Linearized implicit methods based on a single-layer neural network: application to Keller-Segel models
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Publication:2204551
DOI10.1007/s10915-020-01310-0OpenAlexW3016191275MaRDI QIDQ2204551
Publication date: 15 October 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.03763
finite volume methodneural networkspartial differential equationslinearized schemeKeller-Segel models
Learning and adaptive systems in artificial intelligence (68T05) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion ⋮ A novel growing wavelet neural network algorithm for solving chemotaxis systems with blow‐up
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Cites Work
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- Operator splitting combined with positivity-preserving discontinuous Galerkin method for the chemotaxis model
- Semi-implicit finite volume schemes for a chemotaxis-growth model
- Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques
- Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis
- Finite volume methods for degenerate chemotaxis model
- Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations
- Initiation of slime mold aggregation viewed as an instability
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model
- Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
- The splitting mixed element method for parabolic equation and its application in chemotaxis model
- A positivity-preserving finite element method for chemotaxis problems in 3D
- DGM: a deep learning algorithm for solving partial differential equations
- Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method
- A positivity preserving moving mesh finite element method for the Keller-Segel chemotaxis model
- Mathematical models for chemotaxis and their applications in self-organisation phenomena
- A time semi-exponentially fitted scheme for chemotaxis-growth models
- Numerical solution of Poisson's equation using radial basis function networks on the polar coordinate
- A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
- A flux-corrected finite element method for chemotaxis problems
- On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
- A corrected decoupled scheme for chemotaxis models
- On discrete functional inequalities for some finite volume schemes
- LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
- Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
- Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis
- Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system
- Monotone combined edge finite volume–finite element scheme for Anisotropic Keller–Segel model
- Global existence for a parabolic chemotaxis model with prevention of overcrowding
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