Multiscale Green's function (MSGF) is a generalized and extended version of the classical Green's function (GF) technique for solving mathematical equations...

In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with...

Molecular dynamics, Molecular mechanics, Monte Carlo method, and Multiscale Green's function. Specific examples of computer simulations include: statistical...

Monte Carlo method Molecular design software Molecular mechanics Multiscale Green's function Car–Parrinello method Comparison of software for molecular mechanics...

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...

Hughes, T.J.; Sangalli, G. (2007). "Variational multiscale analysis: the fine-scale Green's function, projection, optimization, localization, and stabilized...

to multiscale modeling. One mathematical technique for multiscale modeling of nanomaterials is based upon the use of multiscale Green's function. In...

modelling process involves some steps, including cross-correlation, Green's function, and inversion. The usage of ambient noise as source of seismic velocity...

adaption in light-harvesting complexes of purple bacteria revealed by a multiscale modeling". Chemical Science. 10 (42): 9650–9662. doi:10.1039/C9SC02886B...

of fractals, so some approaches are called fractal camouflage. Not all multiscale patterns are composed of rectangular pixels, even if they were designed...

structures are encountered, the sound wave reflects and refracts as a function of the impedance contrast between the layers. Acoustic impedance varies...

"The ABC of DFT" (PDF). Modeling Materials Continuum, Atomistic and Multiscale Techniques, Book NIST Jarvis-DFT Clary, David C. (2024). Walter Kohn:...

because interesting behavior takes place on the center manifold and in multiscale mathematics because the long time dynamics of the micro-scale often are...

has developed. See for example, linear response theory, Green–Kubo relations and Green's function (many-body theory). These complex theories provide detailed...

Popov, Valentin L.; Shilko, Evgeny V.; Vasiljeva, Olga S., eds. (2021). "Multiscale Biomechanics and Tribology of Inorganic and Organic Systems". Springer...

discrete model of tomography Radon transform Tomographic reconstruction Multiscale tomography Voxel Herman, Gabor T. (2009). Fundamentals of Computerized...

"High-dimensional finite elements for elliptic problems with multiple scales". Multiscale Modeling & Simulation. 3 (1). SIAM: 168–194. doi:10.1137/040606041 (inactive...

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"...

hierarchical basis function is adopted. With the above merits, DGTD method is widely implemented for the transient analysis of multiscale problems involving...

Diffusion wavelets are a fast multiscale framework for the analysis of functions on discrete (or discretized continuous) structures like graphs, manifolds...

Boltzmann Inversion, Inverse Monte Carlo, Force Matching (also known as the multiscale coarse-graining method) and the Relative entropy method and hybrid combinations...

(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...

Levitt Birth & Future of Multiscale Modeling of Macromolecules Curtis Huttenhower Understanding microbial community function and the human microbiome...

Tateishi, and Nguyen Thanh Hoan. "A hybrid pansharpening approach and multiscale object-based image analysis for mapping diseased pine and oak trees."...

new research cycle. Hyperparameter Mixed-design analysis of variance Multiscale modeling Random effects model Nonlinear mixed-effects model Bayesian hierarchical...

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...

development of multiscale models for complex chemical systems" 2013 Michael Levitt Pretoria, South Africa "for the development of multiscale models for complex...

kinetics from classical and quantum mechanical perspectives. This enables multiscale (ab initio, MD, BTE and macroscale) analyses, including low-dimensionality...

the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models". Atmosphere. 14 (8):...

ISBN 978-0-19-967814-3. Miura, T (2008). "Modeling Lung Branching Morphogenesis". Multiscale Modeling of Developmental Systems. Current Topics in Developmental Biology...