An augmented MFS approach for brain activity reconstruction

DOI10.1016/j.matcom.2016.11.009OpenAlexW2571953215MaRDI QIDQ2229111

Elisa Francomano, Gregory E. Fasshauer, Guido Ala, Salvatore Ganci, Michael J. McCourt

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.11.009

zbMATH Keywords

boundary value problemsmethod of fundamental solutionsLOOCV algorithmm/EEG

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Optics, electromagnetic theory (78-XX)

Related Items (5)

Separatrix reconstruction to identify tipping points in an eco-epidemiological model ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ A CUDA-based implementation of an improved SPH method on GPU ⋮ Highlighting numerical insights of an efficient SPH method ⋮ On the use of quasi-equidistant source points over the sphere surface for the method of fundamental solutions

Uses Software

• Matlab
• FieldTrip
• Brainstorm
• GaussQR

Cites Work

• Unnamed Item
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• Recent advances on radial basis function collocation methods
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• The method of fundamental solutions for elliptic boundary value problems
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• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• On choosing ``optimal shape parameters for RBF approximation
• Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• The Method of Fundamental Solutions in Solving Coupled Boundary Value Problems for M/EEG
• All well-posed problems have uniformly stable and convergent discretizations

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