• Multiscale Green's function (MSGF) is a generalized and extended version of the classical Green's function (GF) technique for solving mathematical equations...
    25 KB (3,525 words) - 08:12, 15 June 2025
  • Thumbnail for Green's function
    In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with...
    43 KB (5,810 words) - 23:26, 15 June 2025
  • Thumbnail for Computer simulation
    Molecular dynamics, Molecular mechanics, Monte Carlo method, and Multiscale Green's function. Specific examples of computer simulations include: statistical...
    29 KB (3,532 words) - 18:45, 16 April 2025
  • Thumbnail for Molecular dynamics
    Monte Carlo method Molecular design software Molecular mechanics Multiscale Green's function Car–Parrinello method Comparison of software for molecular mechanics...
    84 KB (10,403 words) - 04:17, 1 July 2025
  • terms of force constants. See, for example, the Wiki article on multiscale Green's functions. Due to the connections between atoms, the displacement of one...
    48 KB (6,990 words) - 21:24, 8 June 2025
  • Thumbnail for Microscale and macroscale models
    to multiscale modeling. One mathematical technique for multiscale modeling of nanomaterials is based upon the use of multiscale Green's function. In...
    22 KB (2,501 words) - 18:10, 25 June 2024
  • Hughes, T.J.; Sangalli, G. (2007). "Variational multiscale analysis: the fine-scale Green's function, projection, optimization, localization, and stabilized...
    31 KB (5,741 words) - 16:08, 28 September 2024
  • modelling process involves some steps, including cross-correlation, Green's function, and inversion. The usage of ambient noise as source of seismic velocity...
    18 KB (2,039 words) - 00:08, 23 May 2025
  • adaption in light-harvesting complexes of purple bacteria revealed by a multiscale modeling". Chemical Science. 10 (42): 9650–9662. doi:10.1039/C9SC02886B...
    10 KB (1,288 words) - 00:52, 2 June 2025
  • Thumbnail for Multi-scale camouflage
    of fractals, so some approaches are called fractal camouflage. Not all multiscale patterns are composed of rectangular pixels, even if they were designed...
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  • Thumbnail for Reservoir modeling
    structures are encountered, the sound wave reflects and refracts as a function of the impedance contrast between the layers. Acoustic impedance varies...
    16 KB (2,089 words) - 21:15, 27 February 2025
  • because interesting behavior takes place on the center manifold and in multiscale mathematics because the long time dynamics of the micro-scale often are...
    18 KB (2,574 words) - 21:21, 4 July 2025
  • "The ABC of DFT" (PDF). Modeling Materials Continuum, Atomistic and Multiscale Techniques, Book NIST Jarvis-DFT Clary, David C. (2024). Walter Kohn:...
    80 KB (10,626 words) - 17:26, 23 June 2025
  • has developed. See for example, linear response theory, Green–Kubo relations and Green's function (many-body theory). These complex theories provide detailed...
    39 KB (3,594 words) - 20:31, 10 April 2025
  • Thumbnail for Tomography
    discrete model of tomography Radon transform Tomographic reconstruction Multiscale tomography Voxel Herman, Gabor T. (2009). Fundamentals of Computerized...
    19 KB (1,694 words) - 05:11, 17 January 2025
  • Tribology (redirect from Green tribology)
    Popov, Valentin L.; Shilko, Evgeny V.; Vasiljeva, Olga S., eds. (2021). "Multiscale Biomechanics and Tribology of Inorganic and Organic Systems". Springer...
    58 KB (8,118 words) - 14:58, 23 May 2025
  • Thumbnail for Finite element method
    "High-dimensional finite elements for elliptic problems with multiple scales". Multiscale Modeling & Simulation. 3 (1). SIAM: 168–194. doi:10.1137/040606041 (inactive...
    60 KB (7,812 words) - 10:08, 27 June 2025
  • Wu, Jian; Gan, Yixiang; Hanaor, Dorian AH; Chen, C.Q. (1 May 2019). "Multiscale modeling of the effective elastic properties of fluid-filled porous materials"...
    20 KB (2,575 words) - 02:53, 9 June 2025
  • Diffusion wavelets are a fast multiscale framework for the analysis of functions on discrete (or discretized continuous) structures like graphs, manifolds...
    8 KB (1,026 words) - 04:19, 27 February 2025
  • Boltzmann Inversion, Inverse Monte Carlo, Force Matching (also known as the multiscale coarse-graining method) and the Relative entropy method and hybrid combinations...
    6 KB (519 words) - 16:48, 20 April 2023
  • (14s): 1–40. arXiv:2103.14636. doi:10.1145/3586074. Vig, Jesse (2019). "A Multiscale Visualization of Attention in the Transformer Model". arXiv:1906.05714...
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  • hierarchical basis function is adopted. With the above merits, DGTD method is widely implemented for the transient analysis of multiscale problems involving...
    37 KB (4,764 words) - 11:45, 27 February 2025
  • Levitt Birth & Future of Multiscale Modeling of Macromolecules Curtis Huttenhower Understanding microbial community function and the human microbiome...
    19 KB (346 words) - 23:12, 22 January 2025
  • new research cycle. Hyperparameter Mixed-design analysis of variance Multiscale modeling Random effects model Nonlinear mixed-effects model Bayesian hierarchical...
    33 KB (4,923 words) - 17:38, 21 May 2025
  • Tateishi, and Nguyen Thanh Hoan. "A hybrid pansharpening approach and multiscale object-based image analysis for mapping diseased pine and oak trees."...
    127 KB (7,858 words) - 10:04, 7 July 2025
  • Modelling of Cancer Development and Growth: Modelling at Multiple Scales and Multiscale Modelling" (PDF). Bulletin of Mathematical Biology. 80 (5): 1366–1403...
    18 KB (2,190 words) - 18:36, 29 January 2024
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    Intelligence, pp. 721–741, Vol. 6, No. 6. A. Bouman and M. Shapiro (2002): "A multiscale Random field model for Bayesian image segmentation", IEEE Transactions...
    75 KB (9,682 words) - 23:03, 19 June 2025
  • kinetics from classical and quantum mechanical perspectives. This enables multiscale (ab initio, MD, BTE and macroscale) analyses, including low-dimensionality...
    67 KB (9,679 words) - 21:11, 23 July 2024
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    the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models". Atmosphere. 14 (8):...
    145 KB (18,842 words) - 23:36, 27 June 2025
  • formulating the weakened weak form Smoothed finite element method Variational multiscale method List of finite element software packages Spectral method — based...
    70 KB (8,327 words) - 09:12, 7 June 2025