Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme

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The Bathe time integration method with controllable spectral radius: The ρ∞-Bathe method (2019, background): “This was an important point made in proposing this time integration scheme [16].”
A finite element method enriched for wave propagation problems (2012, methodology): “These oscillations are somewhat reduced using the time integration method proposed by Bathe [54] but are still present.”
Fluid–structure interaction involving large deformations: 3D simulations and applications to biological systems (2014, methodology): “Bathe KJ. Conserving energy and momentum in nonlinear dynamics: a simple implicit time integration scheme.”
Accuracy of a composite implicit time integration scheme for structural dynamics (2017, methodology): “It should be mentioned that, for the optimized algorithm in the generalized two sub-steps composite schemes, that is, the Bathe method, some results about the dissipation and dispersion of this algorithm had already been given in [20, 22, 23, 31], while a more comprehensive investigation is shown la”
Insight into an implicit time integration scheme for structural dynamics (2012, methodology): “[1,2] referred to herein as the ‘Bathe method’.”
Performance of an implicit time integration scheme in the analysis of wave propagations (2013, methodology): “In the Bathe method, the following relations are employed [2]”