A family of second-order fully explicit time integration schemes

DOI10.1007/s40314-017-0520-3zbMath1432.65092OpenAlexW2766241857MaRDI QIDQ1993625

Mahdi Karimi-Rad, Mohammad Rezaiee-Pajand

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-017-0520-3

zbMATH Keywords

second-order accuracynumerical dissipationnumerical dispersionexplicit time integrationnonlinear structural dynamics

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics ⋮ On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables ⋮ A suite of second-order composite sub-step explicit algorithms with controllable numerical dissipation and maximal stability bounds ⋮ Noniterative Integration Algorithms with Controllable Numerical Dissipations for Structural Dynamics ⋮ On second-order \(s\)-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems ⋮ A novel sub-step explicit time integration method based on cubic B-spline interpolation for linear and nonlinear dynamics

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