Invariants preserving schemes based on explicit Runge-Kutta methods

DOI10.1007/S10543-016-0608-YzbMath1358.65046OpenAlexW2273401166MaRDI QIDQ727896

D. Kharzeev

Publication date: 21 December 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-016-0608-y

zbMATH Keywords

stabilitynumerical experimentsinitial value problemsprojection methodsexplicit Runge-Kutta methodsnumerical geometric integrationperturbed collocation methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (9)

Drift-preserving numerical integrators for stochastic Poisson systems ⋮ Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems ⋮ General relaxation methods for initial-value problems with application to multistep schemes ⋮ Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations ⋮ Analysis of energy and quadratic invariant preserving (EQUIP) methods ⋮ Drift-preserving numerical integrators for stochastic Hamiltonian systems ⋮ Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations ⋮ Projection of second derivative methods for ordinary differential equations with invariants ⋮ Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations

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