A convergent numerical scheme for integrodifferential kinetic models of angiogenesis
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Publication:2002329
DOI10.1016/j.jcp.2018.09.008zbMath1416.92087OpenAlexW2892051891MaRDI QIDQ2002329
Gema Duro, Manuel Carretero, Filippo Terragni, Mihaela Negreanu, Ana Carpio, Luis L. Bonilla
Publication date: 11 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://eprints.ucm.es/55851/1/53pre.pdf
Integro-partial differential equations (45K05) Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to biology (92-08) Integro-partial differential equations (35R09)
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Uses Software
Cites Work
- Well posedness of an integrodifferential kinetic model of Fokker-Planck type for angiogenesis
- A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth-Fokker-Planck equation
- Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties
- Comparison of Eulerian Vlasov solvers
- Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in two dimensions
- A conservative high order semi-Lagrangian WENO method for the Vlasov equation
- Stochastic modelling of tumour-induced angiogenesis
- The semi-Lagrangian method for the numerical resolution of the Vlasov equation
- Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation
- An implicit Vlasov-Fokker-Planck code to model non-local electron transport in 2-D with magnetic fields.
- Numerical solution of non-linear Fokker-Planck equation using finite differences method and the cubic spline functions
- A review of mathematical models for the formation of vascular networks
- Modeling and computational methods for kinetic equations
- An implicit energy-conservative 2D Fokker-Planck algorithm. I: Difference scheme
- Diffusion front capturing schemes for a class of Fokker-Planck equations: application to the relativistic heat equation
- Constructing solutions for a kinetic model of angiogenesis in annular domains
- A Particle-in-cell Method with Adaptive Phase-space Remapping for Kinetic Plasmas
- Particle Methods for the One-Dimensional Vlasov–Poisson Equations
- CONVERGENCE OF A hp-STREAMLINE DIFFUSION SCHEME FOR VLASOV–FOKKER–PLANCK SYSTEM
- Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in $1$ and $2$ space dimensions
- On Deterministic Particle Methods for Solving Vlasov--Poisson--Fokker--Planck Systems
- Convergence analysis of the streamline diffusion and discontinuous Galerkin methods for the Vlasov-Fokker-Planck system
- The Numerical Analysis of Random Particle Methods Applied to Vlasov–Poisson Fokker-Planck Kinetic Equations
- On the mean field approximation of a stochastic model of tumour-induced angiogenesis
- Computational Models of Sprouting Angiogenesis and Cell Migration: Towards Multiscale Mechanochemical Models of Angiogenesis
- Multiscale Angiogenesis Modeling Using Mixed Finite Element Methods
- Conservative numerical schemes for the Vlasov equation
