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检索条件"机构=Scientific Computing and Numerical Analysis"
124 条 记 录,以下是21-30 订阅
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SCALABLE APPROXIMATION AND SOLVERS FOR IONIC ELECTRODIFFUSION IN CELLULAR GEOMETRIES
arXiv
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arXiv 2024年
作者: Benedusi, Pietro Ellingsrud, Ada J. Herlyng, Halvor Rognes, Marie E. Department for Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo Norway
The activity and dynamics of excitable cells are fundamentally regulated and moderated by extracellular and intracellular ion concentrations and their electric potentials. The increasing availability of dense reconstr... 详细信息
来源: 评论
A SPLITTING, DISCONTINUOUS GALERKIN SOLVER FOR THE CELL-BY-CELL ELECTRONEUTRAL NERNST-PLANCK FRAMEWORK
arXiv
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arXiv 2024年
作者: Ellingsrud, Ada J. Kuchta, Miroslav Department for Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo Norway
Mathematical models for excitable tissue with explicit representation of individual cells are highly detailed and can, unlike classical homogenized models, represent complex cellular geometries and local membrane vari... 详细信息
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Multiscale Models in Mechano and Tumor Biology  1
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丛书名: Lecture Notes in Computational Science and Engineering
1000年
作者: Alf Gerisch Jens Lang Raimondo Penta
来源: 评论
AFast Solver for an H_(1) Regularized PDE-Constrained Optimization Problem
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Communications in Computational Physics 2016年 第1期19卷 143-167页
作者: Andrew T.Barker Tyrone Rees Martin Stoll Center for Applied Scientific Computing Lawrence Livermore National LaboratoryMail Stop L-561LivermoreCA 94551USA Numerical Analysis Group Scientific Computing DepartmentRutherford Appleton LaboratoryChiltonDidcotOxfordshireOX110QXUnited Kingdom Computational Methods in Systems and Control Theory Max Planck Institute for Dynamics of Complex Technical SystemsSandtorstr.139106MagdeburgGermany
In this paperwe consider PDE-constrained optimization problemswhich incorporate an H_(1)regularization control *** focus on a time-dependent PDE,and consider both distributed and boundary *** problems we consider incl... 详细信息
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Stability of step size control based on a posteriori error estimates
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Computational Science and Engineering 2024年 第1期1卷 1-23页
作者: Ranocha, Hendrik Giesselmann, Jan Institute of Mathematics Johannes Gutenberg University Mainz Mainz Germany Numerical Analysis and Scientific Computing Technical University of Darmstadt Darmstadt Germany
A posteriori error estimates based on residuals can be used for reliable error control of numerical methods. Here, we consider them in the context of ordinary differential equations and Runge-Kutta methods. In particu...
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An accurate numerical method for computation of two-phase flows with surfactants
An accurate numerical method for computation of two-phase fl...
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6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
作者: Ganesan, Sashikumaar Hahn, Andreas Held, Kristin Tobiska, Lutz Numerical Mathematics and Scientific Computing SERC Indian Institute of Science Bangalore 560012 India Institut für Analysis und Numerik Otto-von-Guericke-Universität Magdeburg Postfach 4120 D-39016 Magdeburg Germany
numerical computations of two-phase flows with surface active agents (surfactants) are highly demanded in several scientific and engineering applications. Apart from the other challenges associated with the computatio... 详细信息
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Regularity for Diffusion Equations with Non-smooth Data
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Results in Mathematics 2023年 第4期78卷 1-22页
作者: Dondl, Patrick Zeinhofer, Marius Department of Applied Mathematics University of Freiburg Freiburg im Breisgau Germany Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo Norway
We prove an $$L^p(I,C^\alpha (\Omega ))$$ regularity result for a diffusion equation with mixed boundary conditions, $$L^\infty $$ coefficients and an $$L^{ q }$$ initial condition. We provide explicit control of the ...
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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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From low-rank retractions to dynamical low-rank approximation and back
arXiv
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arXiv 2023年
作者: Séguin, Axel Ceruti, Gianluca Kressner, Daniel Institute of Mathematics LausanneCH-1015 Switzerland University of Innsbruck Numerical Analysis and Scientific Computing Innsbruck Austria
In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More recently, it has been demonstrated that ... 详细信息
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Degenerate Cahn-Hilliard and incompressible limit of a Keller-Segel model
arXiv
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arXiv 2021年
作者: Elbar, Charles Perthame, Benoît Poulain, Alexandre ParisF-75005 France Department of Numerical Analysis and Scientific Computing Simula Research Laboratory Oslo Norway
The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study the convergence of a generalized nonlinear variant of the Keller-Segel to the degenerate Cahn-Hilliard system. This a... 详细信息
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