to describe a spectral analysis by adapting an operator method of Lafitte and Nguyễn (Water Waves 4:259–305, 2022) and to prove that there are infinite nontrivial solutions [Math Processing Error](λn,ϕn)n≥1 of (0.1)–(0.2...
After the Fundamental Theorem of the Calculus, Taylor’s theorem and the Taylor series form the most important theoretical and practical tool of the calculus. They certainly comprise the central concept of numerical analysis. In the last chapter we developed many familiar functions in series and acq...
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The design point can be calculated by finding the maximum to an objective function, which is obtained by modifying the joint PDF of the relevant problem. The maximum is searched for in the original physical random variable space X and not in the transformed space U. Once the design point is...
Baum, Otero (BC/DIW, U. del Rosario) Leybourne–Taylor seasonal unit root tests London 2018 16 / 32 The Leybourne–Taylor seasonal unit root test The Leybourne–Taylor seasonal unit root test The Leybourne–Taylor test, presented in Journal of Time Series Analysis (2003), leverages the HEGY ...
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We repeat some of the analysis restricted to more intense tornadoes (F2 þ ; Supplementary Figs 7–10). Number of tornadoes per outbreak. The annual number of F1 þ tornadoes shows no significant trend over the period 1954–2014 (Fig. 1a). Generally, trends have not been found in the...
Get PDF (837K) Keywords: Advection; Diffusion; Finite element; Two-dimensional Abstract A new finite element method, the Taylor–least-squares, is proposed to approximate the advection-dominated unsteady advection–diffusion equation. The new scheme is a direct generalization of the Taylor–Galerkin ...
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xr Error analysis (EN(xr)) N = 5N = 8N = 10N = 20 0 0 0 0 0 0.1 4.62E − 3 5.08E − 6 0 0 0.2 0 6.72E − 6 0 0 0.3 4.54E − 3 1.45E − 6 0 0 0.4 0 3.82E − 6 0 0 0.5 7.85E − 3 0 0 0 0.6 0 2.62E − 5 0 0 0.7 5.42E − 2 3.01E...