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检索条件"机构=Scientific Computing and Numerical Analysis"
125 条 记 录,以下是21-30 订阅
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Hexagons all the way down: grid cells as a conformal isometric map of space
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PLoS Computational Biology 2025年 第2期21卷 e1012804页
作者: Schøyen, Vemund Sigmundson Beshkov, Kosio Pettersen, Markus Borud Hermansen, Erik Holzhausen, Konstantin Malthe-Sørenssen, Anders Fyhn, Marianne Lepperød, Mikkel Elle Department of Biosciences University of Oslo Oslo Norway Department of Physics University of Oslo Oslo Norway Department of Mathematical Sciences Norwegian University of Science and Technology Trondheim Norway Department of Numerical Analysis and Scientific Computing Simula Research Laboratory AS Oslo Norway
Grid cells in the entorhinal cortex are known for their hexagonal spatial activity patterns and are thought to provide a neural metric for space, and support path integration. In this study, we further investigate gri... 详细信息
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FULLY DISCRETE analysis OF THE GALERKIN POD NEURAL NETWORK APPROXIMATION WITH APPLICATION TO 3D ACOUSTIC WAVE SCATTERING
arXiv
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arXiv 2025年
作者: Dölz, Jürgen Henríquez, Fernando Institute for Numerical Simulation University of Bonn Friedrich-Hirzebruch-Allee 7 Bonn53115 Germany Institute for Analysis and Scientific Computing Vienna University of Technology Wiedner Hauptstrae 8-10 WienA-1040 Austria
In this work, we consider the approximation of parametric maps using the so-called Galerkin POD-NN method. This technique combines the computation of a reduced basis via proper orthogonal decomposition (POD) and artif... 详细信息
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Conservation Properties of the Augmented Basis Update & Galerkin Integrator for Kinetic Problems
SSRN
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SSRN 2023年
作者: Einkemmer, Lukas Daniel Kusch, Jonas Schotthöfer, Steffen University of Innsbruck Numerical Analysis and Scientific Computing Innsbruck Austria Norwegian University of Life Sciences Scientific Computing Ås Norway Computer Science and Mathematics Division Oak Ridge National Laboratory Oak RidgeTN37831 United States
numerical simulations of kinetic problems can become prohibitively expensive due to their large memory footprint and computational costs. A method that has proven to successfully reduce these costs is the dynamical lo... 详细信息
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Isometric Representations in Neural Networks Improve Robustness
arXiv
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arXiv 2022年
作者: Beshkov, Kosio Verhellen, Jonas Lepperød, Mikkel Elle Department of Biosciences University of Oslo Norway Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Norway
Artificial and biological agents are unable to learn given completely random and unstructured data. The structure of data is encoded in the distance or similarity relationships between data points. In the context of n... 详细信息
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Conservation properties of the augmented basis update & Galerkin integrator for kinetic problems
arXiv
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arXiv 2023年
作者: Einkemmer, Lukas Kusch, Jonas Schotthöfer, Steffen University of Innsbruck Numerical Analysis and Scientific Computing Innsbruck Austria Norwegian University of Life Sciences Scientific Computing Ås Norway Computer Science and Mathematics Division Oak Ridge National Laboratory Oak RidgeTN37831 United States
numerical simulations of kinetic problems can become prohibitively expensive due to their large memory footprint and computational costs. A method that has proven to successfully reduce these costs is the dynamical lo... 详细信息
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Exploring Biologically Inspired Mechanisms of Adversarial Robustness
arXiv
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arXiv 2024年
作者: Holzhausen, Konstantin Merlid, Mia Torvik, Håkon Olav Malthe-Sørenssen, Anders Lepperød, Mikkel Elle Department of Physics University of Oslo Sem Sælands vei 24 Fysikkbygningen Oslo0371 Norway Department of Numerical Analysis and Scientific Computing Simula Reserach Laboratory Kristian Augusts gate 23 Oslo0164 Norway
Backpropagation-optimized artificial neural networks, while precise, lack robustness, leading to unforeseen behaviors that affect their safety. Biological neural systems do solve some of these issues already. Unlike a... 详细信息
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PARAMETER-ROBUST PRECONDITIONERS FOR A FOUR-FIELD THERMO-POROELASTICITY MODEL
arXiv
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arXiv 2025年
作者: Cai, Mingchao Kuchta, Miroslav Li, Jingzhi Li, Ziliang Mardal, Kent-Andre Department of Mathematics Morgan State University BaltimoreMD21251 United States Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo0164 Norway Department of Mathematics Southern University of Science and Technology Shenzhen518055 China
We study a thermo-poroelasticity model which describes the interaction between the deformation of an elastic porous material and fluid flow under non-isothermal conditions. The model involves several parameters that c... 详细信息
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DISCONTINUOUS GALERKIN METHODS FOR 3D–1D SYSTEMS
arXiv
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arXiv 2023年
作者: Masri, Rami Kuchta, Miroslav Riviere, Beatrice Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo0164 Norway Department of Computational Applied Mathematics and Operations Research Rice University HoustonTX77005 United States
We propose and analyze discontinuous Galerkin (dG) approximations to 3D-1D coupled systems which model diffusion in a 3D domain containing a small inclusion reduced to its 1D centerline. Convergence to weak solutions ... 详细信息
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OPTIMAL CONTROL OF THE LANDAU-DE GENNES MODEL OF NEMATIC LIQUID CRYSTALS
arXiv
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arXiv 2023年
作者: Surowiec, Thomas M. Walker, Shawn W. Simula Research Laboratory Department of Numerical Analysis and Scientific Computing Kristian Augusts gate 23 Oslo0164 Norway Louisiana State University Baton RougeLA70803 United States
We present an analysis and numerical study of an optimal control problem for the Landau-de Gennes (LdG) model of nematic liquid crystals (LCs), which is a crucial component in modern technology. They exhibit long rang... 详细信息
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analysis OF THE SIMPL METHOD FOR DENSITY-BASED TOPOLOGY OPTIMIZATION
arXiv
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arXiv 2024年
作者: Keith, Brendan Kim, Dohyun Lazarov, Boyan S. Surowiec, Thomas M. Division of Applied Mathematics Brown University ProvidenceRI02912 United States Lawrence Livermore National Laboratory LivermoreCA94550 United States Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo0164 Norway
We present a rigorous convergence analysis of a new method for density-based topology optimization that provides point-wise bound preserving design updates and faster convergence than other popular first-order topolog... 详细信息
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