Issues with positivity-preserving Patankar-type schemes
From MaRDI portal
Publication:2085653
DOI10.1016/j.apnum.2022.07.014zbMath1506.65106arXiv2108.07347OpenAlexW3216639823MaRDI QIDQ2085653
Philipp Öffner, Hendrik Ranocha, Davide Torlo
Publication date: 18 October 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.07347
Runge-Kutta methodsimplicit-explicit methodspositivity preservationsemi-implicit methodsdeferred correction methodsPatankar-type methods
Related Items (4)
On the stability of strong-stability-preserving modified Patankar–Runge–Kutta schemes ⋮ A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods ⋮ On the dynamics of first and second order GeCo and gBBKS schemes ⋮ An arbitrary high order and positivity preserving method for the shallow water equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities
- A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
- Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations
- A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems
- Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
- A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations
- \(L_2\) stability of explicit Runge-Kutta schemes
- On order conditions for modified Patankar-Runge-Kutta schemes
- High order schemes for hyperbolic problems using globally continuous approximation and avoiding mass matrices
- Positivity for convective semi-discretizations
- Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems
- Stiff differential equations solved by Radau methods
- Arbitrary high-order, conservative and positivity preserving Patankar-type deferred correction schemes
- \textit{GeCo}: geometric conservative nonstandard schemes for biochemical systems
- Positivity-preserving time discretizations for production-destruction equations with applications to non-equilibrium flows
- Positivity-preserving adaptive Runge-Kutta methods
- Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems
- A comprehensive theory on generalized BBKS schemes
- A third-order unconditionally positivity-preserving scheme for production-destruction equations with applications to non-equilibrium flows
- On the existence of three-stage third-order modified Patankar-Runge-Kutta schemes
- An improved and generalized second order, unconditionally positive, mass conserving integration scheme for biochemical systems
- Inflow-implicit/outflow-explicit finite volume methods for solving advection equations
- Inflow-Implicit/Outflow-Explicit Scheme for Solving Advection Equations
- Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term
- Julia: A Fresh Approach to Numerical Computing
- Positivity and Conservation Properties of Some Integration Schemes for Mass Action Kinetics
- Energy Stability of Explicit Runge--Kutta Methods for Nonautonomous or Nonlinear Problems
- Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
- Unconditional Contractivity in the Maximum Norm of Diagonally Split Runge--Kutta Methods
- Iterative Solution Methods
- A Note on Unconditional Maximum Norm Contractivity of Diagonally Split Runge–Kutta Methods
- On strong stability of explicit Runge–Kutta methods for nonlinear semibounded operators
- On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes
- Strong Stability of Explicit Runge--Kutta Time Discretizations
This page was built for publication: Issues with positivity-preserving Patankar-type schemes
