Functionally-fitted energy-preserving integrators for Poisson systems (Q1656735)

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English	Functionally-fitted energy-preserving integrators for Poisson systems	scientific article

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scholarly article

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Functionally-fitted energy-preserving integrators for Poisson systems (English)

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Journal of Computational Physics

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publication date

10 August 2018

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full work available at URL

https://arxiv.org/abs/1712.06084

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zbMATH Keywords

Poisson systems

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energy preservation

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functionally-fitted integrators

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MaRDI profile type

MaRDI publication profile

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Energy-preserving methods for Poisson systems

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Line integral methods which preserve all invariants of conservative problems

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Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)

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Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae

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Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems

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Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type

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On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages

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Symmetric and symplectic exponentially fitted Runge-Kutta methods of high order

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Energy-preserving integrators and the structure of B-series

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The minimal stage, energy preserving Runge–Kutta method for polynomial Hamiltonian systems is the averaged vector field method

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An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants

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Linear energy-preserving integrators for Poisson systems

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Symplectic Geometric Algorithms for Hamiltonian Systems

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Exponentially fitted symplectic integrators of RKN type for solving oscillatory problems

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Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency

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Geometric Numerical Integration

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Preserving algebraic invariants with Runge-Kutta methods

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Exponential Integrators Preserving First Integrals or Lyapunov Functions for Conservative or Dissipative Systems

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Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems

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Discrete gradient methods have an energy conservation law

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Geometric integration using discrete gradients

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Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems

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A derivation of energy-preserving exponentially-fitted integrators for Poisson systems

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An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems

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A new class of energy-preserving numerical integration methods

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Exponential fitted Runge-Kutta methods of collocation type: Fixed or variable knot points?

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A fourth-order symplectic exponentially fitted integrator

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Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems

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A new high precision energy-preserving integrator for system of oscillatory second-order differential equations

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Improved filon-type asymptotic methods for highly oscillatory differential equations with multiple time scales

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Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations

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Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

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Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations

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Structure-Preserving Algorithms for Oscillatory Differential Equations II

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Efficient energy-preserving integrators for oscillatory Hamiltonian systems

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Explicit symplectic multidimensional exponential fitting modified Runge-Kutta-Nyström methods

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Structure-Preserving Algorithms for Oscillatory Differential Equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2018.03.015

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Sitelinks

Mathematics(1 entry)

mardi Publication:1656735

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