Positivity-preserving methods for ordinary differential equations
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Publication:5044405
DOI10.1051/m2an/2022042OpenAlexW4285047878WikidataQ115334311 ScholiaQ115334311MaRDI QIDQ5044405
Sergio Blanes, Arieh Iserles, Shev MacNamara
Publication date: 31 October 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08242
stability analysisexponential integratorspositivity-preserving methodsMagnus integratorsgraph Laplacian matrices
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for stiff equations (65L04)
Related Items
On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes, Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions, On the dynamics of first and second order GeCo and gBBKS schemes, Magnus integrators for linear and quasilinear delay differential equations, Dynamical Systems–Based Neural Networks, Continuous-stage adapted exponential methods for charged-particle dynamics with arbitrary magnetic fields
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Cites Work
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- A second-order positivity preserving scheme for semilinear parabolic problems
- High-order commutator-free exponential time-propagation of driven quantum systems
- A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems
- A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations
- On order conditions for modified Patankar-Runge-Kutta schemes
- High-order commutator-free quasi-Magnus exponential integrators for non-autonomous~linear evolution equations
- Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems
- Positive and conservative schemes for mass action kinetics
- Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes
- \textit{GeCo}: geometric conservative nonstandard schemes for biochemical systems
- A comprehensive theory on generalized BBKS schemes
- On the construction of symmetric second order methods for ODEs
- On the positivity of Poisson integrators for the Lotka-Volterra equations
- A constrained Langevin approximation for chemical reaction networks
- Laplacian dynamics on general graphs
- An improved and generalized second order, unconditionally positive, mass conserving integration scheme for biochemical systems
- A Concise Introduction to Geometric Numerical Integration
- Positivity and Conservation Properties of Some Integration Schemes for Mass Action Kinetics
- Geometric Numerical Integration
- A First Course in the Numerical Analysis of Differential Equations
- Multiscale Modeling of Chemical Kinetics via the Master Equation
- Global Asymptotic Stability of Solutions of Nonautonomous Master Equations
- Invariant Manifolds of Binomial-Like Nonautonomous Master Equations
- Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
- On the solution of linear differential equations in Lie groups
- Robustness Analysis of Spatiotemporal Models in the Presence of Extrinsic Fluctuations
- Solving Ordinary Differential Equations II
- Applications of Magnus expansions and pseudospectra to Markov processes
- Exponential Rosenbrock-Type Methods
- Fractional Euler Limits and their Applications
- Balanced Splitting and Rebalanced Splitting
- On the exponential solution of differential equations for a linear operator
- Positive numerical integration methods for chemical kinetic systems
