Linearly Implicit Local and Global Energy-Preserving Methods for PDEs with a Cubic Hamiltonian
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Publication:5131991
DOI10.1137/19M1272688zbMath1456.37094arXiv1907.02122WikidataQ114074244 ScholiaQ114074244MaRDI QIDQ5131991
Publication date: 9 November 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02122
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items (9)
Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation ⋮ A new symmetric linearly implicit exponential integrator preserving polynomial invariants or Lyapunov functions for conservative or dissipative systems ⋮ Structure-preserving reduced-order modeling of Korteweg-de Vries equation ⋮ Global energy preserving model reduction for multi-symplectic PDEs ⋮ A linear decoupled physical-property-preserving difference method for fractional-order generalized Zakharov system ⋮ Efficient high-order physical property-preserving difference methods for nonlinear fourth-order wave equation with damping ⋮ A high-order linearly implicit energy-preserving Partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations ⋮ The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs ⋮ Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs
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