\textit{GeCo}: geometric conservative nonstandard schemes for biochemical systems

DOI10.1016/j.apnum.2019.12.004zbMath1436.65083OpenAlexW2995135341WikidataQ126538752 ScholiaQ126538752MaRDI QIDQ1989369

Angela Martiradonna, Gianpiero Colonna, Fasma Diele

Publication date: 21 April 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.12.004

zbMATH Keywords

geometric numerical integrationbiochemical systemspositive integratorsstiff dynamics

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Applications to the sciences (65Z05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (7)

Positivity-preserving methods for ordinary differential equations ⋮ On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes ⋮ On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes ⋮ Some qualitative properties of the discrete models for malaria propagation ⋮ On the dynamics of first and second order GeCo and gBBKS schemes ⋮ Stability and errors estimates of a second-order IMSP scheme ⋮ Issues with positivity-preserving Patankar-type schemes

Uses Software

• CUDA

Cites Work

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