An adaptive hybrid quadrature scheme: Combining Simpson's rule and Gaussian quadrature for enhanced numerical integration. [PDF]
PLoS ONEThis study develops a novel adaptive hybrid quadrature that combines Simpson's 1/3 rule with Gauss-Legendre quadrature to overcome the classical difficulties in performing numerical integration.
Abadi Abraha Asgedom +1 more
doaj +2 more sources
Partial differential equations for oceanic artificial intelligence [PDF]
ESAIM: Proceedings and Surveys, 2021 The Sea Surface Temperature (SST) plays a significant role in analyzing and assessing the dynamics of weather and also biological systems. It has various applications such as weather forecasting or planning of coastal activities.
Guillot Jules +5 more
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ICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer ScienceICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer Science [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996 +12 more sources
Human intracranial pulsatility during the cardiac cycle: a computational modelling framework
Fluids and Barriers of the CNS, 2022 Background Today’s availability of medical imaging and computational resources set the scene for high-fidelity computational modelling of brain biomechanics. The brain and its environment feature a dynamic and complex interplay between the tissue, blood,
Marius Causemann +2 more
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CSF circulation and dispersion yield rapid clearance from intracranial compartments
Frontiers in Bioengineering and Biotechnology, 2022 In this paper, we used a computational model to estimate the clearance of a tracer driven by the circulation of cerebrospinal fluid (CSF) produced in the choroid plexus (CP) located within the lateral ventricles.
Martin Hornkjøl +10 more
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Brain solute transport is more rapid in periarterial than perivenous spaces
Scientific Reports, 2021 Fluid flow in perivascular spaces is recognized as a key component underlying brain transport and clearance. An important open question is how and to what extent differences in vessel type or geometry affect perivascular fluid flow and transport.
Vegard Vinje +2 more
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Intracranial pressure elevation alters CSF clearance pathways
Fluids and Barriers of the CNS, 2020 Background Infusion testing is a common procedure to determine whether shunting will be beneficial in patients with normal pressure hydrocephalus. The method has a well-developed theoretical foundation and corresponding mathematical models that describe ...
Vegard Vinje +4 more
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Investigating molecular transport in the human brain from MRI with physics-informed neural networks
Scientific Reports, 2022 In recent years, a plethora of methods combining neural networks and partial differential equations have been developed. A widely known example are physics-informed neural networks, which solve problems involving partial differential equations by ...
Bastian Zapf +5 more
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8th conference on Finite Volumes for Complex Applications
, 2017 This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of ...
Omnes, Pascal, Cancès, Clément
core +3 more sources
Analysis, scientific computing and fundamental studies in fluid mechanics. Summary report number 19, May 1, 1995--April 30, 1996 [PDF]
, 1996 Summaries are given of the progress on each of the following research projects: (1) a multi-resolution finite element method for computing multiscale solutions; (2) numerical study of free interface problems; (3) numerical simulation of two-dimensional ...
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