Construction of Finsler‐Lyapunov functions with meshless collocation
نویسندگان
چکیده
منابع مشابه
Results on Meshless Collocation Techniques
Though the technique introduced by E. Kansa [7, 8] is very successful in engineering applications, there were no proven results so far on the unsymmetric meshless collocation method for solving PDE boundary value problems in strong form. While the original method cannot be proven to be fail–safe in general, we prove asymptotic feasibility for a generalized variant using separated trial and test...
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15 صفحه اولStable and Convergent Unsymmetric Meshless Collocation Methods
In the theoretical part of this paper, we introduce a simplified proof technique for error bounds and convergence of a variation of E. Kansa’s well-known unsymmetric meshless collocation method. For a numerical implementation of the convergent variation, a previously proposed greedy technique is coupled with linear optimization. This algorithm allows a fully adaptive on-the-fly data-dependent m...
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ژورنال
عنوان ژورنال: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
سال: 2019
ISSN: 0044-2267,1521-4001
DOI: 10.1002/zamm.201800141