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Accuracy of a composite implicit time integration scheme for structural dynamics

https://doi.org/10.1002/nme.5291
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Outgoing claims: the papers this work cites, builds on, or argues with.

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The unimportance of the spurious root of time integration algorithms for structural dynamics
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Stability and accuracy analysis of direct integration methods
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Improved numerical dissipation for time integration algorithms in structural dynamics
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Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics
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The ρ‐family of algorithms for time‐step integration with improved numerical dissipation
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An error analysis of truncated starting conditions in step‐by‐step time integration: Consequences for structural dynamics
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Limitations on linear multistep methods for structural dynamics
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A new family of generalized‐α time integration algorithms without overshoot for structural dynamics
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An alpha modification of Newmark's method
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Numerical integration of structural dynamics equations including natural damping and periodic forcing terms
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A unified set of single step algorithms. Part 2: Theory
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A unified set of single step algorithms part 3: The beta‐ m method, a generalization of the Newmark scheme
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Accuracy of one‐step integration schemes for damped/forced linear structural dynamics
inferredcites →https://doi.org/10.1002/nme.4975openalex-snapshot
Degenerated shell element with composite implicit time integration scheme for geometric nonlinear analysis
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Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
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Numerical dissipation in time‐step integration algorithms for structural dynamic analysis
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A special stability problem for linear multistep methods
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The time dimension: A theory towards the evolution, classification, characterization and design of computational algorithms for transient/ dynamic applications
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More accurate and stable time integration scheme
inferredcites →https://doi.org/10.1007/s00466-001-0273-zopenalex-snapshot
The analysis of the Generalized -Α method for non-linear dynamic problems
inferredcites →https://doi.org/10.1007/s00466-014-1096-zopenalex-snapshot
Enhanced studies on a composite time integration scheme in linear and non-linear dynamics
inferredcites →https://doi.org/10.1007/s00466-015-1152-3openalex-snapshot
A robust composite time integration scheme for snap-through problems
inferredcites →https://doi.org/10.1007/s10409-006-0025-6openalex-snapshot
A time integral formulation and algorithm for structural dynamics with nonlinear stiffness
inferredcites →https://doi.org/10.1016/0045-7825(73)90015-7openalex-snapshot
Non-linear oscillations using the finite element technique
inferredcites →https://doi.org/10.1016/0045-7825(73)90023-6openalex-snapshot
Evaluation of numerical integration methods in elastodynamics
inferredcites →https://doi.org/10.1016/0045-7825(87)90013-2openalex-snapshot
The finite element method. Linear static and dynamic finite element analysis
inferredcites →https://doi.org/10.1016/0045-7825(88)90053-9openalex-snapshot
Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
inferredcites →https://doi.org/10.1016/0045-7825(88)90070-9openalex-snapshot
Practical performance of the and comparison with other dissipative algorithms in structural dynamics
inferredcites →https://doi.org/10.1016/0045-7949(89)90314-3openalex-snapshot
A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods
inferredcites →https://doi.org/10.1016/0045-7949(89)90315-5openalex-snapshot
A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
inferredcites →https://doi.org/10.1016/j.compstruc.2005.08.001openalex-snapshot
On a composite implicit time integration procedure for nonlinear dynamics
inferredcites →https://doi.org/10.1016/j.compstruc.2006.09.004openalex-snapshot
Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme
inferredcites →https://doi.org/10.1016/j.compstruc.2012.01.009openalex-snapshot
Insight into an implicit time integration scheme for structural dynamics
inferredcites →https://doi.org/10.1016/j.compstruc.2013.02.006openalex-snapshot
Performance of an implicit time integration scheme in the analysis of wave propagations
inferredcites →https://doi.org/10.1016/j.compstruc.2013.07.001openalex-snapshot
The value of numerical amplification matrices in time integration methods
inferredcites →https://doi.org/10.1016/j.ijimpeng.2011.10.003openalex-snapshot
Crushing and crashing of tubes with implicit time integration
inferredcites →https://doi.org/10.1016/j.jcp.2009.12.028openalex-snapshot
BDF-like methods for nonlinear dynamic analysis
inferredcites →https://doi.org/10.1016/s0045-7825(02)00515-7openalex-snapshot
Time discretized operators. Part 1: towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics
inferredcites →https://doi.org/10.1016/s0045-7825(02)00516-9openalex-snapshot
Time discretized operators. Part 2: towards the theoretical design of a new generation of a generalized family of unconditionally stable implicit and explicit representations of arbitrary order for computational dynamics
inferredcites →https://doi.org/10.1061/jmcea3.0000098openalex-snapshot
A Method of Computation for Structural Dynamics
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Accuracy Evaluation of Newmark Method Referring to Theoretical Solutions
inferredcites →https://doi.org/10.1093/comjnl/15.2.155openalex-snapshot
Numerical Initial Value Problems in Ordinary Differential Equations
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Transient Simulation of Silicon Devices and Circuits
inferredcites →https://doi.org/10.1115/1.2900803openalex-snapshot
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
inferredcites →https://doi.org/10.1115/1.3169187openalex-snapshot
Computational Methods for Transient Analysis
inferredcites →https://doi.org/10.1243/09544062jmes2093openalex-snapshot
A Mixed and Multi-Step Higher-Order Implicit Time Integration Family
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Discrete Variable Methods in Ordinary Differential Equations.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Double-Variables Second-Order Explicit Precise Integration Method in Structural Dynamic Analysis
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Adjoint Hamiltonian Monte Carlo algorithm for the estimation of elastic modulus through the inversion of elastic wave propagation data
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A high‐order accurate explicit time integration method based on cubic b‐spline interpolation and weighted residual technique for structural dynamics
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A‐stable linear two‐step time integration methods with consistent starting and their equivalent single‐step methods in structural dynamics analysis
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A novel three sub‐step explicit time integration method for wave propagation and dynamic problems
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A new model-dependent time integration scheme with effective numerical damping for dynamic analysis
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A novel family of composite sub-step algorithms with desired numerical dissipations for structural dynamics
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A three-parameter single-step time integration method for structural dynamic analysis
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A novel family of controllably dissipative composite integration algorithms for structural dynamic analysis
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An analysis of implicit time integration schemes for wave propagations
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Further insights of a composite implicit time integration scheme and its performance on linear seismic response analysis
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