Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

DOI10.4208/aamm.2014.m794zbMath1499.65298OpenAlexW2469184508MaRDI QIDQ5153644

Xiong Xie, Fangzong Wang, Xiaobing Liao

Publication date: 30 September 2021

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

Full work available at URL: https://doi.org/10.4208/aamm.2014.m794

zbMATH Keywords

Padé approximationsorderRunge-Kutta methodnumerical stabilitydifferential quadrature method\textbf{V}-transformation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Application of differential quadrature to transport processes
• Differential quadrature for static and free vibration analyses of anisotropic plates
• Stability and accuracy of differential quadrature method in solving dynamic problems
• Differential quadrature and longterm integration
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• Solving initial value problems by differential quadrature method?part 1: first-order equations
• Application of differential quadrature to static analysis of structural components
• Application of generalized differential quadrature method to structural problems
• On the equivalence of the time domain differential quadrature method and the dissipative Runge-Kutta collocation method
• Numerical Methods for Ordinary Differential Equations
• Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time.
• Coupling dual reciprocity BEM and differential quadrature method for time-dependent diffusion problems
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