Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework
From MaRDI portal
Publication:6118566
DOI10.1016/j.cma.2023.116503MaRDI QIDQ6118566
No author found.
Publication date: 21 March 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
stabilitytime integrationcontrollable numerical dissipationstructural dynamicsaccuracy analysisalgorithm optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improved implicit method with dissipation control capability: the simple generalized composite time integration algorithm
- Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
- The analysis of the generalized-\(\alpha\) method for nonlinear dynamic problems
- A composite integration scheme for the numerical solution of systems of parabolic PDEs in one space dimension
- A family of single-step Houbolt time integration algorithms for structural dynamics
- Analysis and implementation of TR-BDF2
- Improved second-order unconditionally stable schemes of linear multi-step and equivalent single-step integration methods
- Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics
- Dahlquist's barriers and much beyond
- Design of order-preserving algorithms for transient first-order systems with controllable numerical dissipation
- Advances in Computational Dynamics of Particles, Materials and Structures
- An explicit family of time marching procedures with adaptive dissipation control
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Solving Ordinary Differential Equations I
- Survey of the stability of linear finite difference equations
- On One-Leg Multistep Methods
- A further look at Newmark, Houbolt, etc., time-stepping formulae
- A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods
- A survey of direct time-integration methods in computational structural dynamics—II. Implicit methods
- A family of Houbolt methods for dynamic vibration problems
- Stability properties of the Newmark, Houbolt and Wilson θ methods
- An alpha modification of Newmark's method
- An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations
- On accuracy and unconditional stability of linear multistep methods for second order differential equations
- Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics
- On the variational method in the direct integration of the transient structural response
- The automatic integration of ordinary differential equations
- A special stability problem for linear multistep methods
- Integration of Stiff Equations
- Numerical Methods for Ordinary Differential Equations
