Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems (Q6068802)

scientific article; zbMATH DE number 7779192

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English	Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems	scientific article; zbMATH DE number 7779192

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instance of

scholarly article

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title

Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems (English)

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SIAM Journal on Scientific Computing

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publication date

15 December 2023

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zbMATH Keywords

oscillatory Hamiltonian systems

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exponential Rosenbrock-type methods

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relaxation parameter

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high-order accuracy

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conservation

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stability

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MaRDI profile type

MaRDI publication profile

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cites work

Implicit–explicit multistep methods for nonlinear parabolic equations

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Maximum norm analysis of implicit–explicit backward difference formulae for nonlinear parabolic equations

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Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators

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Exponential Integrators for Large Systems of Differential Equations

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Exponential integrators

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Highly stable implicit-explicit Runge-Kutta methods

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An adaptive meshless local Petrov-Galerkin method based on a posteriori error estimation for the boundary layer problems

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Higher-order additive Runge-Kutta schemes for ordinary differential equations

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Relaxation Runge--Kutta Methods: Conservation and Stability for Inner-Product Norms

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IMEX Runge-Kutta schemes for reaction-diffusion equations

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Generalized integrating factor methods for stiff PDEs

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Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems

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Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations

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Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle

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Efficient exponential time integration for simulating nonlinear coupled oscillators

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Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons

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Parallel exponential Rosenbrock methods

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Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions

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Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems

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Relaxation Runge-Kutta methods for Hamiltonian problems

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General relaxation methods for initial-value problems with application to multistep schemes

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Relaxation Runge--Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier--Stokes Equations

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Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field

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High-order multi-symplectic schemes for the nonlinear Klein-Gordon equation

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Identifiers

DOI

10.1137/22m1511345

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6068802