| 书目名称 | Mathematical and Computational Methods for Modelling, Approximation and Simulation | | 编辑 | Domingo Barrera,Sara Remogna,Driss Sbibih | | 视频video | | | 概述 | Recent advances in reducing Runge and Gibbs phenomena.Difficulties in studying models depending on the highly non-linear behaviour of a system of PDEs.Quasi-interpolation and numerical solution of int | | 丛书名称 | SEMA SIMAI Springer Series | | 图书封面 |  | | 描述 | This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models. The book includes nine contributions, mostly related to quasi-interpolation. This is a topic that continues to register a high level of interest, both for those working in the field of approximation theory and for those interested in its use in a practical context. Two chapters address the construction of quasi-interpolants, and three others focus on the use of quasi-interpolation in solving integral equations. The remaining four concern a problem related to the heat diffusion equation, new results on the notion of convexity in probabilistic metric spaces (which are applied to the study of the existence and uniqueness of the solution of a Volterra equation), the use of smoothing splines to address an economic problem and, finally, the analy | | 出版日期 | Conference proceedings 2022 | | 关键词 | Splines; Integral equations; Interpolation; Quasi-interpolation; Partial differential equations | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-94339-4 | | isbn_softcover | 978-3-030-94341-7 | | isbn_ebook | 978-3-030-94339-4Series ISSN 2199-3041 Series E-ISSN 2199-305X | | issn_series | 2199-3041 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:40:46
