Аннотация:
В работе изложены методы получения квадратурных формул типа Гаусса для сферы в трехмерном пространстве 25–29-го порядка точности, инвариантных относительно группы октаэдра с инверсией. Приведены таблицы с двенадцатью знаками весов и узлов четырех квадратурных формул.
Образец цитирования:
В. И. Лебедев, “Квадратурные формулы для сферы 25–29-го порядка точности”, Сиб. матем. журн., 18:1 (1977), 132–142; Siberian Math. J., 18:1 (1977), 99–107
Эта публикация цитируется в следующих 170 статьяx:
Moritz Gubler, Jonas A. Finkler, Stig Rune Jensen, Stefan Goedecker, Luca Frediani, “Noise-Tolerant Force Calculations in Density Functional Theory: A Surface Integral Approach for Wavelet-Based Methods”, J. Phys. Chem. A, 2025
Riccardo Alberini, Michele Terzano, Gerhard A. Holzapfel, Andrea Spagnoli, “A discrete fiber dispersion model with octahedral symmetry quadrature for mechanical analyses of skin corrective surgeries”, Computer Methods in Applied Mechanics and Engineering, 438 (2025), 117809
Jiale Zhao, Dingding Yao, Junfeng Li, “Head-Related Transfer Function Upsampling With Spatial Extrapolation Features”, IEEE Trans. Audio, Speech Lang. Process., 33 (2025), 1034
Antigoni Kleanthous, Anthony J. Baran, Timo Betcke, David P. Hewett, Christopher D. Westbrook, “An application of the boundary element method (BEM) to the calculation of the single-scattering properties of very complex ice crystals in the microwave and sub-millimetre regions of the electromagnetic spectrum”, Journal of Quantitative Spectroscopy and Radiative Transfer, 312 (2024), 108793
Jacques K. Desmarais, Giacomo Ambrogio, Giovanni Vignale, Alessandro Erba, Stefano Pittalis, “Generalized Kohn-Sham approach for the electronic band structure of spin-orbit coupled materials”, Phys. Rev. Materials, 8:1 (2024)
Sebastian P. Sitkiewicz, Rubén R. Ferradás, Eloy Ramos-Cordoba, Robert Zaleśny, Eduard Matito, Josep M. Luis, “Spurious Oscillations Caused by Density Functional Approximations: Who is to Blame? Exchange or Correlation?”, J. Chem. Theory Comput., 20:8 (2024), 3144
Christoph Pörschmann, Johannes M. Arend, “On the impact of downward-directed human voice radiation on ground reflections”, Acta Acust., 8 (2024), 12
Ian Tan, John S. Biggins, Thierry Savin, “New two-parameter constitutive models for rubber-like materials: Revisiting the relationship between single chain stretch and continuum deformation”, European Journal of Mechanics - A/Solids, 108 (2024), 105398
Alireza Tehrani, Xiaotian Derrick Yang, Marco Martínez-González, Leila Pujal, Raymundo Hernández-Esparza, Matthew Chan, Esteban Vöhringer-Martinez, Toon Verstraelen, Paul W. Ayers, Farnaz Heidar-Zadeh, “Grid: A Python library for molecular integration, interpolation, differentiation, and more”, The Journal of Chemical Physics, 160:17 (2024)
Jacques K. Desmarais, Jefferson Maul, Bartolomeo Civalleri, Alessandro Erba, Giovanni Vignale, Stefano Pittalis, “Spin Currents via the Gauge Principle for Meta-Generalized Gradient Exchange-Correlation Functionals”, Phys. Rev. Lett., 132:25 (2024)
Francesco F. Summa, Guglielmo Monaco, Riccardo Zanasi, “Standard Response Calculation of Electric Dipole Polarizability and Specific Optical Rotation Power Densities”, ChemPhysChem, 2024
Albanela Dulaj, Sef Peeters, Payam Poorsolhjouy, Theo A.M. Salet, Sandra S. Lucas, “Combined analytical and numerical modelling of the electrical conductivity of 3D printed carbon nanotube-cementitious nanocomposites”, Materials & Design, 246 (2024), 113324
Alexander Blech, Raoul M. M. Ebeling, Marec Heger, Christiane P. Koch, Daniel M. Reich, “Numerical evaluation of orientation averages and its application to molecular physics”, The Journal of Chemical Physics, 161:13 (2024)
Inkoo Kim, Daun Jeong, Leah P. Weisburn, Alexandra Alexiu, Troy Van Voorhis, Young Min Rhee, Won-Joon Son, Hyung-Jin Kim, Jinkyu Yim, Sungmin Kim, Yeonchoo Cho, Inkook Jang, Seungmin Lee, Dae Sin Kim, “Very-Large-Scale GPU-Accelerated Nuclear Gradient of Time-Dependent Density Functional Theory with Tamm–Dancoff Approximation and Range-Separated Hybrid Functionals”, J. Chem. Theory Comput., 2024
А. С. Попов, “Поиск наилучших кубатурных формул на сфере, инвариантных относительно группы вращений икосаэдра”, Сиб. журн. вычисл. матем., 26:4 (2023), 415–430
So Hirata, “Nonvanishing quadrature derivatives in the analytical gradients of density functional energies in crystals and helices”, Molecular Physics, 121:9-10 (2023)
Inkoo Kim, Daun Jeong, Won-Joon Son, Hyung-Jin Kim, Young Min Rhee, Yongsik Jung, Hyeonho Choi, Jinkyu Yim, Inkook Jang, Dae Sin Kim, “Kohn–Sham time-dependent density functional theory with Tamm–Dancoff approximation on massively parallel GPUs”, npj Comput Mater, 9:1 (2023)
Alessandro Erba, Jacques K. Desmarais, Silvia Casassa, Bartolomeo Civalleri, Lorenzo Donà, Ian J. Bush, Barry Searle, Lorenzo Maschio, Loredana Edith-Daga, Alessandro Cossard, Chiara Ribaldone, Eleonora Ascrizzi, Naiara L. Marana, Jean-Pierre Flament, Bernard Kirtman, “CRYSTAL23: A Program for Computational Solid State Physics and Chemistry”, J. Chem. Theory Comput., 19:20 (2023), 6891
Ozan Ozdemir, Tolga Kirgezen, Efe Can, Ozgur Yigit, “Association of Stress and Laryngopharyngeal Reflux with Vocal Fold Polyps”, Haseki, 61:5 (2023), 366
Javier Carmona-Espíndola, José L. Gázquez, “Study of a smooth interpolation between Hirshfeld and iterative Hirshfeld population analyses”, Computational and Theoretical Chemistry, 1229 (2023), 114335