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Frank Jensen - One of the best experts on this subject based on the ideXlab platform.

  • unifying general and segmented contracted basis sets segmented polarization consistent basis sets
    Journal of Chemical Theory and Computation, 2014
    Co-Authors: Frank Jensen
    Abstract:

    We propose a method, denoted P-orthogonalization, for converting a general contracted basis set to a computationally more efficient segmented contracted basis set, while inheriting the full accuracy of the general contracted basis set. The procedure can be used for any general contracted basis set to remove the redundancies between general contracted functions in terms of primitive functions. The P-orthogonalization procedure is used to construct a segmented contracted version of the polarization consistent basis sets, which are optimized for density functional theory calculations. Benchmark calculations show that the new pcs-n basis sets provide uniform error control of the basis set incompleteness for molecular systems composed of atoms from the first three rows in the periodic table (H–Kr) and for different exchange-correlation functionals. The basis set errors at a given zeta quality level are lower than other existing basis sets, and the pcs-n basis sets are furthermore shown to be among the computat...

  • polarization consistent basis sets ii estimating the kohn sham basis set limit
    Journal of Chemical Physics, 2002
    Co-Authors: Frank Jensen
    Abstract:

    The performance of the previously proposed polarization consistent basis sets is analyzed at the Hartree–Fock and density functional levels of theory, and it is shown that each step up in basis set quality decreases the error relative to the infinite basis set limit by approximately an order of magnitude. For the largest pc-4 basis set the relative energy error is approximately 10−7, and extrapolation further improves the results by approximately a factor of 2. This provides total atomization energies for molecules with an accuracy of better than 0.01 kJ/mol per atom. The performance of many popular basis sets is evaluated based on 95 atomization energies, 42 ionization potentials and 10 molecular relative energies, and it is shown that the pc-n basis sets in all cases provides better accuracy for a similar or a smaller number of basis functions.

Martin D. Buhmann - One of the best experts on this subject based on the ideXlab platform.

  • Radial Basis Functions
    Acta Numerica, 2000
    Co-Authors: Martin D. Buhmann
    Abstract:

    From the Publisher: "In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing it is necessary to estimate parameters, usually multidimensional, by approximation and interpolation. Radial basis functions are a modern and powerful tool which work well in very general circumstances, and so are becoming of widespread use, as the limitations of other methods, such as least squares, polynomial interpolation or wavelet-based, become apparent." This is the first book devoted to the subject and the author's aim is to give a thorough treatment from both the theoretical and practical implementation viewpoints. For example, he emphasises the many positive features of radial basis functions such as the unique solvability of the interpolation problem, the computation of interpolants, their smoothness and convergence, and provides a careful classification of the radial basis functions into types that have different convergence. A comprehensive bibliography rounds off what will prove a very valuable work.

Ahmad Fauzan Fauti - One of the best experts on this subject based on the ideXlab platform.

  • pengembangan motif batik karang jenis pavona frondifera pada aplikasi batik berbasis web
    eProceedings of Engineering, 2018
    Co-Authors: Ahmad Fauzan Fauti, Purba Daru Kusuma, Andrew Brian Osmond
    Abstract:

    Abstrak Batik merupakan kerajinan dari Indonesia yang telah diakui oleh UNESCO sebagai warisan budaya dunia. Dalam pengembangannya batik memiliki begitu banyak corak, hal ini dikarenakan keranekaragaman suku dan budaya yang ada di Indonesia. Motif batik banyak dipengaruhi oleh lingkungan sekitar dari pengrajin. Keanekaragaman hayati di Indonesia dapat menjadi acuan untuk mengembangkan motif batik yang baru. Salah satunya dengan menggunakan karang sebagai motif batik. Dengan berkembangnya dunia komputasi, banyak metode yang telah dirancang untuk membuat desain motif batik. Salah satu metode yang dapat dipakai untuk membuat desain motif batik dengan LSystems. L-Systems merupakan teori matematika yang diaplikasikan dalam aplikasi grafis di komputer. Area utama pengembangan modelnya meliputi generasi fractal dan pemodelan tanaman yang realistis. Kata Kunci : Batik, Pavona Frondifera, L-System, Aplikasi Web. Abstract Batik is a craft from Indonesia that has been recognized by UNESCO as a world cultural heritage. In its development batik has so many features, this is due to the ethnic and cultural diversity in Indonesia. Batik motifs are heavily influenced by the surrounding environment of craftsmen. Biodiversity in Indonesia can be a reference for developing new batik motifs. One of them is by using coral as a batik motif. With the development of the computing world, many methods have been designed to make batik motif designs. One method that can be used to make batik motif designs with L-Systems. L-Systems is a mathematical theory applied in graphical applications on computers. The main areas for developing the model include fractal generation and realistic plant modeling. Key Word: Batik, Pavona Frondifera, L-System, Web Aplication.

