Results 11 to 20 of about 3,167,714 (312)
Model Order Reduction in Neuroscience [PDF]
CoRR, 2020 The human brain contains approximately $10^9$ neurons, each with approximately $10^3$ connections, synapses, with other neurons. Most sensory, cognitive and motor functions of our brains depend on the interaction of a large population of neurons. In recent years, many technologies are developed for recording large numbers of neurons either sequentially
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Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain
Computation, 2020 In this work, we consider elastic wave propagation in fractured media. The mathematical model is described by the Helmholtz problem related to wave propagation with specific interface conditions (Linear Slip Model, LSM) on the fracture in the frequency ...
Uygulana Gavrilieva +2 more
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Dynamical reduction models [PDF]
Physics Reports, 2003 The report presents an exhaustive review of the recent attempt to overcome the difficulties that standard quantum mechanics meets in accounting for the measurement (or macro-objectification) problem, an attempt based on the consideration of nonlinear and stochastic modifications of the Schroedinger equation.
BASSI, ANGELO, GHIRARDI, GIANCARLO
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, 2020 An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions.
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Frontiers in Earth Science, 2020 Surface diabatic heating over the Tibetan Plateau (TP) is crucial for the onset and development of Asian summer monsoon (ASM), which is closely connected with the snow melting and freeze–thaw (SM-FT) processes in spring.
Chenghai Wang +5 more
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Algorithms, 2021 Parameter identification is an important research topic with a variety of applications in industrial and environmental problems. Usually, a functional has to be minimized in conjunction with parameter identification; thus, there is a certain similarity ...
Vasiliy V. Grigoriev +2 more
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Randomized model order reduction [PDF]
Advances in Computational Mathematics, 2019 Singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensionsl model which is, then, evaluated cheaply. It constitutes a building block for many techniques such as e.g.
Alla A., Kutz J. N.
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Frontiers in Energy Research, 2020 Accurate prediction of near-surface wind based on numerical weather prediction models is essential to promote efficient wind energy harvesting. In this study, the performances of different Boundary Layer (BL) schemes in Weather Research and Forecasting ...
Luyuan Chen +3 more
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Data-Completion and Model Correction by Means of Evanescent Regularization
Applied Sciences, 2023 System components are often regarded as part of a whole system, especially when it comes to data-driven modeling. Thus, subsystem modeling is disregarded in general when building a data-driven response, especially since multiple subsystem outputs are ...
Chady Ghnatios +4 more
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Mathematics, 2020 In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov +4 more
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