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Titlebook: Computational Science – ICCS 2020; 20th International C Valeria V. Krzhizhanovskaya,Gábor Závodszky,João T Conference proceedings 2020 Spri

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S. G. Melgar,J. M. Andújar,M. A. Bohórquezalled the fast PIES, in solving potential 2D boundary value problems with complex shapes. The modified binary tree proposed in this paper is built based on a one-dimensional reference system contrary to a quad-tree (based on a two-dimensional reference system) which is applied in the fast multipole
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https://doi.org/10.1007/978-3-319-51442-0Hessian, what is cubic with respect to the number of attributes. We study a special case when the number of samples . is smaller than the number of attributes ., and we prove that using previously computed QR factorization of the data matrix, Hessian inversion in each step can be performed significa
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Parishmita Gogoi,Alka Maheshwarin a direct approach to generate meshes on geometries with curved boundaries. Our advancing front method yields high-quality triangular elements in each iteration which omits the need for post-processing steps. We present several numerical examples of second-order curvilinear triangular meshes of pat
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https://doi.org/10.1007/978-3-031-62509-1 Jacobian of some mathematical function given in the form of a computer program, automatic differentiation enables the efficient and accurate evaluation of Jacobian-vector products and transposed Jacobian-vector products in a matrix-free fashion. Standard preconditioning techniques, however, typical
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Elizabeth A. Roumell,Sarah Haroon Sualehies into the mathematical formalism of the parametric integral equations system method (PIES) is proposed. The advantages of such an application are widely discussed. Recently, the Bezier curves, mainly the cubic curves (of third-degree), were used. The segments of the boundary shape were modeled by
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https://doi.org/10.1007/978-3-031-62509-1complex simulation models. Existing approaches involve the application of either time-consuming model reduction techniques or resource-demanding statistical approaches. Such requirements prevent any opportunistic model exploration, e.g., exploring various scenarios on environmental models. This limi
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