Numerical integration of positive linear differential-algebraic systems
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Publication:1955638
DOI10.1007/s00211-013-0514-zzbMath1277.65068OpenAlexW2089257158MaRDI QIDQ1955638
Ann-Kristin Baum, Volker Mehrmann
Publication date: 17 June 2013
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://depositonce.tu-berlin.de/handle/11303/15759
Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)
Related Items (4)
Numerical integration of positive linear differential-algebraic systems ⋮ Preservation of quadratic stability under various common approximate discretization methods ⋮ Positivity and stability analysis for linear implicit difference delay equations ⋮ On finite element method-flux corrected transport stabilization for advection-diffusion problems in a partial differential-algebraic framework
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Cites Work
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- A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone
- Stability analysis of positive descriptor systems
- Absolute monotonicity of rational functions occurring in the numerical solution of initial value problems
- Contractivity preserving explicit linear multistep methods
- Model and analysis of chemotactic bacterial patterns in a liquid medium
- Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
- A positive finite-difference advection scheme
- Positive systems. Proceedings of the first multidisciplinary international symposium on positive systems: Theory and applications (POSTA 2003), Rome, Italy, August 28--30, 2003
- On the positivity step size threshold of Runge--Kutta methods
- The numerical solution of differential-algebraic systems by Runge-Kutta methods
- Numerical integration of positive linear differential-algebraic systems
- Absolute monotonicity of polynomials occuring in the numerical solution of initial value problems
- Positive systems. Proceedings of the second multidisciplinary international symposium on positive systems: Theory and applications (POSTA 06), Grenoble, France, August 30 -- September 1, 2006
- Positively invariant cones of dynamical systems under Runge-Kutta and Rosenbrock-type discretization
- Computation of optimal monotonicity preserving general linear methods
- Mathematical Structures of Epidemic Systems
- Solving Ordinary Differential Equations I
- Contractivity-Preserving Implicit Linear Multistep Methods
- Convergence and stability in the numerical integration of ordinary differential equations
- Reactor Criticality and Nonnegative Matrices
- Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
- Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
- Mathematical Modelling of Tumour Invasion and Metastasis
- Positive and compartmental systems
- Positive 1D and 2D systems
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