Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model

A Flux-Corrected Finite Element Method for Chemotaxis Problems

(2013) R. Strehl et al.   Computational Methods in Applied Mathematics

Maximum principle and convergence of central schemes based on slope limiters

(2011) Orhan Mehmetoglu et al.   MATHEMATICS OF COMPUTATION

Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

(2010) Steve Bryson et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

L∞-stability of vertex-based MUSCL finite volume schemes on unstructured grids: Simulation of incompressible flows with high density ratios

(2010) Caterina Calgaro et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Monoslope and multislope MUSCL methods for unstructured meshes

(2010) Thierry Buffard et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model

(2009) Yekaterina Epshteyn et al.   JOURNAL OF SCIENTIFIC COMPUTING

Stochastic Particle Approximation for Measure Valued Solutions of the 2D Keller-Segel System

(2009) Jan Haškovec et al.   JOURNAL OF STATISTICAL PHYSICS

Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

(2008) Yekaterina Epshteyn   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws

(2008) Ivan Christov et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

(2008) Alina Chertock et al.   NUMERISCHE MATHEMATIK

New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model

(2008) Yekaterina Epshteyn et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS