Numerical methods for non conservative perturbations of conservative problems
DOI10.1016/j.cpc.2014.10.012zbMath1348.70004OpenAlexW2064265035MaRDI QIDQ337716
M. P. Laburta, Juan I. Montijano, Luis Rández, Manuel Calvo
Publication date: 10 November 2016
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: http://zaguan.unizar.es/record/60614
initial value problemsdissipative systemsprojection methodsexplicit Runge-Kutta methodsnon conservative perturbed systemsnumerical geometric integration
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical integration (65D30) Approximation methods and numerical treatment of dynamical systems (37M99)
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- Energy-preserving methods for Poisson systems
- Line integral methods which preserve all invariants of conservative problems
- A simple framework for the derivation and analysis of effective one-step methods for ODEs
- Linear energy-preserving integrators for Poisson systems
- Geometric integration of Hamiltonian systems perturbed by Rayleigh damping
- A 3(2) pair of Runge-Kutta formulas
- Projection methods preserving Lyapunov functions
- A family of embedded Runge-Kutta formulae
- Runge-Kutta projection methods with low dispersion and dissipation errors
- Approximate preservation of quadratic first integrals by explicit Runge-Kutta methods
- Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
- Geometric integration methods that preserve Lyapunov functions
- What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration
- Preserving multiple first integrals by discrete gradients
- The MATLAB ODE Suite
- Solving Ordinary Differential Equations I
- On the Preservation of Invariants by Explicit Runge--Kutta Methods
- Energy-preserving Runge-Kutta methods
- A new class of energy-preserving numerical integration methods
- Geometric integrators for ODEs
- s-stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type
- Hamiltonian BVMs (HBVMs): A Family of “Drift Free” Methods for Integrating polynomial Hamiltonian problems
- Credit risk valuation. Methods, models, and applications.
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