High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
type: Item
instance of: scholarly article
title: High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
zbMATH Open document ID: 1380.92011
author: Yekaterina Epshteyn
author: H. Hu
author: Alexander Kurganov
author: Alina Chertock
published in: Advances in Computational Mathematics
publication date: 2018-02-14T00:00:00Z
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35M10
zbMATH DE Number: 6838734
zbMATH Keywords: Patlak-Keller-Segel chemotaxis system
zbMATH Keywords: advection-diffusion-reaction systems
zbMATH Keywords: high-order finite-difference
zbMATH Keywords: finite-volume methods
zbMATH Keywords: positivity-preserving algorithms
describes a project that uses: Chemotaxis
MaRDI profile type: Publication
full work available at URL: s10444-017-9545-9
OpenAlex ID: W2737417353
cites work: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
cites work: Volume effects in the Keller--Segel model: energy estimates preventing blow-up
cites work: A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
cites work: Nonlinear aspects of chemotaxis
cites work: Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in2
cites work: Upwind-difference potentials method for Patlak-Keller-Segel chemotaxis model
cites work: Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
cites work: New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
cites work: Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species.
cites work: A note on non-simultaneous blow-up for a drift-diffusion model.
cites work: Sharp condition for blow-up and global existence in a two species chemotactic Keller-Segel system in \(\mathbb R^2\)
cites work: Simultaneous finite time blow-up in a two-species model for chemotaxis
cites work: EQUILIBRIUM OF TWO POPULATIONS SUBJECT TO CHEMOTAXIS
cites work: A finite volume scheme for the Patlak-Keller-Segel chemotaxis model
cites work: Q3059670
cites work: Strong stability-preserving high-order time discretization methods
cites work: Q4398321
cites work: A user's guide to PDE models for chemotaxis
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
cites work: From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
cites work: Q4421310
cites work: Initiation of slime mold aggregation viewed as an instability
cites work: Model for chemotaxis
cites work: Traveling bands of chemotactic bacteria: a theoretical analysis
cites work: New adaptive artificial viscosity method for hyperbolic systems of conservation laws
cites work: Numerical study of two-species chemotaxis models
cites work: Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type.
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
cites work: On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
cites work: Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
cites work: Non-oscillatory central differencing for hyperbolic conservation laws
cites work: Random walk with persistence and external bias
cites work: PDE models for chemotactic movements: parabolic, hyperbolic and kinetic.
cites work: Q3412821
cites work: Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
cites work: A flux-corrected finite element method for chemotaxis problems
cites work: High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
cites work: Model and analysis of chemotactic bacterial patterns in a liquid medium
cites work: Fractional step methods applied to a chemotaxis model
cites work: Multi-components chemotactic system in the absence of conflicts
DOI: 10.1007/S10444-017-9545-9
description: scientific article; zbMATH DE number 6838734