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In this book we gather recent mathematical developments and engineering applications of Trefftz methods, with particular emphasis on the Method of Fundamental Solutions (MFS). These are true meshless methods that have the advantage of avoiding the need to set up a mesh altogether, and therefore going beyond the reduction of the mesh to a boundary. These Trefftz methods have advantages in several engineering applications, for instance in inverse problems where the domain is unknown and some numerical methods would require a remeshing approach. Trefftz methods are also known to perform very well with regular domains and regular data in boundary value problems, achieving exponential convergence. On the other hand, they may also under certain conditions, exhibit instabilities and lead to ill-conditioned systems. This book is divided into ten chapters that illustrate recent advances in Trefftz methods and their application to engineering problems. The first eight chapters are devoted to the MFS and variants whereas the last two chapters are devoted to related meshless engineering applications. Part of these selected contributions were presented in the 9th International Conference on Trefftz Methods and 5th International Conference on the MFS, held in 2019, July 29-31, in Lisbon, Portugal.

Computer mathematics. --- Computer science. --- Mathematical physics. --- Computational Mathematics and Numerical Analysis. --- Computer Science, general. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Informatics --- Science --- Computer mathematics --- Electronic data processing --- Mathematics --- Differential equations, Partial. --- Partial differential equations

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Présentation des opérations de communication qu'il est nécessaire de connaitre à la fin du BTS, notamment la communication publicitaire, relationnelle, évènementielle ou sociale...

Communication in organizations --- Special events --- Advertising campaigns --- Information resources management --- Communication dans les organisations --- Evénements spéciaux --- Campagnes publicitaires --- Gestion de l'information --- Handbooks, manuals, etc --- Marketing --- Guides, manuels, etc --- Guides, manuels, etc. --- Evenements speciaux --- Evénements spéciaux --- Handbooks, manuals, etc. --- Advertising campaigns. --- Entreprises --- Business enterprises --- Business communication. --- Communication in organizations. --- Relations publiques --- Public relations --- Communication dans les organisations. --- Gestion de l'information. --- Relations publiques. --- Public relations.

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Optimization has become an essential tool in addressing the limitation of resources and need for better decision-making in the medical field. Both continuous and discrete mathematical techniques are playing an increasingly important role in understanding several fundamental problems in medicine. This volume presents a wide range of medical applications that can utilize mathematical computing. Examples include using an algorithm for considering the seed reconstruction problem in brachytherapy and using optimization-classification models to assist in the early prediction, diagnosis and detection of diseases. Discrete optimization techniques and measures derived from the theory of nonlinear dynamics, with analysis of multi-electrode electroencephalographic (EEG) data, assist in predicting impending epileptic seizures. Mathematics in medicine can also be found in recent cancer research. Sophisticated mathematical models and optimization algorithms have been used to generate treatment plans for radionuclide implant and external beam radiation therapy. Optimization techniques have also been used to automate the planning process in Gamma Knife treatment, as well as to address a variety of medical image registration problems. This work grew out of a workshop on optimization which was held during the 2005 CIM Thematic Term on Optimization in Coimbra, Portugal. It provides an overview of the state-of-the-art in optimization in medicine and will serve as an excellent reference for researchers in the medical computing community and for those working in applied mathematics and optimization.

Medicine --- Mathematical optimization. --- Mathematics. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Medical mathematics --- Medicine. --- Radiology, Medical. --- Medicine/Public Health, general. --- Optimization. --- Calculus of Variations and Optimal Control; Optimization. --- Imaging / Radiology. --- Clinical radiology --- Radiology, Medical --- Radiology (Medicine) --- Medical physics --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Health Workforce --- Calculus of variations. --- Radiology. --- Radiological physics --- Physics --- Radiation --- Isoperimetrical problems --- Variations, Calculus of