (∌ 30 fs) near-infrared high intensity (∌ 1015 Wcm−2) laser pulses. In this regime more energetic ions are emitted in the direction perpendicular to the laser polarisation axis, which is the reverse of the well-known anisotropy previously observed in experiments with longer (∌ 100 fs) pulses. I show that the new anisotropy is a transient phenomenon present for a limited range of pulse durations, that is specific to the cluster size and atom species. As the pulse duration is increased the new anisotropy diminishes and a standard anisotropy appears. To explain the observed anisotropy, I have developed an electrostatic model, showing that the intracluster electric field can have a maximum in the direction perpendicular to the laser polarisation axis, leading to anisotropic ion acceleration consistent with experimental observations. These measurements and modeling give access to the initial dynamics, present early in the interaction of an intense laser field with a nanoscale dielectric. In addition to investigations of gas phase clusters I have also studied nanostructures on surfaces. An experiment to study time-dependent plasmonic fields with attosecond streaking is being designed and built. Here I present numerical simulations of nanoplasmonic streaking and address the issues that have to be considered for the ongoing experiment. I show how the plasmonic field can be retrieved from the simulated streaked spectra

    Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments of advanced type

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    This paper deals with the convergence and stability of Galerkin finite element method for a hyperbolic partial differential equations with piecewise continuous arguments of advanced type. First of all, we obtain the expression of analytic solution by the method of separation variable, then the sufficient conditions for stability are obtained. Semidiscrete and fully discrete schemes are derived by Galerkin finite element method, and their convergence are both analyzed in L2-norm. Moreover, the stability of the two schemes are investigated. The semidiscrete scheme can achieve unconditionally stability. The sufficient conditions of stability for fully discrete scheme are derived under which the analytic solution is asymptotically stable. Finally, some numerical experiments are presented to illustrate the theoretical results

    [Book of abstracts]

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    USPCAPESCNPqFAPESPICMC Summer Meeting on Differential Equations (2016 SĂŁo Carlos

    ULF oscillations in the terrestrial magnetosphere

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    EThOS - Electronic Theses Online ServiceGBUnited Kingdo

    International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts

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    The present volume on Mathematical Analysis and Applications in Science and Engineering - Book of Extended Abstracts of the ICMASC’2022 collects the extended abstracts of the talks presented at the International Conference on Mathematical Analysis and Applications in Science and Engineering – ICMA2SC'22 that took place at the beautiful city of Porto, Portugal, in June 27th-June 29th 2022 (3 days). Its aim was to bring together researchers in every discipline of applied mathematics, science, engineering, industry, and technology, to discuss the development of new mathematical models, theories, and applications that contribute to the advancement of scientific knowledge and practice. Authors proposed research in topics including partial and ordinary differential equations, integer and fractional order equations, linear algebra, numerical analysis, operations research, discrete mathematics, optimization, control, probability, computational mathematics, amongst others. The conference was designed to maximize the involvement of all participants and will present the state-of- the-art research and the latest achievements.info:eu-repo/semantics/publishedVersio

    Proceedings of the Thirteenth International Conference on Time-Resolved Vibrational Spectroscopy

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    The thirteenth meeting in a long-standing series of “Time-Resolved Vibrational Spectroscopy” (TRVS) conferences was held May 19th to 25th at the Kardinal Döpfner Haus in Freising, Germany, organized by the two Munich Universities - Ludwig-Maximilians-UniversitĂ€t and Technische UniversitĂ€t MĂŒnchen. This international conference continues the illustrious tradition of the original in 1982, which took place in Lake Placid, NY. The series of meetings was initiated by leading, world-renowned experts in the field of ultrafast laser spectroscopy, and is still guided by its founder, Prof. George Atkinson (University of Arizona and Science and Technology Advisor to the Secretary of State). In its current format, the conference contributes to traditional areas of time resolved vibrational spectroscopies including infrared, Raman and related laser methods. It combines them with the most recent developments to gain new information for research and novel technical applications. The scientific program addressed basic science, applied research and advancing novel commercial applications. The thirteenth conference on Time Resolved Vibrational Spectroscopy promoted science in the areas of physics, chemistry and biology with a strong focus on biochemistry and material science. Vibrational spectra are molecule- and bond-specific. Thus, time-resolved vibrational studies provide detailed structural and kinetic information about primary dynamical processes on the picometer length scale. From this perspective, the goal of achieving a complete understanding of complex chemical and physical processes on the molecular level is well pursued by the recent progress in experimental and theoretical vibrational studies. These proceedings collect research papers presented at the TRVS XIII in Freising, German
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