Advanced Methods For Geometric Modeling And Numerical Simulation


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Advanced Methods for Geometric Modeling and Numerical Simulation


Advanced Methods for Geometric Modeling and Numerical Simulation

Author: Carlotta Giannelli

language: en

Publisher: Springer Nature

Release Date: 2019-09-18


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This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.

Meshing, Geometric Modeling and Numerical Simulation, Volume 2


Meshing, Geometric Modeling and Numerical Simulation, Volume 2

Author: Paul Louis George

language: en

Publisher: John Wiley & Sons

Release Date: 2019-01-24


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Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this vision of meshing. These mesh adaptations are generally governed by a posteriori error estimators representing an increase of the error with respect to a size or metric. Independently of this metric of calculation, compliance with a geometry can also be calculated using a so-called geometric metric. The notion of mesh thus finds its meaning in the metric of its elements.

Analysis, Geometry, and Modeling in Finance


Analysis, Geometry, and Modeling in Finance

Author: Pierre Henry-Labordere

language: en

Publisher: CRC Press

Release Date: 2008-09-22


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Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th