  • Pengembangan Motif Batik Karang Jenis Pavona Frondifera pada Aplikasi Batik Berbasis Web
    Universitas Telkom, 2018
    Co-Authors: Ahmad Fauzan Fauti
    Abstract:

    Batik merupakan kerajinan dari Indonesia yang telah diakui oleh UNESCO sebagai warisan budaya dunia. Dalam pengembangannya batik memiliki begitu banyak corak, hal ini dikarenakan keranekaragaman suku dan budaya yang ada di Indonesia. Motif batik banyak dipengaruhi oleh lingkungan sekitar dari pengrajin. Keanekaragaman hayati di Indonesia dapat menjadi acuan untuk mengembangkan motif batik yang baru. Salah satunya dengan menggunakan karang sebagai motif batik. Dengan berkembangnya dunia komputasi, banyak metode yang telah dirancang untuk membuat desain motif batik. Salah satu metode yang dapat dipakai untuk membuat desain motif batik dengan L-Systems. L-Systems merupakan teori matematika yang diaplikasikan dalam aplikasi grafis di komputer. Area utama pengembangan modelnya meliputi generasi fractal dan pemodelan tanaman yang realistis. Pada tugas penelitian ini, telah dibuat motif karang jenis pavona frondifera dengan menggunakan metode L-System. Pada pembuatan motif karang ini, terdapat beberapa operasi matematika yang memiliki fungsi untuk membentuk gambar karang. Dari hasil pengujian dengan melakukan survey, 98% responden menyetujui adanya pengembangan motif batik bentuk karang. Dari hasil survey juga, 63% responden telah menyatakan motif karang pavona frondifera yang dibuat sudah cukup baik

Pedro González-rodríguez - One of the best experts on this subject based on the ideXlab platform.

  • Radial basis function interpolation in the limit of increasingly flat basis functions
    Journal of Computational Physics, 2016
    Co-Authors: Manuel Kindelan, Miguel Moscoso, Pedro González-rodríguez
    Abstract:

    Abstract We propose a new approach to study Radial Basis Function (RBF) interpolation in the limit of increasingly flat functions. The new approach is based on the semi-analytical computation of the Laurent series of the inverse of the RBF interpolation matrix described in a previous paper [3] . Once the Laurent series is obtained, it can be used to compute the limiting polynomial interpolant, the optimal shape parameter of the RBFs used for interpolation, and the weights of RBF finite difference formulas, among other things.

Andrew Brian Osmond - One of the best experts on this subject based on the ideXlab platform.

  • pengembangan motif batik karang jenis pavona frondifera pada aplikasi batik berbasis web
    eProceedings of Engineering, 2018
    Co-Authors: Ahmad Fauzan Fauti, Purba Daru Kusuma, Andrew Brian Osmond
    Abstract:

    Abstrak Batik merupakan kerajinan dari Indonesia yang telah diakui oleh UNESCO sebagai warisan budaya dunia. Dalam pengembangannya batik memiliki begitu banyak corak, hal ini dikarenakan keranekaragaman suku dan budaya yang ada di Indonesia. Motif batik banyak dipengaruhi oleh lingkungan sekitar dari pengrajin. Keanekaragaman hayati di Indonesia dapat menjadi acuan untuk mengembangkan motif batik yang baru. Salah satunya dengan menggunakan karang sebagai motif batik. Dengan berkembangnya dunia komputasi, banyak metode yang telah dirancang untuk membuat desain motif batik. Salah satu metode yang dapat dipakai untuk membuat desain motif batik dengan LSystems. L-Systems merupakan teori matematika yang diaplikasikan dalam aplikasi grafis di komputer. Area utama pengembangan modelnya meliputi generasi fractal dan pemodelan tanaman yang realistis. Kata Kunci : Batik, Pavona Frondifera, L-System, Aplikasi Web. Abstract Batik is a craft from Indonesia that has been recognized by UNESCO as a world cultural heritage. In its development batik has so many features, this is due to the ethnic and cultural diversity in Indonesia. Batik motifs are heavily influenced by the surrounding environment of craftsmen. Biodiversity in Indonesia can be a reference for developing new batik motifs. One of them is by using coral as a batik motif. With the development of the computing world, many methods have been designed to make batik motif designs. One method that can be used to make batik motif designs with L-Systems. L-Systems is a mathematical theory applied in graphical applications on computers. The main areas for developing the model include fractal generation and realistic plant modeling. Key Word: Batik, Pavona Frondifera, L-System, Web Aplication.