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A Taylor Series Integration Method with Coupling in Structural Dynamics
Applied Mechanics and Materials, 2012Based on the coupled precise time integration method and basic assumptions of constant average acceleration method in Newmark family, implicit series solution of structural dynamic equation is put forward by introducing the Taylor series expansion. Relevant time step integration formulas were designed. Stability and accuracy of the method were analyzed.
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The Taylor series method of order p and Adams–Bashforth method on time scales
Mathematical Methods in the Applied Sciences, 2023Svetlin G Georgiev, Inci M Erhan
exaly
Taylor’s series expansion method for nonlinear variable-order fractional 2D optimal control problems
AEJ - Alexandria Engineering Journal, 2020M H Heydari +2 more
exaly
On Taylor Series Expansions with Generalized Perturbation Methods
Nuclear Science and Engineering, 1981Vincent A. Perone +2 more
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